A SYSTEM 
 
 OF 
 
 GEOMETRY AND TRIGONOMETRY 
 
 WITH A 
 
 TREATISE ON SURVEYING, 
 
 IN WHICH THE PRINCIPLES OP 
 
 RECTANGULAR SURVEYING, 
 
 WITHOUT PLOTTING, 
 
 ARE EXPLAINED. 
 
 BY ABEL FLINT, A.M. 
 
 STEREOTYPE EDITION, ENLARGED, 
 
 WITH ADDITIONAL TABLES. 
 
 BY GEORGE GILLET, 
 
 SURVEYOR GENERAL OP CONNECTICUT. 
 
 HARTFORD : 
 
 BELKNAP AND HAMERSLEY. 
 1838. 
 
ENTERED, 
 according to the Act of Congress, in the year 1835, by 
 
 EDWARD P. COOKE, 
 
 in the Clerk's Office of the District Court of 
 CONNECTICUT. 
 
v ; .-.i 
 
 ~TM 
 
 THE original compiler of the following work design- 
 ed, in preparing it, to furnish a plain and concise system 
 of PRACTICAL SURVEYING. 
 
 That he did not fail of success, has been proved by 
 the high estimation in which this treatise has been, and 
 is, at the present time, held by Surveyors, and by the 
 continued and increasing demand for it. 
 
 In the present edition, practical matter, has been add- 
 ed by GEORGE GILLET, Esq., Surveyor General of the 
 state of Connecticut ; and in addition to all the tables 
 of the best treatises extant, it contains the only table of 
 Natural Tangents ever published in this country. 
 
 In the table of logarithms, and of logarithmic sines, 
 &c., the decimals are carried to six figures, and a co- 
 lumn of differences is added, for the purpose of finding 
 intermediate numbers. The use of these tables is so fa- 
 miliarly explained and illustrated by examples, that no 
 other instruction upon this subject is necessary. 
 
 The articles on distributing estates, locating and sur- 
 veying roads, and on levelling, cannot fail of being 
 highly useful to the practical surveyor. 
 
 The work being now used extensively in schools and 
 academies, it has been the chief object of the publishers 
 to render it acceptable as a text book. 
 
 M306235 
 
The subscribers have examined, in manuscript, the additions to the 
 seventh edition of FLINT'S SURVEYING, by GEORGE GILLET, Esq , Sur- 
 veyor General of Connecticut, and find them to embrace a system of 
 correct, useful, and practical matter, judiciously arranged, and clearly 
 explained to the understanding of the learner. Having long acted as 
 Surveyors under public authority, we recommend this work, as con- 
 taining all the elementary science, and requisite'tables, necessary or 
 convenient for the learner and the practitioner. The present is a more 
 full and complete system than any former edition. 
 
 MOSES WARREN, Dep. Sur. N. London Co. 
 
 LEMUEL INGALLS, late Dep. Sur. Windham Co. 
 
 DANIEL ST. JOHN, Dep. Sur. Hartford Co. 
 
 ASAHEL DEWEY, County Sur., N. London Co. 
 
 JONATHAN NICHOLS, Dep. Sur. Windham Co. 
 Connecticut, August, 1832. 
 
 FLINT'S SURVEYING has now been before the public upwards of thirty 
 years. During this period, it has passed through numerous editions, 
 and been enriched, from time to time, by important contributions from 
 the present Surveyor General, GEORGE GILLET, Esq. The distinguish- 
 ing feature of the work, as now published, is its excellent adaptation to 
 the every day wants of the practical surveyor, while it supplies to aca- 
 demies and private students an eminently useful, clear, and well-digest- 
 ed system of elementary instruction, both in the theory and practice of 
 Surveying. I know of no work, in this respect, which equals it. 
 
 E. H. BURRITT, Civil Engineer. 
 
 New Britain, Con., Nov., 1835. 
 
GEOMETRY. 
 
 GEOMETRY is a science which treats of the properties 
 of magnitude. 
 
 PART I. 
 GEOMETRICAL DEFINITIONS. 
 
 1. A point is a small dot; or, mathematically considered, 
 is that which has no parts, being of itself indivisible. 
 
 2. A line has length but no breadth. 
 
 3. A superficies or surface, called also area, has length 
 nnd breadth, but no thickness. ' 
 
 4. A solid has length, breadth, and thickness. 
 
 5. A right line is the shortest that can be drawn between 
 two points. 
 
 6. The inclination of two lines meeting 
 one another, or the opening between 
 them, is called an angle. Thus, atB, Fig. 
 1, is an angle, formed by the meeting of 
 the lines A B and B C. 
 
 7. If a right line C D, Fig. 2, fall upon 
 another right line A B, so as to incline to 
 neither side, but make the angles on each 
 side equal, then those angles are called 
 right angles ; and the line C D is said to be 
 perpendicular to the other line. 
 
 Fig. 1. 
 
10 
 
 GEOMETRY. 
 
 Fig. 3. 
 
 8. An obtuse angle is greater than a 
 right angle ; as A D E, Fig. 3. 
 
 9. An acute angle is less than a right 
 angle; asEDB, Fie. 3. 
 
 NOTE. When three letter? arc used to express an angle, 
 the middle letter denotes the angular point. 
 
 10. A circle is a round figure bounded Fig. 4. 
 by a single line, in every part equally dis- ^ 
 
 tant from some point, which is called the ^ \ 
 
 centre. Fig. 4. / \ 
 
 11. The circumference or periphery of a -J \ 
 
 circle is the bounding line ; as A D E B, * 
 
 Fig. 4. 
 
 12. The radius of a circle is a line 
 drawn from the centre to the circumfe- 
 rence ; as C B, Fig. 4. Therefore all radii 
 of the same circle are equal. 
 
 13. The diameter of a circle is a right 
 'line drawn from one side of the circumfe- 
 rence to the other, passing through the cen- 
 tre ; and it divides the circle into two equal 
 parts, called semicircles; as ABor DE, 
 Fig. 5. 
 
 14. The circumference of every circle 
 is supposed to be divided into 360 equal 
 parts, called degrees ; and each degree into 
 60 equal parts, called minutes; and each 
 minute into 60 equal parts, called seconds ; 
 and these into thirds, &c. 
 
 NOTE. Since all circles are divided into the same num- 
 ber of degrees, a degree is not to be accounted a quan- 
 tity of any determinate length, as so many inches or feet, 
 &c. but is always to be reckoned as being the 360th part 
 of the circumference of any circle, without regarding the 
 size of the circle. 
 
 15. An arc of a circle is any part of the circumference; 
 as B F or F D, Fig. 5 ; and is said to be an arc of as many 
 degrees as it contains 360th parts of the whole circle. 
 
 Fig. 5. 
 
GEOMETRY. 
 
 11 
 
 16. A chord is a right line drawn from 
 one end of an arc to another, and is the 
 measure of the arc ; as H G is the chord of A 
 the arc H I G, Fig. 6. 
 
 NOTE. The chord of an arc of 60 degrees is equal in 
 length to the radius of the circle of which the arc is a 
 part. 
 
 17. The segment of a circle is a part of a circle cut off 
 by a chord; thus, the space comprehended between the arc 
 H I G and the chord H G is called a segment. Fig. 6. 
 
 18. A sector of a circle is a space contained between two 
 radii, and an arc less than a semicircle ; as B C D, or A C D, 
 Fig. 6. 
 
 19. The sine of an arc is a line drawn Fig. 7. 
 from one end of the arc, perpendicular 
 
 to the radius or diameter drawn through 
 the other end : or, it is half the chord of 
 double the arc ; thus, H L is the sine of 
 the arc H B, Fig. 7. 
 
 20. The sines on the same diameter in- 
 crease in length till they come to the cen- A 
 tre, and so become the radius, after whjch 
 they diminish. Hence it is plain that the 
 sine of 90 degrees is the greatest possible 
 sine, and is equal to the radius. 
 
 21. The versed sine of an arc is that part of the diameter 
 or radius which is between the sine and the circumference; 
 thus L B is the versed sine of the arc H B, Fig. 7. 
 
 22. The tangent of an arc is a right line touching the 
 circumference, and drawn perpendicular to the diameter ; and 
 is terminated by a line drawn from the centre through the 
 other end of the arc ; thus, B K is the tangent of the arc B H, 
 Fig. 7. 
 
 NOTE. , The tangent of an arc of 45 degrees is equal in 
 length to the radius of the circle of which the arc is a 
 part. 
 
12 GEOMETRY. 
 
 23. The secant of an arc is a line drawn from the centre 
 through one end of the arc till it meets the tangent; thus, 
 C K is the secant of the arc B H, Fig. 7. 
 
 24. The complement of an arc is what the arc wants of 90 
 degrees, or a quadrant: thus, H D is the complement of the 
 arc B H, Fig. 7. 
 
 25. The supplement of an arc is what the arc wants of 180 
 degrees, or a semicircle ; thus A D H is the supplement of the 
 arc B H, Fig. 7. 
 
 NOTE. It will be seen by reference to Fig. 7, that the sine 
 of any arc is the same as that of its supplement. So, 
 likewise, the tangent and secant of any arc are used 
 also for its supplement. 
 
 26. The sine, tangent, or secant, of the complement of any 
 arc, is called the co-sine, co-tangent, or co-secant of the arc ; 
 thus, F H is the sine, D I the tangent, and C I the secant of the 
 arc D H ; or they are the co-sine, co-tangent, and co-secant 
 of the arc B H, Fig. 7. 
 
 [The terms sine, tangent, and secant, are abbreviated thus : 
 sin., tan., and sec. So, likewise, co-sine, co-tangent, and co- 
 secant, are written co-sin., co-tan., and co-sec.] 
 
 27. The measure of an angle is the arc of a circle contain- 
 ed between the two lines which form the angle, the angular 
 point being the centre ; thus, the angle H C B, Fig. 7, is mea- 
 sured by the arc B H ; and is said to contain as many degrees 
 as the arc does. 
 
 NOTE. An angle is esteemed greater or less, according to 
 the opening of the lines which form it, or as the arc in- 
 tercepted by those lines contains more or fewer degrees. 
 Hence it may be observed, that the size of an angle does 
 not depend at all upon the length of the including lines; 
 for all arcs described on the same point, and intercepted 
 by the same right lines, contain exactly the same num- 
 ber of degrees, whether the radius be longer or shorter. 
 
 28. The sine, tangent, or secant of an arc, is also the sine, 
 tangent, or secant of the angle whose measure the arc is. 
 
 Fig. 8. 
 
 29. Parallel lines are such as are equal- ^ -g 
 
 ly distant from each other ; as A B and C D, 
 
 * 8 - 
 
GEOMETRY. 
 
 13 
 
 30. A triangle is a figure bounded by 
 three lines ; as A B C, Fig. 9. 
 
 31. An equilateral triangle has its three 
 sides equal in length to each other. Fig. 9. 
 
 32. An isosceles triangle has two of its sides 
 equal. Fig. 10. 
 
 fig. 10. 
 
 Fig. 11. 
 
 33. A scalene triangle has three unequal / 
 sides. Fig. 11. / 
 
 Fig. 12. 
 
 34. A right angled triangle has one 
 right angle. Fig. 12. 
 
 35. An obtuse angled triangle has one 
 obtuse angle. Fig. 13. 
 
 36. An acute angled triangle has all its angles acute. 
 Fig. 9, or 10. 
 
 37. Acute and obtuse angled triangles, are called oblique 
 angled triangles, or simply oblique triangles ; in which the 
 lower side is generally called the base, and the other two, 
 legs. 
 
 38. In a right angled triangle, the longest side is called the 
 hypothenuge, and the other two, legs, or base, and perpen- 
 dicular. 
 
 2* 
 
14 
 
 GEOMETRY. 
 
 NOTE. The three angles of every triangle being added 
 together will, amount to 180 degrees; consequently the 
 two acute angles of a right angled triangle amount to 90 
 degrees, the right angle being also 90. 
 
 39. The perpendicular height of a tri- 
 angle is a line drawn from one of the angles 
 perpendicular to its opposite side ; thus, the 
 dotted line A D, Fig. 14, is the perpen- 
 dicular height of the triangle ABC. 
 
 NOTE. This perpendicular may be drawn from either of 
 the angles ; and whether it falls within the triangle, or 
 on one of the lines continued beyond the triangle, is 
 immaterial. 
 
 Fig. 15. 
 
 40. A square is a figure bounded by four 
 equal sides, and containing four right angles. 
 Fig. 15. 
 
 41. A parallelogram, or oblong square, 
 is a figure bounded by four sides, the oppo- 
 site ones being equal, and the angles right.* 
 Fig. 16. 
 
 42. A rhombus is a figure bounded by 
 four equal sides, but has its angles oblique. 
 Fig. 17. 
 
 Fig. 16. 
 
 Fig. 17. 
 
 * Any four sided figure, having its opposite sides parallel, is a pa- 
 rallelogram ; but, in this book, the term is understood as it is here ex- 
 plained. Sometimes this figure is called a rectangle. 
 
GEOMETRY. 15 
 
 Fig. 18. 
 
 A 
 
 43. A rhomboid is a figure bounded 
 by four sides, the opposite ones being 
 equal, but the angles oblique. Fig. 18. 
 
 44. The perpendicular height of a rhombus or rhomboi- 
 des, is a line drawn from one of the angles to its opposite 
 side; thus, the dotted lines A B, Figs. 17 and 18, represent 
 the perpendicular heights of those figures. 
 
 Fig. 19. 
 
 r 
 
 45. A trapezoid is a figure bounded by 
 four sides, two of which are parallel, though 
 of unequal lengths. Fig. 19 and Fig, 20. 
 
 \ 
 
 Fig. 20. 
 
 NOTE. Fig. 19 is sometimes called a right angled trape- 
 zium. 
 
 Fig. 21. 
 
 46. A trapezium is a figure bounded by 
 four unequal sides. Fig. 21. 
 
 47. A diagonal is a line drawn between 
 two opposite angles ; as the line A B, Fig 
 21. 
 
 48. Figures which consist of more than- four sides are 
 called polygons ; if the sides are equal to each other, they are 
 called regular polygons, and are sometimes named from the 
 number of their sides, as pentagon, or hexagon, a figure of five 
 or six sides, &c. ; if the sides are unequal, they are called 
 irregular polygons. 
 
16 GEOMETRY. 
 
 PART II. 
 GEOMETRICAL PROBLEMS. 
 
 Fig. 22, 
 
 PROBLEM I. To draw a line paral- C D 
 lei to another line at any given distance ; 
 as at the point D, to make a line parallel _ > ____ .,..-' 
 to the line A B. Fig. 22. A E 
 
 With the dividers take the nearest distance between the 
 point D and the given line A B ; with that distance set one 
 foot of the dividers any where on the line A B, as at E, and 
 draw the arc C ; through the point D draw a line so as just to 
 touch the top of the arc C. 
 
 A more convenient way to draw parallel lines is with a 
 parallel rule. [The parallel, rules, however, found in cases 
 of mathematical instruments, are often inaccurate.] 
 
 Fig. 23. 
 
 PROBLEM II. To bisect a given 
 line ; or, to find the middle of it. Fig. 23. 
 
 D 
 
 Open the dividers to any convenient distance, more than 
 half the given line A B, and with one foot in A, describe an 
 arc above and below the line, as at C and D ; with the same 
 distance, and one foot in B, describe arcs to cross the former ; 
 lay a rule from C to D, and where the rule crosses the line, 
 as at E, will be the middle. 
 
 Fig. 24. 
 H 
 
 PROBLEM III. To erect a perpen- ^ 
 
 dicular from the end, or any part of a ..-"" 
 
 given line. Fig. 24. / 
 
GEOMETRY. 
 
 17 
 
 Open the dividers to any convenient distance, as from D 
 to A, and with one foot on the point D, from which the per- 
 pendicular is to be erected, describe an arc, as A E G ; set off 
 the same distance A D, from A to E, and from E to G ; upon 
 E and G describe two arcs to intersect each other at H ; 
 draw a Hne from H to D, and one line will be perpendicular 
 to the other. 
 
 NOTE. There are other methods of erecting 1 a perpendicu- 
 lar, but this is the most simple. 
 
 Fig. 25. 
 
 PROBLEM IV. From a given 
 point, as at C, to drop a perpendicular 
 on a given line A B, Fig. 25. 
 
 * Gr 
 
 With one foot of the dividers in C, describe an arc to cut 
 the given line in two places, as at F and G ; upon F and G 
 describe two arcs to intersect each other below the line, as 
 at D; lay a rule from C to D, and draw a line from C to the 
 given line. 
 
 Perpendiculars may be more readily raised and let fall, by 
 a small square made of brass, ivory, or wood. 
 
 Fig. 26. 
 
 PROBLEM V. To make an angle af, 
 equal to a given angle ABC, Fig. 26. " 
 
 Open the dividers to any convenient distance, and with 
 one foot in B, describe the arc F G ; with the same distance, 
 and one foot in E, describe an arc from H ; measure the arc 
 F G, and lay off the same distance on the arc from H to I ; 
 draw a line through I to E, and the angles will be equal. 
 
 Fig. 27. 
 
 PROBLEM VI. To make an acute an- 
 gle equal to a given number of degrees, sup- 
 pose 36. Fig. 27. 
 
18 GEOMETRY. 
 
 Draw the line A B of any convenient length ; from a scale 
 of chords take 60 degrees with the dividers, and with one 
 foot in B, describe an arc from the line A B 5 from the same 
 scale take the given number of degrees, 36, and lay it on the 
 arc from C to D; draw a line from B through D, and the 
 angle at B will be an angle of 36 degrees. 
 
 28. 
 
 PROBLEM VII. x To make an obtuse 
 angle, suppose of 110 degrees. Fig. 28. 
 
 B 
 
 Take a chord of 60 degrees as before, and describe an arc 
 greater than a quadrant ; set oft' 90 degrees from B to C, and 
 from C to E set off the excess above 90, which is 20 ; draw 
 a line from G through E, and the angle will contain 110 de- 
 grees. 
 
 [It is best, however, in making obtuse angles, to take from 
 the scale the chord of half the angle, and set it off twice. 
 This will save taking two separate chords.] 
 
 NOTE. In a similar manner angles may be measured ; that 
 is, with a chord of 60 degrees describe an arc on the 
 angular point, and on a scale of chords measure the arc 
 intercepted by the lines forming the angle. 
 
 A more convenient method of making and measuring an- 
 gles, is to use a protractor instead of a scale and dividers. 
 
 Fig. 29. 
 O 
 
 B 
 
 PROBLEM VIII. To make a trianglej, 
 of three given lines, as B O, B L, L O, Fig. 
 29, any two of which are, greater than the, 
 third. 
 
 Draw the line B L from B to L ; from B, with the length 
 of the line B O, describe an arc as at O ; from L, with the 
 length of the line L O, describe another arc, to intersect the 
 former ; from O draw the lines O B and O L, and B L will 
 be the triangle required. 
 
GEOMETRY. 19 
 
 Fig. 30. 
 
 PROBLEM IX. To make a right an- 
 gled triangle, the hypothenuse and angles 
 being given. Fig. 30. 
 
 Suppose the hypothenuse C A 25 rods or chains, the an- 
 gle at C 35 30', and consequently the angle at A 54 30'. 
 
 See note after the 38th Geometrical Definition. 
 
 NOTE. When degrees and minutes are expressed, they are 
 distinguished from each other by a small cipher at the 
 right hand of the degrees, and a dash at the right hand 
 of the minutes ; thus, 35 30', is 35 degrees and 30 mi- 
 nutes. 
 
 Draw the line C B an indefinite length ; at C make an angle 
 35 30'; through where that number of degrees cuts the arc, 
 draw the line C A 25 rods, which must be taken from some 
 scale of equal parts; drop a perpendicular from A to B, and 
 the triangle will be completed. 
 
 [A scale of equal parts may be found on one side of Gun- 
 ter's scale, occupying half its length. It will be known by 
 slanting lines which cross it at each end. The length of the 
 scale, not occupied by these oblique lines, is equally divided 
 into several larger divisions, numbered on one side, and like- 
 wise twice as many smaller, numbered on the other. In ta- 
 king distances from the scale, each of these divisions, (either 
 the larger or the smaller, as is most convenient,) must be 
 considered 1, 10, 100, &c. rods, chains, or other dimensions 
 of length. If each division be called 1, it will be easy to 
 take off the required number. But the scale is not usually 
 long enough for this. When each division is called 10, as 
 many divisions must be taken, as there are tens in the given 
 number. For the excess of tens, in this case, the little scale 
 with the oblique lines is used. Each side of this little scale 
 is divided into 10 equal parts, and each of these parts is, of 
 course, 1. Then to take off the hypothenuse, 25, above, we 
 should take in the dividers 2 of the divisions of the large 
 scale, and 5 of those of the small one. There is one of these 
 little scales for the greater, and one for the smaller divisions 
 of the large scale. When each division of the large scale 
 is called 100^ each of those of the small one becomes 10, and 
 the units are found by means of the oblique lines. These 
 
20 GEOMETRY. 
 
 are drawn across parallel lines, running the whole length of 
 the scale, from each division on one side, to the next higher 
 on the other. The parallel lines divide the width of the 
 scale into 10 equal parts. Since each oblique line, then, in 
 crossing the scale, passes over one division of length, it is 
 evident that, in passing one tenth across, (that is to the 
 first parallel line,) it will pass over one tenth of a -division of 
 length; in passing two tenths across, ( that is, to the second 
 parallel line,) it will pass over two tenths of a division of 
 length, and so on. The parallel lines are numbered at the 
 end of the scale. To take off a distance, containing hun- 
 dreds, then, as 234, we must place one foot of the dividers 
 on the second division of the larger scale, and on the paral- 
 lel line marked 4, and extend the other foot to the third ob- 
 lique line. Decimals may evidently be taken off in a simi- 
 lar manner ; the divisions of the larger scale being made 
 units, and those of the smaller, tenths and hundredths.} 
 
 NOTE. The length of the two legs may be found by mea- 
 suring them upon the same scale of equal parts from 
 which the hypothenuse was taken. 
 
 Kg. 31. 
 
 TJ 
 
 PROBLEM X To make a right 
 angled triangle, the angles and one 
 being given. Fig. 31. 
 
 285 
 
 Suppose the angle at C 33 15', and the leg A C 285. 
 
 Draw the leg A C, making it in length 285 ; at A erect a 
 perpendicular an indefinite length; at C make an angle of 
 33 15' ; through where that number of degrees cuts the arc, 
 draw a line till it meets the perpendicular at B. 
 
 NOTE. If the given line C A should not be so long as the 
 chord of 60, it may be continued beyond A, for the pur- 
 pose of making the angle. 
 
 Fig. 32. 
 
 PROBLEM XL To make a right an- 
 gled triangle, the hypothenuse and one leg 
 being given. Fig. 32. 
 
GEOMETRY. 
 
 Suppose the hypothenuse A C 40, and the leg- A B 28. 
 
 Draw the leg A B in length 28; from B erect a perpen- 
 dicular an indefinite length; take 40 in the dividers, and set- 
 ting one foot in A, wherever the other foot strikes the perpen- 
 dicular will be the point C. 
 
 NOTE. When the triangle is constructed, the angles may 
 be measured by a protractor, or by a scale of chords. 
 
 Fig. 33. 
 
 PROBLEM XII. To make a right 
 angled triangle, the two legs being given. 
 Fig. 33. 
 
 B 
 
 Suppose the leg A B 38, and the leg B C 46. 
 Draw the leg A B in length 38 ; from B erect a perpen- 
 dicular to C, in length 46 ; and draw a line from A to C. 
 
 Fig. 34. 
 
 PROBLEM XIII. To 
 
 make an oblique angled tri- 
 angle, the . angles and one 
 side being given. Fig. 34. 
 
 Suppose the side B C 98; the angle at B 45 15', the an- 
 gle at D 108 30', consequently the other angle 26 15'. 
 
 Draw the side B C in length 98 ; on the point B make 
 an angle of 45 15' ; on the point C make an angle of 26 
 1 5', and draw the lines B D and C D. 
 
 Fig. 35. 
 
 PROBLEM XIV. To make an ob- 
 lique angled triangle, two sides and an 
 angle opposite to one of them being given. 
 Fig. 35. B 
 
 Suppose the side B C 160, the side B D 79, and the angle 
 at C 29 9'. 
 
 3 
 
GEOMETRY. 
 
 Draw the side B C in length 160 ; at C make an angle of 
 29 9', and draw an indefinite line through where the degrees 
 cut the arc ; take 79 in the dividers, and with one foot in B 
 lay the other on the line CD; the point D will be the other 
 angle of the triangle. 
 
 Fig. 36. 
 
 PROBLEM XV. To make an 
 
 oblique angled triangle, two sides 
 and their contained angle being 
 given. Fig. 36. 
 
 Suppose the side B C 109, the side B D 76, and the angle 
 atB 101 30'. 
 
 Draw the side B C in length 109 ; at B make an angle of 
 101 30', and draw the side B D in length 76; draw a line 
 from D to C, and it is done. 
 
 Fig. 37. 
 
 PROBLEM XVI. 
 
 Fig. 37. 
 
 To make a square. 
 
 Draw the line A B the length of the proposed square ; 
 from B erect a perpendicular to C, and make it of the same 
 length as A B ; from A and C, with the same distance in the 
 dividers, describe arcs intersecting each other at D, and draw 
 the lines A D and D C. 
 
 Fig. 38. 
 D 
 
 PROBLEM XVII. 
 
 tangle. Fig. 38. 
 
 To make a rec- 
 
 Draw the line A B equal to the longest side of the rectan- 
 gle ; on B erect a perpendicular the length of the shortest side 
 to C ; from C, with the longest side, and from A, with the 
 shortest side, describe arcs intersecting each other at D, and 
 draw the lines A D and C D. 
 
GEOMETRY. 
 
 PROBLEM XVIII. To de- 
 scribe a circle which shall pass 
 through any three given points, 
 not lying in a right line, as A, 
 B, D. Fig. 39: 
 
 Draw lines from A to B, an.d from B to D ; bisect those 
 lines by PROBLEM II, and the point where the bisecting lines 
 intersect each other, as at C, will be the centre of the circle. 
 
 PROBLEM XIX. To find the centre of a circle. 
 
 By the last PROBLEM it is plain, that if three points be any 
 where taken in the given circle's periphery, the centre of the 
 circle may be found as there taught. 
 
 Directions for constructing irregular figures of four or 
 more sides, may be found in the following treatise on SUR- 
 VEYING, 
 
TRIGONOMETRY. 
 
 TRIGONOMETRY is that part of practical GEOMETRY, 
 by which the sides and angles of triangles . are measured ; 
 whereby three things being given, either all sides, or sides and 
 angles, a fourth may be found ; either by measuring with a 
 scale and dividers, according to the PROBLEMS IN GEOME- 
 TRY, or more accurately by calculation with logarithms, or 
 with natural sines. 
 
 TRIGONOMETRY is divided into two parts, rectangular and 
 oblique-angular. 
 
 PART I. 
 RECTANGULAR TRIGONOMETRY. 
 
 This is founded on the following methods of applying a 
 circle to a triangle. 
 
 Fig. 40. 
 
 PROPOSITION I. In every right 
 angled triangle, as A B C, Fig. 40, it 
 is plain from Fig. 7, compared with 
 the Geometrical definitions to which 
 that Figure refers, that if the hypothe- A, 
 nuse A C be made radius, and with it \ 
 an arc of a circle be described from each 
 end, B C will be the sine of the angle 
 at A, and A B the sine of the angle at 
 C; that is, the legs will be sines of 
 their opposite angles. 
 
 i. 
 
 PROPOSITION II. If one leg, A B, 
 Fig. 41, be made radius, and with it on 
 the point A an arc be described, then 
 B C, the other leg, will be the tangent, 
 and A C the secant of the angle at A ; 
 and if B C be made radius, and an arc 
 be described with it on the point C, then 
 A B will be the tangent, and A C the se- 
 cant of the angle at C ; that is, if one 
 
 Fig. 41. 
 
GEOMETRY. 25 
 
 leg be made radius, the other leg will be a tangent of its op- 
 posite angle, and the hypothenuse a secant of the same an- 
 gle. 
 
 Thus, as different sides are made radius, the other sides 
 acquire different names, \Vhich are either sines, tangents, or 
 secants. 
 
 As the sides and angles of triangles bear a certain propor- 
 tion to each other, two sides and one angle, or one side and 
 two angles being given, the other sides or angles may be 
 found by instituting proportions, according to the following 
 rules. 
 
 
 
 RULE I. To find a side, either of the sides may be made 
 radius, then institute the following proportion: 
 
 As THE NAME OF THE SIDE GIVEN, (which will be either 
 radius, sine, tangent, or secant;) 
 
 Is TO THE LENGTH OF THE SIDE GIVEN ; 
 
 So IS THE NAME OF THE SIDE REQUIRED, (which also will 
 
 be either radius, sine, tangent, or secant ;) 
 
 To THE LENGTH OF THE SIDE REQUIRED. 
 
 RULE II. To find an angle, one of the given sides must 
 be made radius, then institute the following proportion : 
 
 AS THE LENGTH OF THE GIVEN SIDE MADE RADIUS j 
 
 Is TO ITS NAME, (that is, radius ;) 
 
 So IS THE LENGTH OF THE OTHER GIVEN SIDE } 
 
 To ITS NAME, (which will be either sine, tangent, or se- 
 cant.) 
 
 Having instituted the proportion, look for the correspond- 
 ing logarithms, in the logarithms of numbers for the length 
 of the sides ; and in the table of artificial sines and tangents, 
 for the logarithmic sine, tangent, or secant. 
 
 ADD TOGETHER THE LOGARITHMS OF THE SECOND AND 
 THIRD TERMS, AND FROM THEIR SUM SUBSTRACT THE LOGA- 
 RITHM OF THE FIRST TERM .* THE REMAINDER WILL BE THE 
 LOGARITHM OF THE FOURTH TERM, WHICH SEEK IN THE TA- 
 BLES, AND FIND ITS CORRESPONDING NUMBER, OR DEGREES 
 AND MINUTES. 
 
 See the introduction to the table of logarithms ; which 
 should be attentively studied by the learner, before he pro- 
 ceeds any further. 
 
 NOTE. The logarithm for radius is always 10, which is 
 the logarithmic sine of 90, and the logarithmic tangent 
 of 45. 
 
26 GEOMETRT, 
 
 The preceding PROPOSITIONS and RULES being duly at- 
 tended to, .the solution of the following CASES of Rectangu- 
 lar Trigonometry will be easy.* 
 
 CASE I. 
 
 The angles and hypothenuse given, to 
 find the, legs. Fig. 42. 
 
 A- 
 
 In the triangle AB C, given the hypothenuse A C 25 rods 
 or chains; the angle at A 35 30': and consequently the 
 angle at C 54 30': (See Note, GEOM. Def. 38.) to find the 
 legs. 
 
 Making the hypothenuse radius, the proportions will be : 
 
 To find the leg A B. 
 
 As radius 10.000000 
 
 : hyp. AC, 25 - 1.397940 
 : : sine ACB, 54 30' 9.9 10686 
 
 11.308626 
 10.000000 
 
 To find the leg E C. 
 As radius - - - 10.000000 
 : hyp. AC, 25 - 1.397940 
 : : sineCAB, 3530' 9.763954 
 
 11.161894 
 10.000000 
 
 : leg AB, 20. 35 nearly 1.308626 :legBC, 14.52 nearly 1. 161894 
 
 NOTE. When the first term is radius, it may be substract- 
 ed by cancelling the first figure of the sum of the other 
 two terms. 
 
 As secants are excluded from the tables, such cases in 
 Trigonometry as are solved by secants are also excluded. 
 
 [The learner should exercise himself, in this and the fol- 
 lowing rules in TRIGONOMETRY, in stating all the propor- 
 tions which can be made, until he is able to do it with fa- 
 cility.] - 
 
 * See Practical Trigonometry in, the Appendix. 
 
TRIGONOMETRY. 27 
 
 BY NATURAL SINES. 
 
 This CASE may be solved by natural sines,* according to 
 the following proportions : 
 
 As UNITY, OR 1, IS TO THE LENGTH OF THE HYPOTHENUSE, 
 SO IS THE NATURAL SINE OF THE SMALLEST ANGLE, TO THE 
 LENGTH OF THE SHORTEST LEG. OR, SO IS THE NATURAL 
 SINE OF THE LARGEST ANGLE, TO THE LENGTH OF THE LONG- 
 EST LEG. 
 
 Or, which is the same thing, MULTIPLY THE NATURAL 
 
 SINES OF THE TWO ANGLES BY THE HYPOTHENUSE J THE 
 PRODUCTS WILL BE THE LENGTH OF THE TWO LEGS. 
 
 EXAMPLE. 
 
 Nat. sine of 35 30' Nat. sine of 54 30' 
 
 0.58070 0.81412 
 
 Hyp. 25 Hyp. 25 
 
 290350 407060 
 
 116140 162824 
 
 14.51750 20.35300 
 
 LegBC 14.52 Leg AB 20.35 
 
 NOTE. The third decimal figure in the first product be- 
 ing 7, the preceding figure may be called one more than 
 it is, viz. 2. And whenever in any product, &c. there 
 are more places of decimals than you wish to work 
 with, if the one at the right hand of the last which you 
 wish to retain is more than 5, add a unit to the last, be- 
 cause a greater decimal number than 5 is more than half. 
 
 CASE II. 
 
 The angles and one leg given, to find the 
 hypothenuse and the other leg. Fig. 43. 
 
 B 
 
 * See the Introduction to the Table of Natural Sines. 
 
28 TRIGONOMETRY. 
 
 In the triangle ABC, given the leg A B 325, the angle at 
 A 33 15', and the angle at C 56 45'; to find the hypothe- 
 nuseand the leg BC. 
 
 Making the hypothenuse radius, the proportions will be ; 
 
 To find the. hypothenuse. 
 As sine of C, 56 45' 9.922355 
 :leg AB, 325. 2.511883 
 
 To find the leg BC. 
 As sine of C, 56 45' 9.922355 
 : leg- AB, 325 2.511883 
 
 Radius 10.000000 : : Sine of A, 33 15' 9.739013 
 
 12.511883 
 9.922355 
 
 12.250896 
 9.922355 
 
 Hyp. 388.6 2.589528 : leg. B, C. 2131 2.328541 
 
 NOTE. If the leg B C had been given, instead of the leg 
 
 A B, the proportions would have been the same, the 
 
 obvious changes being made. 
 
 BY NATURAL SINES. 
 
 To solve this CASE by natural sines, institute the follow- 
 ing proportions : 
 
 To find the hypothenuse. As THE NATURAL SINE OF THE 
 
 ANGLE OPPOSITE THE GIVEN LEG, IS TO THE LENGTH OF THE 
 LEG, SO IS UNITY, OR 1, TO THE LENGTH OF THE HYPOTHE- 
 NUSE. 
 
 Or, which is the same thing, DIVIDE THE GIVEN LEG BY 
 
 THE NATURAL SINE OF ITS OPPOSITE ANGLE, AND THE QUO- 
 TIENT WILL BE THE HYPOTHENUSE. 
 
 To find the other leg. As THE NATURAL SINE OF THE AN- 
 GLE OPPOSITE THE GIVEN LEG, IS TO THE LENGTH OF THE 
 GJVEN LEG, SO IS THE NATURAL SINE OF THE ANGLE OPPO- 
 SITE THE OTHER LEG, TO THE LENGTH OF THE OTHER LEG. 
 
 EXAMPLE. 
 
 Given leg 325. Nat. sine of 56 45', the angle opposite 
 the given leg, 0.83629. Nat. sine of 33 15', the angle op- 
 posite the other leg, 0.54829. 
 
 As 0.83629 : 325 : : 1 : 388.6. 
 
 As 0.83629 : 325 :: 0.54829 : 213.07. 
 
TRIGONOMETRY. 29 
 
 CASE III. 
 
 The hypothenuse and one leg given, to 
 find the angles and the other leg. Fig. 44. 
 
 In the triangle A C B, given the hypothenuse A C 50, and 
 the leg A B 40, to find the angles and leg B C. 
 
 Making the hypothenuse radius, the proportion to find the 
 angle A C B will be : 
 
 As hyp. 50 
 : radius 
 : : leg A B 40 - 
 
 1.698970 
 10.000000 
 1.602060 
 
 11.602060 
 1.698970 
 
 : sine A C B, 53 8' 9.903090 
 
 The angle A C B being 53 8', the other is consequently 
 36 52'. 
 
 The angles being found, the leg B C may be found by 
 either of the preceding CASES. It is 30. 
 
 BY NATURAL SINES. 
 
 The angle opposite the given leg, may be found by the fol- 
 lowing proportion : 
 
 As THE HYPOTHENUSE IS TO UNITY, OR 1, SO IS THE GIVEN 
 LEO TO THE NAT. SINE OF ITS OPPOSITE ANGLE. 
 
 Or, which is the same thing, DIVIDE THE GIVEN LEG BY THE 
 
 HYPOTHENUSE, AND THE QUOTIENT WILL BE THE NAT. SINE. 
 EXAMPLE. 
 
 The leg A B 40, divided by the hypothenuse 50, gives a 
 
30 TRIGONOMETRY. 
 
 quotient 0.80000 ; which, looking in the table of nat. sines, 
 the nearest corresponding number of degrees and minutes will 
 be found to be 53 8', the angle A C B. 
 
 BY THE SQUARE ROOT. 
 
 In this CASE the required leg may be found by the square 
 root, without finding the angles ; according to the following 
 PROPOSITION : 
 
 IN EVERY RIGHT ANGLED TRIANGLE, THE SQUARE OF THE 
 HYPOTHENUSE IS EQUAL TO THE SUM OF THE SQUARES OF 
 THE TWO LEGS. Hence, 
 
 THE SQUARE OF THE GIVEN LEG BEING SUBSTRACTED 
 FROM THE SQUARE OF THE HYPOTHENUSE, THE REMAINDER 
 WILL BE THE SQUARE OF THE REQUIRED LEG. 
 
 As in the preceding EXAMPLE; the square of the leg A B 
 40 is 1600 ; this substracted from the square of the hypothe- 
 nuse 50, which is 2500, leaves 900, the square of the legBC, 
 the square root of which is 30, the length of leg B C, as found 
 by logarithms. 
 
 CASE IV. 
 
 The legs given, to find the angles and 
 hypothenuse. Fig. 45. 
 
 73.7 
 
 In the triangle A B C, given the leg A B 78.7, and the leg 
 B C 89 ; to find the angles and hypothenuse. 
 
 Making the leg A B radius, the proportion to find the angle 
 BAG will be, 
 
TRIGONOMETRY. 31 
 
 As leg A B, 78.7 - 1.895975 
 : radius - 10.000000 
 
 : : leg B C, 89 - 1.949390 
 
 11.949390 
 
 1.895975 
 
 : tariff. BAG, 48 31' 10.053415 
 
 The angle A C B is consequently 41 29'. 
 
 Making the leg B C radius, the proportion to find the angle 
 B C A will be similar, with the obvious differences. 
 
 The angles being found, the hypothenuse may be found by 
 CASE II. It is nearest 1 19. 
 
 BY THE SQUARE ROOT 
 
 In this case, the hypothenuse may be found by the square 
 root, without finding the angles ; according to the following 
 
 PROPOSITION. 
 
 IN EVERY RIGHT ANGLED TRIANGLE, THE SUM OF THE 
 SQUARES OF THE TWO LEGS IS EQUAL TO THE SQUARE OF 
 THE HYPOTHENUSE. 
 
 In the above EXAMPLE, the square of A B 78.7 is 6193.69, 
 the square of B C 89 is 7921 ; these added make 14114.69, 
 the square root of which is nearest 1 19. 
 
 BY NATURAL SINES. 
 
 The hypothenuse being found by the square root, the angles 
 may be found by nat. sines, according to the preceding CASE. 
 
32 TRIGONOMETRY. 
 
 Hyp. Leg B C. Nat. Sine. 
 
 119) 89.00000 (74789 
 83.3 
 
 570 The nearest degrees and minutes 
 
 476 corresponding to the above nat. sine, 
 
 are 48 24', for the angle BAG. The 
 
 940 difference between this and the angle, 
 
 833 as found by logarithms, is occasioned 
 
 by dividing by 119, which is not the 
 
 1070 exact length of the hypothenuso it 
 
 952 being a fraction too much. 
 
 1180 
 1071 
 
 109 
 
 BY NATURAL TANGENTS. 
 
 Leg A B. Rad. B. C. 
 
 78,7 : 1 : : 89.0 
 89.0 
 
 Nat. Tang. 
 
 78.7) 89.0 (: 1.13087=48 31' 
 
 787 
 
 1030 
 
 787 
 
 2430 
 2361 
 
 6900 
 6296 
 
 6040 
 5509 
 
TRIGONOMETRY. 
 
 33 
 
 PART II. 
 
 OBLIQUE TRIGONOMETRY. 
 
 The solution of the first two CASES of Oblique Trigonom- 
 etry depends on the following- PROPOSITION. 
 
 IN ALL PLANE TRIANGLES, THE SIDES ARE IN PROPORTION 
 TO EACH OTHER, AS THE SINES OF THEIR OPPOSITE ANGLES. 
 
 THAT is, AS THE SINE OF ONE ANGLE is TO ITS OPPOSITE 
 
 SIDE, SO IS THE SINE OF ANOTHER ANGLE TO ITS OPPOSITE 
 SIDE. OR, AS ONE SIDE IS TO THE SINE OF ITS OPPOSITE 
 ANGLE, SO IS ANOTHER SIDE TO THE SINE OF ITS OPPOSITE 
 ANGLE. 
 
 NOTE. When an angle exceeds 90, make use of its sup- 
 plement, which is what it wants of 180. Note, Def. 
 25. GEOM. 
 
 CASE I. 
 
 The angles and one side given, to find the 
 other sides. Fig- 46. 
 
 Fig. 46. 
 C 
 
 B 
 
 In the triangle ABC, given the angle at B 48, the angle 
 at C 72, consequently the angle at A 60, and the side A B 
 200, to find the sides A C and B C. 
 
 To find the side AC. 
 As sine A C B, 72 9.978206 
 : side AB, 200 - 2.301030 
 : : sine ABC, 48 -9.871073 
 
 12.172103 
 9.978206 
 
 side AC, 156 - 2.193897 
 
 To find the side B C. 
 As sine A C B, 72 - 9.978206 
 :side AB, 200 - 2.301030 
 : : sineB AC, 60 -9.937531 
 
 12.328561 
 9.978206 
 
 : sideB C, 182 - 2.260355 
 
34 
 
 TRIGONOMETRY. 
 
 BY NATURAL SINES. 
 
 AS THE NAT. SINE OF THE ANGLE OPPOSITE THE GIVEN 
 SIDE IS TO THE GIVEN SIDE, SO IS THE NAT. SINE OF THE AN- 
 GLE OPPOSITE EITHER OF THE REQUIRED SIDES TO THAT 
 REQUIRED SIDE. 
 
 Given side 200 ; nat. sine of 72, its opposite angle, 0.951 15 ; 
 nat. sine of ABC 48, 0.74314; nat. sine of B A C 601 
 0.86617. Thus, 
 
 0.95115 : 200 : : 0.74314 : 156. 
 
 0.95115 : 200 : : 0.86617 : 182, 
 
 CASE II. 
 
 Two sides, and an angle opposite to one 
 of them given, to find the other angles and 
 side. Fig. 47. 
 
 In the triangle ABC, given the side A B 240, the side B *G 
 200, and the angle at A 46 30' ; to find the other angles and 
 the side A C. 
 
 To find the angle A C B. 
 As sideB C, 200 - 2.301030 
 : sine B AC, 46 30' 9.860562 
 : : side AB, 240 - 2.380211 
 
 12.240773 
 2.301030 
 
 :sineACB,6030' nearly9.939743 
 
 Angle at A 
 C 
 
 46 30' 
 60 30 
 
 107.00 
 
 Sum of the three angles 180 
 
 Sum of two 
 Angle at B 
 
 107 
 73 
 
 The side A C will be found by CASE I. to be nearest 253. 
 
 NOTE. If the given angle be obtuse, the angle sought 
 will be acute ; but if the given angle be acute, and op- 
 posite a given lesser side, then the angle found by the 
 operation may be either obtuse or acute. It ought 
 therefore to be mentioned which it is, by the conditions 
 of the question. 
 
TRIGONOMETRY. 35 
 
 BY NATURAL SINES. 
 
 As THE SIDE OPPOSITE THE GIVEN ANGLE IS TO THE NAT. 
 SINE OF THAT ANGLE, SO IS THE OTHER GIVEN SIDE TO THE 
 NAT. SINE OF ITS OPPOSITE ANGLE. 
 
 One given side 200, nat. sine of 46 30', its opposite an- 
 gle, 0.72537, the other given side 240. 
 
 As 200 : 0.72537 : : 240 : 0.87044=60 30'. 
 
 CASE III. 
 
 Two sides and their contained angle 
 given, to find the other angles and side. 
 Fig. 48. 
 
 The solution of this CASE depends on the following PROP- 
 OSITION. 
 
 IN EVERY PLANE TRIANGLE, AS THE SUM OF ANY TWO 
 SIDES ISTO THEIR DIFFERENCE, SOIS THE TANGENT OF HALF 
 THE SUM OF THE TWO OPPOSITE ANGLES TO THE TANGENT 
 OF HALF THE DIFFERENCE BETWEEN THEM. 
 
 ADD THIS HALF DIFFERENCE TO HALF THE SUM OF THE 
 ANGLES, AND YOU WILL HAVE THE GREATER ANGLE, AND 
 SUBSTRACT THE HALF DIFFERENCE FROM THE HALF SUM, 
 AND YOU WILL HAVE THE LESSER ANGLE. 
 
 In the triangle ABC, given the side A B 240, the side A C 
 180, and the angle at A 36 40', to find the other angles and 
 side. 
 
 Side A B - 240 A B - 240 
 
 A C - 180 AC - 180 
 
 Sum of the two sides 420 Difference 60 
 
 The given angle BAG 36 40', substracted from 180, leaves 
 143 20', the sum of the other two angles, the half of which 
 is 71 40'. 
 
TRIGONOMETRY. 
 
 As the sum of two sides, 420 
 : their difference 60 - 
 : : tangent half unknown ang. 71 40' 
 
 : tangent half difference, 23 20' nearly 
 
 The half sum of the two unknown angles, 
 The half difference between them, 
 
 Add, gives the greater angle A C B 
 Substract, gives the lesser angle ABC 
 
 The side B C may be found by CASE I. or II. 
 
 2.623249 
 
 1.778151 
 
 10.479695 
 
 12.257846 
 2.623249 
 
 9.634597 
 
 71 40' 
 23 20 
 
 95 00 
 
 48 23 
 
 CASE IV. 
 
 The three sides given, to find the 
 Fig. 49. 
 
 A 105 B B 
 
 The solution of this CASE depends on the following PROP- 
 OSITION. 
 
 IN EVERY PLANE TRIANGLE, AS THE LONGEST SIDE IS TO 
 
 THE SUM OF THE OTHER TWO SIDES, SO IS THE DIFFERENCE 
 BETWEEN THOSE TWO SIDES TO THE DIFFERENCE BETWEEN 
 THE SEGMENTS OF THE LONGEST SIDE, MADE BY A PERPEN- 
 DICULAR LET FALL FROM THE ANGLE OPPOSITE THAT SIDE 
 
 Half the difference between these segments, added to half 
 the sum of the segments, that is, to half the length of the 
 longest side, will give the greatest segment ; and this half 
 difference substracted from the half sum will be the lesser 
 segment. The triangle being thus divided, becomes two 
 right angled triangles, in which the hypothenuse and one leg 
 are given to find the angles. 
 
TRIGONOMETRY. 
 
 37 
 
 In the triangle ABC, given the side A B 105, the side A G 
 85, and the side B C 50, to find the angles. 
 
 Side A C - 85 AC 85 
 
 B C - 50 B C 50 
 
 Sum of the two sides 135 
 
 As the longest side A B, 105 
 : sum of the other two sides, 135 
 : : difference between those sides, 35 
 
 : difference between the segments, 45 
 
 Half the side A B 
 
 Half the difference of the segments 
 
 Add, gives the greater segment A D 
 
 Difference 35 
 
 2.021189 
 2.130334 
 1.544068 
 
 3.674402 
 2.021189 
 
 1.653213 
 
 - 52.5 
 
 - 22.5 
 
 - 75.0 
 
 Substract, gives the lesser segment B D 30.0 
 
 Thus the triangle is divided into two right angled trian- 
 gles, ADC and B D C ; in each of which the hypothenuse 
 and one leg are given to find the angles. 
 
 To find the angle D C A. 
 
 As hyp. A C, 85 
 
 : radius 
 
 : : seg. A D, 75 
 
 1.929419 
 
 10.000000 
 
 1.875061 
 
 11.875061 
 1.929419 
 
 : sine DC A, 61 56' 9.945642 
 
 To find the angle D C B. 
 As hyp. BC, 50 - 1.698970 
 : radius - - 10.000000 
 ::seg. B D, 30 - 1.477121 
 
 11.477121 
 1.698970 
 
 : sine DCB, 36 52' 9.778151 
 
 The angle D C A 61 56', substracted from 90, leaves the 
 angle C A D 28 4'. 
 
 The angle D C B 36 52', substracted from 90, leaves the 
 angle CBD53 16'. 
 
 The angle D C A 6 1 56', added to the angle D C B 36 52', 
 gives the angle A C B 98 48'. 
 
 This CASE may also be solved according to the following 
 PROPOSITION. 
 
 IN EVERY PLANE TRIANGLE, AS THE PRODUCT OF ANY TWO 
 SIDES CONTAINING A REQUIRED ANGLE IS TO THE PRODUCT 
 4* 
 
38 TRIGONOMETRY. 
 
 OF HALF THE SUM OF THE THREE SIDES, AND THE DIFFER- 
 ENCE BETWEEN THAT HALF SUM AND THE SIDE OPPOSITE 
 THE ANGLE REQUIRED, SO IS THE SQUARE OF RADIUS TO THE 
 SQUARE OF THE CO-SINE OF HALF THE ANGLE REQUIRED. 
 
 Those who make themselves well acquainted with TRIGO- 
 NOMETRY, will find its application easy to many useful purpo- 
 ses, particularly to the mensuration of heights and distances. 
 These are here omitted, because as this work. is designed prin- 
 cipally to teach the art of common FIELD-SURVEYING, it was 
 thought improper to swell its size, and consequently in- 
 crease its price, by inserting any thing not particularly con- 
 nected with that art. 
 
 It is recommended to those who design to be surveyors, to 
 study TRIGONOMETRY thoroughly ; for though a common field 
 may be measured without an acquaintance with that science, 
 yet many cases will occur in practice, where a knowledge of 
 it will be found very beneficial ; particularly in dividing 
 land, and ascertaining the boundaries of old surveys. In- 
 deed no one who is ignorant of TRIGONOMETRY, can be an 
 accomplished surveyor. 
 
SURVEYING. 
 
 SURVEYING is the art of measuring, laying out, and di- 
 viding land. 
 
 PART I. 
 
 MEASURING LAND. 
 
 The most common measure for land is the acre ; which 
 contains 160 square rods, poles, or perches; or 4 square 
 roods, each containing 40 square rods. 
 
 The instrument most in use, for measuring the sides of 
 fields, is GUNTER'S chain, which is in length 4 rods, or 66 
 feet; and is divided into 100 equal parts, called links, each 
 containing 7 inches and 92 hundredths. Consequently, 1 
 square chain contains 16 square rods, and ten square chains 
 make 1 acre. 
 
 In small fields, or where the land is uneven, as is the case 
 with a great part of the land in New England, it is better to 
 use a chain of only two rods in length, as the survey can 
 be more accurately taken.* 
 
 SECTION I. 
 PRELIMINARY PROBLEMS. 
 
 PROBLEM I. To reduce two rod chains to four rod 
 chains. 
 
 RULE. If the number of two rod chains be even, take 
 half the number for four rod chains, and annex the links, if 
 any; thus, 16 two rod chains and 37 links, make 8 four rod 
 chains and 37 links. 
 
 But if the number of chains be odd, take half the greatest 
 even number for chains, and for the remaining number add 
 50 to the link : Thus, 17 two rod chains and 42 links makes 
 8 four rod chains and 92 links. 
 
 PROBLEM II. To reduce two rod chains to rods and de- 
 cimal parts. 
 
 * As there is no standard of long measure established by the General 
 Government, the standard yard, which is kept in the State Treasurer's 
 office, is adopted as a standard of long measure for Connecticut. 
 Each chain 6f 2 rods, should be 11, and each of 4 rods, 22 yards, in 
 length. 
 
40 SURVEYING. 
 
 RULE. Multiply the chains by 2, and the links by 4, 
 which will give hundredths of a rod; thus, 17 two rod chains 
 and 21 links, make 34 rods and 84 hundredths ; expressed 
 thus, 34.84 rods. 
 
 If the links exceed 25, add one to the number of rods, and 
 multiply the excess by 4: thus, 15 two rod chains and 38 
 links make 31.52 rods. 
 
 PROBLEM III. To reduce four rod chains to rods and 
 decimal parts. 
 
 RULE. Multiply the chains, or chains and links, by 4 ; 
 the product will be rods and hundredths : thus, 8 chains and 
 64 links, make 34.56 rods. 
 
 NOTE. The reverse of this rule, that is, dividing by 4, will reduce 
 rods and decimals to chains and links: thus, 105.12 rods, make 26 
 chains and 28 links. 
 
 PROBLEM IV. To reduce square rods to acres. 
 
 RULE. Divide the rods by 160, and the remainder by 40, 
 if it exceeds that number, for roods or quarters of an acre : 
 thus 746 square rods make 4 acres, 2 roods, and 26 rods. 
 
 PROBLEM V. To reduce square chains to acres. 
 
 RULE. Divide by 10; or, which is the same thing-, cut 
 off the right hand figure : thus, 1460 square chains make 
 146 acres; and 846 square chains make 84 acres and 6 
 tenths. 
 
 PROBLEM VI. To reduce square links to acres. 
 
 RULE. Divide by 100000; or, which is the same thing, 
 cutoff the 5 right hand figures : thus, 3845120 square links 
 make 38 acres and 45120 decimals. 
 
 NOTE. When the area of a field, by which is meant its superficial 
 contents, is expressed in square chains and links, the whole may 
 be considered as square links, and the number of acres contained 
 in the field, found as above. Then multiply the figures cut off by 
 4, and again cut off 5 figures, and you have the roods ; multiply the 
 figures last cut off by 40, and again cut off 5 figures, and you have 
 the rods. 
 
 EXAMPLE. How many acres, roods, and rods, are there in 156 
 square chains and 3274 square links 1 
 
 15)63274 square links. 
 4 
 
 2)53096 
 40 
 
 21)23840 
 Answer. 15 acres 2 roods and 21 rods. 
 
 PROBLEMS for finding the area of right lined figures, and 
 also of circles. 
 
SURVEYING. 41 
 
 PROBLEM VII. To find the area of a square or rectan- 
 gle. 
 
 RULE. Multiply the length into the breadth ; the product 
 will be the area. 
 
 PROBLEM VIII. To find the area of a rhombus or 
 rhomboid. 
 
 RULE. Drop a perpendicular from one of the angles to 
 its opposite side, and multiply that side into the perpendicu- 
 lar; the product will be the area. 
 
 PROBLEM IX. To find the area of a triangle. 
 
 RULE 1. Drop a perpendicular from one of the angles to 
 its opposite side, which maybe called the base; then mul- 
 tiply the base by half the perpendicular, or the perpendicu- 
 lar by half the base ; the product will be the area. Or, mul- 
 tiply the whole base by the whole perpendicular, and half 
 the product will be the area. 
 
 RULE 2. If it be a right angled triangle, multiply one of 
 the legs into half the other ; the product will be the area. 
 Or, multiply the two legs into each other, and half the 
 product will be the area. 
 
 RULE 3, When the three sides of a triangle are known r 
 the area may be found arithmetically, as follows : 
 
 Add together the three sides ; from half their sum substract 
 each side, noting down the remainders; multiply the half 
 sum by one of those remainders, and that product by another 
 remainder, and that product by the other remainder; the 
 square root of the last product will be the area.* 
 
 EXAMPLE. Suppose a triangle whose three sides are 24, 
 20, and 18 chains. Demanded the area. 
 
 24+204-18=62, the sum of the three sides, the half of 
 which is 31. From 31 substract 24, 20, and 18; the three 
 remainders will be 7, 11, and 13. 
 
 31X7=217; 217x11=2387; 2387X1 3= 3 1031, the square 
 root of which is 176.1, or 17 acres, 2 roods, and 17 rods. 
 
 BY LOGARITHMS. 
 
 As the addition of logarithms is the same as the multipli- 
 cation of their corresponding numbers ; and as the number 
 answering to one half of a logarithm will be the square root 
 of the number corresponding to that logarithm : it follows, 
 that if the logarithm of the half sum of the three sides, and 
 
 * Better expressed thus. From half the sum of the sides substract 
 each side separately. Multiply the half sum and the several re- 
 mainders together, and the square root of the product will be the 
 area. ED. 
 
42 SURVEYING. 
 
 the logarithms of the three remainders, be added together, 
 the number corresponding to one half the sum of those loga- 
 rithms will be the area of the triangle. 
 
 The half sum, 31 1.491362 
 
 The first remainder, 7 - 0.845098 
 
 The second remainder, 1 1 1.041393 
 
 The third remainder, 13 1.11 3943 
 
 The square of the area, 31030.083 nearly 4.491796 
 Area, 176 square chains 150 square links 2.245898 
 
 RULE 4. When two sides of a triangle, and their contained 
 angle, that is, the angle made by those sides, are given, the 
 area may be found as follows : 
 
 Add together the logarithms of the two sides, and the loga- 
 rithmic sine of the angle ; from their sum substract the lo- 
 garithm of radius, the remainder will be the logarithm of 
 double the area. 
 
 EXAMPLE. Suppose a triangle, one of whose sides is 105 
 rods, and another 85, and the angle contained between them 
 28 5'. Demanded the area. 
 
 One side, 105 - 2.021189 
 
 The other side, 85 - - 1.929419 
 
 Sine angle, 28 5' - 9.672795 
 
 13.623403 
 Substract radius - - 10.000000 
 
 Double area, 4200 rods nearly 3.623403 
 
 Answer, 2 100 rods. 
 
 NOTE. Radius may be subtracted by cancelling the left hand figure 
 of the index, or substracting 10, without the trouble of setting down 
 the ciphers. 
 
 BY NATURAL SINES. 
 
 Multiply the two given sides into each other, and that pro- 
 duct by the natural sine of the given angle ; the last product 
 will be double the area of the triangle. 
 
 Nat. sine of the angle 28 5', 0.47076. 
 
 105X85=8925, and 8925X0.47076=4201, the double area 
 of the triangle. 
 
 PROBLEM X. To find the area of a trapezoid. 
 
SURVEYING. 43 
 
 RULE. Multiply half the sum of the two parallel sides 
 by the perpendicular distance between them, or the sum of 
 the two parallel sides by half the perpendicular distance, the 
 product will be the area. 
 
 PROBLEM XI. To find the area of a trapezium, or ir- 
 regular four sided figure. 
 
 RULE. Draw a diagonal between two opposite angles, 
 which will divide the trapezium into two triangles. Find 
 the area of each triangle, and add them together. Or, multi- 
 ply the diagonal by half the sum of the two perpendiculars 
 let fall upon it, or the sum of the two perpendiculars by half 
 the diagonal, the product will be the area. 
 
 NOTE. Where the length of the four sides and of the diagonal is 
 known, the area of the two triangles, into which the trapezium is 
 divided, may be calculated arithmetically, according to PROS. IX. 
 Rule 3. 
 
 PROBLEM XII. To find the area of a figure containing 
 more than four sides. 
 
 RULE. Divide the figure into triangles, and trapezia, by 
 drawing as many diagonals as are necessary, which diago- 
 nals must be so drawn as not to intersect each other ; then 
 find the area of each of the several triangles or trapezia, and 
 add them together ; the sum will be the area of the whole 
 figure. 
 
 NOTE. A little practice will suggest the most convenient way of 
 drawing the diagonals, but whichever way they are drawn, pro- 
 vided they do not intersect each other, the whole area will be 
 found the same. 
 
 PROBLEM XIII. Respecting circles. 
 
 RULE 1. If the diameter be given, the circumference may 
 be found <foy one of the following proportions : as 7 is to 22, 
 or more exactly, as 113 is to 355, or in decimals, as I is to 
 3.14159, so is the diameter to the circumference. 
 
 RULE 2. If the circumference be given, the diameter may 
 be found by one of the following proportions : as 22 is to 7, 
 or as 355 is to 113, or as 1 is to 0,31831, so is the circum- 
 ference to the diameter. 
 
 RULE 3. The diameter and circumference being known, 
 multiply half the one into half the other, and the product 
 will be the area. 
 
 RULE 4. From the diameter only, to find the area : mul- 
 tiply the square of the diameter by 0.7854, and the product 
 will be the area. 
 
 RULE 5, From the circumference only to find the area : 
 
44 SURVEYING. 
 
 multiply the square of the circumference by 0.07958, and the 
 product will be the area. 
 
 RULE 6. The area being given, to find the diameter : di- 
 vide the area by 0.7854, and the quotient will be the square 
 of the diameter ; from this extract the square root, and you 
 will have the diameter. 
 
 RULE 7. The area being given, to find the circumference : 
 divide the area by 0.07958, and the quotient will be the 
 square of the circumference ; from this extract the square root, 
 and you will have the circumference. 
 
 To find the area of an Ellipse or an Ellipsis 
 
 RULE. Multiply the product of the two diameters by 
 0.7854, and point off from the product as many figures at the 
 right hand as there are decimals in both factors, and those 
 at the left will be the area of the figure. 
 
 EXAMPLE. What is the area of an ellipse, of which the 
 longest diameter is 65 rods and 10 links, and the shortest is 
 
 45 rods and 10 links. 
 
 Longest diameter, 65.4 
 Shortest diameter, 45.4 
 
 2616 
 3270 
 2616 
 
 2969.16 
 
 .7854 
 
 1187664 
 1484580 
 2375328 
 2078412 
 
 2331.978264 
 1 
 
 160)2332(14 
 160 
 
 732 
 740 
 
 92 
 A. Q.R. 
 
 Answer, 14 2 12 
 
SURVEYING. 45 
 
 SECTION II. 
 
 The following CASES teach the most usual methods of 
 taking the survey of fields ; also, how to protract or draw a 
 plot of them, and to calculate their area. 
 
 NOTE. The field book is a register containing the length of the sides of 
 a field, as found by measuring them with a chain ; also, the bear- 
 ings, or courses of the sides, or the quantity of the several angles, 
 as found by a compass or other instrument for that purpose ; 
 together with such remarks as the surveyor thinks proper to make 
 in the field. 
 
 CASE I. 
 
 TO SURVEY A TRIANGULAR FIELD. 
 
 Measure the sides of a field with a chain, and enter their 
 several lengths in a FIELD-BOOK ; protract the field on paper, 
 and then find the area by PROB. IX. Rule 1. Or, without 
 plotting the field, calculate the area by PROS. IX. Rule 3. 
 
 Fig. 50. 
 FIELD BOOK. See Fig. 50. c 
 
 Chains. 
 
 AB - 20 
 
 BC - - 24 .. 
 
 CA - . 18 ** D 
 
 To find the area,. 
 Ch. L. 
 
 BaseBC - - 24.00 
 Half perp. A D . 7.34 
 
 VOCh. 
 
 9600 
 7200 
 16800 
 
 Acres 17)61600 
 4 
 
 Roods 2)46400 
 40 
 
 Rods 18)56000 
 
 Acres Roods Rods 
 Area 17218.56 
 5 
 
46 SURVEYING. 
 
 NOTE. When there are ciphers at the right hand of the links, they 
 may be rejected ; remembering to cut off a proper number of 
 figures according to decimal rules. 
 
 Observe, That in measuring with a chain, slant or inclined 
 surfaces, as the sides of hills, should be measured horizon- 
 tally, and not on the plane or surface of the hill; otherwise, 
 a survey cannot be accurately taken. To effect this, the 
 lower end of the chain must be raised from the ground, so 
 as to have the whole in a horizontal line; and the end thus 
 raised must be directly over the point where the chain be- 
 gins or ends, according as you are ascending or descending 
 a hill ; which point may be ascertained by a plummet and line. 
 
 CASE II. 
 TO SURVEY A FIELD IN THE FORM OF A TRAPEZIUM. 
 
 Measure the several sides, and a diagonal between two op- 
 posite angles ; protract the field, and find the area by PROB- 
 LEM XL Or, without protracting the field, calculate the 
 area according to the note at the end of that PROBLEM. 
 
 Fig. 51. 
 FIELD-BOOK. See Fig. 51. 
 
 Ch. L. 
 
 AB - 27.50 
 BC - 11.70 
 CD - 21.50 
 DA - 14.70 
 Diag. AC - 28. 
 
 TO PROTRACT THIS TRAPEZIUM. 
 
 Draw the side A B, the given length ; with the diagonal 
 A C 28, and the side B C 11.70, describe cross arcs as at C, 
 from A and B as centres; and the point of intersection will 
 represent that corner of the field : then, with the side C D 
 21.50, and the side A D 14.70, describe cross arcs as at D, from 
 A and C as centres ; and the point of intersection will repre- 
 sent that corner of the field. 
 
SURVEYING. 
 
 TO FIND THE AREA. 
 
 Perpendicular B a - - 11.34 
 
 Dm 11.10 
 
 22.44 
 Half diagonal A C 14.00 
 
 897600 
 2244 
 
 Acres 31)416 
 4 
 
 Rood 1)664 
 40 
 
 Rods 26)560 
 Acres Rood Rods 
 'Area 31 126.56 
 
 NOTE. The perpendiculars need not be actually drawn ; their length 
 may be obtained as follows : from the angle opposite the diagoaal 
 open the dividers so as when one foot is in the angular point, as 
 at B, the other, being moved backwards and forwards, may just 
 touch the diagonal at A, and neither go the least above or below 
 it; that distance in the dividers being measured on the scale, will 
 give the length of the perpendicular. 
 
 CASE III. 
 
 TO SURVEY A FIELD WHICH HAS MORE THAN FOUR SIDES, 
 BY THE CHAIN ONLY. 
 
 Measure the several sides, and from some one of the angles 
 from which the others may be seen, measure diagonals to 
 them ; draw a plot of the field, and find the area bv PROB- 
 LEM XII. 
 
FIELD-BOOK. See Fig. 52 
 
 56? tf 
 
 Ch.L, 
 
 AB - 30.60 Diagonals. 
 
 B C - - 20.40 - - - Ch. L 
 
 CD - - 22.40 AC - - 45. 
 
 DE - - 16.20 AD- - - 35. 
 
 EF - - 13.50 AE - - - 24.20 
 
 FA - - 28. 
 
 TO PROTRACT THIS FIELD. 
 
 Draw the side AB, making it the given length 30.60; 
 with the diagonal A C 45, and the side B C 20.40, describe 
 cross arcs as at C, from the points A and B as centres, and 
 the point of intersection will represent that corner of the 
 field ; draw the side B C, and the dotted diagonal A C ; with 
 the diagonal A D 35, and the side C D 22.40, describe cross 
 arcs as at D, from the points A and C, and draw the side C D, 
 and the dotted diagonal A D. Proceed in this manner till- 
 all the sides and diagonals are drawn. 
 
 TO FIND THE AREA. 
 
 The field heing plotted, may he divided into one trapezium 
 and two triangles ; the area of which is calculated as fol- 
 lows : 
 
SURVEYING. 
 
 49 
 
 The trapezium 
 Perpend. B a 
 Do 
 
 Halfdiag. AC 
 
 Square chains 
 
 The triangle 
 Perpend. E n 
 Half side A F 
 
 ABCD. 
 
 11.68 
 17.10 
 
 The triangle 
 Half perp. E m 
 Diag. A D - 
 
 ADE. 
 4.90 
 35 
 
 27.78 
 22.50 
 
 143900 
 5756 
 5756 
 
 2450 
 1470 
 
 Square chains 171.50 
 
 Trap. ABCD - 647.55 
 Triangle A DE - 171.50 
 Triangle AFE - 163.10 
 
 Acres 98)215 
 4 
 
 Roods .860 
 40 
 
 Rods 34)400 
 
 - 647.5500 
 
 AFE. 
 11.65 
 14 
 
 4660 
 1165 
 
 Square chains 163.10 
 
 Acres Roods Rods 
 Area 98034.4 
 
 REMARKS. 
 
 As each of the sides of the several triangles, into which the 
 preceding plot of a field is divided, is known from the field- 
 book, the area of the field may be calculated arithmetically, 
 by finding the area of each triangle, according to PROS. IX. 
 Rule 3 ; and then adding the whole together. This method, 
 though it may require more time, is preferable to the other, 
 because more accurate. Indeed it is always better to calcu- 
 late the area of a field arithmetically than geometrically, 
 for in the former no two persons can differ in their calcula- 
 tions; whereas, according to the latter, which is the com- 
 mon method of casting the contents of a field, it is hardly to 
 be expected that any two persons will perfectly agree. The 
 inaccuracy of scales, and the difficulty of determining with 
 precision the length of sides and perpendiculars with a scale 
 and dividers, render it almost if not quite impossible to ob- 
 tain the exact area of a field, in the method commonly prac- 
 tised, even if the surveyor has measured it accurately in thd 
 first place. 
 
 5* 
 
50 SURVEYING. 
 
 Other methods of taking the survey of a field by the chain 
 only, are mentioned in some treatises on this subject, but they 
 are rather curious than useful ; and it is much better to as- 
 certain the angles by an accurate compass, or some instru- 
 ment designed purposely for taking angles. 
 
 CASE IV. 
 TO SURVEY A FIELD WITH A CHAIN AND COMPASS. 
 
 Measure the length of the sides with a chain, and take 
 their bearing or course with a compass;* enter these in a 
 field-book ; plot the field on paper, and calculate the area by 
 the directions already given. 
 
 TO PROTRACT OR DRAW A MAP OF A FIELD. 
 
 Draw a line to represent a meridian, or north and south 
 line, from which lay off a bearing or course of the first side 
 of the fieM, with a protractor, or from a line of chords; and 
 from a scale of equal parts, measure the length of the side, and 
 draw a line to represent it. 
 
 At the end of this line draw a line parallel to the meridian 
 Hne, and then lay off the second side of the field as before 
 taught; proceed in. the same manner to draw parallel lines, 
 and lay off the several sides till the whole is protracted. 
 
 In protracting a field, let the top of the paper be considered 
 as north, the bottom south, the right hand east, and the left 
 hand west; lay the course to the right or left of the meridian 
 line, according as- it is oast or west, and upwards or down- 
 wards, according as it is north or south. 
 
 In all protractions, if the end of the last distance falls ex- 
 actly on the point from which you began, the course also 
 beiag right, the fieki work and protractions are truly taken 
 and performed; if not, an error must have been committed 
 in one of them : in such cases, make a second protraction ; 
 if this agrees with the former, it is to be presumed the fault 
 is in the field work - a re-survey must then be taken. 
 
 * A compass may be so constructed with two indexes, one moveable 
 and the other fixed, as to ascertain the angles made by two sides, without 
 reference to the bearing of those sides. Such a compass would be par- 
 ticularly useful in surveying land where there are mineral substances 
 which have an influence upon the compass needle, attracting it one 
 way or the other, and thus rendering it impossible to take a course by 
 it with precision. 
 
SURVEYING. 
 
 51 
 
 FIELD BOOK. See Fig. 53. 
 
 Fig. 53. 
 
 
 
 
 
 
 
 Ch. L. 
 
 
 A 
 
 B. 
 
 N. 
 
 7 
 
 0' 
 
 w. 
 
 28.20 
 
 B 
 
 B 
 
 C. 
 
 N 
 
 74 
 
 
 
 E. 
 
 39.50 
 
 i v 
 
 C 
 
 D. 
 
 S. 
 
 9 
 
 
 
 E. 
 
 38. 
 
 
 D 
 
 E. 
 
 N 
 
 . 63 
 
 20 
 
 W. 
 
 14.55 
 
 I 
 
 E 
 
 A. 
 
 S. 
 
 74 
 
 
 
 W. 
 
 28.60 
 
 
 Acres 
 
 Roods 
 
 Rods 
 
 
 
 
 Area 11716 
 
 A 
 
 REMARKS. 
 
 The sides of the several triangles into which the plot of a 
 field is divided may be found by trigonometry ; and then the 
 area of each triangle may be calculated according 1 to PROB. 
 IX.'jRw/e 3. The sum of the areas of the several triangles 
 will be the area of the whole field. This method may re- 
 quire more time, but it is perfectly accurate, since no de- 
 pendence is placed on the uncertain measurement of scale 
 and dividers. 
 
 In the preceding EXAMPLE, suppose the field divided into 
 three triangles. See Fig. 53. In the triangle E A B, the 
 sides E A and A B are known from the FIELD BOOK, and their 
 contained angle is known from the bearing of the sides. 
 The other angles and the side EB maybe found by OBLIQUE 
 TRIGONOMETRY, CASE III. ; and then there will be the three 
 sides to find the area. In the triangle E B C, the side B C is 
 known from the FIELD BOOK, and the side E B is found as 
 above mentioned ; the angle E B A is also found as above ; 
 this substracted from the angle ABC, which may be found 
 from the bearing of the sides A B and B C, will leave the an- 
 gle EBC; there will then be the two sides and their con- 
 tained angle to find the third side; and this being found, 
 there will be the three sides to find the area. In the trian- 
 gle E D C, the sides DE and D C are known from the FIELD 
 BOOK, and their contained angle is known from the bearing 
 of the sides. , The side E C and the area may be found as 
 above. 
 
 It is recommended to the learner to make these calcula- 
 
52 
 
 SURVEYING. 
 
 tions, as it will improve him in the knowledge of trigonome- 
 try. 
 
 NOTE. Two sides and their contained angle being given, the area 
 may be found by PROB. IX. Rule 4. 
 
 ANOTHER METHOD OF PROTRACTING FIELDS. 
 
 Without drawing parallel lines at the end of each side, a field 
 may be protracted by the angles made by the several sides; 
 and the angle made between any two sides may be found by 
 the following RULES. 
 
 RULE 1. If the course or bearing of one of the sides is 
 north and the other south, one east and the other west, sub- 
 stract the less course from the greater. 
 
 RULE 2. If one is north and the other south, and both 
 east or west, add both courses together. 
 
 RULE 3. If both are north or south, and one east and the 
 other west, substract their sum from 180. 
 
 RULE 4. If both are north or south, and both east or 
 west, add the less course to the supplement of the greater. 
 
 In each case, the result will give the angle contained by 
 the two sides. 
 
 To protract a field according to the preceding rules, is 
 preferable to the method of doing it by parallel lines, though 
 it may not be so easy to the learner at first. It is difficult 
 to draw parallel lines with perfect accuracy, and a small de- 
 viation from a true line may make considerable difference in 
 the plot of a field.* 
 
 EXAMPLE II. 
 
 FIELD BOOK. See Fig. 54. 
 
 AB. 
 B C: 
 CD. 
 DE. 
 E A. 
 
 N. 
 
 S. 
 
 N. 
 
 16 
 
 82 
 
 17 
 
 37 
 
 49 
 
 30' 
 
 
 
 
 
 Ch. L. 
 E. 22. 
 E. 19.60 
 
 24. 
 
 22. 
 
 25.20 
 
 E. 
 
 W. 
 
 W. 
 
 Area 84 acres. g! 
 
 * See Appendix, No. 7. 
 
SURVEYING. 
 
 53 
 
 TO DRAW A PLOT OF THIS FIELD, ACCORDING TO THE PRE- 
 CEDING RULES. 
 
 Having drawn the side AB, according to the directions be- 
 fore given for laying off the first course and distance, com- 
 pare the first and second courses together, and they will be 
 found to be both north and both east ; consequently, the an- 
 gle between them is found by RULE 4, as follows : 16 30' 
 the less course, and 98, the supplement of the greater, being 
 added, the sum is 114 30', for the angle at B. Compare the 
 second and third courses, and they will be found to be one 
 north and one south, and both east ; consequently, according 
 to RULE 2, 82, the second course, added to 17 P , the third 
 course, the sum 99, is the angle at C. The third and fourth 
 courses are both south, and one east and the other west. 
 The angle between them at D is 126; for 17, the third 
 course added to 37, the fourth course, is 54, which substracted 
 from 180, leaves 126, according to RULE 3. The fourth and 
 fifth courses are one south and the other north, and both 
 west. According to RULE 2, 27, the fourth course, added to 
 49, the fifth course, the sum 86, is the angle at E. 
 
 A little practice will render this mode of protracting a field 
 familiar and easy, and an attention to the courses will show 
 in what direction the angle is to be made. 
 
 EXAMPLE III. 
 
 FIELD BOOK. See Fig. 55. 
 
54 
 
 SURVEYING. 
 
 
 
 
 
 
 Ch. L. 
 
 AB. 
 
 N. 
 
 56 
 
 15' 
 
 E. 
 
 21.60 
 
 BC. 
 
 N. 
 
 26 
 
 30 
 
 E. 
 
 13.44 
 
 CD. 
 
 S. 
 
 71 
 
 30 
 
 E. 
 
 18.96 
 
 DE. 
 
 S. 
 
 26 
 
 30 
 
 E. 
 
 13.44 
 
 EF. 
 
 S. 
 
 71 
 
 30 
 
 W. 
 
 18.96 
 
 FG. 
 
 S. 
 
 45 
 
 
 
 E. 
 
 8.47 
 
 GH. 
 
 S. 
 
 63 
 
 30 
 
 E. 
 
 13.44 
 
 H I. 
 
 N. 
 
 45 
 
 
 
 E. 
 
 8.47 
 
 I K. 
 
 S. 
 
 26 
 
 30 
 
 E. 
 
 13.44 
 
 KL. 
 
 S. 
 
 45 
 
 
 
 W. 
 
 8.47 
 
 LM. 
 
 S. 
 
 63 
 
 30 
 
 W. 
 
 13.44 
 
 MN. 
 
 N. 
 
 76 
 
 
 
 W. 
 
 24.73 
 
 N A. 
 
 N. 
 
 36 
 
 45 
 
 W. 
 
 30. 
 
 Acres Roods Rods 
 Area 167130 
 
 The above field may be protracted, and its area calculated 
 according to the directions given in the preceding EXAMPLES. 
 
 SEVERAL FIELD BOOKS TO EXERCISE THE LEARNER IN PLOT- 
 TING FIELDS AND CALCULATING THEIR AREA. 
 
 Ch. L. 
 
 No. I. Rods 8. N. 53 15' W. 11.60 
 
 1. 
 
 N. 15 0' E. 
 
 320 
 
 9. 
 
 N. 
 
 36 45 E. 19.20 
 
 2. 
 
 N. 37 30 E. 
 
 160 
 
 10. 
 
 N. 
 
 22 30 E. 14. 
 
 3. 
 
 East 
 
 120 
 
 11. 
 
 S. 
 
 76 45 E. 12. 
 
 4. 
 
 S. 11 E. 
 
 200 
 
 12. 
 
 S. 
 
 15 W. 10.85 
 
 5. 
 
 South 
 
 216 
 
 13. 
 
 S. 
 
 16 45 W. 10.12 
 
 6. 
 
 West 
 
 160 
 
 
 
 Acres Roods Rods. 
 
 7. 
 
 S. 36 30 W. 
 
 160 
 
 Area 110223 
 
 8. 
 
 N. 38 15 W. 
 
 136 
 
 
 
 
 
 
 Acres Roods Rods. 
 
 
 
 No. III. Rods 
 
 
 Area 744328 
 
 1. 
 
 S. 
 
 65 40' W. 49.7 
 
 
 __ 
 
 
 2. 
 
 S. 
 
 67 15 W. 34.5 
 
 
 No. II. 
 
 Ch. L. 
 
 3. 
 
 S. 
 
 54 W. 17.9 
 
 1. 
 
 N. 75 0' E. 
 
 13.70 
 
 4. 
 
 S. 
 
 20 W. 5.8 
 
 2. 
 
 N. 20 30 E. 
 
 10.30 
 
 5. 
 
 S. 
 
 7 30 E. 29.4 
 
 3. 
 
 East 
 
 16.20 
 
 6. 
 
 N. 
 
 83 E. 107.4 
 
 4. 
 
 S. 33 30 W. 
 
 35.30 
 
 7. 
 
 N. 
 
 5 50 W. 22. 
 
 5. 
 
 S. 76 W. 
 
 16. 
 
 8. 
 
 N. 
 
 18 30 W. 46. 
 
 6. 
 
 North 
 
 9. 
 
 
 
 Acres Roods Rods. 
 
 7. 
 
 S. 84 W. 
 
 11.60 
 
 
 
 Area 34119 
 
SURVEYING. 
 
 55 
 
 No. IV. Rods. 
 
 Rods. 
 
 1. N. 43 0' W. 12.44 
 
 10. N. 64 0' E. 12.5 
 
 2. N. 64 W. 8. 
 
 11. N. 49 E. 14. 
 
 3. N. 52 W. 14.60 
 
 12. N. 26 10 W. 19.3 
 
 4. N. 37 5 W. 51.36 
 
 13. N. 21 W. 18.3 
 
 5. N. 15 30 W. 21.76 
 
 14. N. 44 10 W. 18. 
 
 6. N. 20 40 W. 44.60 
 
 15. N. 64 40 E. 30.5 
 
 7. N. 88 20 E. 167.60 
 
 16. N. 18 30 W. 39. 
 
 8. S. 34 40 E. 71.20 
 
 17. N. 86 5 E. 26.7 
 
 9. S. 75 W. 69.72 
 
 Acres Roods Rods. 
 
 10. S. 55 W. 64.60 
 
 Area 481 12 
 
 11. S. 25 W. 18.12 
 
 
 
 Acres Roods Rods. 
 
 No. VII. Ch. L. 
 
 Area 97 2 29 
 
 1. N. 45' W. 9. 
 
 
 2. N. 19 30 W. 5.35 
 
 
 No. V. Rods. 
 
 3. N. 23 W. 4.09 
 
 1. S. 11 50' W. 34.6 
 
 4. N. 41 35 W. 6.15 
 
 2. S. 63 20 E. 93.6 
 
 5. N. 3 W. 36.75 
 
 3. N. 4 W. 34.9 
 
 6. S. 86 50 W. 13.33 
 
 4. S. 89 55 E. 40.1 
 
 7. N. 2 15 W. 17.65 
 
 5. N. 5 20 W. 35.5 
 
 8. N. 85 45 E. 12.56 
 
 6. N. 69 40 W. 60. 
 
 9. S. 2 10 E. 8. 
 
 7. S. 78 W. 30.6 
 
 10. N. 86 45 E. 7.38 
 
 8. N. 67 20 W, 1.2 
 
 11. S. 3 15 E. 13.20 
 
 9. S 72 30 W. 10.4 
 
 12. N. 87 E. 29.92 
 
 10. S. 66 55 W. 15.2 
 
 13. N. 49 20 E. 4.04 
 
 Acres Roods Rods. 
 
 14. North 2.23 
 
 Area 41 1 34 
 
 15. N. 50 35 E. 6.50 
 
 
 
 16. S. 22 50 E. 17.94 
 
 No. VI. Rods. 
 
 17. S. 34 W, 3.50 
 
 1. S. 34 0' E. 42.8 
 
 18. S. 41 W. 3. 
 
 2. S. 29 E. 69.4 
 
 19. S. 22 50 W. 9.25 
 
 3. S. 64 50 W. 53. 
 
 20. S. 3 40 E. 2.64 
 
 4. S. 25 E. 4. 
 
 21. S. 86 W. 2.50 
 
 5. S. 66 30 W. 39. 
 
 22. S. 25 W, 14.50 
 
 6. N. 25 W. 4. 
 
 23. S. 2 W. 5.38 
 
 7. S. 64 45 W. 32.2 
 
 24. S. 10 E. 11.75 
 
 8. N. 30 30 W. 18.3 
 
 25. S. 86 W. 34.60 
 
 9. N. 56 30 E. 34.5 
 
 Acres Roods Rods. 
 
 
 Area 268 3 7 
 
 CASE V. 
 
 TO SURVEY A FIELD FROM ONE STATION AT ANY PLACE 
 
56 
 
 SURVEYING. 
 
 WITHIN THE FIELD, FROM WHICH THE SEVERAL ANGLES 
 MAY BE SEEN. 
 
 Take the bearing of the angles, and measure their distance 
 from the station. 
 
 FIELD BOOK. See Fig. 56. 
 
 Fig. 56. 
 
 From station to A. N. 20 W. 
 
 B. N. 60 E. 
 
 C. N. 87 E. 
 
 D. S. 15 E. 
 
 E. S. 60 W. 
 
 F. N. 65 W. 
 
 TO PROTRACT THIS FIELD. 
 
 Draw a meridian line as N. S. From some point in that 
 line as a centre, lay off the bearing" and distance to the sev- 
 eral angles, and draw lines from one angle to another, as 
 AB, BC, CD, &c. 
 
 TO FIND THE AREA. 
 
 The area may be calculated according to PROS. XII. by 
 measuring diagonals and perpendiculars ; or more accurately 
 according to PROB. IX. RuJe 4. 
 
 As the bearing and distance of the lines from the station to 
 the several angles are known, two sides and their contained 
 angle are given in each of the triangles into which the plot 
 is divided ; the area may, therefore, be readily calculated by 
 the RULE above referred to. 
 
 NOTE. As in the operation, the logarithm of radius is to be substract- 
 ed from the sum of the other logarithms, it may be done by re- 
 jecting the left hand figure, without the trouble of putting down 
 the ciphers and substracting. 
 
SURVEYING. 
 
 57 
 
 Triangle a A B. 
 a A, 8.70 - - - 0.939519 
 
 aB, 10 - - 
 Sine A a B, 80 
 
 1.000000 
 9.993351 
 
 Doub. area, 85.67 - 1 .932870 
 
 Triangle a B C. 
 aB, 10 ... 1.000000 
 
 aC, 11.40 - - 
 Sine B a C, 27 
 
 1.056905 
 9.657047 
 
 Doub. area, 51.75 - 1.713952 
 
 Triangle a C D. 
 aC, 11.40 - - - 1.056905 
 aD, 10.50 - - - 1021189 
 Sine C.a D, 78 - 9.990404 
 
 Doub. area, 117 - 2.068498 
 
 Triangle a D E. 
 aD, 10.50 - - - 1.021189 
 a E, 12 ... 1.079181 
 Sine D a E, 75 - 9.984944 
 
 Doub. area, 121.7 - 2.085314 
 
 Triangle a E F. 
 aE, 12 - - - 1.079181 
 
 aF, 8.78 - - 
 Sine E a F. 55 
 
 - 0.943495 
 
 - 9.913365 
 
 Doub. area, 86.31 - 1.936041 
 
 a F, 8.78 
 a A, 8.70 
 
 Triangle a F A. 
 
 - 0.943495 
 
 - 0.939519 
 
 Sine F a A, 45 - 9.849485 
 
 Doub. area, 54.01 - 1.732499 
 
 Triangle a A B 
 aBC 
 aCD 
 aDE 
 aE F 
 aF A 
 
 Double area 
 Area 
 
 - 516.54 
 . 25)827 
 
 827 
 4 
 
 3)308 
 40 
 
 12)320 
 
 Acres Roods Rods. 
 Area 25 312.32 
 
 CASE VI. 
 
 TO SURVEY A FIELD FROM SOME ONE OF THE ANGLES, FROM 
 WHICH THE OTHERS MAY BE SEEN. 
 
 From the stationary angle, take the bearing and distance 
 to each of the other angles, with a compass and chain. 
 6 
 
58 SURVEYING. 
 
 FIELD BOOK. See Fig. 57. 
 
 Fig. 57. 
 
 FG. 
 FA. 
 FB. 
 FC. 
 FD. 
 FE. 
 
 N. 
 N. 
 N. 
 N. 
 N. 
 N. 
 
 70 
 50 
 30 
 10 
 7 
 30 
 
 W. 
 
 w. 
 w. 
 w. 
 
 E. 
 E. 
 
 Ch. L. 
 14.60 
 18.20 
 16.80 
 21.20 
 16.95 
 8.50 
 
 TO DRAW A PLOT OF THIS FIELD. 
 
 Draw a meridian line to pass through the stationary angle 
 as at F. From the point F, lay off the bearing and distance 
 to the several angles, and connect them by lines, as F G, F A, 
 FB, &c. 
 
 The area may be calculated as taught in the preceding 
 
 CASE. 
 
 CASE VII. 
 
 TO SURVEY A FIELD FROM TWO STATIONS WITHIN THE 
 FIELD, PROVIDED THE SEVERAL ANGLES CAN BE SEEN 
 FROM EACH STATION. 
 
 Find the bearing from each station to the respective an- 
 gles; and also the bearing and distance from one station to 
 the other. 
 
SURVEYING. 
 
 FIELD BOOK. See Fig. 58. 
 
 59 
 
 First Station. 
 AC. N. 38 30' E. 
 
 A D. S. 69 
 
 A E. S. 59 
 
 AF. N. 63 
 
 AG. N. 21 
 A H. North. 
 
 E. 
 
 W. 
 
 W. 
 
 W. 
 
 Second Station. 
 
 BC. S. 82 0' E. 
 
 BD. S. 17 E. 
 B E. S. 28 W. 
 
 B F. S. 
 BG. N. 76 
 BH. N. 24 
 
 49 W. 
 W. 
 W. 
 
 Stationary line A B. N. 14 E. 20 chains. 
 
 TO PROTRACT THIS TIELD. 
 
 At the first station A, draw a meridian line, and lay off the 
 bearings t9 the respective angles; draw the stationary line 
 A B, according to the bearing and distance ; at B draw a 
 meridian line parallel to the other, and lay off the bearings 
 to the angles, as taken from this station ; from each station 
 draw lines through the degree which shows the bearing of 
 each angle, as marked by the protractor or line of chords, 
 and the points where those lines intersect each other will be 
 the angles of the field. Connect those angular points to- 
 gether by lines, and those lines will represent the several 
 sides of the field. 
 
 CASE VIII. 
 
 , TO SURREY AN INACCESSIBLE FIELD. 
 
 Fix upon two stations at a convenient distance from the 
 
60 
 
 SURVEYING. 
 
 field, from each of which the several angles maybe seen; 
 from each station take the bearing of the angles ; and take 
 the bearing and distance from one station to the other.* 
 
 FIELD BOOK. See Fig. 59. Fig. 59. 
 
 
 First Station. 
 
 AE. 
 AF. 
 AG. 
 AD. 
 AH. 
 AC. 
 
 N. 
 N. 
 
 N. 
 N. 
 
 N. 
 N. 
 
 9 
 16 
 14 
 39 
 40 
 72 
 
 15' 
 
 30 
 
 
 
 
 E. 
 E. 
 E. 
 E. 
 E. 
 E. 
 
 N 
 
 
 s 
 
 
 ^ . 
 
 A 
 
 1-- 1 
 
 -"*" 
 
 X C 
 
 / C 
 
 *, 
 
 si 
 
 4 
 
 B 
 
 Second Station. 
 
 
 BE. 
 
 N. 
 
 50 0' W. 
 
 
 B F. 
 
 N. 
 
 29 15 W. 
 
 
 B D. 
 
 N. 
 
 24 W. 
 
 
 BG. 
 
 N. 
 
 21 30- W. 
 
 
 BH. 
 
 N. 
 
 5 E. 
 
 
 B C. 
 
 N. 
 
 20 30 E. 
 
 
 
 Ch. 
 
 L. 
 
 Stationary distance A B. S. 88 30' E. 19.20. 
 
 44. 
 
 The directions given in the last CASE for plotting the field, 
 will apply in this CASE also ; and the area in this and the pre- 
 ceding CASE may be calculated in the manner pointed out in 
 CASE IV. by dividing the plot into triangles, and measuring 
 diagonals and perpendiculars. Or the sides may be found 
 by trigonometry, and the area calculated arithmetically, as 
 already taught. 
 
 CASE IX. 
 
 TO SURVEY A FIELD WHERE THE BOUNDARY LINES ARE 
 
 * This method of practice is subject to much error. 
 
SURVEYING. 
 
 51 
 
 VERY IRREGULAR, WITHOUT NOTICING WITH THE COMPASS 
 EVERY SMALL BEND. 
 
 Begin near one corner of 
 the field, as at A, Fig. 60, 
 and measure to the next 
 large corner, as B, in a 
 straight line ; noticing also 
 the bearing of this line. 
 From the line take offsets 
 to the several bends, at right 
 angles from the line; noti- 
 cing in the FIELD BOOK at 
 what part of the line they are 
 taken, as at A1,H2,I3, B4. 
 Proceed in the same manner 
 round the field. Inthe figure, 
 the dotted lines represent 
 the stationary lines, and the 
 black lines the boundaries of 
 the field. 
 
 Fig. 60. 
 
 Bearing and Distance. 
 
 Offsets. 
 
 Bearing and Distance. 
 
 Offsets. 
 
 Ch. L. 
 AB. N. 850 / E. 11.20 
 at 5.40 
 
 8.26 
 the end 
 
 Ch. L. 
 0.56 
 1.40 
 0.36 
 0.36 
 
 Ch. L. 
 E F. S.67 50' W. 8.20 
 at 1.04 
 2.96 
 
 5.88 
 the end 
 
 Ch. L. 
 0.40 
 0.36 
 0.33 
 1. 
 0.12 
 
 B C. N. 7 20' >,. 7 96 
 at 2.36 
 4.28 
 1 e end 
 
 0.20 
 0.36 
 0.96 
 0.30 
 
 F G. S. 27 40' E. 7 06 
 at 2. 
 the end 
 
 1.20 
 0.24 
 016 
 
 CD. N. 62 0' W 4.6b 
 at 4 34 
 
 0.30 
 030 
 
 GA. S.^WW. 6.48 
 at 3.80 
 the end 
 
 0.80 
 0.40 
 
 DE. N.I PUT W. 4.20 
 
 TO PROTRACT THIS FIELD. 
 
 Draw the stationary lines according to the directions in 
 CASE IV. From A make an offset of 56 links to I ; measure 
 from A to H 540 links, and make the offset, H 2, 140 links; 
 measure from A to I 826 links, and make the offset I 3, 36 
 links ; at B make the offset B 4, 36 links. Proceed in the 
 same manner round the field, and connect the ends of the off- 
 sets by links, which will represent the boundaries of the field. 
 
62 SURVEYING. 
 
 TO FIND THE AREA. 
 
 Find the area within the stationary lines as before taught j 
 then of the several small trapezoids, rectangles, and trian- 
 gles, made by the stationary lines, offsets, and boundary lines, 
 and add the whole together : thus, add 56 links, the offset A 
 1, to 140 links, the offset H 2, and multiply their sum, 196, by 
 half 540, the length of the line A H, and the product 52920 
 square links, will be the area of thetrapezoid A H 21 ; again, 
 add 140, the offset H 2, to 36, the offset I 3, and multiply their 
 sum, 176, by half 286, the length of the line H I, and the pro- 
 duct, 25168 square links, will be the area of the trapezoid 
 H I 3 2. Proceed in the same manner to calculate the area 
 of all the trapezoids, triangles, &c. 
 
 CASE X. 
 
 TO SURVEY A FIELD BY TAKING OFFSETS BOTH TO THE RIGHT 
 
 AND LEFT; THAT is, WITHIN AND WITHOUT THE FIELD, 
 
 AS OCCASION SHALL REQUIRE, IN CONSEQUENCE OF THE 
 STATIONARY LINES CROSSING THE BOUNDARY LINES J 
 ALSO, BY INTERSECTIONS, THAT IS, TAKING THE BEARING 
 OF AN INACCESSIBLE CORNER FROM TWO STATIONS." - 
 
 The directions given in the preceding CASE, together with 
 the following FIELD BOOK, will show the learner how to sur- 
 vey a field like the following, and also to protract it when 
 surveyed. 
 
SURVEYING. 
 
 FIELD BOOK. See Fig. 61. 
 
 Fig&l. 
 
 Offsets, 
 to the 
 Left. 
 
 Bearing and distance. 
 
 Offsets, 
 to the 
 Right. 
 
 Remarks. 
 
 Ch. L. 
 1.12 
 3.40 
 1.25 
 
 Ch. L. 
 AB. N. 880'W. 22.12 
 at 4.25 
 7.40 
 13. 
 
 Ch. L. 
 
 A tower bears from 
 A. N. 48 W. 
 
 1.45 
 
 B C. N. 27 45' W. 21.12 
 at 4 10 
 10.25 
 15. 
 
 1.20 
 1.15 
 
 From B the tower bears 
 N. 38 30' E. 
 
 
 01. S. 8215 / E. 5.45 
 1 2 N. 70 E. 13.25 
 2 D. N. 20 E. 3.36 
 
 
 From C go into the field 
 to 1, on account of some 
 impediment on or near 
 the boundary line. AtD, 
 you get into another cor- 
 ner of the field. 
 
 
 D P. S. 35 0' E. 15.15 
 
 
 E. an inaccessible cor- 
 ner, bears from. D. S. 
 65 30' E. 
 
 2.20 
 2.32 
 
 FA. S. 15 15' E. 15.10 
 at 1.20 
 7.45 
 12.25 
 
 1.36 
 
 E. the inaccessible corner, 
 bears from F. N. 4 W. 
 
 NOTE. To draw a tree, house, tower, or any other remarkable ob- 
 ject, in its proper place, in the plot of a field from any two stations, 
 while surveying the field, take the bearing of an object, and the 
 intersection of the lines, which represent the bearings, will deter- 
 mine the place of the object, in the same manner that the tower is 
 drawn in ihe figure. 
 
64 SURVEYING. 
 
 TO FIND THE AREA OF THE ABOVE FIELD. 
 
 Find the area within the stationary lines, and then of the 
 several small trapezoids, &c. remembering 1 to distinguish 
 those without the stationary lines from those which are with- 
 in. Substract the area of those within the stationary lines 
 from the area of those without, and add the remainder to the 
 area contained within the stationary lines ; the sum will be 
 the whole area of the field. 
 
 [Or, add the areas of those without the stationary lines, to 
 the area contained within those lines, and substract from the 
 sum the areas of the several triangles, trapezoids, &c. with- 
 in the stationary lines.] 
 
 SECTION III. 
 
 RECTANGULAR SURVEYING, OR AN ACCURATE METHOD OF 
 CALCULATING THE AREA OF A FIELD ARITHMETICALLY, FROM 
 THE FIELD BOOJC, WITHOUT THE NECESSITY OF PROTRACTING 
 IT, AND MEASURING WITH A SCALE AND DIVIDERS, AS IS 
 COMMONLY PRACTISED. 
 
 I. Survey the field in the usual method, with an accurate 
 compass and chain, and from the field book set down, in a 
 traverse table, the course or bearing of the several sides, and 
 their length in chains and links, or rods and decimal parts of 
 a rod ; as in the 2nd and 3d columns of the following EX- 
 AMPLE. 
 
 
SURVEYING. 
 
 65 
 
 EXAMPLE I. 
 
 II 
 
 i 
 i 
 
 i 
 i 
 
 1 
 1 
 1 
 
 1 
 
 91fi6.7040 
 
 
 ci 
 
 1 
 1 
 1 
 
 i 
 
 I 
 
 
 
 co' 
 
 w 
 
 s 
 
 11 
 
 1600.0910 
 
 1 
 
 1 
 
 I 
 l 
 I 
 
 1 
 
 
 1 
 
 1 
 
 (L,^ 
 c* 
 
 1 
 
 S 
 
 1 
 
 1 
 
 ffi 
 
 
 
 g 
 
 P 
 
 5* 
 
 
 
 l 
 
 i 
 
 J_ 
 
 i- 
 
 TT 
 
 i'- 
 
 oS 
 
 i 
 
 {: 
 
 5 
 
 "" 
 
 oci 
 
 55 
 
 o 
 o 
 
 H 
 
 i 
 
 
 11 
 
 II 
 
 11 
 
 cioi 
 
 | 
 
 
 y 
 
 o ^ 
 
 02 
 
 
 I 
 
 i 
 i 
 
 11 
 
 00 
 
 
 
 
 ^ s 
 
 CO t5 
 
 * 
 
 
 ~H r-J 
 
 \ 
 
 , 
 
 1 
 
 ; 
 
 1 
 
 o QO 
 
 s s 
 
 o 
 
 
 
 i 
 
 js 
 
 
 1 
 O 
 
 N. 15 0' E. 
 
 H 
 
 w 
 
 w 
 
 o 
 oi 
 
 1 
 
 
 
 s 
 
 c^ 
 
 
 No. 
 
 ' H 
 
 <M 
 
 CO 
 
 >* 
 
 rj 
 
 to 
 
 ^ 
 
 00 
 
 19143.9019 sum of South Areas. 
 4245.4016 North do. 
 
 2)14898.5003 
 
 Acres 744)92501 
 4 
 
 Roods 3)70004 
 40 
 
 Rods 28)00160 
 
 Acres Roods Rods 
 Area 7 44 3 28 
 
66 SURVEYING. 
 
 2. Calculate by RIGHT ANGLED TRIGONOMETRY, CASK I, 
 
 or find by the table of difference of latitude and departure,* 
 or by the table of natural sines,f the northing or southing, 
 easting or westing, made on each course, and set them down 
 against their several courses in their proper columns, marked 
 N. S. E. W. 
 
 NOTE. To determine whether the latitude and departure for any 
 particular course and distance are accurately calculated, square 
 each of them ; and if they are right, the sum of their squares will 
 equal the square of the distance, for the following reason: the la- 
 titude and departure represent the two legs of a right angled tri- 
 angle, and the distance the hypothenuse; and it is a mathematical 
 truih, that the square of the hypothenuse of any right angled tri- 
 angle, is equal io the sum of the squares of the two legs. 
 
 3. If the survey has been accurately taken, the sum of the 
 northings will equal that of the southings, and the sum of the 
 eastings will equal that of the westings. If, upon adding up 
 the respective columns, these are found to differ very con- 
 siderably, the field should be again surveyed; as some error 
 must have been committed, either in taking the courses, or 
 measuring the sides. If the difference is smafl, a judicious, 
 experienced surveyor, will judge from the nature of the 
 ground, or shape of the field surveyed, where the mistake 
 was most probably made, and will correct accordingly. Or, 
 the northings and southings, and the eastings and westings, 
 may be equalled by balancing them, as follows : substract 
 one half the difference from that column which is the largest, 
 and add it to that column which is the smallest; and let the 
 difference, to be added or substracted, be divided among the 
 several courses, according to their length. 
 
 In EXAMPLE I., the upper numbers are the northings, &c., 
 as found by a table of difference of latitude and departure. 
 The several columns being added, the northings are found to 
 exceed the southings 47 links, and the westings to exceed 
 the eastings 24 links; [47 being uneven, drop a link from, 
 the northings, and it becomes 46. Let half of this (23) be 
 taken from the northings, and added to the southings ;] like- 
 wise, take 12 links from the westings, and add it to the east- 
 ings. Take from the first course of the northings 12 links, 
 from the second 7, and from the third 5 ; to the first southing 
 add 7 links, to the second 10, and to the third 6 ; add to the 
 first easting 3 links, to the second 3, to,the third 4, and to the 
 
 * For an explanation of this table, and the manner of using it, see 
 the remarks preceding the table. 
 t See the remarks preceding the table of natural sines. 
 
SURVEYING. 67 
 
 fourth 2 ; take fronvthe first westing 5 links, from the second 
 4, and from the third 3. [These are the proportional correc- 
 tions belonging to each, as found by calculation.*] The 
 lower numbers will then represent the northings, &c. as 
 balanced. 
 
 4. These columns being balanced, proceed to form a de- 
 parture column, or a column of meridian distances; which 
 shows how far the end of each side of the field is east or 
 west of the station where the calculation begins. This col- 
 umn is formed by a continual addition of the eastings, and 
 substraction of the westings ; or by adding the westings and 
 substracting the eastings: see EXAMPLE 1. 
 
 The first easting, 20.74, is set for the first number in the 
 departure column; to this add 24.38, the second easting, 
 and it makes 45.12, for the second number; to this add 
 30.04, the third easting, and it makes 75.16, for the third 
 number ; to this add 9.56, the fourth easting, and it makes 
 84.72, for the fourth number ; the fifth course being south, 
 it is evident the meridian distance will remain the same, 
 therefore place against it the same easting as for the prece- 
 ding course; from this substract 39.95, the first westing, and 
 it leaves 44.77, for the sixth course ; from this substract 
 23.75, the second westing, and it leaver 21.02, for the sev- 
 enth course; from this substract 21.02, the last westing, and 
 it leaves 0.0 to be set against the last course, which shows 
 that the additions and substractions have been accurately 
 made. For as the eastings and westings equal each other, 
 it is evident that the one being added and the other substract- 
 ed, there will be in the end no remainder. 
 
 5. The next step in the process is to form a second de- 
 parture column, the numbers in which show the sum of the 
 meridian distances at the end of the first and second, second 
 and third, third and fourth courses, &c. 
 
 The first number in this column will be the first in the 
 other departure column ; to which add the second number in 
 that column for the second in this ; for the third add the se- 
 cond and third; and for the fourth the third and fourth ; and 
 so on, until the column be completed. See EXAMPLE I. 
 
 The first number to be placed in the second departure col- 
 umn is 20.74; to this add 45.12, and it makes 65.86 for the 
 second number ; to 45.12 add 75.16, and it makes 120.28, for 
 the third number; to 75.16 add 84.72, and it makes 159.88 
 for the fourth number; to 84.72 add 84.72, and it makes 
 169.44 for the fifth number; to 84.72, add 44.77, and it makes 
 
 * See Appendix, No. 5. 
 
63 
 
 SURVEYING. 
 
 129.49 for the sixth number, to 44.77 add 21.02, and it 
 makes 65.79 for the seventh number; to 21.02 add 0.0, 
 and it makes 21.02 for the eighth number. 
 
 6. When the work is thus far prepared, multiply the 
 several numbers in the second departure column by the 
 northings or southings standing against them respectively; 
 place the products of those multiplied by the northings in 
 the column of north areas, and of those multiplied by the 
 southings in the column of south areas ; add up these two 
 columns, and substract the less from the greater ; the remain- 
 der will be double the area of the field in square rods or 
 square chains and links, which ever measure was used in the 
 survey. 
 
 [In the preceding explanations, the meridian is supposed 
 to pass through the extreme west angle of the field. It is 
 best always to take the extreme east or west angle.] 
 
 Fig. 62. 
 
 Demonstration of the preceding rules. 
 See Fig. 62. and EXAMPLE I. 
 
 The dotted line A 2 represents the northing, and the line 
 2 B the easting, made by the first course; these multiplied 
 together, that is, 77.15x20.74=1600.0910, which is double 
 the area of the triangle A 2 B, as is evident from the rule to 
 find the area of the triangle, PROB IX. Rule I. This num- 
 ber is to be placed for the first number in the column of 
 north areas. The line 3 C represents the sum of the eastings 
 made by the first and second courses, which is 45.12, the se- 
 cond number in the first departure column; if to this you 
 add 20.74, the length of the line 2 B, you have 65.86, which is 
 the second number in the second departure column, and 
 which represents the sum of the two lines 3 C and 2 B. 
 These two lines, with the line 2 3, which represents the 
 
SURVEYING. 69 
 
 f 
 
 northing made by the second course, and the line B C, one 
 of the sides of the field, form a right angled trapezoid. 
 Now, by the rule to find the area of such a trapezoid, see 
 PROB. X., 65.86X31.66=2085.1276, double the area of the 
 trapezoid 2 B C 3. Place this product for the second number 
 in the column of north areas. 
 
 To the line 3 C add C D 30.04, that easting'made by the 
 third course, and you have 75.16, which is the sum of the 
 eastings made by the three first courses, and the third num- 
 ber in the first departure column. To this add 9.56, the 
 easting of the fourth course, and you have 84.72, the length 
 of the line 1 E, which represents the sum of the eastings 
 made by the four first courses, and is the fourth number in 
 the first departure column. These two, viz., the lines 3D 
 75.16, and i E 84.72, added together, make 159. 88, the fourth 
 number Jn the second departure column ; which being multi- 
 plied by 49.15, the length of the line 3 1, which represents 
 the southing made by the fourth course, will give double 
 the area of the trapezoid 1 E D3. The number thus pro- 
 duced is 7858.1020, which is to be placed for the first num- 
 ber in the column of south areas. 
 
 Tha fifth course being due south, it is evident the sum of 
 the eastings will remain the same as at the end of the fourth 
 course; that is, the line 4F equals the line IE, which is 
 84.72. These added, make 169.44, the fifth number in the se- 
 cond departure column. This, being multiplied by 54.10, the 
 length of the line E F, which is the southing of the fifth 
 course as corrected in balancing, and the same as the line 1 
 4, will give double the area of the parallelogram 1 E F4, 
 which is 9166.7040, the second number in the column of 
 south areas. 
 
 From the line 4 F 84.72, substract 39.95, which is a west 
 course and it leaves 4 G 44.77, the sum of the eastings, or 
 the meridian distance, at the end of the sixth course, and 
 the sixth number in the first departure column. From this 
 substract 23.75, the westing made by the 7th course, and you 
 have 21.02, the length of the line 5 H, which is the meridian 
 distance at the end of the seventh course, and the seventh 
 number in the first departure column. The line 4 G 44.77, 
 added to the line 5 H 21.02, make 65.79, the seventh number 
 in the second departure column. This being multiplied by 
 32.21, the length of the line 4 5, which is the southing of the 
 seventh course, will give double the area of the trapezoid 
 4 G H 5, which is 21 19.0959, the third number in the column 
 of south areas. 
 
 The line H 5, 21.02, is the westing of the last course, and 
 7 
 
70 SURVEYING. 
 
 the last number in'the second departure column. This being 
 multiplied by 26.65, length of the line 5 A, and the northing 
 of the last course, produces 560.1830, which is double the 
 area of the triangle A 5 H, and the last number in the col- 
 umn of north areas. 
 
 NOTE. It will be observed that against the third and sixth courses there 
 are no areas ; the reason is, that these courses being one east and 
 the other west, there is no northing or southing to be multiplied 
 into them ; regard can therefore be had to them only in forming 
 the departure columns. 
 
 By inspecting the figure, and attending to the preceding 
 illustrations, it will be seen that the three north areas repre- 
 sent double the area of the triangle A 2 B, the trapezoid 2 B C 3, 
 and the triangle A 5 H, all of which are without the boun- 
 dary lines of the field : also, that the three south areas rep- 
 resent double the area of the trapezoid 3 DE 1, the parallelo- 
 gram 1 E F 4, and the trapezoid 4 G H 5 ; and that these in- 
 clude not only the field, but also what was included in the 
 north areas. Therefore the north areas substracted from the 
 south, the remainder will be double the area of the field, con- 
 tained within the black lines. 
 
 ADDITIONAL DIRECTIONS AND EXPLANATIONS. 
 
 The northings and southings may be added and substract- 
 ed instead of the eastings and westings ; then there will be 
 two latitude columns instead of departure columns, and the 
 numbers in the second latitude column must be multiplied 
 into the eastings and westings, and you will have east and 
 west areas. 
 
 When the course is directly north and south, the distance 
 must be set in the north or south column ; when east or west, 
 in the east or wesfcolumn. There will therefore sometimes 
 be no number to be added to or substracted from the num- 
 ber last set in the latitude or departure column ; then the 
 number last placed in the column must be brought down 
 and set against such course ; as in EXAMPLE I. at the 5th 
 course. It may also sometimes be the case, that there will 
 be no number to multiply into the number in the second 
 latitude or departure column; then that number must be 
 omitted, and against such course there will be no area, as 
 in EXAMPLE I. at the 3d and 6th courses. 
 
 When the northings or southings, eastings or westings, 
 beginning at the top, will not admit of a continual addition 
 of the one and the substraction of the other, without run- 
 
SURVEYING!. 
 
 71 
 
 ning out before you get through the several courses, you 
 may begin at such a course in the field book as will admit 
 of a continual addition and substraction ; and when you get 
 to the bottom, go to the top, and you will end in cipher at 
 the course next above that where you began. 
 
 EXAMPLE II. 
 
 No. 
 
 1. 
 2. 
 3. 
 4. 
 5. 
 6. 
 7. 
 
 a 
 
 9. 
 10. 
 IL 
 12. 
 13. 
 
 Courses. 
 
 Diet, 
 rods. 
 
 N. 
 
 S. 
 
 E. 
 
 W. 
 
 112 
 11.7 
 
 77.9 
 62.1 
 
 1 Dep. 
 Col. 
 
 46.0 
 67.4 
 114.1 
 102.9 
 91.2 
 144.1 
 158.5 
 223.3 
 145.4 
 83.3 
 83.3 
 37.2 
 00.0 
 
 2 Dep. 
 Col. 
 
 North 
 areas. 
 
 South 
 areas. 
 
 N. 36 45' E. 
 N. 22 30 E. 
 & 7645 E. 
 S. 15 00 W. 
 S. 16 45 W. 
 N. 75 00 E. 
 N. 20 30 E. 
 East 
 S. 33 30 W. 
 8. 76 00 W. 
 North 
 S. 84 00 W. 
 N. 53 15 W. 
 
 76.8 
 56.0 
 48.0 
 43.4 
 40.5 
 54* 
 41.2 
 64.8 
 141.2 
 64.0 
 36.0 
 46.4 
 46.4 
 
 61.5 
 51.7 
 
 4.2 
 38.6 
 
 36.0 
 27.8 
 
 ii.o 
 
 41.9 
 38.8 
 
 117.7 
 15.5 
 
 46.0 
 21.4 
 46.7 
 
 529 
 14.4 
 
 64.8 
 
 46.0 
 113.4 
 181.5 
 217.0 
 194.1 
 235.3 
 302.6 
 381.8 
 368.7 
 228.7 
 166.6 
 120.5 
 37.2 
 
 2829.00 
 5862.78 
 
 3341.26 
 11680.36 
 
 1996.50 
 9092.30 
 7531.08 
 
 5997.60 
 1034.16 
 
 43395.99 
 3544.85 
 
 590.45 
 
 4.9 
 
 
 46.1 
 37.2 
 
 110 Acres, 2 Roods, and 23 Rods. 
 
 DEMONSTRATION. 
 
 Fig. 63. 
 
 The area standing against the 1st course, is the triangle 
 12t, lying without the field. 
 
72 
 
 That against the 2d course is the trapezoid 23<w, lying 1 
 without the field. 
 
 That against the 3d course is the trapezoid 34#c, and 
 it is a south area, lying partly within and partly without the 
 field. 
 
 That against the 4th course is the trapezoid 45cw, and it is 
 also a south area. 
 
 That against ?he 5th course is the trapezoid 56mo, and it is 
 also a south area. 
 
 That against the 6th course is the trapezoid Q7no, and it 
 is a north area, a part of which is already contained in two 
 different products. In this area, and in the two succeeding 
 areas, all of that part of the figure which lies above the 
 line 06, is considered void, and it may again be covered by 
 both north and south products. 
 
 The area against the 7th course is the trapezoid 78 en, and 
 it is a north area. 
 
 Against the 8th course there is no latitude. 
 
 The area against the 9th course is the trapezoid 9,10,ea; and 
 it is a south area. 
 
 That against the 10th course i& the trapezoid 10, 11, xz, and 
 it is a south area. 
 
 That against the llth station is the parallelogram 11, 12,sz, 
 and is a north area. 
 
 That against the 12th station is the trapezoid 12, 13,s#, and 
 it is a south area. 
 
 That against the 13th station is the triangle 13,1/y, and it 
 is a north area. 
 
 When the field is very irregularly shaped, it will often 
 happen that parts of the same area will be contained in sev- 
 eral different products in the column of areas. As often as 
 a space is cohered: fey a north product, so often will it be 
 covered by a south product ; but in the final result, the sum 
 of one column being substracted from that of the other, will 
 leave what is included within the boundary lines of the 
 field. 
 
 This method of calculating the area of a field by the north- 
 ings, southings, eastings, and westings, divides the field, with 
 a certain quantity of the adjoining ground, into right angled 
 triangles, right angled trapezoids, parallelograms, or squares, 
 as may be seen by the figures. It may therefore with pro- 
 priety be called RECTANGULAR SURVEYING.* 
 
 *See Appendis, No. 6. 
 
, 
 
 * 
 SURVEYING. 73 
 
 A USEFUL PROBLEM. 
 
 To FIND THE TRUE AREA OF A FIELD WHICH HAS BEEN 
 MEASURED BY A CHAIN TOO LONG OR TOO SHORT. 
 
 Calculate the area as if the chain was of a true length, 
 then institute the following proportion. 
 
 As the square of the length of the true chain ; 
 Is to the area, as found by the chain made use of; 
 So is the square of the length of that chain; 
 To the true area of the field. 
 
 EXAMPLE. 
 
 Suppose a field, measured by a two rod chain 3 inches too 
 long, is found to contain 41 acres 1 rood and 33 rods, what 
 is the true area. 
 
 As the square of 33 feet, the true length of a two rod chain ; 
 is to 41 acres 1 rood and 33 rods; so is the square of 33 feet 
 3 inches, the length of the chain used in the survey ; to 42 
 acres and 13 rods. 33 feet=396 inches. 396X396=156816 
 square inches. 
 
 41 acres 1 rood 33 rods=6633 rods. 
 
 33 feet 3 inches=399 inches. 399X399=159201 square 
 inches. 
 
 159201X6633+156316=6733 rods. 
 
 6733+160=42 acres 13 rods, the true area. 
 
 PART II. 
 
 LAYING OUT LAND. 
 
 PROBLEM I. To lay out any number of acres in the 
 form of a square. 
 
 Annex 5 ciphers to the number of acres, which will turn 
 them into square links, the square root of which will be the 
 side of the square in links. 
 
 EXAMPLE I. It is required to lay out 810 acres in the 
 form of a square. 
 
 Answer. Each side of the square must be 9000 links, or 
 90 chains. 
 
 7 
 
74 
 
 SURVEYING. 
 
 PROBLEM II. To LAY OUT ANY NUMBER OF ACRES IPC 
 
 THE FORM OF A PARALLELOGRAM, WHEREOF ONE SIDE IS 
 GIVEN. 
 
 Divide the number of acres when turned into square links, 
 by the given side; the quotient will be the side required. 
 
 EXAMPLE. What must be the longest side of a rectan- 
 gle, which is to contain 25 acres, when the shortest side is 5 
 chains and 50 links ? ' 
 
 Answer. 2500000-5-550=4545 links for the longest side. 
 
 PROBLEM III. To LAY OUT ANY NUMBER OF ACRES 
 
 IN A FIELD, 3, 4, 5, 6, &C. TIMES AS LONG AS IT IS BROAD. 
 
 Divide the acres when turned into square links, by the ra- 
 tio between the length and breadth ; the square root of the 
 quotient will be the shortest side. 
 
 EXAMPLE. It is required to lay out 100 acres 5 times as 
 long as it is broad. 
 
 Answer. 1 0000000-^-5=2000000, .the square root of which 
 is 1414 links for the shortest side, and the longest will be 
 7070 links. 
 
 PROBLEM IV. To MAKE A TRIANGLE WHICH SHALL 
 
 CONTAIN A GIVEN NUMBER OF ACRES, BEING CONFINED TO 
 A CERTAIN BASE. 
 
 Double the given number of acres, to which, annex 5 ci- 
 phers, and divide by the base ; the quotient will be the per- 
 pendicular height in links. 
 
 EXAMPLE. Upon a base of 40 chains, to lay out 100 acres 
 in a triangular form. 
 
 Answer, 5000 links, or 50 chains, will be the length of the 
 perpendicular. 
 
 The perpendicular may be erected 
 from any part of the base : thus, the 
 triangle ABC, see Fig. 64, is the same 
 as AB E, each containing 100 acres. 
 
SURVEYING. 
 
 75 
 
 When the given base is so situ- 
 ated that a perpendicular of suffi- 
 cient length cannot be erected 
 therefrom, continue the base as 
 from B to D, Fig. 65, from which 
 erect the perpendicular D C, and 
 complete the triangle ABC, 
 which will contain 100 acres. 
 
 Fig. 65. 
 
 PART III. 
 
 DIVIDING LAND. 
 
 As different fields are so variously, and many of them ir- 
 regularly shaped, and as they are required to be divided in 
 many different proportions, it is difficult to give rules which 
 will apply to particular cases. The business of dividing land 
 must therefore be left, in a great measure, to the skill and 
 judgment of the surveyor; who, if he is well acquainted with 
 trigonometry, and with measuring land, will not find it diffi- 
 cult, after a little practice, to divide a field in such a manner 
 as shall be desired. If he has before him a plot of the field, 
 and knows the number of parts into which it is to be divided, 
 and the proportion which each part is to bear to the others, 
 he will readily find out where the dividing lines are to be 
 drawn. 
 
 A few RULES and EXAMPLES will be given for the general 
 instruction of the learner. 
 
 PROBLEM I. To CUT OFF ANY NUMBER OF ACRES FROM 
 
 A SQUARE OR RECTANGLE. 
 
 Say, as the whole number of acres in the field ; is to the 
 length of the square or length or breadth of the rectangle; 
 so is the number of acres proposed to be cut off; to their 
 proportion of the length or breadth. 
 
 * * ' ' . 
 PROBLEM II. To CUT OFF ANY NUMBER OF ACRES BY 
 
 A LINE FROM ANY ANGLE OF A TRIANGLE. 
 
 Measure the base, or side opposite the angle from which 
 
76 
 
 SURVEYING. 
 
 the dividing line is to be drawn; then say, as the number of 
 acres in the whole triangle ; is to the whole base ; so is the 
 given number of acres; to their part of the base. 
 
 Fig., 66. 
 
 EXAMPLE. See Fig. 66. 
 
 In the triangle ABC, which contains 48 acres, it is required 
 to cut off 18 acres, by a line proceeding from C to the base 
 A B, which is 40 chains. 
 
 As 48: 40: : 18 : 15 
 
 Lay 15 chains on the base from B to D, and draw the line 
 C D. The triangle will then be divided as was proposed ; 
 BCD, containing 18 acres. 
 
 PROBLEM III. To TAKE OFF ANY GIVEN NUMBER OF 
 
 ACRES FROM A MULTANGULAR FIELD. 
 
 EXAMPLE I. See Fig. 67. B 
 
 Let A B C D, &c. be the plot of a field containing 1 1 acres, 
 from which it is required to cut off 5 acres. 
 
 Join two opposite corners of the field, as D and G, with the 
 line D G, (which you may judge to be near the partition line,) 
 and find the area of the part D E F G, which, suppose, may 
 want 140 rods of the quantity proposed to be cut off Mea- 
 sure the line D G, which, suppose to be 70 rods; divide 140 
 by 35, the half of D G, and the quotient 4 will be the length of 
 the perpendicular of a triangle, whose, base is 70 and the area 
 140. Lay off 4 rods from G to I, and draw the line D I, 
 which will be the dividing line.* 
 
 *This explanation supposes DGand AG alright angles to each 
 ether. When they are not at right angles, the height G I most not 
 be measured on the side of the field. ED. 
 
SURVEYING, 
 
 EXAMPLE II. See Fig. 68. 
 
 Let ABC D, /&c. be a tract of 
 land to be divided into two equal 
 parts, by a line from I to the oppo- 
 site side C D ; to find arithmetically 
 on what part of the line C D the di- 
 viding line I N will fall ; or to find 
 the distance C N. 
 
 Fig. 68. 
 
 FIELD BOOK. 
 
 
 
 
 
 Rods. 
 
 
 
 AB. 
 
 N. 
 
 19 
 
 0' 
 
 E. 
 
 108 
 
 FG. 
 
 W 
 
 BC. 
 
 S. 
 
 77 
 
 
 
 E. 
 
 91 
 
 GH. 
 
 N. 
 
 CD. 
 
 S. 
 
 27 
 
 
 
 E. 
 
 115 
 
 HI. 
 
 Nc 
 
 DE. 
 
 S. 
 
 52 
 
 
 
 W. 
 
 58 
 
 I A. 
 
 N. 
 
 EF. 
 
 S. 
 
 15 
 
 30 
 
 E. 
 
 76 
 
 
 
 Rods. 
 
 t 70.9 
 
 36 0' W. 47 
 h 64.3 
 
 62 15 W. 59 
 
 Acres Rood Rods. 
 Whole area 152 1 "25 
 
 Find the area of the part I A B C, according to SECTION 
 III. page 64, as follows : set the latitude and departure of the 
 three first sides, I A, A B, and B C, in their proper columns, 
 in a traverse table 5 and place as much southing, viz. 109.1, 
 equal to the line C K, and as much westing, viz. 71.7, 
 equal to the line K I, as will balance the columns. This 
 southing and westing will be the latitude and departure made 
 by the line C I. The area of I A B C will be found to be 
 8722 rods, which is less than half the area of the whole field 
 by 3470 rods, the quantity to be contained in the triangle I C N. 
 Find the bearing and distance of C I by RIGHT ANGLED 
 TRIGONOMETRY, CASE' IV. as follows:* 
 
 As C K, the southing of C I, 109, nearly - 2.037426 
 
 : radius - 10000000 
 
 : : K.I, the westing of C I, 71.7 - - - 1.855519 
 
 : tangent course S. 33 20' W. 
 
 11855519 
 2 037426 
 
 9.818093 
 
 * The mode given above is undoubtedly the most correct, but the use 
 of the traverse table will save many figures. From that table the 
 course and distance of C I, may be found at sight. ED. 
 
78 SURVEYING. 
 
 As sine course 33 20' .... 9.739975 
 
 : departure K I, 71.7 1.855519 
 
 :: radius 10.000000 
 
 11.855519 
 
 9.739975 
 
 : Distance I C 130.5 - - - - 2.115544 
 
 NOTE. In this way the course and distance may be found from, any 
 angle of a field to another. 
 
 Having found the line C I, divide 3470, the number of rods 
 to be contained in the triangle I C N, by one half the line C I, 
 viz. 65.25 ; the quotient will be the length of the perpendicu- 
 lar PN, viz. 53.18. 
 
 Now, by the bearings of C I and C D, it appears that they 
 form an angle of 60 20' ; wherefore, in the triangle C P N, 
 are given the side P N 53.18, and the angle at C 60 20', to 
 find the hypothenuse C N. 
 
 As sine P C N 60 20' - - 9.938980 
 
 :sidePN53.18 - - - 1.725748 
 
 : : radius .... 10.000000 
 
 11.725748 
 9.938980 
 
 : hyp. ON 61.2 - 1.78676& 
 
 Thus the dividing line must go from I to a point on the 
 line C D, which is 61.2 rods from C. The bearing and dis- 
 tance of this line may be found by the directions given above 
 for finding the bearing and distance of the line C I. Or, they 
 may be found by oblique trigonometry, CASE III. 
 
 ANOTHER METHOD OF FINDING THE DISTANCE C N. 
 
 Having ascertained the latitude and departure of the line 
 C I, set them down in a traverse table ; find the latitude and 
 departure of the line C D, and place them in the table; the 
 difference between the northing of the line I C, and the 
 southing of the line C D, will be the southing of the line D I, 
 viz. 6.6 ; and the sum of the eastings of those lines, as they 
 are both easterly, will be the westing of the line DI, viz. 
 123.9. Proceed to calculate the area of the triangle I C D f 
 which will be found to be 6522 rods, nearly. 
 
 NOTE. As in this triangle two sides and their contained angle are 
 given, the area may be found by PROB. IX. Rule 4. page 42. 
 
SURVEYING. 79 
 
 Having found the area of this triangle, proceed to find 
 C N according to PR OB. II. page 75, as follows : 
 
 As the area of the triangle ; is to C D the base ; so is the 
 quantity to be contained in the triangle I C N ; to C N, its pro- 
 portion of the base. 
 
 As 6522: 115: : 3470 : 61.19. 
 
 A THIRD METHOD OF FINDING THE DISTANCE C N. 
 
 To the logarithm of double the area to be contained with- 
 in the triangle I C N, add radius ; from this sum substract the 
 logarithmic sine of the angle at C ; and from the remain- 
 der substract the logarithm of the side 1C ; the last remainder 
 will be the logarithm of the side C N. 
 
 The double area of the triangle I C N, is 6940 ; the angle 
 at C is 60 20' ; the side I C is 130. 
 
 Double area 6940 - - 3.841359 
 
 Radius - - - 10.000000 
 
 13.841359 
 Sine I C N 60 20' - 9.938980 
 
 3.902379 
 Side 1C 130.5 - - - 2.115544* 
 
 Side CN 61.21 - - 1.786835 
 
 NOTE. Radius may be added by placing a unit before the index of 
 the logarithm for the double area, without the trouble of setting 
 down the ciphers. 
 
 BY NATURAL SINES. 
 
 Divide the double area by the natural sine of the given 
 angle, and that quotient by the given side ; the last quotient 
 will be the side C N. 
 
 Nat. sine of the angle at 6 60 20' 0.86892 
 
 6940-0.86892=7986.92 
 
 7986.92-^-130.5=61.2 
 
 * The log. of I C, as found by calculation on page 77, is employed, 
 instead of taking from the tables, that of 130.5, which is not the exact 
 length of I C. ED. 
 
80 SURVEYING. 
 
 From the above the following general rule may be drawn. 
 
 To FIND- THE. SIDE OF A TRIANGLE WHEN THE AREA IS 
 GIVEN, AND ALSO ONE OF THE SIDES, AND THE ANGLE CON- 
 TAINED BETWEEN THE GIVEN SIDE AND THE SIDE REQUIRED. 
 
 To THE LOGARITHM OF DOUBLE THE AREA ADD RADIUS J 
 FROM THIS SUM SUBSTRACT THE LOGARITHMIC SINE OF THE 
 GIVEN ANGLE, AND FROM THE REMAINDER SUBSTRACT THE 
 LOGARITHM OF THE GIVEN SIDE J THE LAST REMAINDER 
 WILL BE THE LOGARITHM OF THE SIDE REQUIRED. 
 
 OR, BY NATURAL SINES I DIVIDE THE DOUBLE AREA 
 BY THE NAT. SINE OF THE GIVEN ANGLE, AND THAT QUOTI- 
 ENT BY THE GIVEN SIDE J THE LAST QUOTIENT WILL BE 
 THE SIDE REQUIRED. 
 
 CONCLUDING REMARKS. 
 
 Other methods of surveying- fields are taught by some 
 authors on this subject. The preceding, however, will be 
 found most useful in actual practice. Other instruments be- 
 sides those mentioned in this book ar.e sometimes used; such 
 as the plain table, semicircle, perambulator, theodolite, &c. 
 But of these instruments very little use is made in New 
 England ; and they are not often to -be met with. For gene- 
 ral practice, none will be found more useful than a common 
 chain, and a compass upon Rittenhouse's construction. 
 
 It will be observed that in this work there is no descrip- 
 tions of mathematical and surveying instruments. The com- 
 piler omitted such descriptions, from a belief that nothing 
 which can be written on the subject will enable a person to 
 understand them, without an actual inspection of the instru- 
 ments themselves, and some instruction from those acquainted 
 with them. 
 
 ; The general principles here taught may be applied to the 
 surveying of townships, roads, rivers, harbours, &c. 
 
APPENDIX. 
 
 OF THE DECLINATION AND VARIATION OF THE MAGNETIC 
 NEEDLE, AND OF THE ATTRACTIONS TO WHICH IT IS 
 SUBJECT. 
 
 THE declination of the needle is the number of degrees it 
 deviates from the true north, either east or west. This dif- 
 fers in different places, and in the same place at different 
 times. [At Hartford, Conn., the declination was, in 1829, 6 
 3' west of the true meridian of the earth ; and was increasing 
 by an annual variation of about 3'.] 
 
 The following method of ascertaining the variation, by the 
 north star, has been adopted by many surveyors, as the most 
 eligible to be practised on land. It was communicated to 
 the compiler by Moses Warren, Esq., of Lyme, an experi- 
 enced surveyor, with permission to publish it. 
 
 The star, commonly called the north star, is not directly 
 north, but revolves round the pole in a small circle, once in 
 24 hours.* It can therefore be due north only twice in that 
 period ; and that is within a very few minutes of the time, 
 when a star, called Alioth, in the constellation of Ursa ma- 
 jor, or the great bear, is directly over or under it. There is 
 also another star nearly in an opposite direction from the 
 pole, called Gamma, in the constellation of Cassiopeia. 
 When these three stars are vertical, the north star is very 
 near the meridian ; and when they are horizontal, it is at its 
 greatest elongation, that is, at its greatest distance east or 
 west of the pole, and on the same side as the star in Cassio- 
 peia. The variation may be calculated when the star is on 
 the meridian, or when at its greatest elongation ; more accu- 
 rately, however, at the latter period, because its motion be- 
 
 * More exactly, 23 hours, 56 minutes, and 4 seconds. Enr 
 8 
 
0*A APPENDIX. 
 
 ing then nearly vertical for some time, gives the observer 
 opportunity to complete 'his observation.* 
 
 To find the elongation of this star in any latitude, its de- 
 clination must be known : that is, its distance north of the 
 equator. This being found, institute the following pro- 
 portion : 
 
 As co-sine of the latitude; is to radius ; so is co-sine of the 
 declination; to sine of the elongation. f 
 
 The declination of the north star, January 1, 1810, was 
 88 17' 28", and increasing at the rate of about 19 seconds 
 and one half annually. 
 
 In the following table, the elongation is calculated for ten 
 successive years, ending with 1840, and for seven different 
 latitudes. The calculation is made for the first of July, and 
 of course gives the mean angle for the year. 
 
 TABLE SHOWING THE ELONGATION OF THE NORTH STAR. 
 
 Years 
 
 32 
 
 34 
 
 36 
 
 38 
 
 40 
 
 42 
 
 44 
 
 1831 
 
 l52i' 
 
 155' 
 
 l58i' 
 
 2 If 
 
 2 5' 
 
 2 9' 
 
 2 13' 
 
 1832 
 
 52 
 
 1 54i 
 
 58 * 
 
 2 \ 2 
 
 2 41' 
 
 2 81 
 
 2 12f 
 
 1833 
 
 51i 
 
 1 54* 
 
 57i 
 
 9 01 
 6 U. 2 
 
 2 4* 
 
 2 8" 
 
 2 12f 
 
 1834 
 
 51 
 
 1 53i 
 
 57 
 
 
 2 4 
 
 2 7-i 
 
 u 
 
 2 12* 
 
 1835 
 
 50i 
 
 1 53 
 
 56i 
 
 1 59" 
 
 2 3 
 
 2 6i 
 
 2 11 
 
 1836 
 
 50 
 
 1 52i 
 
 56 
 
 1 58 
 
 2 2i 
 
 2 6 
 
 2 lOi 
 
 1837 
 
 50^ 
 
 1 52 
 
 55i 
 
 B 
 
 2 2 
 
 2 5~V 
 
 2 10 
 
 1838 
 
 50 
 
 1 52i 
 
 55 
 
 1 58 
 
 2 li 
 
 2 5~ 
 
 2 9i 
 
 1839 
 
 1 49i 
 
 1 52 
 
 54i 
 
 1 57i 
 
 2 1 
 
 2 4i 
 
 2 9 
 
 1840 
 
 1 49 
 
 It 
 
 54 
 
 1 57 
 
 2 Oi 
 
 2 4 
 
 2 8 
 
 * The following figure exhibits a view of tne relative situation of 
 these stars, as they appear, when in a horizontal position; or when the 
 north star is in its greatest eastern elongation. 
 
 The Great Bear. 
 
 Cassiopeia. 
 
 Alioth 
 
 N. Star. 
 
 * 
 
 Gamma * 
 
 t This angle is usually called azimuth, ED. 
 
APPENDIX. 83 
 
 The elongation for the latitude of the observation being 
 calculated or taken from the above table, proceed to find its 
 range according to the following directions : 
 
 Take a pole, 18 or 20 feet in length ; to the end of it fasten 
 a small line; raise it to an elevation of 45 or 50 ; and sup 
 port it by two crotches of suitable height, to keep it firm in 
 its place. At the end of the line, near the ground, fasten a 
 weight of half a pound or more, which should swim in water 
 to prevent the air from moving the line. Southward of the 
 line fix a compass sight, or other piece of metal or wood, with 
 a narrow, perpendicular aperture, at a convenient height from 
 the ground, say about 2 or 21 feet ; and'let it be so fixed that it 
 can be moved a small distance east or west at pleasure. Let an 
 assistant hold a light either N. E. or N. W. of the line, near- 
 ly as high as the range from the sight to the north star, in 
 such a position that the line may plainly be seen ; then, (the 
 three stars above mentioned being parallel, or nearly so, with 
 the horizon,) move the sight-vane east or west, until, through 
 the aperture, the line is seen to cut the star ; and continue to 
 observe, at short intervals, till the star is seen at its greatest 
 elongation. Let a lighted candle be placed in an exact range 
 with the sight-vane and line, at the distance of 20 rods or 
 more, which should stand perpendicularly, be made fast, 
 extinguished, and left till morning. Then the sight-vane, 
 the line, and the candle, will be the range of elongation, 
 which observe accurately with a compass ; and if the elon- 
 gation be east and the variation west, the former must be sub- 
 stracted from the latter ; and if they are both west, they must 
 be added, and their difference or sum will be the true 
 variation.* 
 
 OF THE ATTRACTION OF THE NEEDLE. 
 
 It is well known that any iron substance has an influence 
 upon the magnetic needle, attracting it one way or the other 
 upon the point where it would settle, were there no such at- 
 traction. A surveyor should therefore be careful to see that 
 no iron is near the compass when taking a bearing. But as 
 the earth, in certain spots, contains, near its surface, iron, or 
 other minerals, which attract the needle, it will frequently 
 
 * The author, in common with many writers, employs the term va- 
 riation, as synonymous with declination. Variation is properly, how* 
 ever, the change of declination. ED. 
 
84 APPENDIX. 
 
 happen that it will point wrong. To ascertain whether this 
 is the case, the surveyor, at each station, should take a back 
 view of the one last left ; and if he finds that the compass 
 does not reverse truly, he may be sure, provided the compass 
 be accurately graduated and placed horizontally, that he either 
 made a mistake at the last station, or that in one or the other, 
 or both of the stations, the needle was attracted from the 
 true point. When he finds a place where he suspects there 
 is an attraction, he should go a few rods backward or forward, 
 and see whether the needle points differently. In this way 
 he may prevent mistakes in his field notes, which would arise 
 from putting down a wrong course. To take back sights is 
 particularly necessary in running long lines, and laying out 
 new lands, where the needle is the only thing to guide the 
 surveyor. 
 
 By practice and experience, a knowledge will be acquired 
 on this subject, and with regard to many other things in sur- 
 veying, which cannot be taught by books ; and after all the 
 directions which can be written, the practitioner will frequent- 
 ly find occasion for the exercise of his own judgment. 
 
 A RULE TO FIND THE DIFFERENCE BETWEEN THE PRE- 
 SENT VARIATION OF THE COMPASS, AND THAT AT A TIME 
 WHEN A TRACT WAS FORMERLY SURVEYED, IN ORDER TO 
 TRACE OR RUN OUT THE ORIGINAL LINES. 
 
 Go to any part of the premises, where any two adjacent 
 corners are known ; and if one can be seen from the other, 
 take their bearing ; which, compared with that of the same 
 line in the former survey, shows the difference. But if one 
 corner cannot be seen from the other, run the line according 
 to the given bearing, and observe the nearest distance be- 
 tween the line so run, and the corner ; and then work the 
 following proportion : 
 
 As THE LENGTH OF THE WHOLE LINE, 
 
 Is TO 57.3 DEGREES,* 
 
 So IS THE SAID DISTANCE, 
 
 To THE DIFFERENCE OF VARIATION REQUIRED. 
 
 EXAMPLE. 
 
 Suppose it be required to run a line, which, some years 
 ago, bore N. 45 E., distance 20 chains, and in running this 
 
 * 57.3 degrees is the radius of a circle (nearly) in such parts that the 
 circumference contains 360. 
 
APPENDIX. 85 
 
 line by the given bearing-, the corner is found 20 links to the 
 left hand; what is the present bearing of this line? 
 
 Ch. Deg. L. 
 
 As 20 : 57.3 : : 20 
 100 20 
 
 2000 1146.0 
 60 
 
 2000)68760(34 Minutes. 
 
 Answer 34 minutes to the left hand is the allowance re- 
 quired, and the line in question bears N. 44 26' E. 
 
 The compiler of this work acknowledges himself under 
 obligations to George Gillet, Esq., Surveyor General of the 
 state of Connecticut, for the following illustrations, remarks, 
 and miscellaneous questions, considering them calculated to 
 be useful to the learner, and the practical surveyor. 
 
 PRACTICAL TRIGONOMETRY. 
 
 The learner must understand decimals, and the nature and 
 use of logarithms, before he can make any proficiency in 
 this branch. Difference of latitude is the distance between 
 the parallels of the beginning and of the terminating point 
 of a line, or of any number of lines, whether northerly or 
 southerly. Departure is the distance between the meridians 
 of the beginning and of the terminating point, or the dis- 
 tance made either east or west from any particular meridian 
 on any course. 
 
 These distances are also called northings or southings, 
 eastings or westings, as different cases may happen. 
 
 When a course and distance are given, the distance is the 
 hypothenuse of a right angled triangle, of which the latitude 
 and departure are the legs. The angle which the course 
 makes with the meridian, is opposite to the departure. Sub- 
 stract the course from 90, and the remainder will be the 
 quantity of the angle opposite to the latitude. 
 
 8* 
 
APPENDIX. 
 
 CASE 
 
 In the annexed triangle, the 
 side A C, is given N. 40 W. 50 
 rods. The latitude and departure, 
 or the northing and westing, a 
 required. 
 
 A B is a meridian, or a north 
 and south line. The angle at A 
 contains 40, and that at C, 50, as 
 appears by their respective arches. 
 B C, is an east and west line, of 
 course the angle at B contains 90, 
 or it is a right angle. A C is made radius. From the point 
 at A, the arch C a is described. From the point at C, the 
 arch A z is described. B C is the sine of the angle at A, or 
 of the arch C a, and A B is the co-sine. A B is the sine of 
 the angle at C, or of the arch A z, and B C is the co-sine. 
 Sines and co-sines lie within their respective arches. Each 
 side is proportioned to its opposite angle, and each angle to its 
 opposite side. 
 
 TO FIND THE REQUIRED SIDES, TAKE THE FOLLOWING RULE. 
 
 For the latitude, make radius, the angle at B, the first 
 term, the logarithm of the side A C 50, the second ; the 
 sine of the angle at C, the third, and the fourth will be the 
 logarithm of the latitude A B. For the departure, take the 
 same first and second terms, the sine of the angle at A for 
 the third % and the fourth will be the logarithm of the de- 
 parture B C. 
 
 SEE THEM WORKED : 
 
 As radius, - 10.000000 
 : side AC, 50 rods, 1.698970 
 :.;sineofC, 50, 9.884254 
 
 Radius, 
 
 11.583224 
 10.000000 
 
 .Latitude 38.30 rods, 1.583224 
 
 As radius, - 10.000000 
 : side A C, 50 rods, 1.698970 
 : : sine of A 40, 9.808067 
 
 Radius, 
 
 11.507037 
 10.000000 
 
 :departure,32.14rods,1.507037 
 
APPENDIX. 
 
 87 
 
 Required the latitude and departure of S. 28, W. 88 rods. 
 As radius - 10.000000 As radius, - 10.000000 
 
 : distance 88, logarithm, 1.944483 
 : : cosine of course 28 9.945935 
 
 11.890418 
 10.000000 
 
 : latitude, 77.70, 
 
 1.890418 
 
 : distance, 88 rods, 
 
 1.944483 
 
 : : sine of the course 28 9.671609 
 
 : departure, 41.31, 
 
 11.61609-2 
 10.000000 
 
 1.616092 
 
 Required the latitude and departure of N. 75, E. 245 rods. 
 
 As radius, - 10.000000 
 
 . distance 245, - 2.389166 
 
 : : co-sine of course, 75 9.412996 
 
 latitude, 63.41, 
 
 11.802162 
 10.000000 
 
 1.802162 
 
 As radius, 
 
 : distance, 245, 
 
 : : sine of the course 
 
 : departure, 236.65, 
 
 10.000000 
 2.389166 
 9.984944 
 
 12.374110 
 10.000000 
 
 2.374110 
 
 The logarithm of the distance may be set down in two 
 places ; and the sine of the course may be placed under 
 one, and the co-sine under the other, and when they are 
 added, the unit at the left hand, in each case, may be cancelled, 
 which will be the same as subtracting radius. 
 
 CASE II. 
 
 Fig. 2. 
 
 ISO 
 
 Suppose you run north from A to B, 220 * 
 rods; then east 150 rods to C. What is 
 your course and distance from C to A? 
 First find the course. In this case, make 
 the side A B radius. With your dividers 
 on the point at A, describe the arch Ba, 
 then on the point at C, describe the arch 
 B z. In describing the last arch B C is 
 made radius. Each arch contains as ma- 
 ny degrees as its opposite angle. 
 
 As the sides AB and B C, both lie without their respective 
 arches, they are tangents. B C is the tangent of the angle at 
 A, or of the arch B a, and A B is the co-tangent. A B is the 
 tangent of the angle at C, or of the arch B z, and B C is 
 the co-tangent. 
 
88 
 
 APPENDIX. 
 
 NOTE. When an angle is required, a side must be the first term. 
 When a side is required, an angle must be the first term. 
 
 To find the course from C to A, Fig. 2, adopt the follow- 
 ing rule. 
 
 Suppose yourself standing at the angle A ; make the side 
 A B radius, then state : as the log. of the side A B 220 ; is to 
 radius ; so is the log. of the side B C, 150, to the tangent of 
 the angle at A. See the example worked. 
 As log. of A B, 
 
 2202.342423 : R. 10,000000 : : log. B C, 1502.176091 
 2.176091 
 
 12.176091 
 2.342423 
 
 : Tang, of A 34 17' 9.833668 
 
 In the column of tangents, under 34 against 17', you will 
 find the last term, or that which is nearest to it. The course 
 from A to C is N. 34 17' E., or from C to A, S. 34 17' W. 
 Next find the distance. 
 
 CASE III. 
 
 TO FIND THE DISTANCE. 
 
 Make the side A C radius. From the 
 point at A describe the arch C x. In 
 this case, the side B C is a sine, as it 
 lies within the arch. Take the follow- 
 ing rule. 
 
 As the sine of the angle at A, is to 
 the side B C, so is radius to the side 
 A C. See the example worked. 
 
 As sine of A 34 17' 
 : side B C, 150, 
 : : radius, 
 
 A 
 
 9.750729 
 
 2.176091 
 
 10.000000 
 
 12.176091 
 9.750729 
 
 side A C, 266.3 
 
 2.425362 
 
APPENDIX. 
 
 Suppose you begin at a pine, and run north 125 rods to a 
 hemlock, then east 216 rods to a spruce, what is the course 
 and distance from the spruce to the pine ? By CASE II. find 
 the course, and by CASE III. the distance. Suppose your- 
 self standing at the pine, and making the northing radius, 
 the proportion will be, 
 
 As 125, 2.096910 
 
 : radius, 10.000000 
 
 :: 216.5 2.335458 
 
 12.335458 
 2.096910- 
 
 : tang, at the pine, 60, 10.238548 
 
 The course from the spruce to the pine is S 60 W. 
 
 NOTE. As the easting is greater than the northing, the course is over 
 45, therefore look at the bottom of the page to find it. 
 
 To find the distance from the spruce to the pine, make 
 that side radius? and the proportion will be, as the sine of 
 the angle at the pine ; is to the easting; so is radius to the 
 distance required : or, as the sine of the angle at the spruce : 
 is to the northing ; so is radius to the distance from the spruce 
 to the pine. 
 
 As sine at the pine 60 9.937531 
 : the easting -216.5, 2.335458 
 
 : : radius 10.000000 
 
 12.335458 
 9.937531 
 
 required dist. 250 rods, 2.397927 
 
 As sine at the spruce 30 9.698970 
 : northing, 125, 2.096910 
 
 : : radius, 10.000000 
 
 12.096910 
 9.698970 
 
 : required dist. 250 rods, 2.397940 
 
 The following courses and distances of a survey are giv- 
 en, and the course and distance of the closing line are re- 
 quired. 
 
 Beginning at a maple tree, thence running as follows: 
 S. 80 W. 90 rods, N. 15 W. 95 rods, N. 85 E. 45 rods, 
 S. 10 E. 40 rods, N. 85 E. 42 rods, to a beech tree. First, 
 arrange the given courses and distances in a table, having a 
 blank line for the course, distance, latitude, and departure of 
 the closing line. Find by the traverse table the latitude and 
 departure of each course and distance, and insert them in 
 their respective columns as follows : 
 
90 
 
 APPENDIX. 
 
 No. 
 
 Courses. 
 
 Dist. 
 
 N. 
 
 S. 
 
 E. 
 
 W- 
 
 I 
 
 S. 80 AV. 
 
 90.0 
 
 
 15.63 
 
 
 88.63 
 
 2 
 
 N. 15 W. 
 
 95.0 
 
 91.76 
 
 
 
 24.59 
 
 3 
 
 4 
 
 N. 85 E. 
 
 45.0 
 
 3.92 
 
 1 44.83 
 
 
 S. 10 E. 
 
 40.0 
 
 
 39.39 | 6.95 
 
 
 5 
 
 N. 85 E. 
 
 42.0 
 
 3.66 
 
 
 41.84 
 
 
 
 
 
 
 44.32 
 
 19.60 
 
 
 
 
 99.34 
 
 99.34 '113.22 
 
 113.22 
 
 Substract the sum of the southings from that of the north- 
 ings, and 44.32 will remain to fill the blank in the column 
 of southings. Also, substract the sum of the eastings from, 
 that of the westings, and 19.60 will remain to fill the blank 
 in the column of eastings. 
 
 These numbers or distances are the legs of a right angled 
 triangle, the hypothenuse of which is the closing line. 
 
 You are now standing at the beech tree. Make the 
 southing radius, and to find the course, the proportion will be, 
 
 As the southing 44.32, 
 
 : radius, 
 
 : : the easting 19.60, 
 
 1.646600 
 
 10.000000 
 
 1.292256 
 
 11.292256 
 1.646600 
 
 : : tangent of the course, 23 51' 9.645656 
 
 The course of the closing line is S. 23 51' E. which 
 may fill the blank in the column of courses. 
 
 To find the distance, make the line from the beech to the 
 maple, or the closing line, radius, and the easting will be a 
 sine, then state, 
 
 
APPENDIX. 91 
 
 As the sine of the course 23 51' 9.606751 
 : the easting, 19.60. 1.292256 
 
 : : radius, 10.000000 
 
 11.292256 
 
 9.606751 
 
 
 
 : the distance, 48.48 rods, 1.685505 
 
 The distance is 48.48 rods, which may be entered in the 
 blank space in the column of distances, and the survey will 
 be complete. 
 
 In the table of logarithms, against 484, in the column un- 
 der 8, the last term, or the logarithm which is nearest to it, is 
 found : 8 must be annexed to 484, and as the index is a unit, 
 or 1, the two left hand figures are integers, and the others are 
 decimals. 
 
 Former editions of this work contained several cases in 
 Rectangular Trigonometry, which depended on secants for 
 solution, but as secants are not retained in the tables which 
 accompany this edition, those cases are also excluded from 
 it. In Practical Surveying, no case will occur, which cannot 
 be solved by these tables, nor can one occur, which depends 
 on a solution by Rectangular Trigonometry, and which can- 
 not be solved by the cases here treated of; therefore, secants 
 are of no use to the practical surveyor. 
 
 Young learners meet with much perplexity in giving de- 
 cimals their proper places when calculating latitudes and de- 
 partures by inspection from the traverse table. This sub- 
 ject claims some attention. 
 
 What is the latitude and departure of N. 84 E. 70 rods 
 and 2 links ? 
 
 The distance is 70.08 rods. The decimal is 8.100 of a 
 rod. Over 84 in the traverse table against 70, the lat. is 
 7.32, and the dep. is 69.62. 
 
 Against 8 r over latitude is 0.84, so nigh a unit that one 
 may be added to the second decimal in the lat., and over dep. 
 is 7.98, so near 8 that that number may be added to the see- 
 ond decimal in the departure. Ans. lat. 7.33, dep. 69.70. 
 
 When a course departs 10 from a meridian, and it is re- 
 quired to add the lat. and dep. of 10 links or .40 of a rod to 
 the lat. and dep. of the number of rods contained in the dis- 
 tance; under 10 against 40, the lat. is 39.39, and the dep. is 
 6.95. As the two right hand figures of the latitude are un- 
 der 50, they may be rejected, and as the two right hand fig- 
 
92 APPENDIX. 
 
 ures of the dep. are over 50, a unit, or 1, may be added to the 
 left hand figure and the two last rejected, and the answer 
 will stand, lat. .39, dep. .07. If the decimal is called 4 tenths, 
 the separating point in both lat. and dep. may be carried over 
 one figure, towards the right, adding a unit to the dep., and 
 the right hand figure in each rejected, and the result will be 
 the same. 75, 5 links or 2 tenths; lat. 0.52, dep^l.QS; carry 
 over the point, lat. .05 ; dep. . 19. 65, five links or two tenths, 
 lat. 0.85, dep. 1.81. lat. .08, dep. .18. 81, 15 links orGtenths, 
 lat. 0.94, dep. 5.93; lat. .09, dep. .59. 28, 2 links or 8-100, 
 lat. .07, dep. .04. 7, 15 1. or tenths, lat. 60, dep. .07. 
 
 What is the latitude and departure on N. 10, E. 6.5 rods? 
 
 This need not be taken by two inspections, one for the in- 
 teger and another for the decimal, but under 10, against 65, 
 the latitude is 64.01, and the departure is 11.29. 
 
 The separating point may be placed between the two first 
 figures in each, and as the fourth figure in the departure is 9, 
 a unit may be added to the third, the fourth figure in each 
 may be omitted, and the latitude is 6.40 rods, and the depar- 
 ture is 1.13 rods. 
 
 PRACTICAL SURVEYING. 
 
 EXPLANATION OF THK COMPASS, WITH DIRECTIONS HOW TO 
 USE IT, AND HOW TO PROVE THE ACCURACY OF IT. 
 
 In surveying, each angular point is considered the centre 
 of a circle divided into 360 equal parts, called degrees. 
 
 The circle is also divided into four equal parts, called 
 quadrants, by north and south, an'l east and west lines, cross- 
 ing each other at right angles on the centre. Each quadrant 
 is divided into nine equal divisions, and each division con 
 tains ten degrees. 
 
 The following figure represents the card, or the graduation 
 of the compass. 
 
APPENDIX. 
 
 93 
 
 At the centre is the pivot or centre-pin on which the needle 
 turns. The compass is fixed on the head of a stafTi and it 
 may be directed to any object on any course whatever, 
 while the needle retains its polarity. Courses are counted 
 either east or west from their respective meridians. To be 
 more explicit, the angle which a course makes with its me- 
 ridian, is written north or south, so many degrees east or west. 
 
 Fix the above circle to the four cardinal points, and sup- 
 pose your course runs from the centre through the point 40, 
 to the right of N. ; the direction of it is N. 40 E.. or in the 
 opposite direction S. 40 W. To take this course, turn the 
 north end of the compass to the object at the terminating 
 point of the line. This will turn the point 40 at the left of 
 N. directly against the north end of the needle, then count 
 the degrees from N. to the north end. 
 
 Suppose your course runs from the centre through the 
 point 80 below W., the direction of it is S. 80 W., or in the 
 opposite direction N. 80 E. To take this course, turn the 
 south end of the compass to the object, and the point 80 
 above W., will be at the north end of the needle, and that at 80 
 below E. at the south end of it. In like manner take all 
 other courses. 
 
 9 
 
 
94 APPENDIX. 
 
 In some compasses which are sufficiently correct for field 
 surveying, when one end of the needle settles at any degree, 
 the other end will not settle exactly against the same degree 
 on the opposite side. Even compasses of the first rate, when 
 they are not well levelled, are liable to this error. There- 
 fore, all courses should be taken from the same end of the 
 needle, which may be the north end. For example, sup- 
 pose your course is southeasterly or southwesterly, direct 
 the compass .to the object, and at whatever degree the north 
 end of the needle settles, enter it in your field book, even 
 if the south end differs a few minutes from that degree. 
 Also keep the same end of the compass northerly and 
 southerly on courses in that direction, and the same end 
 easterly and westerly in the latter direction.* 
 
 By following these directions, the survey will be taken 
 more correctly, than when the ends of the compass are fre- 
 quently changed, and the northerly courses are taken by the 
 north end of the needle, and the southerly courses by the 
 south end of it. 
 
 When a needle is well magnetized, the inside of the cap 
 smooth, and the centre-pin nicely pointed, the needle will 
 traverse lively and long: but before it stops at the true point, 
 will have an almost imperceptible tremulous motion. 
 
 When the needle settles quick, by giving the compass or 
 the staff a light rap, ,it will commonly move a little,, some- 
 times a quarter, a half, or a whole degree. This is certain 
 evidence that something is out of order. Either the needle 
 is not well magnetized, the inside of the cap is rough, or the 
 centre-pin is blunt, which causes friction. The centre-pin 
 ought to be as nicely pointed as a fine sewing-needle. 
 Whether the compass is in order or not, the rap should be 
 given after the needle has settled. 
 
 The centre-pin is the part of a compass which fails first 
 The point is easily broken or blunted, and is always in dan- 
 ger. When the point is - injured, it is not easily renewed so 
 as to be equal to its first state. Therefore, too great care 
 cannot be taken 'of a good compass. 
 
 When a new compass is procured, it may be recommended 
 to have one or more extra centre-pins with it, that when one 
 fails another may be in readiness. 
 
 To prove the accuracy of a compass, set each end of it to 
 some distant object at every ten degrees around the circle. 
 If, in every instance, each end of the needle settles at the 
 
 * This practice has been recommended by the most celebrated ma- 
 thematical instrument makers. 
 
APPENDIX. 95 
 
 same degree on the opposite side, the compass is accurate, 
 and is of the first rate ; but if there should be. found a differ- 
 ence of -five minutes on a part or around the whole circle, the 
 compass would be considered as one of the second rate, and 
 by following the foregoing directions, a survey might be 
 taken with it to a good degree of accuracy. 
 
 A compass which does not come within one or the other of the 
 foregoing descriptions, ought not to be used on valuable land. 
 
 When a compass is not in use, it should be placed where 
 it can have no motion, and the needle should be left oh the 
 centre-pin. By keeping its polarity, the magnetic power of 
 the needle will strengthen rather than weaken. 
 
 Compasses differ in their directions. Those of the first 
 rate have been known to vary within the space of a quarter 
 or a third of a degree, when no defect could be discovered in 
 the mechanical part of them. As correct a survey may be 
 taken with one as with another of this description. The ques- 
 tion then naturally arises, which of these varying compasses is 
 right ? The answer is, all are right ; neither of them points 
 directly to the poles of the earth, except on the line of no de- 
 clination.* All that can be said of them is, that one makes a 
 greater declination than another, and that which makes the 
 least, cannot have the preference. It has also been ascertained, 
 that different needles do not point alike at the same place. 
 French writers on magnetism have treated on this subject. 
 
 It was well known to the celebrated Rittenhouse, that his 
 compasses did not agree, and he was never satisfied as to the 
 cause of it. To remedy this defect, if it can be called a defect, 
 he constructed his compass with a nonius, or vernier scale, (as 
 some term it,) that all of them might be so regulated by a 
 meridian as to agree. The meridian should be established by 
 the motion of the heavenly bodies, and made permanent by 
 durable monuments. All courses, which are matters of re- 
 cord, ought to be taken from the true, instead of the magnetic 
 meridian. Such meridians should be established at conve- 
 nient distances from each other, so that, whenever a survey is 
 to be taken in the vicinity of one of them, a surveyor might 
 set his compass on it, and note the declination found, and that 
 declination, together with the meridian from which it was 
 taken, should be inserted in the deed, or instrument, by which 
 the land is conveyed, and should be a part of the record. This 
 would assist a surveyor, at any future period, in retracing 
 those lines, by setting his compass on the same meridian, and 
 
 * As compasses differ in their direction, they will differ in locating 
 this line. 
 
96 APPENDIX. 
 
 allowing the difference in declination since the preceding sur- 
 vey. This would tend greatly to the security of landed prop- 
 erty, and it is the only method by which magnetic courses 
 can be regulated. Without this regulation, one correct com- 
 pass may be used to as good advantage as another. So Dr. 
 Rittenhouse viewed the matter : so the common practice of the 
 country has established it. 
 
 No. II. 
 
 ON THE IRREGULARITIES OF THE MAGNETIC NEEDLE. 
 
 By a statute of this state, applicants for the appointment of 
 county surveyor, are required to be well skilled, in point of 
 science, in the theory of the most approved method of survey- 
 ing lands. It is also as necessary that they should be as well 
 skilled in practical surveying. Practical knowledge must be 
 acquired by experience, but no one can have a thorough 
 knowledge of correct practice, without being acquainted with 
 the imperfections of the magnetic needle. 
 
 It is supposed, by most people, that this instrument, in all 
 places, points directly to the poles of the earth, and that its 
 direction remains as permanent as the poles themselves, an 
 infallible guide.* This is a mistaken idea. A few remarks 
 on this subject will here be offered, and some facts respecting 
 it stated. 
 
 '" * Ther^osj3iiaIin^Liimdlhe.glial2e on which there is no. declination. 
 The general course of this line, on this side of the glebe, is from north- 
 west to southeast, but it is crooked and irregular in its course. This line 
 is not stationary, but is ever changing its position, and notwithstand- 
 ing the great variety of its directions, it never crosses itself. According 
 to Dr. Holly's chart, made in 1700, this line crossed the meridian of 
 London in 55 south latitude, crossed the equator in 17 west longitude ; 
 from thence by various windings to the island of Bermuda; from 
 thence nearly a west course, until it struck the continent near Charles- 
 ton, in South Carolina. 
 
 About 1750, another chart was made, when the line had fallen so far 
 to the west", that it struck the continent near the coast of Florida. On 
 the east side of this line, the magnetic needle points to the west of north, 
 and on the west side, it points to the east of north, and a regular increase 
 of either east or west declination is found from it on its opposite sides. 
 
 The line of no declination now runs through Pennsylvania, and 
 \ through the eastern part of Virginia and of North Carolina, and it 
 \leaves the coast at Cape Hatteras.t 
 
 * At New Orleans, in 1813, the declination was east about eight de- 
 grees. The same year, an article appeared in a Philadelphia paper, 
 from which the following was extracted : 
 
 At Philadelphia, " 1701, declination 8 30' W.j in 1793, 1 3<y W.; 
 
 t Capt. Phillips. 
 
APPENDIX. 97 
 
 Notwithstanding the utility of the magnetic needle, it cannot 
 be relied on, when great accuracy is required, on account of 
 the irregularities to which it is subject, viz., its annual and di- 
 urnal variations, and, what is the cause of still greater per- 
 plexity, its local attractions. When an old course is given to 
 renew a line, it cannot be depended on, on account of the 
 change in declination, between the time of the first running, 
 and the renewal of it. 
 
 179-1, the needle was observed to recede to the west; 180i, 2 W. ; 
 1813, 2 3 27/ W. ;" and the west declination was then increasing. Ac- 
 cording to observations made at Albany, by the late M^DeWitt, Sur- 
 veyor General of the State of New York,t for mariy^ye^t^^T^TTe'e 
 hajLdeclined to the wesL^ 
 
 "^""Observations' made at Yale College, New Haven, and by Nathaniel 
 Goodwin, Esq., of Hartford, agree with those of the late Mr. De Witt. 
 
 In June, 1805, the writer commenced observing the declination of 
 the magnetic needle, at Hebron, in Connecticut, and he has continued 
 his observations to the present date, June. 1835. The same compass, 
 with the same needle, has been set at the same place, and to the same 
 object. During that period, the north end of the needle declined to the 
 west l c 20 7 . At the former dale, the declination was 4 50' W. The 
 annual motion of the needle has not been uniformly steady. In some 
 years k was more rapid than in others, and, in one or two instances, 
 for a period of three or four years, none, except the diurnal motion, 
 could be discovered. The west declination is still increasing. 
 
 While at so many places in the northern states, and at many more 
 which might be mentioned, the west declination has increased, at Sa- 
 lem, in Massachusetts, according to the observations of Dr. Bowditch, 
 it has steadily decreased. 
 
 In 1580, at London, the magnetic needle pointed eleven degrees and 
 a half to the east of north, which proves that the line of no declination 
 was then east of that place. 
 
 The east declination diminished until 1G57, when the line of no de- 
 clination arrived there, and passed by; of course, west declination 
 commenced, and at the close of the last century, it had increased to 
 twenty-four degrees. 
 
 The line of no declination must have made rapid progress through 
 the Atlantic, and through a great part of the United States, to have ar- j 
 rived at Charleston in 1700, and at the coast of Florida in 1756. 
 
 It is unaccountable, how the west declination at London should in- 
 crease, while at Philadelphia it diminished, when both places were on 
 the same side of the line of no declination. 
 
 The mystery is solved with equal difficulty, how the west declination ] 
 at Salem should diminish, while at Philadelphia, Albany, New Haven, 
 and at Hartford, it increased. The declination of the needle has long I 
 been a subject of much perplexity. Observations have been made in \ 
 abundance. Many facts have been ascertained, but they are not re- \ 
 ducible to system. 
 
 The polarity of the needle, with its variations and irregularities, is 
 a hidden mystery, which is never to be searched out by man. It is 
 sufficient in i'tself, without any other evidence, to cause the reflecting 
 mind to wonder at, admire, a'nd adore the wisdom, knowledge, and 
 power of HIM, who planned, and who still directs it 
 
 t He died in 1834. 
 
98 APPENDIX, 
 
 No annual rate can be fixed on as a certain rnle for the de- 
 clination of the needle, as its motion is much more rapid in 
 some years than in others. By observations made at London, 
 during a period of more than two hundred years, it appears 
 that, in some years, the motion of the needle was rapid, in 
 others, but little could be discovered, and, in some years, the 
 motion was retrograde. There is no regularity in its motion 
 at any place, for any length of time. 
 
 The diurnal motion of the needle has long been known. 
 As the sun rises in the forenoon, it has an effect on the un- 
 known something which gives polarity to the needle, and turns 
 the north end of it to the west. In the afternoon and night 
 following, the needle returns to its position. Observations for 
 the diurnal motion have been made in abundance, both in Eu- 
 rope and America. The result on both continents has been 
 nearly the same. In summer, about a sixth or a quarter of a 
 degree is usually found. In winter, but very little can be dis- 
 covered. Perhaps, in a hot climate, the diurnal motion may 
 be greater. 
 
 Local attraction is found oftener in hilly, broken lands, fill- 
 ed with ledges, than in level, feasible land, where there are 
 no ledges. As the sources of attraction are generally un- 
 known, and are out of sight, their situation should be deter- 
 mined by experiment. They sometimes cause the needle to 
 deviate more than a degree, and often occasion a more trifling 
 inaccuracy. In some instances, differences have been found, of 
 more than five degrees, within the distance of forty rods. 
 
 Although the magnetic needle is not that infallible guide 
 which most people suppose, yet it is a very useful instrument, 
 and, in our country, cannot be wholly dispensed with in land 
 surveying; but the surveyor who is best acquainted with it, 
 will make as little use of it as he can. 
 
 No. III. 
 
 ON PRACTICAL SURVEYING. 
 
 Surveying is a branch of business; which will admit of dili- 
 gence, but it will not bear to be hurried. Sufficient time must 
 be allowed to take courses, measure distances, and to make 
 calculations correctly, even if the employer does not see the 
 necessity of being so particular. 
 
 In taking a survey, go around with the sun, or keep the 
 land which you survey on your right hand, not that you can 
 work more correctly, or that it will have any effect in plot- 
 
 
APPENDIX. 99 
 
 ing or in calculating, but when you put your courses and 
 distances on your map, they will follow around from the left 
 to the right, as you perform any other writing, and your 
 map will appear to better advantage than when you write 
 against courses and distances. 
 
 Wherever you begin, set your compass on the first angle, 
 and cause a stake or a flag-staff to be erected at the next. 
 
 If the first bound is a rock, erect a stake on it, and set 
 your compass any where between the two stakes, or you 
 may go back of the first angle, and take the range of the 
 stakes. 
 
 When the boundary line is not straight, place the flag at 
 the first angle, and go forward to a convenient place for the 
 next, and take^our course by a back sight. 
 
 When a line is of such a length that you cannot see the 
 end, and do not know the exact direction of it, leave a flag 
 at the beginning, and go forward as far as you can have a 
 fair view of it, and set your compass to the flag. Pursue 
 that course to the end, and if your strike the bound, you 
 need not boast of superior skill, for it will be by accident. 
 A line run in this manner, is commonly termed a random 
 line. 
 
 When the course of a random line is not in a direction to 
 the bound, continue it to a point from which, by turning at a 
 right angle, you will strike the bound, then measure the dis- 
 tance from the end of the random line to the bound, and this 
 distance and the length of the random line will be the legs 
 of a right angled triangle, the hypothenuse of which will be 
 the true distance, and the bearing of the hypothenuse, the 
 true course. 
 
 When the course of a random line is northwesterly or 
 southeasterly, and it strikes to the right of the bound, the 
 angle formed by the true and the random line, must be add- 
 ed to the course of the latter, but if to the left, it must be 
 substracted. 
 
 When the random course is northeasterly or southwester- 
 ly, and it strikes to the right of the bound, the angle must 
 be substracted, but if to the left, it must be added. 
 
 When a line crosses a hill, cause a stake or flag to be 
 erected at each end of it, and set your compass on the top of 
 the hill, directly between them. If bushes or a hedge ob- 
 struct the sight on the line, make an offset at each end, or 
 take the course by a random line. 
 
 When a distant tree near the line can be seen at the be- 
 ginning of it, the bearing of the tree may be taken, and the 
 
100 APPENDIX. 
 
 distance measured, and from the tree to the bound, and the 
 bearing of the bound from the tree, may be taken by a back 
 sight, and the course and distance may be calculated by a 
 traverse. 
 
 EXAMPLE. 
 
 Suppose from the beginning of a line, a tree bears N. 5 
 W. and the distance is 50 rods ; from the tree to the end of 
 the line, is N. 5 E., 50 rods, the course of the line is north, 
 and the distance is 99 rods and 15^ links. 
 
 When a line crosses water which cannot be measured with 
 a chain, cause a stake to be erected on the opposite side, 
 directly in the line. Then turn from the line at right an- 
 gles, and measure until the course on which you ran from 
 the line, and the bearing of the stake, form an angle of 45, 
 then the distance from the angle to the point of turning off, 
 and from that to the stake, will be precisely the same, which 
 may be added to the distance already found. 
 
 If it is not convenient to measure so far as to form an an- 
 gle of 45, stop at any proper distance, and take the bearing 
 of the stake, and having ascertained the angle, calculate the 
 distance across the water by the following proportion. As 
 the sine of the angle at the stake : is to its opposite side : : 
 so is the co-sine of that angle : to the side required. 
 
 EXAMPLE. 
 
 Suppose the bearing of the stake is N. 84 W., you may 
 turn to the right or to the left ; if to the former, your course 
 will be N. 6 E., and if you measure 16 rods, and then take 
 the bearing of the stake, which may be S. 74 W., the angle 
 at the stake will contain 22. State the question as follows - 
 As sine of 22 9.573575 
 
 : 16 rods - 1.204120 
 
 : : co-sine of 22 - 9.967166 
 
 11.171286 
 Sine brou srht down - 9.573575 
 
 : Dist. across the water - 1.597711 39.6 rods 
 
 If it is not convenient to turn from the line at right angles, 
 turn at an acute or an obtuse angle, measure a suitable dis- 
 tance, take the bearing of the stake, and calculate the dis- 
 tance by oblique trigonometry. 
 
APPENDIX. 101 
 
 EXAMPLE. 
 
 Suppose, on the same line you turn and run N. 27 W. 15 
 reds and 3 links, the stake on the opposite shore will bear S. 
 74 W. The angle at the stake will contain 22, that at the 
 point of turning- from the line, 57, of course the other angle 
 will contain 101. In this case, all the angles and the side 
 opposite to that at the stake, are given. The distance across 
 the water may be calculated by the first case of oblique tri- 
 gonometry. 
 
 When a line crosses a ledge too high and too steep to be 
 measured with a chain, whether the ascent or descent is be- 
 fore you, erect # flag at the top of it, take a station at the 
 bottom, and ascertain the distance by the method of ascer- 
 taining it across the -water, which will give the base of the 
 hill from your station to a point directly under the flag. 
 
 In taking courses, on account of local attractions, the com- 
 pass should be set at least twice on each line, even if you 
 have a fair view of the whole length of it. Should there be 
 a difference in the traverse of the compass at the two places, 
 a third should be selected. Should the compass traverse 
 alike at two places, the surveyor may conclude that he has 
 found the true course, but when no two places are found 
 where the compass has the same traverse, the surveyor should 
 enter a medium course in his field book, noting such courses, 
 as he may still have occasion to corre'ct them in his calcu- 
 lation. 
 
 If, in such cases, he is at a loss what course to enter in his 
 field book, and suspects that some minutes may be added to, 
 or substracted frorn the course which he enters, he should 
 prefix to such courses the sign of addition or substraction, as 
 the case may be, which will often assist him in balancing his 
 surveys. It would be no easy matter to describe all the 
 different methods which may be selected in different cases 
 in taking the field work of surveys. An example of only 
 one case will be given here, which is represented by the fol- 
 lowing figure. 
 
102 
 
 APPENDIX. 
 
 \ 
 
 \ 
 
 n 
 
 The survey was be- 
 gun at the corner num- 
 bered 1. The corner 
 numbered 2, was in a 
 pond. The course and 
 distance were taken 
 from 1 to m ; then from 
 m to n. The angle at 
 2 was a right angle ; of 
 course there was a right - 
 angled triangle, where- 
 in the angles and hy- 
 pothennse were given 
 to find the sides m2 and 
 
 2n. From n to 3, the >; *< -g''' 
 
 course and distance 
 
 were taken on the line. The next line ran through a thicket 
 in a swamp. Courses and distances were taken from 3 to s, 
 thence to z, thence to 4, and the course and distance of the 
 line 3 4 were calculated by a traverse from those courses 
 and distances. At the angle 5, a tree stood on a high 
 clump of rocks, inaccessible on either line terminating at 
 that point. The course from 4 to 5 was taken at 4. Next, 
 the course and distance were taken from 4 to a, and from a 
 the course was taken to 5. Next the course and distance 
 were taken from a to 6, and from 6 the course was taken to 
 5. Two oblique triangles, with the angles and one side in 
 each, were given, to find the side 4 5 and 5 6, which give 
 the base of the hill. 
 
 The closing line ran through thick bushes and water, and 
 the course and distance were taken on the dotted line to the 
 line 1 2, at a point twenty rods from 1. The course and 
 (distance of 6 1, were calculated accordingly. 
 
 Whenever a line runs through or over a place where it is 
 difficult to take either course or distance correctly, if, by 
 taking a traverse around, at a little distance from the line, 
 the surveyor can have level, cleared land, and then calculate 
 the true course and distance from the courses and distances 
 of the traverse lines, he will be more likely to ascertain the 
 correct course and distance, than he would by attempting to 
 run on the line. By practice and experience, a method for 
 taking courses and distances, in all cases, will become 
 familiar. 
 
 In a hilly country, the two-pole chain is preferable, and is 
 more commonly used, because it can be better levelled. 
 
APPENDIX. 103 
 
 In measuring hills arid inclined surfaces, the horizontal dis- 
 tance must be taken. A plummet should be suspended from 
 the end of a chain when it is levelled. 
 
 When hills are very steep, the surveyor should assist the 
 chainmen, and when the best is done in levelling and plumb- 
 ing the chain, judgment must frequently be called into exer- 
 cise. 
 
 Even when elevations and descents are easy, there is danger 
 of making too much measure. In such cases, chainmen often 
 make allowances, but the Surveyor will do better to keep them 
 to close measure, and from the shape of the ground, judge what 
 allowances ought to be made. An experienced, judicious 
 surveyor, will form a more correct judgment in such cases, 
 than inexperienced men. 
 
 If a surveyor is acquainted with the rise or descent of hills, 
 the traverse table will aid him. For example, from the sur- 
 face of a hill which rises on an angle of five degrees, one link 
 for every ten rods may be deducted. 
 
 Particular care must be taken to have the chain carried on 
 a straight line. When a tally is ended, and the hinder chain- 
 man carries forward the sticks, they must be counted, 
 When on counting the sticks it is discovered that one is lost, 
 the chainmen should not leave the chain and go back to find 
 it, but, from the last mark, should measure back to the point 
 where the tally commenced, to see whether the full tally was 
 measured, or whether one chain was lost from it. Many 
 blunders have been left undetected by not taking this care. 
 A careful, accurate chainman, never loses a stick, or miscounts 
 a tally. 
 
 Distances may be taken by chains and Jinks, or by rods and 
 decimal parts, as best suits the surveyor. When a survey is 
 calculated by chains and links, the numbers by which the 
 process is performed, are smaller than when it is calculated 
 by rods and decimal parts. Every method by which the 
 numbers are diminished, is an improvement. 
 
 Young surveyors should practice much for their own in- 
 struction, and should make correct practice familiar, before 
 they offer their services. 
 
 A young surveyor should bear in mind, that if he is detected 
 in one error in the beginning of his practice, it will be more 
 to his disadvantage than to be detected in two, when he shall 
 become well established. If an error is committed in a sur- 
 vey, it is not against the surveyor, provided he detects and 
 corrects it ; but if he cannot do this, it is sufficient evidence of 
 Jus deficiency in point of knowledge and skill. 
 
104 APPENDIX. 
 
 No. IV. 
 
 DIRECTIONS FOR RUNNING AND ESTABLISHING LINES. 
 
 Many people suppose that a surveyor, at the beginning of 
 a line, by intuition, or by some magic art, can set his compass 
 directly to the terminating point, whatever obstructions may 
 intervene, and that he needs no assistance ; but this is a mis- 
 taken idea. 
 
 In running a line of considerable length, a surveyor should 
 have two assistants to carry the chain, two to carry flags, in 
 whose ability and correctness he can confide, and a fifth to 
 carry an axe. If the surveyor is not furnished with such a 
 number of assistants, his employer need not place too much 
 confidence in his work, 
 
 The flag staves should be as much as two and a half or 
 three inches in diameter, or what would be better, two strips 
 of a board of that width, and seven or eight feet in length. If 
 they are not so wide, they cannot be seen through the sights 
 of the compass at any great distance. On one end of each 
 staff, a flag, either white or red, of a yard in length, should 
 be wound tight, and not left to hang loose and flutter in the 
 wind. The latter colour will be- more clearly seen through 
 bushes, especially when the ground is covered with .snow, 
 and the brighter the colour the better. Being thus manned 
 and equipped, at the beginning of a line, he must set his com- 
 pass as near the true line as he can, or, he may set up one of 
 the fjags at the place of beginning, and go forward as far as 
 he can have a view of the back flag. There set his compass 
 on the random line, and send the other assistant as far for- 
 ward as he can conveniently see the flag. When each flag 
 is clearly seen through the sights of the compass, the back 
 flag must be brought forward, a'nd placed w r here the compass 
 stood. In this manner he must proceed on his random line, 
 taking care each time he sets his compass, to turn the sights 
 to the back flag. Great care must be taken to keep the flags 
 perpendicular; also, the surveyor must keep the staff and the 
 sights of the compass perpendicular. A little leaning of the 
 flags, or turning the sights of the compass from a perpen- 
 dicular, will make a crooked line. In taking his sights to 
 the flags, he must look as near the ground as he can, and 
 when practicable, the flag should be turned downwards, on 
 account of the danger of being leaned when kept up. 
 
 All obstructions, such as bushes, brush, &c., must be cleared 
 away. The random line must be measured, and at con- 
 
APPENDIX. 105 
 
 lenient distances, perhaps at every twenty rods, stakes must 
 be set directly in it. Every stake must be numbered, that no 
 mistake may be made in calculating, when they are after- 
 wards removed arid placed on the true line. If, in the course 
 of the random line, the needle does not traverse as at first, or 
 does not traverse alike at different places, no regard should 
 be paid to it, the flags must direct the course; neither should 
 the surveyor be turned aside or terrified by the cry of either 
 of the parties, you are wrong, you, are wrong, (for he will 
 most certainly hear it,) bathe must continue his random line, 
 until, turning at right angles, either to the right or to the left, 
 as the case may be, he can exactly strike the bound, or the 
 point where a bound is to be erected ; there he may stop, and 
 measure the distance from that place to the bound. He may 
 then calculate the course and distance of the true line, as be- 
 fore taught ; but for setting the stakes in the true line, he may 
 take the following directions. 
 
 Suppose the whole length of the random line is 200 rods, 
 and the distance from the termination of it to the bound is 90 
 links, the calculation for setting the stakes on the true line 
 may be made thus: As the whole distance : is to 90 links 
 : : so is the distance of any stake : to the distance that such 
 stake is to be moved. 
 
 If the stakes are 20 rods apart, the answer is, the first stake 
 is to be moved nine links, the second 18 links, and so on, add- 
 ing nine links at each stake, until the whole are moved at 
 right angles from the random to the true line. Many crooked 
 lines and consequent disputes between farmers, have arisen 
 from the want of this care and attention. When a long line 
 is to be run over a number of ridges, and across intervening 
 valleys, it should first be run and established from one ridge 
 to another, and the intermediate spaces in the valleys may be 
 taken afterwards. By taking long sights, there will be less 
 danger of turning from a straight line. 
 
 In all cases, the forward flag should be carried as far as it 
 can be distinctly seen, unless it is at the termination of a 
 line. 
 
 On account of the irregularity of the magnetic needle, the 
 difference between compasses, and the incorrect manner in 
 which most of the former surveys were made, no rule can be 
 given which may be relied on, with certainty, in renewing 
 lost bounds. In such cases, the best evidence must be taken 
 which can, be produced. When an old line is to be renewed, 
 where the bounds have ""been "lost, the surveyor may verify or 
 prove his accuracy in various modes. If he finds, for exam- 
 ple, that the lots on each side of the line contain their due 
 
106 APPENDIX. 
 
 quantity, or possess their full width, he will have reason to 
 believe that the line is accurately run; if not, he may allow 
 for the excess or deficiency in either of these lots, and thus 
 discover the true position of the line. 
 
 It would be difficult to mention all the circumstances which 
 may govern, or which may serve as evidence in such cases. 
 
 No. V. 
 
 ON BALANCING SURVEYS. 
 
 In every survey which is taken without an error, either in 
 courses or in distances, the sum of the northings will equal 
 that of the southings; and the sum of the eastings that of the 
 westings; but this is not always an infallible proof that the 
 survey is accurate, for two errors may be committed, one of 
 which will exactly balance the other, which no rule will de- 
 tect; but such cases do not often occur. 
 
 In practical surveying, it is next to an impossibility, in any 
 case, to work so correctly that the survey will exactly close 
 without some correction. The difference between the two 
 columns of latitude, and between those of departure, are the 
 legs of a right angled triangle, the hypothenuse of which will 
 be the distance which the survey will fail of closing. In a 
 survey of one hundred acres, whatever may be the number 
 of the angles, the difference between the two columns of lati- 
 tude, and the two columns of departure, ought not to exceed a 
 rod for each, but to come within those limits, if possible. 
 
 If, in such a survey, either of the differences should exceed 
 a rod, where the land is valuable and easily surveyed, it 
 would be better to take a re-survey, or so far as to detect the 
 error. ' 
 
 These differences, as before taught in this work, must be 
 balanced before the column of meridian distances can be 
 formed, or a correct plot of the survey be drawn. 
 
 The small differences between the columns in surveys 
 which are substantially correct, commonly arise from an ex- 
 cess of measure, on account of- the irregularity of surface, and 
 from errors of the compass, caused by local attraction, and 
 diurnal motion. 
 
 Some authors have given rules for balancing surveys, which, 
 in theory, appear plausible, but, in practice, they are not with 
 out exceptions.* In correction, these rules are indiscrimi- 
 nately applied to every line in the survey, which pre- 
 
 * It is argued, by theorists, that by these rules all will be agreed. This 
 is admitted, 'but then, all may be agreed in error. 
 
APPENDIX. 107 
 
 supposes that a proportional error must have been commit- 
 ted on each and all, both in courses and in distances ; when 
 in almost every survey, a part of the lines are on land so 
 level and so clear from obstructions of any kind, that if the 
 surveyor and chainmen attend to their business, they will not 
 be likely to commit much error on them, while other lines 
 on other parts of the same survey are attended with so many 
 difficulties, that when they have done their best, it will 
 scarcely be possible for them to avoid some error, and the 
 surveyor who takes the survey will best judge on what 
 lines the errors were committed, and whether they were in 
 the courses or in the distances. In all cases, the corrections 
 should be made on the lines containing the errors. 
 
 When the errors are in the courses, they should be cor- 
 rected, and when the errors are in the distances, the correc- 
 tion should be in them, or the correction may be in both 
 courses and distances, as the surveyor may judge proper. 
 
 Surveys are commonly balanced by substracting half the 
 sum of the differences, from the numbers in the larger col- 
 umns, and by adding them to those in the less. 
 
 This, in most instances, is a correct method, but in certain 
 cases, there are exceptions to it. For example, the bounda- 
 ry lines of three sides of a farm are on level land where there 
 are no obstructions. The other side is on rough land rilled 
 with broken precipices. In such a case, most, if not all the 
 correction, should be on the lines on the rough side. In 
 some instances, most of the error may be in the course of a 
 single long line. 
 
 It is not uncommon on high hills that the traverse of the 
 needle differs a quarter or half of a degree, or more, from its 
 traverse in valleys and on plains below. In such cases, 
 courses should be corrected. In general, the compass is 
 subject to more error than the chain. As rules cannot be 
 given for correcting surveys in all cases, this must be left in a 
 great measure to the judgment and experience of the surveyor. 
 
 As a general rule, corrections should be made principally 
 on long lines, and the correction may be in proportion to 
 the difficulties with which the surveying of them is attended. 
 
 When a course is north or south," or east or west, or near 
 either of those points, a few minutes may be added to it or 
 substracted from it, when necessary to favour the balancing. If 
 the distance is of considerable length, it is probable that the 
 course may contain some error. 
 
 When a course is nearly equidistant between any two of 
 the four cardinal points, if the correction of it increases the 
 latitude and diminishes the departure, or if it diminishes the 
 
108 
 
 APPENDIX. 
 
 latitude and increases the departure, so as to favour the balan- 
 cing, there is double evidence that the course contains some 
 error. If by diminishing the distance on such a course, both 
 the latitude and departure are so diminished as to favour the 
 balancing, it is good evidence of an excess of measure. 
 
 In correcting surveys, there is less danger from diminishing 
 distances than there is from increasing them. Cases may 
 occur in which distances may be increased, but the surveyor 
 should be very cautious about it. 
 
 As it is of importance that surveys should be correctly bal- 
 anced before they are calculated, and as the work is commonly 
 attended with some difficulty, a few examples are given for 
 the assistance of the student. In each survey, the courses and 
 distances are entered in the tables as they were taken in the field. 
 
 EXAMPLE I. 
 
 r 
 
 Courses. 
 
 Dist. 
 rods. 
 
 N. 
 
 S. 
 
 E. 
 
 W. 
 
 1 
 
 N. 40 30' W. 
 
 53.0 
 
 40.30 
 .20 
 
 
 
 34.42 
 .53 
 
 2 
 
 N. 10 15 E. 
 
 74.4 
 
 73.21 
 .00 
 
 
 13.24 
 
 
 3 
 
 S. 85 30 E. 
 
 125.5 
 
 
 9.85 
 10.25 
 
 125.11 
 
 
 4 
 
 S. 7 15 W. 
 
 71.8 
 
 
 71.22 
 .32 
 
 v 
 
 9.06 
 
 5 
 
 S. 2 15 E. 
 
 31.2 
 
 
 31.18 
 
 .28 
 
 1.23 
 
 
 6 
 
 N. 84 00 W. 
 
 35.5 
 
 3.71 
 .50 
 
 
 * 
 
 35.31 
 
 7 
 
 W. 
 
 40.0 
 
 
 .10 
 
 
 40.00! 
 
 8 
 
 S. 80 00 W. 
 
 21.0 
 
 
 3.65 
 .75 
 
 
 20.68 
 
 
 
 
 117.22 
 
 115.90 
 
 139.58 
 
 139.47 
 
 
 Balanced, 
 
 
 116.70 
 
 1 1,6.70 
 
 139.58 
 
 139.58 
 
APPENDIX. 
 
 109 
 
 The difference betweett the sum of the northings and that 
 of the southings is one rod and 8 links, and the difference be- 
 tween the sum of the eastings and that of the westings is 
 2f links* The taking of the course on the third line was 
 attended with difficulty, and probably it contains some error, 
 therefore, more than a proportion of the correction is made 
 on the southing of it. There is also evidence that the first 
 course contains some error, as the diminishing- of the north- 
 ing and the increasing of the westing favours the balancing. 
 Twenty links are added to the different southings, and thir- 
 teen links are substracted from the different northings 
 
 Where corrections are made, the upper numbers are of no 
 further use. If the corrections are made with red ink, they 
 will all be seen at one view, and the work will appear hand.- 
 This was Mr. Flint's practice. 
 
 sorrier. 
 
 EXAMPLE II. 
 
 2 
 
 
 
 Courses. 
 
 Dist. 
 rods. 
 
 N. 
 
 S. 
 
 E. 
 
 W. 
 
 i 
 
 N. 5 00' E. 
 
 44,4 
 
 44.23 
 
 
 3,86 
 .75 
 
 
 2 
 
 E. 
 
 66.6 
 
 .22 
 
 
 66.60 
 .40 
 
 
 3 
 
 N. 20 00 E. 
 
 22.6 
 
 -21.23 
 
 
 7.72 
 
 
 4 
 
 S. 80 00 E. 
 
 59.0 
 
 
 10.25 
 .10 
 
 58.10 
 ,00 
 
 
 5 
 
 S. 8 15 W. 
 
 57.0 
 
 
 56.41 
 .30 
 
 
 8.18 
 .33 
 
 6 
 
 N. 85 30 W. 
 
 41.4 
 
 3.25 
 .40 
 
 
 
 41.27 
 .39 
 
 7 
 
 S. 45 00 W. 
 
 28.5 
 
 
 20.15 
 
 
 20.15 
 
 8 
 
 S. 7 00 E. 
 
 24.4 
 
 
 24.22 
 
 2.97 
 ,90 
 
 
 9 
 
 S. 80 15 W. 
 
 38.2 
 
 
 6.47 
 .35 
 
 
 37.65 
 
 10 
 
 W. 
 
 20.4 
 
 
 
 
 20.40 
 
 11 
 
 N. 12 30 W. 
 
 49.2 
 
 48.04 
 
 
 
 10.65 
 .85 
 
 1230 
 
 116.75 
 
 117.50 
 
 139.25 
 
 138.30 
 
 1 Balanced, 
 
 117.12 117.12 
 
 138,77 
 
 138.77 
 
 10* 
 
HO 
 
 APPENDIX. 
 
 EXAMPLE III. 
 
 2 
 
 p 
 
 Courses. 
 
 Dist. 
 Rods. 
 
 N. 
 
 S. 
 
 E. 
 
 W. 
 
 1 
 
 N. 20 00' W. 
 
 70.0 
 
 65.78 
 
 
 
 23.94 
 24.05 
 
 2 
 
 N. 12 30 W. 
 
 45.4 
 
 44.32 
 
 
 
 9.83 
 
 3 
 
 N. 10 00 E. 
 
 38.5 
 
 37.91 
 
 
 6.69 
 
 
 4 
 
 N. 15 00 W. 
 
 38.0 
 
 36.71 
 
 
 
 9.84 
 
 5 
 
 N. 86 00 E. 
 
 80.8 
 
 5.65 
 .75 
 
 
 80.61 
 .51 
 
 
 6 
 
 S. 88 00 E. 
 
 65.2 
 
 
 2.27 
 .18 
 
 65.16 
 .06 
 
 
 7 
 
 N. 84 30 E. 
 
 72.0 
 
 6.90 
 700 
 
 
 71.67 
 .57 
 
 
 8 
 
 S. 5 45 E. 
 
 100.0 
 
 
 99.50 
 .30 
 
 10.02 
 
 
 9 
 
 W. 
 
 71.6 
 
 .18 
 
 
 
 71.60 
 
 10 
 
 S. 
 
 88.6 
 
 
 88.60 
 .50 
 
 
 .20 
 
 a 
 
 N. 87 00 W. 
 
 50.2 
 
 2.63 
 .73 
 
 
 
 50.13 
 
 12 
 
 S. 81 15 W. 
 
 69.0 
 
 
 10.50 
 .40 
 
 
 68.20 
 
 
 
 
 199.90 
 
 200.87 
 
 234 15 
 
 233.54 
 
 
 Balanced, 
 
 
 200.38 
 
 200.38 
 
 233.85 
 
 233.85 
 
 In the correction of the two last surveys, the differences 
 between the two columns of latitude, and between those of 
 departure, in each example, are equally divided between 
 their respective columns. A northing is added to the second 
 course in the second example ; also, a northing to the ninth, 
 and a westing to the tenth, in the third example. When 
 courses are entered in the field book, north, south, east, or 
 west, they are as liable to contain errors, and they are as 
 subject to correction, as other courses. 
 
APPENDIX. 
 EXAMPLE IV. 
 
 Ill 
 
 No. 
 
 Courses. 
 
 Dist. 
 
 rods. 
 
 N. 
 
 S. 
 
 E. 
 
 W. 
 
 1 
 
 N. 7 45' E. 
 
 41.8 
 
 41.42 
 
 
 5.64 
 
 
 2 
 
 
 
 .20 
 
 
 .58 
 
 
 S. 79 00 E. 
 
 47.0 
 
 
 8.97 
 
 46.14 
 
 
 
 
 
 
 9.15 
 
 
 
 3 
 
 N. 40 00 E. 
 
 25.0 
 
 19.15 
 
 
 16.07 
 
 
 
 
 
 .00 
 
 
 
 
 4 
 
 S. 70 00 E. 
 
 60.0 
 
 
 20.52 
 
 56.38 
 
 
 
 
 
 
 .72 
 
 
 
 5 
 
 S. 15 00 E. 
 
 15.6 
 
 
 15.07 
 
 4.06 
 
 
 6 
 
 N. 89 00 E. 
 
 57.0 
 
 .99 
 
 
 56.99 
 
 
 
 
 
 .80 
 
 
 
 
 7 
 
 S. 3 30 E. 
 
 96.5 
 
 
 96.32 
 
 5.89 
 
 
 
 
 
 
 
 .76 
 
 
 8 
 
 S. 87 45 W. 
 
 174.6 
 
 
 6.86 
 
 
 174.46 
 
 
 
 
 
 7.20 
 
 
 
 9 
 
 N. 2 15 E. 
 
 84.2 
 
 84.14 
 
 
 3.31 
 
 
 
 
 
 .00 
 
 
 
 .18 
 
 
 10 
 
 N. 80 00 W. 
 
 20.0 
 
 3.47 
 
 
 19.70 
 
 
 
 
 .46 
 
 
 
 
 1 
 
 
 
 149.17 
 
 147.74 
 
 194.48 
 
 194.16 
 
 
 Balanced, 
 
 
 148.46 
 
 148.46 
 
 194.16 
 
 
 In the last example, the difference between the northings 
 and the southings is equally divided. 
 
 As it was judged that sufficient distances were made on the 
 two westerly courses, the correction was made on the east- 
 ings. 
 
112 APPENDIX. 
 
 No. IV. 
 ON RECTANGULAR SURVEYING. 
 
 Rectangular surveying* is a name given to the method 
 here treated of by the late Governor Treadwell. 
 
 In the operation of it the whole survey is reduced to 
 squares and parallelograms, and each of these figures is di- 
 vided into two right angled triangles of equal shape, or 
 into two trapezoids of equal size and shape, by a boundary 
 line of the field running obliquely through it, except when 
 the boundary line is directly north and south, then the figure 
 is divided into two squares or parallelograms. 
 
 The calculations are made from a meridian drawn either 
 at the eastern or at the western extremity of the map ; and 
 the areas are produced by multiplying the latitudes by the 
 longitudes made from this meridian. 
 
 All the spaces lying between the field and the meridian, 
 and between the parallels of latitude of the northern and 
 southern extremities of it, also large spaces lying without 
 the figure on the opposite side of it, and between those par- 
 allels, are included in the calculation ; but that which lies 
 without, is eventually excluded. 
 
 Parallels of latitude are drawn from each angle to the 
 meridian, which are called meridian distances. 
 
 In forming the column of meridian distances, when the 
 meridian is drawn at the eastern extremity, the westings are 
 added, and the eastings substracted ; but when the meridian is 
 laid on the west side, the eastings are added and the westings 
 substracted. 
 
 The meridian distances proceeding from each end of a line 
 are added together, to form the column of double mean dis- 
 tances, which the compiler of the foregoing work called se- 
 cond departure. 
 
 Meridian distances and double mean distances,! are more 
 proper terms or names for these columns, than first departure 
 and second departure. 
 
 The meaning of the term meridian distance, is the distance 
 made from any meridian. 
 
 The following survey is calculated from the meridian of 
 
 * Rectangular calculation is as proper. 
 
 t The compiler of the foregoing work would have made use of 
 these names, but he was afraid of infringing on a certain copy-right 
 which has expired. 
 
APPENDIX. 
 
 113 
 
 the first station which is on the west side of the figure, of 
 course, the eastings are added and the westings substracted. 
 The whole is illustrated by this figure. 
 
114 
 
 APPENDIX. 
 
 To form the first column marked at the top Merid. Dist. set 
 the easting of the first line 16.90, into the head of the column, 
 which is the meridian distance of 2, or the distance from 2 to 
 s. To this number, add the easting of the second line, and 
 their sum is 22. 11, the meridian distance of 3, or the distance 
 from 3 to n. To this number add the easting of the third 
 
APPENDIX. US 
 
 line, and their sum is 80.07, the meridian distance of 4, or the 
 distance from 4 to m. From this number, substract the 
 westing of the fourth line, and 73.82 remains, the meridian 
 distance of 5, or the distance from 5 to a. From this num- 
 ber, substract the westing of the fifth line, and 70.33 remains, 
 the meridian distance of 6, or the distance from 6 to z. From 
 this number, substract the westing of the closing line, and 
 00.00 remains, which proves the work correct so far. When 
 the last substraction does not end in a cipher, an error has 
 been committed somewhere. 
 
 In forming the column of double mean distances, take the 
 following directions : 
 
 Add together two opposite sides of each figure formed by 
 the meridian distances. Set the first meridian distance into 
 the head of the next column, or that marked at the top D. 
 M. D., and it gives one side of the parallelogram Is 2c. 
 This figure is divided into two equal triangles by the line 
 1 2. The meridian distance multiplied by the northing of 
 the line 1 2, gives the area of the whole parallelogram, or 
 the double area of one of the triangles. Let this be consid- 
 ered, that which lies without the field. -To the line 2s, add 
 3ft, and their sum is 39.01, the length of the parallelogram 
 nxos, which is divided into two equal trapezoids by the line 
 2 3. The double mean distance 39.01, multiplied by the 
 northing of the line 2 3, gives the area of the parallelogram, 
 or the double area of one of the trapezoids. 
 
 Let this be considered that which lies without the field. 
 
 To the line 3w, add 4?rc, and their sum is 102.18, the 
 length of the parallelogram mien, which is divided into two 
 equal trapezoids by the line 3 4. The double mean distance 
 102. 18, multiplied by the northing of the line 3 4,. gives 
 the area of the parallelogram, or the double area of one of 
 the trapezoids. Let this be that which lies without the field. 
 To the line 4m, add 50, and their sum is 153.89, the length 
 of the parallelogram mdfa, which is equally divided by the 
 line 4 5. The double mean distance 153.89, multiplied by 
 the southing of the line 4 -5, gives the area of the parallelo- 
 gram, or the double area of one of the trapezoids. 
 
 Let this be that which abuts on the meridian, being partly 
 within and partly without the field. 
 
 To the line 5a, add 62, and their sum is 144.15, the length 
 of the parallelogram auvz, which is equally divided by the 
 line 5 6. The double mean distance 144.15, multiplied by 
 the southing of the line 5 6, gives the area of the parallelo- 
 gram, or the double area of one of the trapezoids. Let this 
 
116 APPENDIX, 
 
 be a5 6jz, partly within and partly without the field. To 
 the line 6z, nothing is to be added, of course, it is one side 
 of the parallelogam z6~wl, which is equally divided by the 
 closing line. The distance 70.33, multiplied by the southing 
 of the closing, line, gives the double area of the triangle 
 zQ 1, partly within and partly without the field. 
 
 The three products in the column of north areas, all lie 
 without the field. Those in the column of south areas lie 
 partly within and partly without the field, and they include 
 all the space which is covered by the products in the column 
 of north areas. 
 
 Hence it is plain, that when the sum of the former is sub' 
 stracted from that of the latter, the double area of the field 
 will remain. In this method, when the column of meridian 
 distances and that of double mean distances are correct, the 
 sum of the latter will be double to that of the former. 
 
 PENNSYLVANIA METHOD. 
 
 If the writer has been correctly informed, this improvement 
 was made by Dr. Rittenhouse. 
 
 Only one column is used for meridian distances, but the 
 final results are the same as when two columns are used. 
 
 This method is not so easily explained to the learner, but 
 is perhaps preferable in practice, because an error may be 
 committed in forming the column of double mean distances, 
 which may not be discovered ; but in this method, an error 
 cannot be committed in the meridian distances, \vithout being 
 detected. A full explanation of this method would be tedious 
 and perplexing to the learner, without being of the least use 
 in performing practical operations, and probably, if made, 
 but little attention would be paid to it ; therefore, only direc- 
 tions how to form the column, and how to apply the numbers 
 in their practical use, will be given. 
 
 The operation of this method is substantially the same as 
 that of the other, and the diagram given in that will answer 
 for this. The north and south products are precisely the 
 same in both methods. A further investigation of this method 
 will be left for the learner when he shall be more expe* 
 rienced. 
 
 When the two columns in the other method are proved by 
 addition, the process is longer than in this. 
 
 The second column in the foregoing example, marked at 
 the top, meridian distances, is the method here treated of. 
 
 To form the column, add twice or subslract twice against 
 
APPENDIX. 
 
 nr 
 
 each station. Set the first easting 16.90 into the head of the 
 column at the upper place. Add it to itself, and the sum is 
 33.80 in the lower place. To this number add the next east- 
 ing, and they make 39.01 in the upper place. To this num- 
 ber add the same easting again, and they make 44.22 in the 
 lower place. To this number add the third easting, and they 
 make 102.18 in the upper place. To this number add the 
 same easting again, and they make 160.14 in the lower 
 place. 
 
 From this number substract the first westing, and 153.89 
 remains in the upper place. From this number substract the 
 same westing again, and 147.64 remains in the lower place. 
 
 From this number substract the second westing, and 144.15 
 remains in the upper place. From this number substract the 
 same westing again, and 140.66 remains in the lower place. 
 From this number substract the last westing, and 70.33 re- 
 mains in the upper place. 
 
 From this number substract the same westing again, and 
 00.00 remains. The upper number against each station in 
 this column, is the same as the double mean distance which 
 stands against it ; and the remainder of the process may be 
 performed as before directed. Another column may be 
 formed as the eleventh in this example, marked H. D. at the 
 top, which, for distinction, is here called half distance. It 
 contains half the sum of the numbers in the double mean 
 column. These numbers, when multiplied by their respective 
 northings or southings, give the simple areas of the different 
 figures. 
 
 This method is preferable in practice, as the multiplica- 
 tions are greatly diminished. When the last decimal in the 
 double mean distances is an odd number, a unit may be taken 
 off, and take half the remainder, rather than annex another 
 decimal : perhaps this would not make the difference of a 
 rod in a survey of three hundred acres. Or the odd num- 
 bers in the last place of decimals may be balanced by some- 
 times adding a unit. 
 
 If the numbers are diminished a trifle, it may be remarked, 
 that, on account of uneven surfaces, there is danger of 
 making the distances too much, rather than falling short of 
 the true measure. There are other methods by which sur- 
 veys may be calculated arithmetically, but none are more 
 correct, and perhaps none are so simple and so easy to be 
 understood as the methods here treated of. These methods 
 may be applied in every case in practical surveying, which 
 depends on a calculation from courses and distances. 
 
 11 
 
118 
 
 APPENDIX. 
 
 Instead of laying the meridian on one side, it may be laid 
 through the map, either at an angle, or so as to bisect a boun- 
 dary line ; but this renders the process more complex and 
 difficult. 
 
 PENNSYLVANIA METHOD. 
 
 This example is calculated by chains and links. 
 
 55 
 p 
 
 1 
 
 2 
 
 Courses. 
 
 Dist. 
 
 N. 
 
 S. 
 1.08 
 
 E. 
 
 W. 
 
 M.dist. 
 164.06 
 
 
 1391580 
 
 S.8815' W. 
 
 35.25 
 
 
 
 35.23 
 .21 
 
 45.57 
 .54 
 
 128.85 
 93.64 
 
 
 S. 86 30 W. 
 
 45.65 
 
 
 2.79 
 
 
 48.10 
 02.56 
 
 
 225990 
 
 3 
 
 N. 2 15 W. 
 
 32.55 
 
 32.53 
 
 
 
 1.28 
 
 1.28 
 0.00 
 
 416384 
 
 
 4 
 
 N. 87 00 E. 
 
 20.25 
 
 1.06 
 
 
 20.22 
 
 
 20.22 
 40.44 
 
 212332 
 
 
 5 
 6 
 
 7 
 8 
 
 N. 3 00 W. 
 
 25.40 
 
 25.37 
 3.40 
 
 62.36 
 
 25.47 
 
 33.04 
 .02 
 
 62.38 
 
 59.90 
 
 1.33 
 
 39.11 
 
 37.78 
 
 9922207 
 
 
 
 N. 86 45 E. 
 
 60.00 
 25.50 
 
 97.68 
 
 157.58 
 
 3321120 
 
 S. 2 45 E. 
 
 1.22 
 2.02 
 83.36 
 
 
 158.80 
 160.02 
 
 
 40446360 
 
 53505608 
 
 S. 3 30 E. 
 
 33.10 
 
 83.41 
 
 162.04 
 164.06 
 
 
 
 
 13872043 '95569538 
 1387-2043 
 
 181697495 
 
 408.48747 
 4 
 
 1.94988 
 
 40 
 
 37.99520 
 
 1 
 
 A. a. Rods. 
 
 408 1 38. 38 
 
 The above survey was commenced and terminated at the 
 southeast corner. Against the fourth station, the addition of 
 the eastings in the column of meridian distances begins, and 
 the substraction of the westings terminates directly over it. 
 
APPENDIX. 119 
 
 The lower number against the 8th station is 164.06. This 
 is placed over the head of the column, and the three first 
 westings are substracted from it. 
 
 If the fourth course had been placed against the first num- 
 ber, and the others had followed in succession, the addition 
 would have began at the head of the column, and the sub- 
 straction would have ended at the bottom, and the result would 
 have been the same. Perhaps this may be a better method 
 for the student, and for the young surveyor, but one who is 
 experienced can derive no benefit from it. 
 
 No. VII. 
 
 ON PLOTTING SURVEYS. 
 
 Surveys may be plotted by various^ methods. That which 
 is commonly practised, is by a scale and protractor. 
 
 The latter instrument is a semicircle, graduated like the 
 compass, and it answers the same purpose in laying angles on 
 paper, that the compass does in taking them in the field. 
 
 A meridian is drawn for each station or angle in the sur- 
 vey, and the angle which each course makes, with its respect- 
 ive meridian, is laid down with the protractor, and each dis- 
 tance by a scale of even parts. It would be well also to draw 
 a parallel of latitude for each station, as by such parallels the 
 protractor may be kept more truly to the meridians. 
 
 A plot may be drawn by laying down the angles by the 
 protractor without meridians or parallels of latitude, as has 
 already been taught in the foregoing work ; but the writer 
 never had so good success by this method as he has had by 
 laying his courses from meridians. 
 
 As the scale and protractor are equally subject to error, the 
 surveyor will be more likely to draw a correct plot if he 
 should dispense with the latter instrument, and lay down the 
 boundary lines from the latitude and departure of each, or 
 from the latitude and meridian distance of each station. 
 
 To plot from the several latitudes and departures, take the 
 foregoing survey for an example.* 
 
 As that survey is small, take half a sheet of paper, and draw 
 meridians across each end of it. 
 
 On the left hand meridian, make a point for the beginning. 
 From that point draw a parallel of latitude to intersect the 
 other meridian, perpendicular to, or at right angles with 
 each. 
 
 * Page 114. 
 
120 APPENDIX, 
 
 The latitude of the first course is 36.25. Draw another 
 parallel of latitude at that distance above the first. 
 
 The latitude of the second course is 29.54. This, added to 
 the first, makes 65.79. Draw another parallel at this distance 
 above the first. 
 
 To the sum of the first and second latitudes, add that of the 
 third, and their sum is 81.32. At this distance above the first, 
 draw another parallel. The southing- of "the fourth course is 
 35.54. Substract this from the whole sum of the northings, 
 and 45.87 remains. At this distance above the first, draw 
 another parallel. From the last remainder, substract the 
 southing of the fifth course, and 6.02 remains, which is the 
 southing of the closing line. At this distance above the first, 
 draw the last parallel. In like manner, draw the meridian of 
 each station, according to the departure made en each course. 
 The intersection of these lines will be the angles of the figure. 
 If the distances shall not exactly fall into these points, the pro- 
 cess will contain some error, either in drafting, or from a scale 
 not accurately divided. 
 
 TO PLOT FROM LATITUDES AND MERIDIAN DISTANCES. 
 
 First, form the column of meridian distances. Next draw 
 the meridian of the first station, and the several parallels of 
 latitude, as before directed. On these parallels, lay the me- 
 ridian distance of each station, viz. from s to 2, 16.90; from 
 n to. 3, 22.11 ; from m to 4, 80.07 ; from a to 5, 73.82; from 
 z to 6, 70.33. 
 
 From one of these points to another draw the boundary 
 lines. Great care must be taken to keep the latitudes parallel 
 and perpendicular to the meridian. The scale must be cor- 
 rectly divided, the dividers nicely pointed, and the rule must 
 be straight. Whether the protractor is used or not, before a 
 plot of a survey is drawn, it should be balanced, and both 
 courses and distances corrected according to the balancing. 
 
 The following example is given as a proof of the necessity 
 of balancing a survey before the map is drawn. 
 
 A farm is to be divided among a number of heirs. A sur- 
 vey of it is taken, and the difference between the two columns 
 of latitude and those of departure, is two rods for each. The 
 survey is balanced and calculated arithmetically, and is found 
 to contain two hundred acres. 
 
APPENDIX. 121 
 
 The surveyor next draws his map, by which the divisions 
 are to be made, according to the courses and distances as 
 they were taken on the ground. The plan does not close 
 by nearly two rods and three quarters. He next corrects 
 the lines, and maks the map close as well as he can ;. and 
 when the divisions are made, they may not agree with the 
 first calculation, by two or three acres, or more. Should the 
 map be drawn as before directed, by the latitudes and de- 
 partures as balanced, or by the latitudes as balanced, and the 
 meridian distances, it would -close, and would be in exact 
 conformity to the calculation made arithmetically. If the 
 divisions are made arithmetically, the calculations must be 
 made according to the balancing, or the divisions will not 
 agree with the first calculation. 
 
 When a map of a multangular piece of land, of very ir- 
 regular shape, is to be drawn, whether a calculation or a 
 division is to be made from it, the surveyor should measure 
 across the lot between two opposite angles in some central 
 place, at least once, and in more places, if convenient, and 
 the case requires it. By cross measures, the map may 
 be more correctly drawn, and the divisions should be calcula- 
 ted separately. In such cases, the surveyor will be more 
 likely to ascertain the true contents, than he would by sur- 
 veying only the boundary lines, and then calculating the whole 
 together. 
 
 No. VIIL 
 
 ON DIVIDING LAND. 
 
 As lands are divided into so great a variety of shapes, 
 rules cannot be given which will answer in all cases. 
 
 In distributions of estates, the divisions are commonly 
 made with scale and dividers. This method will answer 
 well, provided the map is drawn on a large scale, which 
 should not be less than ten rods to an inch. 
 
 As more confidence can be placed in arithmetical calcula- 
 tions, it may be recommended to every surveyor to make as 
 little use of the scale and dividers as he can ; but in our 
 country, they cannot, in all eases, be dispensed with. 
 
 In dividing lands, it will be acknowledged by every expe- 
 rienced surveyor, that it is a difficult matter to make the 
 amount of a considerable number of divisions agree with 
 the whole, when calculated by itsel 
 11* 
 
122 APPENDIX. 
 
 A few examples by arithmetical calculation will be given. 
 Let the preceding figure be divided into two equal parts by 
 a line running eastward from the second angle. At what 
 point on the eastern boundary will it terminate? 
 
 As you do not know the point, first calculate the area of 
 that part which lies above a line from 2 to 5. 
 
 Set the courses and distances of the second, third, and 
 fourth courses, into their respective columns, having a blank 
 line for the course, distance, latitude, departure, &c. of the 
 closing line from 5 to 2. On the two first of these courses, 
 the sum of the northings is 45.07 rods, and that of the east- 
 ing is 63.17 rods, and the course from 4 to 5 contains 35.45 
 rods of southing and 6.25 rods of westing. The southing 
 and westing of the latter being substracted from the north- 
 ings and eastings of the two former, leaves a balance of 
 9.62 rods of southing and 56.92 rods of westing to fill the 
 blank line. The latitude and departure of the closing line 
 being given, the course may be found by the following pro- 
 portion. 
 
 As the latitude is to radius ; so is the departure to the tan- 
 gent of the course. Look in the column of tangents for the 
 course. The course being found, the distance may be found 
 as follows. As the sine of the course is to the departure 
 so is radius to the distance. See them worked. 
 
 Latitude 9.62, and the departure 56.92, given to find the 
 course and distance. 
 
 Lat. 9.62 - - - 0.983175 
 
 : radius - - 10.000000 
 
 : : departure 56.92 - 1.755265 
 
 radius and dep. added - - 11.755265 
 lat. brought down 0.983175 
 
 : tangent of the course 80 25' 10.772090 
 
 sine of 80 25' - - -. 9.993896 
 
 : departure 56.92 - 1.755265 
 
 : : radius .... 10.000000 
 
 11.755265 
 9.993896 
 
 : distance - 57.72 1.761369 
 
 The course from 5 to 2 is S. 80 25' W., and the distance 
 is 57.72 rods. This being ascertained, the contents of that 
 
APPENDIX. 123 
 
 part of the figure above this line will be found, eleven acres 
 and thirty-four rods, leaving a deficiency of one acre and a 
 half, and thirty-three rods, of making one half of the whole 
 figure. 
 
 This quantity is to be Jaid in a triangle on the line from 2 
 to 5, and on that from 5 to G, running to a point at 2. 
 
 The question is, what distance from 5 towards 6, will be 
 required to give the contents of the triangle ? To answer 
 such a question, the area, the contained angle, and one side 
 of the triangle must be given, to find the length of the con- 
 tiguous side, including the angle. Having these data, take 
 the following rule. 
 
 To the sine of the given angle, or to its supplement if 
 obtuse, add the logarithm of the given side ; substract radius 
 from this sum, and substract the remainder from the logarithm 
 of the double area : the last remainder will be the logarithm 
 of the side required. In this case, the angle formed by the 
 line from 5 to 2, and by that from 5 to 6, contains 75 25', 
 the given side is 57.72 rods, the area of the triangle is 273 
 rods, and the double area is 546 rods. See the rule worked. 
 
 Sine of 75^ 25' 9.985778 
 
 logarithm of the given side 57.72 1.761369 
 
 cancel the first figure, and R. is 
 
 substracted - 1,1.747147 
 
 logarithm of the double area - -. - 2.737193 
 
 remainder brought down .... 1.747147 
 
 logarithm of the side required 9.77 rods 0.990046 
 
 Measure from 5 towards 6, 9 rods and 19^- links to a 
 beech tree, from thence on a straight line to 2, and the figure 
 will be equally divided. The true position of the divisional 
 line being established, the course and distance of it may be 
 calculated as before directed. 
 
 The course and distance from 2 to 5 are N. 80 25' E. 
 57.72 rods : from 5 to the beech tree, S. 5 W., 9.77 rods. 
 On the first, 9.62 rods of northing and 56.92 of easting are 
 made. On the second, 9.74 rods of southing and .85 of a 
 rod of westing are made. 
 
 The northing of the first course being substracted from the 
 southing of the second, and the westing of the second from 
 the easting of the first, .12 of a rod of northing, and 56.07 
 rods of westing, are given as data by which the course and 
 distance from the beech tree to 2 may be calculated. The 
 course is N. 89 53' W., and the distance is 56.07 rods. 
 
124 APPENDIX. 
 
 Suppose it is next required to lay out 15 rods in width be- 
 low and parallel with the dividing line. 
 
 As the eastern and western boundary lines both turn ob- 
 liquely from the dividing line, the question is, what distance 
 will be required on each to give the required width ? 
 
 Make the distance on each boundary line the hypothenuse 
 of a right angled triangle, and 15 rods, the width required, 
 one of the legs or the base. The angle at 2, formed by the 
 boundary and dividing lines, contains 114 53'. Substract 
 90 from this, and 24 53' remains, being the angle formed 
 by the given leg (15) and the hypothenuse. 
 
 Take the following proportion to find the hypothenuse. 
 
 As the co-sine of 24 53'; is to 15, the given side; so is 
 radius to the distance required. See it worked. 
 
 Co-sine of 24 53' - 9.957687 
 
 : given side 15 rods - 1.176091 
 
 : : radius - - - - 10. 
 
 11.176091 
 
 9.957687 
 
 : side required 16.54 rods - 1.218404 
 
 The dividing line and the eastern boundary, at the beech 
 tree, form an angle of 85 7'. Substract this from 90, and 
 4 53' remains, being the angle by which the east side must 
 be worked. 
 
 Co-sine of 4 53' 9.998421 
 
 : given side 15 rods - - 1.176091 
 : : radius 10. 
 
 11.176091 
 9.998421 
 
 : side required 15.05 rods - 1.177670 
 
 The distances required are 15 rods \\ link on the east- 
 ern, and 16 rods 13^ links on the western boundary. 
 
 Measure from 2 towards 1, 16 rods 13 links to a spruce 
 tree, and from the beech tree towards 6, 15 rods 11 link to 
 a pine tree, and calculate the distance from the pine to the 
 spruce, and the division will be completed. This calcula- 
 tion must be made by a traverse from the courses and distan- 
 ces already known. 
 
 From the spruce to 2, N. 25 E. 16.54 rods ; from 2 to the 
 beech, S. 89 53' E. 56.07 rods; from the beech to the pine 
 S. 5 W. 15.05 rods. Arrange these courses and distances 
 
APPENDIX. 
 
 125 
 
 in their proper columns as follows, and calculate the latitude 
 and departure of each, having a blank line for the last. 
 
 Courses. 
 
 Dist. 
 
 N. 
 
 S. 
 
 E. 
 
 W. 
 
 N. 25 00' E. 
 
 16.54 
 
 14.99 
 
 6.98 
 
 
 S. 89 53' E. 
 
 56.07 
 
 
 .12 
 
 56.07 
 
 
 S. 5 00' W. 
 
 15.05 
 
 
 14.99 
 
 
 1.31 
 
 
 
 .12 
 
 
 
 61.74 
 
 
 
 15.11 
 
 15.11 
 
 63.05 
 
 63.05 
 
 Having calculated the latitudes and departures, substract 
 the northing of the first course from the sum of the south- 
 ings of the two last, and .12 of a rod 'remains to be entered 
 in the blank column of northings; also, substract the westing 
 of the third from the sum of the eastings of the two first, 
 and 61.74 remains to fill the blank column of westings. 
 This balance of northing and of westing is the latitude and 
 departure of the line from the pine to the spruce. The dis- 
 tance is 61.74 rods, and the course agrees with that on the 
 opposite side. 
 
 Suppose it is next required to lay out four acres adjoining 
 and parallel with the line from the pine to the spruce. 
 
 As the rrgure of this division is not regular, no rule can be 
 given by which it can be calculated by one operation, but it 
 must be done by approximation. - 
 
 Reduce the quantity of the division to rods, and divide that 
 sum by the length of the known side, and the quotient will 
 be 10.36 rods, but as the south side will be longer than the 
 north, the width cannot be so much. 
 
 Assume 10 rods as the width, and calculate the distance 
 on each end by the same process that you did those on the 
 last. The angles in this are the same as in that. 
 
 Co-sine of 24 53' - - 9.957687 
 
 : given side 10 rods - - 1.000000 
 
 : : radius - - - 10. 
 
 side required 11.03 rods 
 
 11.000000 
 9.957687 
 
 1.042313 
 
126 
 
 APPENDIX. 
 
 Co-sine of 4 53' 
 : given side 10 rods 
 : : radius 
 
 9.998421 
 1.000000 
 10. 
 
 11.000000 
 9.998421 
 
 : side required 10.04 rods 1.001579 
 
 The distances required are 10 rods 1 link on the east, and 
 
 1 1 rods f of a link on the west boundary. 
 
 Measure from the spruce towards 1, 11 rods f of a link 
 
 to a hemlock, and from the pine towards 6, 10 rods 1 link to 
 
 a maple, and calculate the distance from the latter tree to the 
 
 hemlock. 
 
 From the hemlock to the spruce N. 25 E. 11.03 rods; 
 
 from the spruce to the pine, S. 89 53' E. 61.74 rods; from 
 
 the pine to the maple S. 5 W. 10.04 rods. 
 
 Courses. 
 
 Dist. 
 
 N. 
 
 S. 
 
 E. 
 
 W. 
 
 N. 25 00' E. 
 
 11.03 
 
 10.00 
 
 
 4.66 
 
 
 S. 89 53' E. 
 
 61.74 
 
 
 .12J61.74 
 
 .87 
 
 S. 5 00' W. 
 
 10.04 
 
 
 10.00 
 
 
 
 
 .12 
 
 
 
 65.53 
 
 
 
 10.12 
 
 10.12 
 
 66.40 
 
 66.40 
 
 The northing and westing in the blank line is the latitude 
 and departure of the line from the maple to the hemlock. 
 The distance required is 65.53 rods. To this distance, add 
 that of the north side, and the sum of both is 127.27 rods. 
 Multiply half of this sum by JO rods, the width of the divi- 
 sion as it now stands, and the product is 636.3 rods. Sub- 
 stract this from 640, and 3.7 rods remain, being a deficiency. 
 To this deficiency annex three ciphers, and divide that sum 
 by the distance from the maple to the hemlock, and the quo- 
 tient will be nearly 6, which is .06 of a rod, or U link. To 
 the quantity already found, add this width on the south side, 
 and the division will be completed. 
 
 The south division of the whole figure contains twelve 
 acres, three quarters, and twenty-seven rods. This division, 
 now stands in three subdivisions. 
 
APPENDIX. 
 
 127 
 
 The first contains five acres, two quarters ana three rods ; 
 the second, four acres, and if the foregoing calculations are 
 correct, the third contains three acres, one quarter, and twen- 
 ty-four rods. See the work proved. 
 
 There now remains between the southeast corner and the 
 last subdivision, 5.08 rods, and between the southwest corner 
 and the same division, 12.37 rods, to be calculated on. 
 
 Courses. 
 
 Dist. 
 
 N. 
 
 S. 
 
 E. 
 
 W. 
 
 Me rid. 
 Dist. 
 
 North. 
 Areas. 
 
 South. 
 Areas. 
 
 S. 5 00' W. 
 
 5.08 
 
 
 5.06 
 
 
 .45 
 
 141.11 
 
 140.66 
 
 
 714.0166 
 
 S. 85 05 W. 
 
 70.48 
 
 
 6.02 
 
 
 70.33 
 
 70.33 
 00.00 
 
 
 423.3866 
 
 N. 25 00 E. 
 
 12.37 
 
 11.21 
 
 
 5.23 
 
 
 5.23 
 10.46 
 
 58.6283 
 
 
 
 
 
 .13 
 
 65.55 
 
 
 76.01 
 141.56 
 
 
 9.8813 
 
 
 
 11.21 
 
 11.21 
 
 70.78 
 
 70.78 
 
 
 58.6283 
 
 1147.2845 
 
 160 
 
 58.6283 
 11088.6562 
 k 544Y~ 
 
 UsoA 3 
 
 64 
 
 A. dr. Rods. 
 CONTENTS 3 1 24 
 
 No. IX. 
 ON BOUNDS AND ROADS. 
 
 As the magnetic needle cannot be relied on in renewing 
 lost boundaries, it is of the first importance that good, sub- 
 stantial bounds, be kept up. In divisions, or distributions of 
 lands, surveyors ought to see that such bounds are erected. 
 It is their business to cause them to be made, and such 
 bounds ought to be described in deeds, or in the instruments 
 by which lands are conveyed, and to be a part of the record. 
 By proper care and attention to this part of the business, 
 many disputes may be prevented. 
 
 Highways are attended with more difficulties of this kind, 
 
128 APPENDIX. 
 
 than the location of the divisions of real estate. In laying 
 highways, it is the common practice to lay the centre lines, 
 and order the roads to be of a certain width, and stakes are 
 usually set at the angles. Care is not often taken to set 
 bounds -on the sides, and when the roads are made the cen- 
 tre bounds are destroyed, and the travelling path is often 
 built on one side of the centre ; but as the bounds are lost, 
 it is utterly impossible, after a few years have elapsed, to 
 ascertain by the survey where the road was laid. 
 
 Surveyors who are employed on such business ought to de- 
 scribe the angles, or as many as is practicable, in such a 
 manner that the road may afterwards be found. 
 
 It taking surveys of roads, the distance on each proprie- 
 tor's land must be noted, for the purpose of assessing dam- 
 ages; but these distances need not be entered in the record. 
 The whole distance on each course must be entered in the 
 record, and it is no matter whether it crosses the land of one 
 or of ten different owners. 
 
 The following, being a resurvey of a part of the New 
 London and Lyme turnpike road, as was recently taken, is 
 prepared for record, and it may serve as an example. 
 
 As there is no object of sufficient permanency directly 
 against the point of the beginning of said road, it may be 
 found by the following direction. 
 
 From a point, 35 links northerly of the northwest -corner 
 of B. Brown's stone house, in the range of the west side, run 
 (as the magnetic needle now points*) S. 66 25' W. 1 
 chain 56 links to the centre of a stone set in the ground be- 
 neath the surface, which is the point of beginning of said 
 road thence, on the same course (S. 66 25' W.) 4 chains 
 60 links, to a point 49 links northerly of the northwest 
 corner of G. Jones' store, in the range of the west side ; 
 thence S. 79 25' W. 1 1 chains 52 links to a point 48 links 
 northerly of the northeast corner of the Norris house, in the 
 range of the east side; thence S. 80 10' W. 17 chains 29 
 links to a point 50 links northerly of the northeast corner of 
 the Chester house, in the range of the east side. The line 
 described by the foregoing survey, is the centre of the road 
 which is four rods in width. 
 
 An angle in a road may be described by its bearing and 
 distance from some permanent object, such as the corner of 
 a building, the centre of a well, a point of a rock, a tree, &c. 
 In cases where no permanent object is near an angle, the 
 side bounds ought to be set before the Committee or Com- 
 
 * June, 1835. 
 
APPENDIX, 129 
 
 missioners, (as they may be named) proceed any further in 
 the location of the road. 
 
 When the centre line of a road is laid, the distance which 
 it runs on any proprietor's land may be multiplied by the 
 width of the road, and the product will be the quantity of land 
 taken. 
 
 Whether the centre or a side of a road is laid, the lines al- 
 most uniformly cross the boundary lines of lots of land in 
 such oblique directions, that if a side is laid, it will require 
 too much time to ascertain the exact quantities of land, which 
 will be taken from different proprietors. 
 
 Other advantages will be found by laying the centre line of 
 a road, which need not here be mentioned. 
 
 DIRECTIONS FOR TAKING MINUTES ON A ROAD. 
 
 rods, links. 
 
 S. 11 15' E. 17 00 on W. H.'s land. 
 + 30 00 on R. S.'s 
 
 -f 89 00 on T. B.'s 
 
 f 1 00 rod on old road. 
 
 Whole distance L37i 
 
 No. X. 
 
 ON DISTRIBUTING ESTATES. 
 
 As the distribution of estates is connected with surveying, 
 something on that subject may, with propriety, be added to 
 this work. 
 
 Surveyors are agreed that written distributions of real 
 estate are often, and too often, returned to Courts, accepted 
 and recorded, which are so unintelligible that it is extremely 
 difficult and sometimes impossible to ascertain, with any de- 
 gree of certainty, where the divisions of land were originally 
 made. 
 
 In distributing estates, surveyors have the minutes, and it 
 properly belongs to them to write the distributions. 
 
 To young learners who are coming forward to take an ac- 
 tive part in this business, some directions may be given. 
 
 The divisions of land among heirs, in most cases, are first 
 made on paper. When these are completed and agreed to 
 12 
 
130 APPENDIX. 
 
 by the distributors, erect the bounds between the several 
 divisions. Next, from the map on which the divisions were 
 made, which will be full of marks, and perhaps some blots, 
 copy a neat handsome map on new paper, noting thereon all 
 the courses and distances, and all the bounds, which should 
 be entered in the distribution. Also, note in each division 
 of the map the quantity of land it contains, with the name of 
 the heir to whom it was distributed This map is to be kept 
 by the heirs. Next write the distribution, and before it 
 shall be returned to Court, see that the heirs have a copy 
 of it. 
 
 With a map and a copy of the distribution, the heirs will 
 have a record in their own house, from which, at any future 
 period, they may find the divisions of their land. 
 
 The following form of a distribution has been approved 
 by experienced Judges* of Probate Courts. 
 
 To the Honourable Court of Probate for the District of 
 Rockingham. 
 
 The undersigned, distributors of the estate of BENJAMIN 
 BANISTER, Esquire, late of Applebury, within said district, 
 deceased, have distributed said estate, under oath, as fol- 
 lows : 
 
 To PHILURA BANISTER, widow of said deceased, as her 
 right of dower in said estate, fifty acres of land lying on the 
 front of the farm, bounded as follows: Beginning at the 
 northwest corner of said farm by the highway, thence run- 
 ning east by Roderick Random's land, 50 rods to a maple 
 tree, thence south parallel with the highway 160 rods to a 
 hemlock tree by Thomas Trunnion's land, thence west by 
 said Trunnion's land 50 rods to the highway, thence north 
 by said highway 160 rods to the place of beginning. Also, 
 the following parts of the dwelling house [describe the parts.] 
 Also, the following parts of the barn [describe the parts, and 
 of other buildings.] 
 
 PERSONAL ESTATE. 
 
 Scott's Bible, $15. Bed, curtains, &c. $45. Look- 
 ing glass, $15. - - $75.00 
 
 To BENJAMIN B. BANISTER, the north division of the 
 farm, containing one hundred acres, being partly encumber- 
 ed by dower, bounded as follows : Beginning at the north- 
 
 * Called Surrogates in some states. 
 
APPENDIX. 131 
 
 west corner of said farm, thence running east by Roderick 
 Random's lands 200 rods, to a beech tree by Oliver Gulliver's 
 land, thence south by said Gulliver's land, 80 rods to a 
 spruce tree, thence west by land set to Matilda Banister, par- 
 allel with said Random's land, 200 rods to a white pine tree 
 by the highway, thence north by said highway, 80 rods to the 
 place of beginning. 
 
 Also, one undivided half of all the buildings belonging to 
 said estate, being partly encumbered by dower. 
 
 Said division of real estate is appraised at - $2500.00 
 
 PERSONAL ESTATE. 
 
 One horse, $100. Two yoke of oxen, $130. Ox 
 wagon, $50. $280.00 
 
 To MATILDA BANISTER, the south division of the farm, 
 being the remainder and residue of said farm, containing one 
 hundred acres, and is 80 rods in width from front to rear, 
 being partly encumbered by dower, bounded as follows : 
 North on the division set to Benjamin B. Banister, south on 
 Thomas Trunnion's land, east on Oliver Gulliver's land, 
 west on highway. 
 
 Also, one undivided half of all the buildings belonging to 
 said estate, subject, in part, to incumbrance. 
 
 Said division of real estate is appraised at - $2500.00 
 
 PERSONAL ESTATE. 
 
 Bed, curtains, &c. $45. Mahogany table, $12. 
 
 Set of silver spoons, $18 $75.00 
 
 Said widow and said heirs have equal privileges of passing 
 to and from any and every part of the real estate .set to each 
 of them in the foregoing distribution, at the usual passways, 
 such as doors, stairs, gates, bars, lanes, paths, &c. 
 
 HUGH HUNTER, 
 CHARLES CHALKER. ' 
 Applebury, July 30^, 1832. CHRISTOPHER CUTLER. 
 
 The foregoing caption or preamble is sufficient, as it will 
 appear of record that the distributors were appointed. Forms 
 of distribution must vary according to circumstances. 
 
 No. XL 
 ON LEVELLING. 
 
 It is not expected that land surveyors will qualify them- 
 
132 
 
 APPENDIX. 
 
 selves for civil engineers, or that they will furnish themselves 
 with suitable instruments for that business, but every survey- 
 or should furnish himself with, an instrument with which he 
 can take levels and angles of elevation* or depression, with 
 a sufficient degree of accuracy to answer in cases of locating 
 roads, of ascertaining whether water may be carried in an 
 aqueduct from one place to another, and to ascertain the fall 
 of mill seats ; also, to answer in all common cases. A cheap, 
 simply constructed instrument, represented by the following 
 figure, is recommended 
 
 Let A B be a strip of a board three inches wide and three 
 feet in length, or longer if necessary, made perfectly straight 
 on the top. The perpendicular piece, which is dove- 
 tailed into the top, should be of such a width at the bottom 
 that it may be graduated either way from the centre, ten or 
 fifteen degrees ; and of such a length that the radius by which 
 the graduated arch is swept, should be at least a foot. Great 
 care must be taken in the graduation, to have it done cor- 
 rectly, and by fine lines, and to have the centre perpendicu- 
 ar or at right angles with the top. The plumb line should 
 be a fine smooth silk thread or hair. At z, a hole should be 
 bored of a suitable size to set it on the head of a compass 
 staff. Such an instrument, if correctly made, will answer all 
 the purposes before mentioned.! 
 
 Before directions are given for levelling, the difference 
 between the apparent, and the true level, will be explained. 
 The former is a tangent, or a straight line, drawn and con- 
 
 * An angle of elevation rises above a horizontal line ; a depression 
 falls below it. 
 t This instrument may be improved by fixing sights on the top. 
 
APPENDIX. 133 
 
 tinued from any point on the globe, the surface continually 
 departing from it. The latter is the curvature of the earth, 
 or a line parallel with it, like two concentric circles, each 
 part of the true level, whatever may be its length, is equidis- 
 tant from the centre of the earth. The straight line m n, in 
 the following figure, represents the apparent, and the curved 
 line a z, the true level. 
 
 n 
 
 Let the above described instrument be set on any part' of 
 the ocean, and be levelled by the plummet, the top being even 
 with the surface of the water, and let a line with the top be 
 continued; as the plummet hangs directly towards the centre 
 of the earth, it is evident that this line is a tangent, and at 
 the end of one mile it will be 8 inches, at the end of 10 miles 
 66 feet 4 inches, and at 20 miles, 266 feet above the surface 
 of the water. m 
 
 In levelling between two points at a considerable distance 
 apart, where the instrument must be often set, as the plum- 
 met, like the spokes in a wheel, each time hangs directly 
 towards the centre of the earth, it will keep the top of the 
 instrument on the true level, provided it is set on the centre 
 of each stationary distance. But when the level is taken 
 from the first to the second station, and from the second to 
 the third, and so on in succession to the end, each level will 
 be a tangent ; of course, the apparent level will be taken. 
 
 The surveyor should also be furnished with two observa- 
 tion staves, ten feet, or more, in length, divided into feet and 
 inches. These staves should be committed to the care ' of 
 Uvo skilful men, who will keep them perpendicular at the 
 stations, and who will be correct in their assistance in taking 
 the observations. Suppose the first stationary distance, on 
 which a level is to be taken, is 20 rods. The staves must 
 be erected at each terminating point, and the surveyor must 
 take his station equidistant from each. A target must be 
 raised on each staff as the surveyor may direct. 
 
 If the level strikes the back staff 7 feet, and the forward 
 staff 2 feet, above the surface, it is apparent that the rise be- 
 tween the stations is 5 feet ; but the substraction need not be 
 made, each observation should be entered in its respective col- 
 umn, under the head of fore heights and back heights, or fore 
 sights and back sights, as the surveyor may choose to term 
 them. 
 
 When the first observation is completed, the back staff 
 should be carried forward to a convenient place, and the 
 12* 
 
134 APPENDIX, 
 
 second observation taken as the first. In like manner the 
 rest of the observations must be taken and entered in their 
 respective columns. 
 
 If the sum of the back sights shall exceed the fore sights, 
 the terminating point is higher than the place of beginning ; 
 but if the sum of the fore sights shall exceed the back sights, 
 then the terminating point is lower than the point of begin- 
 ning, as will appear by the following examples. 
 
 FIRST EXAMPLE. 
 
 Pore sights. Back sights. 
 
 Feet. Inches. Feet. Inches, 
 
 1st Observation 7 00 00 
 
 2d " 8 00 2 00 
 
 3d " 8 00 1 00 
 
 4th " 7 00 2 00 
 
 5th " 7 00 2 00 
 
 6th " 1 00 7 00 
 
 7th M I 00 8 00 
 
 8th " 1 00 8 00 
 
 9th " 1 00 8 00 
 
 10th " 00 8 00 
 
 41 00 46 00 
 
 41 00 
 
 Difference 5 00 
 
 The terminating point is 5 feet higher than the point of 
 beginning. 
 
 SECOND EXAMPLE. 
 
 Fore sights. Back sights. 
 
 Feet. Inches. Feet. Inches. 
 
 1st Observation 7 00 00 
 
 2d " 8 00 2 00 
 
 3d " 8 00 1 00 
 
 4th " 7 00 2 00 
 
 5th " 7 00 2 00 
 
 6th - 1 00 7 00 
 
 7th " . 1 00 8 00 
 
 8th " 1 00 8 00 
 
 9th " 1 00 8 00 
 
 41 00 38 00 
 
 38 00 
 
 Difference 3 00 
 
APPENDIX. 135 
 
 The terminating point is 3 feet lower than the point of 
 beginning. 
 
 When the sums of the two columns are equal, the ex- 
 treme points are on the same level. It will not be necessa- 
 ry to enter the stationary distances in the field notes, unless 
 the whole distance between the two extreme points, or a pro- 
 file of the surface, is wanted. 
 
 On a distance of 80 rods, the difference between the ap- 
 parent and true level, is half an inch ; at half a mile, two 
 inches. 
 
 In levelling to ascertain how high a dam across a stream 
 may be raised without flowing the meadows, or impeding 
 the wheel of a mill above, great caution should be observed, 
 for if a dam is raised to a level with a point 80 or 100 rods 
 above, to which it may be supposed that water may flow 
 without damage, it will rise higher at that point than any 
 one would suppose, who has not investigated the subject. 
 The rise of water at the head -of a pond, will depend in a 
 great measure on the width of it, and on the size and force 
 of the stream. 
 
 In locating roads, sometimes it is necessary to ascertain 
 the difference between the elevation of the hills on two 
 routes, both proceeding from one and terminating at the 
 same point. Though the difference, of itself, between the 
 rise and fall on two routes, may not in all cases be a correct 
 rule by which to give preference, yet this evidence, with a 
 comparison between the steepness of the hills on two routes, 
 is sufficient. 
 
 To perform this service by the slow process of levelling 
 for the conveyance and rise of water, would be attended 
 with an expense which the case would not justify ; therefore, 
 a more expeditious method will be pointed out. At conve- 
 nient distances, take all the angles of elevation and of de- 
 pression, with the instrument before described, measuring 
 the distance between each station. These angles will be 
 taken more correctly by back sights, as the surveyor can 
 better select proper places for taking them than an inexpe- 
 rienced assistant. The courses or bearings of the several 
 stationary distances, may or may not be taken with a com- 
 pass. 
 
 The elevation of the hills may be ascertained as correctly 
 without the courses as with them. If the courses are taken, 
 it will require more time and expense. Having measured 
 all the stationary distances, and taken all the angles of ele- 
 vation and depression on a route, arrange them, as in the 
 following table. The first column contains the number of 
 
136 
 
 APPENDIX. 
 
 stations; the second, the distances in rods; the third, the 
 degrees of elevation or depression, with the letter E. or D. 
 against them. The column H. D. contains the horizontal 
 distance made on each line. The horizontal distance, with 
 the elevation or depression against it, is the same as the 
 latitude and departure on a course taken by the compass. 
 The column P. H. contains the perpendicular height at the 
 end of each line above the horizontal line. This column, in 
 this case, is formed by adding the elevations, and bysubstract- 
 ing the depressions. 
 
 it 
 
 o 
 
 Dist. 
 
 rods. 
 
 o 
 
 
 H.D. 
 
 E. 
 
 D. 
 
 P.H. 
 
 1 
 
 50. 
 
 4 
 
 E. 
 
 49.88 
 
 3.49 
 
 
 3.49 
 
 2 
 
 40. 
 
 5 
 
 E. 
 
 39.85 
 
 3.49 
 
 
 6.98 
 
 3 
 
 30. 
 
 3 
 
 E. 
 
 29.96 
 
 1.57 
 
 
 8.55 
 
 4 
 
 20. 
 
 2 
 
 D. 
 
 19.99 
 
 
 .70 
 
 7.85 
 
 5 
 
 40. 
 
 4 
 
 D. 
 
 39.90 
 
 
 2.79 
 
 5.06 
 
 6 
 
 50. 
 
 3 
 
 D. 
 
 49.93 
 
 
 2.62 
 
 2.44 
 
 7 
 
 45. 
 
 1 
 
 ~c^ 
 
 44.99 
 
 .79 
 
 
 3.23 
 
 8 
 
 40. 
 
 4 
 
 E. 
 
 39.90 
 
 2.79 
 
 
 6.02 
 
 9 
 
 50. 
 
 3 
 
 E. 
 
 49.93 
 
 2.62 
 
 
 8.64 
 
 10 
 
 40. 
 
 1 
 
 E. 
 
 39.99 
 
 .87 
 
 
 9.51 
 
 
 
 
 
 
 15.62 
 
 6.11 
 
 
 By this calculation it appears that the sum of the eleva- 
 tions amount to 15.62 rods, or to 257 feet 8f- inches, and the 
 depressions amount to 6.11 rods, or to 100 feet 9 f inches, 
 which may be thus expressed, 257 feet 8f inches rise, and 
 100 feet 9f inches fall. It also appears that the hill at the 
 terminating point is 24 links, or 15 feet 10 inches, higher than 
 the top of the first hill. 
 
 By this method of taking elevations, they are the appa- 
 rent level, but this will answer the purpose for locating 
 roads. 
 
APPENDIX. 137 
 
 DIRECTIONS TO MAKE A PROFILE OF THE ABOVE SURVEY. 
 
 Lay the plan on a scale of ten rods to an inch. Draw a 
 straight line about 3 feet in length for a' horizontal line. 
 On this line lay down, the several horizontal distances as 
 they stand in the table. At the end of each of these dis- 
 tances lay down the perpendicular height which stands 
 against it, at right angles with the horizontal line. From 
 one of these points to another, draw a line from the begin- 
 ning to the end, which will represent the surface of the 
 ground. 
 
 Profiles of roads, or of certain hills on roads, are good 
 evidence to carry into courts, in disputed cases of this kind. 
 When such testimony is exhibited, the elevations of hills 
 should be given in feet and inches, Also, the rise and fall 
 should be given in this measure. 
 
 MISCELLANIES. 
 
 TO REDUCE CHAINS AND LINKS TO FEET AND INCHES. 
 RULE. 
 
 Multiply the chains and links, or any number of links 
 less than a chain, by 66, the number of feet in a chain, and 
 from the product point off two figures at the right, for deci- 
 mals. The figures at the left will be feet. Multiply the de- 
 cimals by 12, the number of inches in a foot, and point off 
 two figures at the right. Those at the left will be inches. 
 Multiply the last decimals by 4, and point off two figures at 
 the right, and that at the left will be quarters of an inch. 
 
 EXAMPLE. 
 
 In 2 chains 22 links, how many feet and inches 1 
 ch. 1. 
 2.22 
 66 
 
 1332 
 1332 
 
138 APPENDIX. 
 
 104 
 52 
 
 6.24 
 4 
 
 .96 Ans. 146 ft. 6i in. nearly. 
 
 1O ASCERTAIN THE NUMBER OF INCHES IN A LINK. 
 
 As it will not increase 66 by multiplying- it by 1, multiply 
 66 by 12, and the product will be 7.92 inches. 
 
 TO REDUCE INCHES TO THE DECIMAL OF A FOOT. 
 RULE. 
 
 Annex two ciphers to the inches and divide that sum by 
 12, and the quotient will be the decimal required. 
 
 EXAMPLE. 
 
 What part of a foot is 9 inches ? 
 
 12)900(.75 
 
 84 
 
 60 
 
 60 Ans. 75 or 75-100. 
 
 TO REDUCE FEET AND INCHES TO CHAINS AND LINKS. 
 RULE. 
 
 Reduce the inches to the decimal of a foot, and annex that 
 to the feet ; or if there are no inches, annex two ciphers to 
 the feet, and divide that sum by 66, and the quotient will be 
 chains and links. 
 
 EXAMPLE. 
 
 In 440 feet 3 inches, how many chains and links ? 
 
 66)440.25(6.67 
 396 
 
 442 . 
 396 
 
APPENDIX. 130 
 
 465 
 462 
 
 3 Ans. 6 ch. 67 links. 
 
 When a piece of land is calculated by chains and links, 
 and the contents stand in acres and decimal parts of an acre, 
 it may be multiplied by the price of an acre, and the product 
 will be the amount. 
 
 EXAMPLE. 
 
 A piece of land 16 chains and 75 links in length, and 12 
 chains and 25 links in breadth, is sold for $25.25 per acre, 
 what is the price of it? 
 
 Length . 16.75 
 
 Breadth - - - 12.25 
 
 8375 
 3350 
 3350 
 1675 
 
 Acres and decimal parts, 20.51875 
 
 25.25 
 
 10259375 
 4103750 
 
 10259375 
 
 4103750 
 
 Answer, $518.09.84375, or $518.10. 
 
 What is the length of a side of a square which contains 
 6040 acres? 
 
 6040 
 4 
 
 24160 
 
 40 
 Logarithm of 966400 5.985 157 
 
 2.992578. Answer, 983.06 rods. 
 
 What is the length of a side of a square which contains 
 4 acres, or 640 rods ? 
 
HO APPENDIX. 
 
 Logarithms of 640 2. 806 180 
 
 1.403090. Answer, 25.3 rods. 
 
 A four sided figure, described by the following courses 
 and distances, is divided, into two triangles to find arithme- 
 tically the contents of each, and the amount of both, viz. 
 A, B. N. 10 E. 55 rods, B, C. S. 85 E. 65 rods, C, D. S. 8 
 W. 60 rods, D, A. N. 80 35' W. 66.85 rods. The supple- 
 ment of the angle contained between the two first sides is 
 85, what is the area of the triangle ? 
 
 Sine of 85 -. 9.998344 
 
 A, B. 55 rods 1.740363 
 
 B, C. 65 do. - 1.812913 
 
 Cancel the first figure 1,3.551620 Double area 3561 
 
 160)1780.5(11 
 160 
 
 180 
 160 
 
 A. a R. 
 
 Answer, 11 20 20.5 
 
 The angle contained between the two last sides is 88 35', 
 what is area ? 
 
 Sine of 88 35' - 9.999867 
 
 C, D. 60 rods 1.778151 
 
 D, A. 66.85 rods - 1.825101 
 
 Cancel the first figure 1,3.603119 Double area 4010 
 
 .160)2005(12 
 160 
 
 A. a R 405 
 
 Answer 12 2 05 320 
 First triangle 1 1 20 
 
 85 
 
 Whole contents 23 2 25^ 
 
 Perhaps the above is as short and as certain a method to 
 calculate the contents of an oblique angled, four sided figure, 
 as can be taken.* 
 
 * Any polygon may be reduced to triangles, and the contents cal- 
 culated by the same method. 
 
APPENDIX. 141 
 
 The method of calculating areas of such figures by multi- 
 plying together half the sum of the two opposite sides, is 
 incorrect, or the only certainty there is in it, is that of 
 making, in a greater or less degree, an excess of quantity. 
 In cities, it is the practice to measure lots by feet and 
 inches. 
 
 To calculate the areas of such lots, reduce the inches to the 
 decimal of a foot, annex such decimals to the feet to which 
 they belong, and calculate, as by other measure, which will 
 give the areas in square feet. 
 
 When it is required to give the areas of such lots in square 
 rods, and the contents stand in square feet, divide the feet 
 by 272.25, the number of square feet in a rod, and the quo- 
 tient will be the answer; or the feet and inches given in the 
 distances, may be reduced to chains and links, or to rods and 
 decimal parts of a rod, and the calculations made as in other 
 cases. In measuring city lots, as step-stones and other ob- 
 structions may be in the way, extend a rope across the front. 
 Let it be level, drawn tight, and made fast at each end. Mea- 
 sure on the rope; also, measure the other sides with equal 
 accuracy, if necessary. 
 
 In the two first editions of this work, a rule was inserted to 
 prove the correctness of the courses in a survey, but it was 
 afterwards discovered by Mr. Flint, and by others, that the rule 
 will prove courses to be correctly taken when they are incor- 
 rect. 
 
 The same rule has recently made its appearance in the 
 American Journal of Science and Arts, and it may take a 
 second tour among surveyors, under the character of an un- 
 erring rule. 
 
 FOR}* O A FIELD BOOK. 
 
 Beginning at a mere-stone at the south-west corner. 
 
 Rods. Links. 
 
 1. N. 25 00' E. 40 00 to a pine tree. 
 
 2. N. 10 00 E. 30 00 to a hemlock tree. 
 
 3. N. 75 00 E. 60 00 to a spruce tree. 
 
 4. S. 10 00 W. 36 00 to a beech tree. 
 
 5. S. 5 00 W. 40 00 to a maple tree, 
 
 6. S. 85 05 W. 70 12 to the place of Deginning. 
 
 On account of the diurnal motion of the magnetic needle, 
 in the warm season of the year, the courses in all surveys, 
 if practicable, should be taken before 9 o'clock in the morn 
 ing, 
 
 13 
 
142 APPENDIX. 
 
 Let this matter be investigated. A survey is commenced 
 at seven o'clock in the morning, but is not completed until 
 three o'clock in the afternoon. The course of the first line 
 is N. 5 E., and the distance is 70 rods. ' The departure on 
 this course and distance is 6.10 rods. 
 
 When the survey is completed, the bearing of this line is 
 again taken, and the course is N. 5 Q 10' E. The departure 
 is now 6.30 rods, five links more than it was in the morning. 
 , Every compass which is in such order as it ought to be, 
 will generally find in the summer, from morning to one 
 o'clock, as great a change as this, often greater, but seldom 
 less. 
 
 The writer knows not who invented the following rules for 
 finding contained angles, but they have been extensively 
 adopted into practice. 
 
 When the first letters are alike, and the last 
 unlike, add the courses. 
 
 When the first letters are alike, and the last 
 also, substract the less course from the greater. 
 
 N. 62 E. 
 
 N. 44 W. 
 
 S. 72 E. 
 
 S. 25 E. 
 
 N 64 F ? When the first letters are unlike and the last 
 
 a oro XT- > alike, add the courses, and substract their sum 
 
 K $from 180. 
 
 N 57 W ) When the first and the last letters are unlike, 
 Q 9*0 -p ? substract the less course from the greater, and 
 
 ~- > the remainder from 180. 
 
 To find the quantity of an angle, reverse the preceding 
 course, then both courses will run from the same point. 
 These rules are applied only when the first course is re- 
 versed. 
 
 EXAMPLE. 
 
 Two courses are given, viz. S. 62 W., and N. 44 W. to 
 find their contained angle. Suppose yourself standing at the 
 point where these courses meet. Reverse the letters of the first 
 course, and they will stand thus : 
 
 N! 44- W. I The first rula 
 
 The following figures were prepared for the sixth edition 
 of this treatise, by Mr. Barnard.* There is nothing in the 
 rules to which they are applied, different in principle from the 
 preceding ones, but they do not require the first course to be 
 reversed. 
 
 * Such notes on the text as are signed ED., were made by Mr, Barnard. 
 
APPENDIX. 
 
 143 
 
 I. If the first letters are alike, and the last also, add the 
 less course to the supplement of the greater. 
 
 II. If the first letters are alike, and the last unlike, sub- 
 stract the sum of the courses from 180. 
 
 III. If the first letters are unlike, and the last alike, add the 
 courses. 
 
 IV. If the first letters are unlike, and the last also, sub- 
 stract the less course from the greater. 
 
 " A set of figures like the following, well fixed in the mind, 
 will be a great assistance to the learner." 
 
 RULE 1st. 
 
 N. 20 E. 
 N. 70 E. 
 
 RULE 2d. 
 
 N. 500 E> 
 N. 40 W. 
 
 JS 
 
 RULE 3rd. 
 N. 25 E. 
 S. 60 E. 
 
 RULE 4th. 
 
 N. 82 E. 
 S. 25 W. 
 
 " It will be seen that the required angle, in each case, is 
 A,B,C." 
 
144 APPENDIX. 
 
 CONVERGING OF MERIDIANS. 
 
 Two meridians cannot be run by the compass parallel to 
 each other, for they will diverge towards the equator, and 
 converge towards the pole. 
 
 The length of a degree of longitude in any parallel of 
 latitude, is to the length of a degree upon the equator, as the 
 co-sine of that latitude is to radius. 
 
 The following proportion will give the length of a degree 
 of longitude in any parallel of latitude. 
 
 As radius is to the length of a degree on the equator, so 
 is the co-sine of the latitude, to the length of a degree on 
 that latitude. This rule may be applied either to geographi- 
 cal or to statute miles. 
 
 A degree on the equator of geographical measure, is 60 
 miles ; that of statute measure has been estimated at 69^ 
 miles, but this estimate is too great. 
 
 The earth is considered a sphere, 7930 statute miles in 
 diameter. By the rules contained in this book for calcula- 
 ting the circumference of a circle, when the diameter is 
 given, the circumference of the earth will be found 24912.8 
 miles. This number divided by 360, gives a quotient of 69.2, 
 the length of a degree upon the equator. 
 
 FIRST EXAMPLE. 
 
 What is the length of a degree of longitude in geographi- 
 cal miles in latitude 42 ? 
 
 As radius 10.000000 
 
 : is to 60 miles 1.778151 
 
 : : so is co-sine of latitude 42o 9.871073 
 
 11.649224 
 10.000000 
 
 : Answer, 44.59 miles. L649224 
 
 SECOND EXAMPLE. 
 
 What is the length of a degree of longitude in statute 
 miles in latitude 42 ? 
 
 As radius .... 10.000000 
 
 : is to 69. 2 miles - 1.840106 
 
 :: so is co-sine of lat. 42 - - 9.871073 
 
APPENDIX, 145 
 
 11.711179 
 
 10.000000 
 
 Answer, 51.42 miles. 1.711179 
 
 DIVERGENCE OF THE COMPASS FROM PARAL- 
 LELS OF LATITUDE. 
 
 When a meridian crosses a parallel of latitude, the angles 
 on the side opposite to the equator are equal, and each con- 
 tains less than 90 ; of course, those on the other side are equal, 
 and each contains more than 90. This is demonstrated by the 
 meridians and parallels on a globe. The difference between 
 the first and second angles, depends on their distance from 
 the equator. In 70 of latitude, the two first are less, and 
 the two last are greater than they are in 10 of latitude. 
 
 When the compass is set on a parallel of latitude, at right 
 angles with a meridian, it is apparent that each angle con- 
 tains 90; of course the compass will not run on that paral- 
 lel, but will diverge from it, and by continual running will 
 arrive at and run on the equator. 
 
 In 70 of latitude, the compass tends towards the equator 
 faster than it does in 10, hence it is evident that an east or 
 west line, run by the compass, is not straight, but is curved. 
 
 On an extensive plain, let a line be run east or west to the 
 distance of some miles ; then from the terminating point, 
 back on the opposite course, the compass will not return on 
 its first track to the place of beginning, but will fall towards 
 the equator. 
 
 The divergence of the compass from parallels of latitude, 
 cannot materially affect common land surveying ; but lines 
 10, 20, or 30 miles in length, when designed to be run on 
 particular parallels, will be affected by it, unless calculations 
 are made to keep the compass on such parallels. 
 
 QUESTIONS. 
 
 1. At a certain point, I took the elevation of a tower, 3 
 15', then measured towards the tower on an angle of depres- 
 sion 7 333 feet, to a level with the base of the tower ; when I 
 took the elevation again, 8. Required, the height of the 
 tower, and the distance from the second place of observation 
 to the base ; also, how much higher the land was at the place 
 of the first observation, than at the second. 
 13* 
 
146 APPENDIX, 
 
 Answer. Height 99.6 feet. 
 
 Distance required - 708.6 feet. 
 Difference in height of land 40.58 feet. 
 
 2. Two persons made observations on the altitude of a 
 meteor, both being on the same side of it, and in a vertical 
 plane passing through it. The distance between their sta- 
 tions was 200 rods, and at one, the angle of elevation was 36 
 25', at the other 32 50', and at the last the disk of the meteor 
 subtended an angle of 5'. Required, the distance from the 
 last place of observation, also the height and diameter of it. 
 
 M. a. R. 
 
 Answer. The distance 5 3 60 
 Height, 3 70 
 
 Diameter, 45 feet 5- inches. 
 
 3. From the top of a steeple 165 feet high, the angle of 
 depression of the nearest bank of a river is 11 15', that of 
 the opposite bank is 6 15'. Required, the width of the 
 river. 
 
 Answer, 41.13 rods. 
 
 4. What length of cart tire will it take to band a wheel 5 
 feet in diameter ? 
 
 Answer, 15 feet, 8J inches. 
 
 5. A gentleman laid out a garden in a circle, containing 
 one acre, one quarter, and one rod, with a gravelled walk 
 on the outer side of it within the circle, which took up twelve 
 rods of ground. What is the diameter of the circle, and 
 what is the width of the walk ? 
 
 Answer. The diameter 16 rods width of the walk 4 feet. 
 
 6. Neptune laid out 1,000 square miles of the surface of 
 the sea in a circle, and sold to ^Eolus all that part of it 
 which lies without a concentric circle of one third of the 
 diameter. What is the diameter, and how much was sold ? 
 
 Answer. The diameter 35.68 miles. 
 The quantity sold 888.92 square miles. 
 
 7. A farmer laid out an elliptical orchard, the longest di- 
 ameter of which was 30 rods, and the shortest was 20 rods, 
 and enclosed the same with a wall two feet thick within the 
 figure. What is the quantity within the wall, and how much 
 is covered by it ? 
 
APPENDIX. 147 
 
 A. a R. 
 
 Answer. Within the wall 2 3 22 
 Covered by the wall 9.3 
 
 8. From a point in an equilateral triangle, I measured the 
 distances to each corner, and found them 20.28, and 31 rods. 
 Required the area and the length of the sides.* 
 
 A. a. R. 
 
 Answer. The area 5 1 36 
 
 Length of each side 45 rods. 
 
 9. Required the dimensions of a parallelogram containing 
 one acre and a half, bounded by 64 rods of fence. 
 
 Answer, 12 by 20 rods. 
 
 10. The area of a parallelogram is five acres, one quarter, 
 and thirty five rods, and the diagonal is 43 rods. Required 
 the length of the sides. 
 
 Answer, 35 by 25 rods. 
 
 11. Required the dimensions of a parallelogram contain- 
 ing twenty-six acres, one quarter, and twenty-four rods, 
 when the length exceeds the breadth by fifty-two rods. 
 
 Answer, 44 by 96 rods. 
 
 12. Required the dimensions of a parallelogram contain- 
 ing 250 acres, when the sides are in the proportion of 
 7 to 3. 
 
 Answer, 305 % by 130.93 rods. 
 
 13. John and Jonathan divided a lot of land equally as to 
 value, which contained 600 acres, and which was appraised 
 at $2 per acre. John's division was valued at 50 cents per 
 acre more than Jonathan's. What were the contents and 
 price per acre of each division. Answer. John's division 
 contained 263 acres and 12 rods, and the price per acre was 
 $2.28 1-10 nearly. 
 
 Jonathan's division contained 336 acres, 3 roods, and 28 
 rods, and the price per acre was $1.78 1-10 nearly. 
 
 14. The state of Connecticut contains a little more than 
 4,828 square miles, or 3,090,000 acres, including rivers, har- 
 bours, creeks, roads, &c. If this quantity is laid in a square, 
 what will be the length of a side ? 
 
 * This may be solved geometrically. 
 
148 APPENDIX. 
 
 M. a. R. 
 
 Answer, 69 1 75.11, 
 
 One word of advice to the young- surveyor, who is com- 
 ing forward to be useful in his occupation, will close the ap- 
 pendix. 
 
 In the choice of assistants to perform practical operations, 
 never call to your aid Sir Richard Rum. He frequently 
 changes his name to brandy, gin, whiskey, $c. He is trea- 
 cherous, and he causes the head to whirl, the body to reel, 
 and the foot to stumble. 
 
 By his might, the strong man has fallen, and the promis- 
 ing youth has been brought to an untimely grave. 
 
 If you employ Sir Richard, your columns of latitude may 
 differ too much for correct work, and your columns of de- 
 parture may be still worse. He never can render you the 
 least service in establishing your reputation as an accurate 
 surveyor, but there is danger that he may do much to destroy it. 
 
 NOTE. Such theory as is more curious than useful, how- 
 ever correct it may be, has been excluded from the appendix. 
 The plainest methods have been selected. On some points, 
 the Author has been more minute, on account of the fact 
 that many copies of this book are bought by men who do 
 not expect to be surveyors, and who do not place themselves 
 under instructors. 
 
 If some repetition is to be found in this work, the learner 
 will find less fault with it than the critic. 
 
 Hebron, (Conn.) June, 1835. 
 
LOGARITHMS. 
 
 THE learner, who, for the first time, becomes acquainted with the 
 wonderful properties of Logarithms, may be not a little surprised to 
 find himself introduced to a system of numbers, so new in their nature, 
 and which, surpassing all his former knowledge of figures, afford so 
 many facilities for shortening the labour and lessening the difficulty of 
 arithmetical calculations. 
 
 He will admire to find, that by help of these, the labour of hours, and 
 in some calculations, even the labour of days, may be reduced to as ma- 
 ny minutes ! The invention of Logarithms was justly regarded as " a 
 favour from heaven;" because, in many departments of science, essen- 
 tial to the happiness of man, they have saved him ages of toil. 
 
 Although it does not come appropriately into the design of a work 
 like this, to enter minutely into the history of their invention, nor the yet 
 more difficult process by which they were originally constructed, yet a 
 familiar explanation of their properties and uses, adapted to the appre- 
 hension and wants of the practical surveyor, is necessary, in order to his 
 making a proper application of their great advantages in practice. 
 
 Logarithms, then, we may first observe, never stand for the numbers 
 themselves, of which they are composed, but invariably for other num- 
 bers, of \vhich they are only the representative exponents, or indices. 
 Their great utility in arithmetical operations, consists, chiefly, in this, 
 that addition takes the place of multiplication, and substraction that 
 of division. That is, to multiply numbers, we have only to add their lo- 
 garithms ; to divide, we have only to substract the logarithm of the divi- 
 sor from that of the dividend ; to raise a number to any power, we multi- 
 ply its logarithm by the exponent of that power ; and to extract the root of 
 any number, we merely divide its logarithm by the number expressing the 
 root to be found. 
 
 The constant number upon which the tables in common use are con- 
 structed, and which is called the base of the tables, is 10; and every 
 conceivable number, large or small, integral, mixed, or decimal, is 
 considered as some ascertained power or root of 10. 
 Indices. Numbers. Logarithms. 
 
 10 1 the first power of ten is 10, whose exponent is 1. 
 
 10 2 the second power of ten is 100, whose exponent is 2. 
 
 10 3 the third power often is 1,000, whose exponent is 3. 
 10* the fourth power of ten is 10.000, whose exponent is 4. 
 10 5 the fifth power of ten is 100,000, whose exponent is 5. 
 10 s the sixth power of ten is 1,000,000, whose exponent is 6. 
 
 NOTE. It may be remarked, that the first power of any number, is that number 
 once repeated, or it is the number itself: The second power of any number is 
 the product of that number multiplied once by itself: The third power of a num- 
 ber, is the product of the number multiplied twice by itself; the fourth power 
 of a number, is the product multiplied three times by itself, &c. The index de- 
 noting the power, is called, in common arithmetic, the exponent of that power; 
 and is, in other words, the logarithm of the power. 
 
 Logarithms, then, are the Exponents of a series of powers and roots. 
 
 In the above series, the logarithms indicate how many ciphers belong 
 to their corresponding numbers. Thus, the logarithm 1 stands for 10, 
 or 1 and one cipher ; the logarithm 2 stands for 100, or 1 and two ci~ 
 
150 APPENDIX. 
 
 phers ; the logarithm 3 for 1000, or 1 and three ciphers, &c. Now, if 
 we multiply 10,000 by 100, the product will be 1,000,000, whose loga- 
 rithm is 6; but to obtain this, we need only add the logarithms 2 and 4, 
 which stand opposite the numbers to be multiplied. On the contrary, 
 if we divide 1,000,000 by 100, the quotient will be 10,000, whose loga- 
 rithm is 4 : but to obtain this, we need only tosubstract 2, the logarithm 
 of the divisor, from 6, the logarithm of the dividend. 
 
 Again, the square of 1000, that is, the product of 1000 multiplied by 
 itself, is 1,000,000, whose logarithm is 6; but to obtain the square of 
 1000, we need only double its logarithm 3. On the other hand, the 
 cube root of 1,000,000 is 100, whose logarithm is 2 ; but this is obtained 
 by dividing 0, the logarithm of the given number, by 3, the index of 
 the root. Hence it is manifest, that the protracted labour of multiplying 
 or dividing one large number by another, the tedious evolution of roots, 
 and the various mistakes incident to long operations, may be almost 
 entirely obviated by the use of logarithms. 
 
 As the logarithm 1 is always 0, and that of 10 is but 1, the logarithms 
 of all numbers bdoiv 10, will be decimals; and as the logarithms in the 
 common system increase regularly by 1, according to the integral pow- 
 ers of 10, it follows that the logarithms of all numbers between 10 and 
 100, will be more than 1, but less than 2 that is, they will be 1 and a 
 decimal; the logarithms of all numbers between 100 and 1000, will be 
 between 2 and 3 that is, they will be 2 and a decimal; and the 
 logarithm of all numbers between 1000 and 10 ; 000, will be between 3 
 and 4 that is, 3 and a decimal. 
 
 A logarithm generally consists of two parts ; a whole number, and a 
 decimal. This whole number, or integer, is called the characteristic, or 
 index, of the logarithm, and is always one less than the number of inte- 
 gral figures in the natural number, whose logarithm is sought. As the 
 index of the. logarithm is omitted in the tables, it is important to recol- 
 lect the principle, or rule, by which it is to be supplied, whenever it is 
 wanted in calculation. Thus, the logarithm of 8 is 0.903090." Here, 
 the number (8) consists of but one figure, and the index of its logarithm, 
 being one less, must be 0. Again, the logarithm of 16 is 1.204120. 
 Here, the given number (16) consists of two figures, and the index of 
 its logarithm, being one less, must be 1. Again, the logarithm of 640 is 
 2.806180. Here, the given number (640) consists of 3 figures, and the 
 index of its logarithm, being one less, must be 2, &c. The rule holds uni- 
 versally true, that the index of a logarithm is always one less than the 
 number of integral figures in the natural number, whose logarithm is 
 sought. 
 
 The same rule holds in mixed numbers. The logarithm of 6.40 is 
 0.806180, the same as for 640, (see the last example,") differing only in 
 the index. Here, the integral part (6) of the given number, consists of 
 but one figure, and the index of its logarithm, being one less, must be 0. 
 And, generally, having obtained the logarithm of any number, large 
 or small, we have only to change the index, agreeably to the above 
 rule, in order to obtain the logarithm of every other number, consist- 
 ing of the same significant figures, whether they be integral, fractional, 
 or mixed. Thus : 
 
 The logarithm of 7596 is 3.880585 
 
 759 6 2.880585 
 
 75.96 1.880585 
 
 7.596 0.880585 
 
 .7596 1.880585 
 
 .07596 2.880585 
 
 ,007596 3.880585 
 
APPENDIX. 151 
 
 When the natural number is less than 1, the index of its logarithm 
 becomes less than 0, or negative ; and is indicated by placing the sign, 
 , just before, or above it. Suppose it were required to affix the proper 
 index to the logarithm of .000007596. Here, the number of cyphers 
 on the left, including the decimal point, is 6, which being fitted with the 
 negative sign, , becomes the proper index of the logarithm. And 
 Universally, The negative index is always equal to the number of ci* 
 phcrs on the left, including the decimal point. 
 
 Before any one can avail himself of the great advantages of loga- 
 rithms, in expediting the operations of Arithmetic and Trigonometry, 
 he must become so familiar with the tables, that he can readily find the 
 logarithm of any number; and, on the other hand, the number to 
 which any logarithm belongs. 
 
 DIRECTIONS FOR TAKING LOGARITHMS AND THEIR NUMBERS FROM THE TABLE. 
 
 NOTE. In the common tables, the Indices to the logarithms of the first 100 num- 
 bers are inserted. But for all other numbers, the decimal part only of the lo- 
 garithms is given : while the index is left to be supplied, according to the prin- 
 ciples already laid down. 
 
 PROBLEM I. To find the logarithm of a number between 1 and 100, 
 
 RULR. Look for the proposed number on the left; and against it, in 
 the next column, will be the logarithm with its index. 
 
 EXAMPLE. The logarithm of 50 is 1.698970. The logarithm of 89 
 is 1.949390. 
 
 PROBLEM II. To find the logarithm of any number between 1 and 
 1000: or of any number consisting of not 'more than three significant 
 figures, with, ciphers annexed. 
 
 RULE. Find the given number in the left hand column of the table, 
 next column, is the clecirr 
 index, as already taught. 
 
 EXAMPLE. The logarithm of 140 is 2,146128. The logarithm of 
 
 and directly opposite, in the next column, is the decimal part of its lo- 
 garithm, to which apply the i ' 
 
 781 is 2.892651 ; of 358 is 2.553883 ; of 974 is 2.988559. 
 
 The decimal part only of these logarithms are found in the table ; 
 the index 2, was affixed to each, because the given numbers consisted, 
 each, of three integral figures. If there had been ciphers annexed to 
 thefsignincant figures of the given numbers, as 1400, 35800, &c., their 
 logarithms would have been precisely the same, with the exception of 
 the index only ; and consequently, would be found in the same place in 
 the table. Thus : 
 
 The log. of 1400 is 3.146128. The log. of 781000 is 5.892651. 
 
 of 35800 4.553883. of 9740000 6.988559. 
 
 Here the decimal part of the logarithm is the same as before ; while 
 the index has been increased as many units, as there are ciphers annexed 
 to the given numbers. This rule will hold good in all similar cases. 
 
 PROBLEM III. To find the logarithm of any number consisting of 
 four figures, either with or without ciphers annexed. 
 
 RULE. Look for the three first figures, on the left hand, and for the 
 fourth figure, at the top of one of the columns ; the logarithm will be 
 
152 APPENDIX. 
 
 found opposite the three first figures, and in the column which, at the 
 head, is marked with the fourth figure. 
 
 By reference to the table, it will be seen, that each page contains ten 
 columns of logarithms, which are severally numbered from to 9. 
 The first column, alone, contains six figures; while every other column 
 has only four figures : but it is to be always remembered that the two 
 first figures of the left hand column, are common to each of the other 
 columns, and were omitted only to avoid repetition. These two initial 
 figures, therefore, are to be prefixed to each of the other four, since 
 every logarithm, in our table, consists of six figures, besides the index. 
 EXAMPLE. The log. of 3657 is 3.563125. The log. of 6704 is 3826334. 
 of 5696 is 3.755570. of 8512 is 3.930032. 
 
 In the last example, as it will frequently happen, the two initial 
 figures (93) of the logarithm, are not found, in the same line, with the 
 given number, (851,) but in the next below it: And, universally, 
 \vhenever the third figure of the logarithm changes, from 9 to 10, the 
 cipher only is retained in the column, while the one is carried down 
 to the next lower initial, on the left. To guard against a mistake here, 
 points have been substituted in place of ciphers; and wherever these 
 points are found, the ciphers are to be reinstated, and the two initials 
 taken from the line below. To be more particular, in the above exam- 
 ple ; on turning to page 14 of the logarithms, and against 851, the 
 learner will find 92 for the two initial figures, which he must prefix to 
 the other four figures in Ihe first and second columns, but no farther. 
 There he must stop, and taking the two initial figures in the line be- 
 low, against 852, carry them up to the third column, where ihe dots 
 commence, and prefix the same to each of the remaining columns: and 
 so in all similar cases. 
 
 PROBLEM IV. To find the logarithm of a number consisting of 
 five or six figures. 
 
 RULE. Find the logarithm of ihe first four figures of the give'n num- 
 ber, as taught in the last problem. Take the" remain ing figures and 
 multiply them into the number standing opposite, in the outside column, 
 headed D; from the right of the product, reject as many figures as yon 
 multiplied by, and add what is left to the logarithm previously found. 
 This sum, being fitted with a proper index, will be the logarithm 
 required. 
 
 EXAMPLE. Required the logarithm of 45263. Thus 
 
 The logarithm of 45260 is 4.655715 
 
 The difference D is 96, which being multiplied by 3 gives 28.8 
 
 Logarithm of 45263 required, 4.655743 
 
 EXAMPLE 2. Required the logarithm of 75893G. Thus 
 The logarithm of 75S900 is 5.880185 
 
 The difference D is 57, which, being multiplied by 36, gives 20.52 
 
 Logarithm of 758936 required, 5.880205 
 
 NOTE. This process of finding the logarithms of large numbers, supposes that 
 they increase in ihe same ratio as their numbers, which is not strictly true, 
 though sufficiently near the truth for general practice. It may be remarked, 
 however, that these ratios approach that of equality, the larger the numbers, 
 and the less they differ from each other. 
 
 The column marked D, contains the average mean differences of the 
 ten logarithms against which t-hey stand, and, consequently, do not al- 
 ways correspond exactly to each of the differences, taken separately; 
 
APPENDIX. 153 
 
 wherefore, when great accuracy is required, it may be necessary, par- 
 ticularly in the first part of the table, to work by 
 
 PROBLEM V. To find the logarithm of a number consisting of six 
 or seven figures, 
 
 RULE. Find the logarithm of the first four figures, as before, and take 
 the difference between this logarithm and the next greater, in the table ; 
 multiply this difference by the remaining figures of the given number; 
 reject, from the right of the product, as many figures as you multiply 
 by, and add what is left to the logarithm before found; this sum being 
 fitted with a proper index, will be the logarithm required. 
 
 EXAMPLE. Required the logarithm of 4526375. 
 
 To the first four figures, add as many ciphers as there are other fig- 
 ures in the proposed number, then find the logarithm, which substract 
 from the next greater. Thus 
 
 The next greater number is 4527000 and its log, is 6.655810 
 given number 4526000 6.655715 
 
 diff. of numbers, 1000 diff. of logs. 95 
 
 multiply by the other figures of the given number 375 
 
 for the proportional part to be added 35.625 
 
 to the log., of the first part 6.655715 
 
 and it gives the log. of 4526375, required. 6.655750 
 
 PROBLEM VI. To find the logarithm of a fraction. 
 
 RULE. Substract the logarithm of the denominator from that of the 
 numerator, or, reduce the fraction to a decimal, and take out the loga- 
 rithm as for a whole number, fitting it with a proper index. 
 
 EXAMPLE. Required the logarithm of f, or .75. 
 
 The log. of the numerator (3) is 0.477121 
 
 of the denominator (4) is 0.602060 
 
 Log. of |, or .75. Answer, 1 .875061 
 
 PROBLEM VII. To find the Noiural Nmnber belonging to any 
 logarithm. 
 
 RULE 1. If the logarithm be found within the limits of the table ; 
 that is, if its index do not exceed 3; then, neglecting the index, look 
 down in the column of logarithms, under 0, for the two or three first 
 figures of your given logarithm, and if you exactly find all the figures 
 of the given logarithm in that column, you will have the correspond- 
 ing number in the adjoining column, on the left. 
 
 RULE 2. If the logarithm be not found, exactly, in the column under 
 0, look through the other columns, on the right, till you find it exactly, 
 or very nearly ; and in the column of numbers directly against it, you 
 will have the first three figures of the number sought, to which join the 
 figure at the top of the column, in which the logarithm was found, and 
 you will have the number required. 
 
154 APPENDIX. 
 
 NOTE. When the number 4s found, you must point off decimals from it, or annex 
 ciphers to it, if necessary, to make it correspond with the Index of your loga- 
 rithm, as already taught. 
 
 EXAMPLES. 
 
 Logarithms. Numbers. 
 
 3.880585 7596 
 
 2.402089 252.4 
 
 1.514946 32.73 
 
 0.629919 4.265 
 
 1.811508 .6479 
 
 2.907680 .08085 
 
 3.962454 .009172 
 
 When great accuracy is required, and the given logarithm is not 
 exactly, or very nearly, found in the table, it will be necessary to re- 
 verse the rule, under Problem IV. or V. Thus : 
 
 ROLE 3. From the given logarithm substract the next less, in the 
 table ; annex to the difference as many ciphers as you wish the num- 
 ber of figures in the answer to exceed four. Then divide this differ- 
 ence by the common difference in the side column D, and annex the 
 quotient to the natural number belonging to the less logarithm, and you 
 will have the number required. 
 
 EXAMPLE 1 . Required the natural number belonging to the logarithm 
 
 3.441049 
 next less log. 3.440909 corresponding number 2760 
 
 divide by com. D= 157)14000(quotes 
 
 Number required, 2760.89 
 
 EXAMPLE 2. Required the number corresponding to the logarithm 
 3.441049. 
 
 The operation in this example, is the same as in the first. Having 
 found the corresponding number, as before, prefix the number of ci- 
 phers indicated by the negative index, thus, 0.00276089. 
 
 PROBLEM VIII. Directions for taking the logarithmic sines and 
 tangents, and the logarithmic co-sines and co-tangents, from the table. 
 
 NOTE. Logarithmic sines and tangents are the logarithms of the natural sines a'.id 
 tangents, which represent the length of the different sides of triangles. 
 
 RULE 1. If the given angle is less than 45, look for the degrees at 
 the top of the table, and the minutes on the left} then opposite the min- 
 utes, and under the word sine, at the head of the column, will be found 
 the logarithmic sine; under the word tangent, will be found the loga- 
 rithmic tangent, &c., of the angle required. Thus 
 
 Sine of 12 35' is 9.338176 Co-sine of 21 40' is 9968179 
 Tangent of 38 5' is 9.894111 * Co-tangent of 9 55' is 10.757300 
 
 NOTE. The first figure is the index, and the other figures are the decimal part of 
 the logarithms. 
 
 RULE 2. If the given angle is between 45 and 90, look for the de- 
 grees at the bottom of the table, and for the minutes on the right; then, 
 opposite to the minutes, and over the word sine, at the foot of the col- 
 
APPENDIX. 155 
 
 umn, will be found the sine ; over the word tangent, will be found the 
 
 tangent, &c., of the angle sought. Thus 
 Sine of 81 C 20' is 9.995013 Co-sine of 89 15' is 8.116926 
 Tangent of 73 25' is 10.526081 Co-tangent of 54 5' is 9.859932 
 
 RULE 3. If the given angle is between 90 and 180 ; substract it from 
 180, and take out the tabular sine or co-sine, tangent or co-tangent, of 
 the remainder. Thus 
 
 Sine of 99 is the sine of 81 Co-s. of 111 55' is the co-s. of 68 5' 
 Tan gent of 102 is the tang, of 78 Co-t. of 127 8' is the co-t. of 52 52' 
 
 Having thus found the supplement of the angle, when it is obtuse, that 
 is, when it exceeds 90, with this supplement, take out the' tabular sine 
 or co-sine, tangent or co-tangent, by RULE 1st or 2d. 
 
 RULE 4. If there are seconds in the given angle ; find the tabular 
 number for the degrees and minutes, as before ; then multiply the oppo- 
 site number in the adjoining column D, by the seconds, cut off two fig- 
 ures from the right of the product, and add what remains to the loga- 
 rithm, before found, for sines and tangents, but substract it for co-sines 
 and co-tangents, and the sum or difference will be the angle required. 
 Thus 
 
 1. Required the log. sine of 28 42' 5". 
 
 Sine of 28 42' is 9.681443 
 
 D= 384 multiplied by 5" = 19.20 
 
 Sine of 28 42' 5" Ans. 9.681462 
 
 2. Required co-tangent of 39 17' 10". 
 
 Co-tangent of 39 IT is 10.087244 
 
 D = 430 multiplied by 10 = 43.00 
 
 Co-tangent 39 IT 10" Ans. 10.087201 
 
 PROBLEM IX. To find the logarithmic secant or co-secant of an 
 
 RULE 1. To find the logarithmic secant of an angle : substract the log- 
 arithmic co-sine of the same angle from 20. 000000. 
 
 RULE 2. To find the logarithmic co-secant of an angle : substract the 
 logarithmic sine of the same angle from 20.000000. 
 
 PROBLEM X. To find the degrees and minutes corresponding to 
 
 any logarithmic sine or tangent. 
 
 RULE 1. Look in the column of the same name with what you wish 
 to find, for the sine or tangent which is nearest to the given one; and 
 if the title be at the head of the column, take the degrees at the top of 
 the table, and the minutes on the left ; but if the title be at the foot of 
 the column, take the degrees at the bottom, and the minutes on the right. 
 
 EXAMPLE. Find the number of degrees and minutes corresponding 
 to the logarithmic sine 9.673971. 
 
 The nearest sine in the table is 9.673977. The title of sine is at the 
 head of the column in which the number is found, and the degrees at 
 the top of the page are 28, and the minutes on the left are 10. The 
 angle required is, therefore, 28 10', neglecting the small surplus frac- 
 tion of 6, in the last figure of the logarithm. 
 
156 APPENDIX. 
 
 When the given logarithmic sign or tangent is not found exactly, or 
 very nearly, then, for the seconds, 
 
 RULE 2. From the given logarithm, snbstract the next less in the 
 table, annex two ciphers to the remainder, and divide it, thus augment- 
 ed, by the tabular difference D, and the quotient will be the number 
 of seconds to be added to the degrees and minutes of the tabular loga- 
 rithm, for sines and tangents, but which must be substracted for co-sines 
 and co-tangents. 
 
 EXAMPLE. Required the degrees, minutes, and seconds, correspond- 
 ing to the logarithmic sine of 9.759567. 
 Given logarithm 9.759567 
 
 Next less in the table = 9.759492 = 35 5' 
 
 Divide by tab. diff. 300)7500(quotes= 25' 
 
 Angle required,= 35 5' 25-" 
 
 MULTIPLICATION BY LOGARITHMS. 
 
 RULE. Take from the table the logarithms of all numbers to be 
 multiplied, add them together, and their sum will be the logarithm of 
 \he product. Then, by means of the table, take out the natural num- 
 ber, corresponding to this sum, for the product sought. 
 
 Observe, that whatever is to be carried from the decimal part of the 
 logarithm, is always positive, and must be added to the positive, or sub- 
 stracted from the negative index or indices. 
 
 EXAMPLES. 
 
 Numbers. Logarithms: Numbers. Logarithms. 
 
 1. Mult. 326 2.513218 2. Mult.8.25 0.916454 
 
 by 85 1.929419 by 112 2.049218 
 
 Prod. 27710 4.442637 Prod. 924.00 2.965672 
 3. Multiply the following numbers together: 3.902, 597.16, and 
 .0314728. 
 
 Numbers. Logarithms. 
 
 3.902 0.591287 
 
 597.160 2.776091 
 
 .0314728 2.497935 
 
 Prod. 73.3333 1.865313 
 
 Here, the 2 cancels the 2, and the 1 to carry, from the decimal part 
 of the logarithms, is set down. 
 
 4. Multiply 3.586, and 2.1046, and 0.8372, and 0294, all together. 
 Numbers. Logarithms. 
 
 3.586 0.554610 
 
 2.1046 0.323170 
 
 0.8372 T.922829 
 
 0.0294 2-468347 
 
 Prod. 0.105762 1.268956 
 
 Here, the 2 to carry cancels the 2, and there remains the T to set 
 down for the index of the product. 
 
APPENDIX. 157 
 
 In practice, however, it is usual to make all the indices positive. 
 This is done by adding 10 to each negative index ; observing to reject 
 an equal number from the final result. 
 Thus, for negative 1, we may put down positive 9. 
 for negative 2, we may put down positive 8. 
 for negative 3, we may put down positive 7, &c. 
 Because, minus 1, plus 10, equals 9. 
 minus 2, plus 10, equals 8. 
 minus 3, plus 10, equals 7, &c. 
 5. Repeating the third example, we have 
 
 Numbers. Logarithms. Logarithms. 
 
 3.902 0.591287 = 0.591287 
 
 597.160 2.776091 = 2.776091 
 
 .0314728 ^.497935 or 8.497935 
 
 Prod. 73.3333 1.865313 1.865313 
 
 Here the sum of the indices is 11: from which reject 10, and the 
 result is the same as before. 
 
 COMPOUND INTEREST BY LOGARITHMS. 
 
 RULE. Find the amount of 1 dollar for 1 year ; multiply its loga- 
 rithms by the number of years ; and to the product, add the logarithm 
 of the principal. The sum will be the logarithm of the amount for 
 the given time. 
 
 From the amount substract the principal, and the remainder will be 
 the interest. 
 
 EXAMPLE. The last example in Daboll's Arithmetic, under Com- 
 pound Interest, is as follows : " What will 50 dollars amount to in 20 
 years at 6 per cent." 
 
 This question wrought out in the most expeditious manner by com- 
 mon arithmetic, would take the student scarcely less than three hours, 
 and the final result would be, if done correctly, 
 
 $160.3567736106422365941496492288974572748800. 
 But, by logarithms, this sum may be done in as many minutes, and the 
 correct answer, in dollars and cents, obtained with very few figures. 
 Thus: 
 
 Amount of 1 dollar for 1 year is 1.06 logarithm 0.0253059 
 Multiply by the time 20 
 
 0.5061180 
 Add log. of principal 50 1.6989700 
 
 Amount as above = $160.35,7 2.2050880 
 
 From the foregoing general principles of the nature and application 
 of logarithms, are derived an infinite number of specific rules, adapt- 
 ed to particular cases. 
 
 OP THE TABLE OP NATURAL SINES AND TANGENTS. 
 
 To those who are unacquainted with logarithms, it will be interest- 
 ing to know, that all the cases in right and oblique angled trigonome- 
 try, contained in this work, or which are necessary in rectangular 
 
158 APPENDIX. 
 
 surveying, may, by the help of natural sines and tangents, be solved 
 exactly in the same way, and with the same facility, as he would solve 
 a simple question in ike Rule of Three. Natural sines are merely 
 decimals, bearing the same pioportion to unity, or 1, that the corres- 
 ponding number of degrees and minutes bears to radius, or 90. Na- 
 tural tangents bear the same proportion to unity, or l,.that the corres- 
 ponding number of degrees and minutes bears to 45, because it is a 
 well known principle, that the sine of 90, and the tangent of 45, are 
 each equal to radius. That is, 1 is assumed as the natural sine of 90 
 in the table of natural sines, and as the tangent of 45 in the table of 
 tangents, and every other number in each of these tables, is calculated 
 accordingly. 
 
 GENERAL RULE. 1. State the question in every case, as already 
 taught: 2. Multiply the second and third terms together, and divide 
 the ^product by the first. 
 
 The manner of taking natural sines and tangents from the tables, is 
 the same as for logarithmic sines and tangents; only that there is in 
 the tables, no column of differences as in the latter, for the more rea- 
 dily rinding the odd seconds, when required. But these may be found 
 by making a proportion for the aliquot parts. 
 
 There are some problems to which natural tangents afford a much 
 more simple and ready solution, than any process by logarithms. The 
 following one, in heights and distances, will illustrate this. 
 
 EXAMPLE. The altitude of an inaccessible object taken at an 
 unknown distance from its base, is 55 54 7 ; and when taken again at 
 the distance of 93 feet from the place of the first observation, in a 
 direct line with it, the altitude is 33 20': Required, the height of the 
 object. 
 
 RULE. Divide the difference of the natural co-tangents of the an- 
 gles of elevation, by the distance between the stations. Thus 
 Co-tangent of 33 20' is 1.52043 
 of5554 / is .67705 
 
 feet. 
 
 Divide by the diff. = .84338)93.0000(110.27 Ans. 
 
 NOTE. This is the shortest solution possible, and perfectly easy. 
 
 Again : Given the latitude and departure, in transverse sailing or 
 surveying, to find the course. 
 
 RULE. Divide the departure by the latitude, the quotient will be the 
 natural tangent of the course : or, divide the latitude by the departure, 
 and the quotient will be the co-tangent of the course. Universally, 
 If in any right angled triangle, the perpendicular be divided by the 
 base, the quotient will be the tangent of the angle at the base ; and if 
 the base be divided by the perpendicular, the quotient will be the tan- 
 gent of the angle at the vertex of the perpendicular. 
 
 OP THE TRAVERSE TABLE, OR TABLE OF LATITUDE AND DEPARTURE. 
 
 This is calculated for degrees and quarters of degrees, and for any 
 distance up to 100 rods, chains, &c.; by which the northings and 
 southings, eastings and westings, made in a survey, may be found. 
 
APPENDIX. 159 
 
 PROBLEM XII. To find the latitude and departure^ or northing, 
 <J"c. for any course and distance. 
 
 If the course be less than 45, look for it at the top, but if more than 
 45, at the bottom of the page, and look for the distance in the right or 
 left hand column ; against the distance, and directly under or over the 
 course, stand the northing, &c. in whole numbers and decimals. 
 
 If the course be less than 15, the northing or southing will be great- 
 er than the easting or westing; but if more than 45, the easting or 
 westing will be the greatest. 
 
 When the distance exceeds 100, take any two or more numbers, 
 which, added together, will equal the distance, and find the latitude 
 and departure for each of these numbers; add the several latitudes 
 together, and the sum will be the whole latitude ; and so for the de- 
 parture. And when the distance is in chains and links, or whole 
 numbers and decimals, iind the latitude, &c. for the chains or wliole 
 numbers, and then for the links and decimals, remembering to remove 
 the decimal point in the table further to the left, according to the given 
 decimal. 
 
 1. Required the latitude and departure for 45 rods, on a course N. 
 15 15' W. 
 
 Under 15 15', and against 45, is 43.42 for the northing, and 11.84 for 
 the westing. 
 
 2. Required the latitude and departure for 120 rods, on a course S. 
 58 30' E. 
 
 Take one third of 120, which is 40; against this number, over 58 
 SO', is 20.90 for the latitude, and 34.11 for the departure. These mul- 
 tiplied by 3 give 62.70 for the southing, and 102.33 for the easting. 
 
 3. Required the latitude and departure for 37.36 rods, or 37 chains 
 and 36 links, on a course N. 26 45' E. 
 
 For 37. Lat. 33.04 Dep. 16.65 
 
 0.36 .32 .16 
 
 37.36 33.36 16.81 
 
 Northing 33.36, Easting 16.81. 
 
 NOTE. When the minutes are not 15, 30, or 45, the northings, &c. may be had by 
 proportion, or they may be calculated by natural sines, or by trigonometry. 
 
 PROBLEM XIII. To calculate the northing or southing, $-c. for 
 any course and distance^ by natural sines. 
 
 Find the nat. sine and co-sine of the course, and into each of these 
 multiply the distance ; the products will be the latitude and departure 
 required. 
 
 Required the latitude and departure for 6 chains and 22 links on a 
 course N. 38 27', W. 
 
 Nat. sine of 38 27', 0.62183 Nat. co-sine, 0.78315 
 
 6.22 6.22 
 
 124366 156630 
 
 124366 156630 
 
 373098 469890 
 
 3.8677826 4.8711930 
 
 Answer. Northing, 4.87. Westing, 3.87. 
 
160 
 
 APPENDIX. 
 
 USEFUL NUMBERS, AND THEIR LOGARITHMS. 
 
 Circumference of a circle to diameter, 
 Area of a circle to radius, 
 Surface of a sphere to diameter, 
 Circumference of a circle to radius, 
 Solid contents of a sphere to diameter, 
 Solid contents of a sphere to radius, 
 Square of 3.14159265359 
 
 Square root of 3.14159265359 
 
 1-360 of 314159265359 
 
 1-24 of 3.14159265359 
 
 1-4 of do. or area of cir. todiam. 1 
 
 365th rootof $1.05, or amount of $1. for 1 day, 
 365th root of$1.06, oramountof $1. for 1 day, 
 12th root of $1.05, or amount of $1. for 1 mo. 
 12th root of $1.06, or amount of$l. for 1 mo. 
 360 degrees expressed in seconds, 
 Arc, equal to radius, in degrees, 
 in minutes, 
 in seconds, 
 
 Length of an arc of l // =sine of I" 
 of 2"= sine of 2' 
 of 3"= sine of 3" 
 of V = sine of 1' 
 of 1 
 
 Sine of 1 
 
 Mile, reduced to rods, 
 yards, 
 feet, 
 inches, 
 Square mile, in acres, 
 
 square rods, 
 square yards, 
 square feet, 
 square inches, 
 
 Equatorial diameter of the earth, in miles, 
 
 in rods, 
 in yard 
 in feet, 
 in incl 
 
 Circumference of the Equator, in miles, 
 in feet, 
 in inches, 
 
 Radius of Earth's orbit, in miles, 
 Sun's horizontal parallax, 
 Log. sine=tangent of 8".5776 
 
 ii 
 
 Numbers. 
 
 Logarith. 
 
 3.14159265359 
 
 0.4971499 
 
 1 
 
 6.28318530718 
 
 0.7980799 
 
 1 
 
 0.52359877560 
 
 -1.8950899 
 
 1 
 
 4.18879020479 
 
 0.6220886 
 
 )9 
 
 9.86960440109 
 
 0.9942997 
 
 )9 
 
 1.77245385091 
 
 0.2485750 
 
 >9 
 
 0.00872664626 
 
 -39408474 
 
 39 
 
 0.13089969390 
 
 -1.1169387 
 
 1 
 
 0.78539816340 
 
 -1.8950899 
 
 day, 
 
 1.00013368072 
 
 0.00005805 
 
 day, 
 
 1.00015965359 
 
 0.00006933 
 
 mo. 
 
 1.00407412 
 
 0.00176577 
 
 mo. 
 
 1.0048675505 
 
 0.00210882 
 
 
 1296000 
 
 6.1126050 
 
 
 57.295780 
 
 1.7581226 
 
 
 3437.74677 
 
 3.5362739 
 
 
 206264.8 
 
 5.3144251 
 
 
 0.000004848 
 
 -6.6855749 
 
 
 0.000009696 
 
 -6.9866049 
 
 
 0.000014544 
 
 -5.1626961 
 
 
 0.000290888 
 
 -4.4637261 
 
 
 0017453293 
 
 -2.2418774 
 
 
 0.017452406 
 
 -2.2418553 
 
 
 320 
 
 2.5051500 
 
 
 1760 
 
 3.2455127 
 
 
 5280 
 
 37226340 
 
 
 63360 
 
 4.8018152 
 
 
 640 
 
 2.8061800 
 
 
 102400 
 
 5.0103000 
 
 
 3097600 
 
 6.4910254 
 
 
 27.178400 
 
 7 4452679 
 
 
 4014489600 9.603G304 
 
 les, 
 
 7924 
 
 3.8989445 
 
 Is, 
 
 2535680 
 
 6.4040945 
 
 ds, 
 
 13946240 7.1444572 
 
 t, 
 
 41838720 76215785 
 
 hes. 
 
 502064640; 8.7007597 
 
 
 24893.98 4.3960944 
 
 
 131440217 8.1187283 
 
 s, 
 
 1577282608; 91979095 
 
 
 95273869| 7.9789738 
 
 
 8 // .57760 09333658 
 
 
 
 5.6189407 
 
A TABLE 
 
 OF 
 
 LOGARITHMS OF LUMBERS 
 
 FROM 1 TO 10,000. 
 
 N. 
 1 
 2 
 3 
 4 
 5 
 
 Loir. 
 0.000000 
 0.301030 
 0.477121 
 0.602060 
 0.698970 
 
 N, 
 
 20 
 27 
 28 
 29 
 30 
 
 Lop. 
 1.414973 
 
 1.431364 
 1.447158 
 ,462398 
 .477121 
 
 N, 
 51 
 52 
 53 
 54 
 55 
 
 .L.*. 
 . 707570 
 .716003 
 . 724276 
 . 732394 
 . 740363 
 
 N. 
 76 
 77 
 78 
 79 
 80 
 
 !** 
 
 .880814 
 .886491 
 .892095 
 .897627 
 .903090 
 
 6 
 7 
 8 
 9 
 If) 
 
 0.778151 
 0.845098 
 0.903090 
 0,954243 
 1,000000 
 
 31 
 32 
 33 
 34 
 35 
 
 .491362 
 .505150 
 .518514 
 .531479 
 .544068 
 
 56 
 57 
 58 
 59 
 60 
 
 .748188 
 .755875 
 . 763428 
 .770852 
 .778151 
 
 81 
 82 
 83 
 84 
 85 
 
 .908485 
 .913814 
 .919078 
 .924279 
 .929419 
 
 li 
 12 
 1:3 
 14 
 15 
 
 1.041393 
 1.079181 
 1.113943 
 1.140128 
 1.176091 
 
 36 
 37 
 38 
 39 
 40 
 
 ,556303 
 ,568202 
 .579784 
 ,591065 
 .602060 
 
 61 
 62 
 63 
 64 
 65 
 
 . 785330 
 .792392 
 .799341 
 .806180 
 .812913 
 
 86 
 87 
 88 
 89 
 90 
 
 .934498 
 .939519 
 .944483 
 .949390 
 1.954243 
 
 16 
 17 
 18 
 19 
 *0 
 
 1.204120 
 1.230449 
 1.255273 
 1,278754 
 1.301030 
 
 41 
 42 
 43 
 44 
 
 45 
 
 .612784 
 . 623249 
 .633468 
 .643453 
 .653213 
 
 66 
 67 
 68 
 69 
 70 
 
 .819544 
 .826075 
 .832509 
 . 838849 
 .845098 
 
 91 
 92 
 93 
 94 
 95 
 
 1.959041 
 1.963788 
 1.968483 
 1.973128 
 1.977724 
 
 21 
 22 
 23 
 24 
 25 
 
 1.322219 
 1.342423 
 1.361728 
 1.380211 
 1 .397940 
 
 46 
 
 47 
 48 
 49 
 50 
 
 .662758 
 .672098 
 .681241 
 .690196 
 .698970 
 
 71 
 72 
 73 
 74 
 75 
 
 1.851258 
 1.857333 
 1.863323 
 1.869232 
 1.875061 
 
 96 
 97 
 98 
 99 
 100 
 
 1.982271 
 1.986772 
 1.991226 
 1.995635 
 2.000000 
 
 N. B. In the following table, in the last nine columns of 
 each page, where the first or leading figures change from 9's 
 to O's, points or dots are introduced instead of the O's through 
 the rest of the line, to catch the eye, and to indicate that from 
 thence the annexed first two figures of the Logarithm in the 
 second column stand in the next lower line. 
 
A TABLE OP LOGARITHMS FROM 1 TO 10.000. 
 
 N. | 1 | 2 3 i 4 5 6|7|8 91 D. 
 
 100 
 
 000000 
 
 0434 
 
 0868 
 
 1301 1734 
 
 2166 2598; 3029| 3461 
 
 3891 
 
 432 
 
 101 
 
 4321 
 
 4751 
 
 5181 
 
 5609 
 
 6038 
 
 6466 
 
 6894 
 
 7321 
 
 7748 
 
 8174 
 
 428 
 
 102 
 
 8600 
 
 9026 
 
 9451 
 
 9876 
 
 .300 
 
 .724 
 
 1147 
 
 1570 
 
 1993 
 
 2415 
 
 424 
 
 103 
 
 012837 
 
 3259 
 
 3680 
 
 4100 
 
 4521 
 
 4940 
 
 5360 
 
 5779 
 
 6197 
 
 6616 
 
 419 
 
 104 
 
 7033 
 
 7451 
 
 7868 
 
 8284 
 
 8700 
 
 9116 
 
 9532 
 
 9947 
 
 .361 
 
 .775 
 
 416 
 
 105 
 
 021189 
 
 1603! 2016 
 
 2428 
 
 2841 
 
 3252 
 
 3664 
 
 4075 
 
 4486 
 
 4896 
 
 412 
 
 106 
 
 5306 
 
 5715! 6125 
 
 6533 
 
 6942 
 
 7350 
 
 7757 
 
 8164 
 
 8571 
 
 8978 
 
 408 
 
 107 
 
 9384 
 
 9789 
 
 .195 
 
 .600 
 
 1004 
 
 1408 
 
 1812 
 
 2216 
 
 2619 
 
 3021 
 
 404 
 
 108 
 
 033424 
 
 3826 
 
 4227 
 
 4628 
 
 5029 
 
 5430 
 
 5830 
 
 6230 
 
 6629 
 
 7028 
 
 400 
 
 109 
 
 7426 
 
 7825 
 
 8223 
 
 8620 
 
 9017 
 
 9414 
 
 9811 
 
 .207 
 
 .602 
 
 .998 
 
 396 
 
 110 
 
 041393 
 
 1787 
 
 2182 
 
 2576 
 
 2969 
 
 3362 
 
 3755 
 
 4148 
 
 4540 
 
 4932 
 
 393 
 
 111 
 
 5323 
 
 5714 
 
 6105 
 
 6495 
 
 6885 
 
 7275 
 
 7664 
 
 8053 
 
 8442 
 
 8830 
 
 389 
 
 112 
 
 9218 
 
 9606| 9993 
 
 .380 
 
 .766 
 
 1153 
 
 1538 1924 
 
 2309 
 
 2694 
 
 386 
 
 113 
 
 053078 
 
 3463 3846 
 
 4230 
 
 4613 
 
 4996 
 
 5378 
 
 5760 
 
 6142 
 
 6524 
 
 382 
 
 114 
 
 6905 
 
 7286 
 
 7666 
 
 8046 
 
 8426 
 
 8805 
 
 9185 
 
 9563 
 
 9942 
 
 .320 
 
 379 
 
 115 
 
 060698 
 
 1075 
 
 1452 
 
 1829 
 
 2206 
 
 2582 
 
 2958 
 
 3333 
 
 3709 
 
 4083 
 
 376 
 
 116 
 
 4458 
 
 4832 
 
 5206 
 
 5580 
 
 5953 
 
 6326 
 
 6699 
 
 7071 
 
 7443 
 
 7815 
 
 372 
 
 117 
 
 8186 
 
 8557 
 
 8928 
 
 9298 
 
 9668 
 
 ..38 
 
 .407 
 
 .776 
 
 1145 
 
 1514 
 
 369 
 
 118 
 
 071882 
 
 2250 
 
 2617 
 
 2985 
 
 3352 
 
 3718 
 
 4085 
 
 4451 
 
 4816 
 
 5182 
 
 366 
 
 119 
 
 5547 
 
 5912 
 
 6276! 6640 
 
 7004 
 
 7368 
 
 7731 
 
 8094 
 
 8457 
 
 8819 
 
 363 
 
 120 
 
 079181 
 
 9543 
 
 9904 
 
 .266 
 
 .626 
 
 .987 
 
 1347 
 
 1707 
 
 2067 
 
 2426 
 
 360 
 
 121 
 
 082785 
 
 3144 
 
 3503 
 
 3861 
 
 4219 
 
 4576 
 
 4934 
 
 5291 
 
 5847 
 
 6004 
 
 357 
 
 122 
 
 6360 
 
 6716 
 
 7071 
 
 7426 
 
 7781 
 
 8136 
 
 8490 
 
 8845 
 
 9198 
 
 9552 
 
 355 
 
 123 
 
 9905 
 
 .258 
 
 .611 
 
 .963 
 
 1315 
 
 1667 
 
 2018 
 
 2370 
 
 2721 
 
 3071 
 
 351 
 
 124 
 
 093422 
 
 3772 
 
 4122 
 
 4471 
 
 4820 
 
 5169 
 
 5518 
 
 5866 
 
 6215 
 
 6562 
 
 349 
 
 125 
 
 6910 
 
 7257 
 
 7604 
 
 7951 
 
 8298 
 
 8644 
 
 8990 
 
 9335 
 
 9681 
 
 ..26 
 
 346 
 
 126 
 
 100371 
 
 0715 
 
 1059 
 
 1403 
 
 1747 
 
 2091 
 
 2434 
 
 2777 
 
 3119 
 
 3462 
 
 343 
 
 127 
 
 3804 
 
 4146 
 
 4487 
 
 4828 
 
 5169 
 
 5510 
 
 5851 
 
 6191 
 
 6531 
 
 6871 
 
 340 
 
 128 
 
 7210 
 
 7549 
 
 7888 
 
 8227 
 
 8565 
 
 8903 
 
 9241 
 
 9579 
 
 9916 
 
 .253 
 
 338 
 
 129 
 
 110590 
 
 0926 
 
 1263 
 
 1599 
 
 1934 
 
 2270 
 
 2605 
 
 2940 
 
 3275 3609|335 
 
 130 
 131 
 
 113943 
 
 7271 
 
 4277 
 7603 
 
 4611 
 7934 
 
 4944 5278 | 5611 
 8265 8595. 8926 
 
 5943 
 9256 
 
 6276 
 9586 
 
 660i 
 9915 
 
 6940 
 .245 
 
 3:33 
 330 
 
 132 
 
 120574 
 
 0903 
 
 1231 
 
 15601 1888! 2216 
 
 2544 
 
 2871 
 
 3-198 
 
 3525 
 
 328 
 
 133 
 
 3852 
 
 4178 
 
 4504 
 
 4830 
 
 5156 
 
 5481 
 
 5806 
 
 6131 
 
 6456 
 
 6781 
 
 325 
 
 134 
 
 7105 
 
 7429 
 
 7753 
 
 8076 
 
 8399 
 
 8722 
 
 9045 
 
 9368 
 
 9690 
 
 ..12 
 
 323 
 
 135 
 
 130334 
 
 0655 
 
 0977 
 
 1298 
 
 1619 
 
 1939 
 
 2260 
 
 2580J 2900 
 
 3219 
 
 321 
 
 136 
 
 3539 
 
 3858 
 
 4177 
 
 4496 
 
 4814 
 
 5133 
 
 5451 
 
 5769 
 
 6086 
 
 6403 
 
 318 
 
 137 
 
 6721 
 
 7037 
 
 7354 
 
 7671 
 
 7987 
 
 8303 
 
 8618 
 
 8934 
 
 9249 
 
 9564 
 
 315 
 
 138 
 
 9879 
 
 .194 
 
 .508 
 
 .822 
 
 1136! 1450 
 
 1763 
 
 2076 
 
 2389 
 
 2702 
 
 314 
 
 139 
 
 143015 
 
 3327 
 
 3639 
 
 3951 
 
 420314074 
 
 4885 
 
 5196 
 
 5507 
 
 5818 
 
 311 
 
 140 
 
 146128 
 
 6438 
 
 6748 
 
 7058 
 
 7367| 7676 
 
 7985 
 
 8294 
 
 8603 
 
 8911 
 
 309 
 
 141 
 
 9219! 9527 
 
 9835 
 
 .142 
 
 .449 
 
 .7561 1063 
 
 1370 
 
 1676 
 
 1982 
 
 307 
 
 142 
 
 152238 
 
 2594 
 
 2900 
 
 3205 
 
 3510 
 
 3815 
 
 4120 
 
 4424 
 
 4728 
 
 5032 
 
 305 
 
 143 
 
 5330 
 
 5640 
 
 5943 
 
 6246 
 
 6549 
 
 6852 
 
 7154 
 
 7457 
 
 7759 
 
 8061 
 
 303 
 
 144 
 
 8362 
 
 8664 
 
 8955 
 
 9266 
 
 9567 
 
 9868! .168 
 
 .469 
 
 .769 
 
 1068 
 
 301 
 
 145 
 
 161368 
 
 1667 
 
 1967 
 
 2266 
 
 2564 2863! 3l6l! 3460 
 
 3758 4055 
 
 299 
 
 146 
 
 43531 4650 
 
 4947 
 
 5244 
 
 5541 i 5838J 6134 
 
 6430 
 
 6726 
 
 7022 
 
 297 
 
 147 
 
 7317 
 
 7613 
 
 7903 
 
 8203 
 
 8497 
 
 8792! 9086 
 
 9380 
 
 9674 
 
 9968 
 
 295 
 
 148 
 
 170262 
 
 0555 
 
 0848 
 
 1141 
 
 1431 
 
 1726 2019 
 
 2311 
 
 2603 
 
 2895} 293 
 
 149 
 
 3186 
 
 3478 
 
 3769 
 
 4060 
 
 43ol 
 
 4641 
 
 4932 
 
 5222 
 
 5512 
 
 58G2J 291 
 
 150 
 
 176091 
 
 6381 
 
 6670 
 
 6959 
 
 7248 
 
 7536 
 
 7825 
 
 8113 
 
 8401 
 
 8689 
 
 289 
 
 151 
 
 8977 
 
 9264 
 
 9552 
 
 9839 
 
 .126 
 
 .413 
 
 .699 
 
 .985 
 
 1272 
 
 1558 
 
 287 
 
 152 
 
 181844 
 
 2129 
 
 2415 
 
 2700 29-85 
 
 3270 
 
 3555 
 
 3839 
 
 4123 
 
 4407 
 
 285 
 
 153 
 
 4691 
 
 4975 
 
 5259 
 
 5542 5825! 6 108 
 
 6391 
 
 6674 
 
 6956 
 
 7239 
 
 283 
 
 154 
 
 7521 
 
 7803 
 
 8084 
 
 8366 
 
 8647 
 
 8928 
 
 9209 
 
 9490 
 
 9771 
 
 ..51 
 
 281 
 
 155 
 
 190332 
 
 0612 
 
 0892 
 
 1171 
 
 1451 
 
 1730 
 
 2010 
 
 2289 
 
 2567 
 
 2846 
 
 279 
 
 156 
 
 3125 
 
 3403 
 
 3681 
 
 3959 
 
 4237 
 
 4514 
 
 4792 
 
 5069 
 
 5346 
 
 5623 
 
 278 
 
 157 
 
 5899 
 
 6176 
 
 6453 
 
 6729 
 
 7005 
 
 7281 
 
 7556 
 
 7832 
 
 8107 
 
 8382 
 
 276 
 
 158 
 
 8657 
 
 8932 
 
 9206 
 
 9481 
 
 9755 
 
 ..29 
 
 .303 
 
 .577 
 
 .850 
 
 1124 
 
 274 
 
 159 
 
 201397 
 
 1670 
 
 1943 
 
 2216 
 
 2488 
 
 2761 
 
 3033 
 
 3305 
 
 3577 
 
 3848 
 
 272 
 
 N. 1 2 | 3 | 4 
 
 5 6 i 7 1 8 9 1 D. 
 
A TABLE OF LOGARITHMS FROM 1 TO 10,000 
 
 N. | 1 
 
 2|3|4|5|6|7|8 
 
 9 | D. 
 
 160 
 
 204120 
 
 4391 
 
 4663 4934 5204 
 
 5475 1 5746 
 
 6016 
 
 6286 
 
 6556 
 
 271 
 
 161 
 
 6826 
 
 7096 
 
 7365 
 
 7634 
 
 7904 
 
 8173 
 
 8441 
 
 8710 
 
 8979 
 
 9247 
 
 269 
 
 102 
 
 9515 
 
 9783 
 
 ..51 
 
 .319 
 
 .586 
 
 .853 
 
 1121 
 
 1388 
 
 1654 
 
 1921 
 
 267 
 
 163 
 
 212188 
 
 2454 
 
 2720 2986 
 
 3252 
 
 3518 
 
 3783 
 
 4049 
 
 4314 
 
 4579 
 
 266 
 
 164 
 
 4844 
 
 5109 
 
 5373! 5638 
 
 5902 
 
 6166 
 
 6430 
 
 6694 
 
 6957 
 
 7221 
 
 2o4 
 
 165 
 
 7484 
 
 7747 
 
 8010J 8273 
 
 8536 
 
 8793 
 
 9060 
 
 9323 
 
 9585 
 
 9846 
 
 262 
 
 166 
 
 220108 
 
 0370 
 
 063110892 
 
 1153 
 
 1414 
 
 1675 
 
 1936 
 
 2196 
 
 2456 
 
 261 
 
 167 
 
 2716 
 
 2976 
 
 3236 j 3496 
 
 3755 
 
 4015 
 
 4274 
 
 4533 
 
 4792 
 
 5051 
 
 259 
 
 168 
 
 5309 
 
 5568 
 
 5826i 6084 
 
 6342 
 
 6600 
 
 6858 
 
 7115 
 
 7372 
 
 7630 
 
 258 
 
 169 
 
 7887 8144 
 
 8400 8657 
 
 8913 
 
 9170 
 
 9426 
 
 9682 
 
 9938 
 
 .193 
 
 256 
 
 170 
 
 230449 
 
 0704 
 
 0960 
 
 1215 
 
 1470 
 
 1724 
 
 1979 
 
 2234 
 
 2488 
 
 2742 
 
 254 
 
 171 
 
 2996 
 
 3250 
 
 3504 
 
 3757 
 
 4011 
 
 4264 
 
 4517 
 
 4770 
 
 5023 
 
 5276 
 
 253 
 
 172 
 
 5528 
 
 5781 
 
 6033 j 6235 
 
 6537 
 
 6789 
 
 7041 
 
 7292 
 
 7544 
 
 7795 
 
 252 
 
 173 
 
 8046 
 
 8297 
 
 8548 1 8799 
 
 9049 
 
 9299 
 
 9550 
 
 9800 
 
 ..50 
 
 .300 
 
 250 
 
 174 
 
 240549 
 
 0799 
 
 1048 
 
 1297 
 
 1546 
 
 1795 
 
 2044 
 
 2293 
 
 2541 
 
 2790 
 
 249 
 
 175 
 
 3038 
 
 3286 
 
 3534 
 
 3782 
 
 4030 
 
 4277 
 
 4525 
 
 4772 
 
 5019 
 
 5266 
 
 248 
 
 176 
 
 5513 
 
 5759 
 
 6006 
 
 6252 
 
 6499 
 
 6745 
 
 6991 
 
 7237 
 
 7482 
 
 7728 
 
 246 
 
 177 
 
 7973 
 
 8219 
 
 8464 
 
 8709 
 
 8954 
 
 9198 
 
 9443 
 
 9687 
 
 9932 
 
 .176 
 
 245 
 
 178 
 
 250420 
 
 0664 
 
 0908 
 
 1151 
 
 1395 
 
 1638 
 
 1831 
 
 2125 
 
 2368 
 
 2610 
 
 243 
 
 179 
 
 2853 
 
 3096 
 
 3338 
 
 3580 
 
 3822 
 
 4064 
 
 4306 
 
 4548 
 
 4790 
 
 5031 
 
 242 
 
 180 
 
 255273 
 
 5514 
 
 5755 
 
 5996 
 
 6237 
 
 6477 
 
 6718 
 
 6958 
 
 7198 
 
 7439 
 
 241 
 
 181 
 
 7679 
 
 7918 
 
 8158 
 
 8398 
 
 8637 
 
 8877 
 
 9116 
 
 9355 
 
 9594 
 
 9833 
 
 239 
 
 182 
 
 260071 
 
 0310 
 
 0548 
 
 0787 
 
 1025 
 
 1263 
 
 1501 
 
 1739 
 
 1976 
 
 2214 
 
 238 
 
 183 
 
 2451 
 
 2688 
 
 2925 
 
 3162 
 
 3399 
 
 3636 
 
 3873 
 
 4109 
 
 4346 
 
 4582 
 
 237 
 
 184 
 
 4818 
 
 5054 
 
 5290 
 
 5525 
 
 5761 
 
 5996 
 
 6232 
 
 6467 
 
 6702 
 
 6937 
 
 235 
 
 185 
 
 7172 
 
 7406 
 
 7641 
 
 7875 
 
 8110 
 
 8344 
 
 8578 
 
 8812 
 
 9046 
 
 9279 
 
 234 
 
 186 
 
 9513 
 
 9746 
 
 9980 
 
 .213 
 
 .446 
 
 .679 
 
 .912 
 
 1144 
 
 1377 
 
 1609 
 
 233 
 
 187 
 
 271842 
 
 2074 
 
 2306 
 
 2538 
 
 2770 
 
 3001 
 
 3233 
 
 3464 
 
 3696 
 
 3927 
 
 232 
 
 188 
 
 4158 
 
 4389 
 
 4620 
 
 4850 
 
 5081 
 
 5311 
 
 5542 
 
 5772 
 
 6002 
 
 6232 
 
 230 
 
 189 
 
 6462 
 
 6692 
 
 6921 
 
 7151 
 
 7380 
 
 7609 
 
 7838 
 
 8067 
 
 8296 
 
 8525 
 
 229 
 
 190 
 
 278754 
 
 8982 
 
 9211 
 
 9439 
 
 9667 
 
 9895 
 
 .123 
 
 .351 
 
 .578 
 
 .806 
 
 228 
 
 191 
 
 281033 
 
 1261 
 
 1488 
 
 1715 
 
 1942 
 
 2169 
 
 2396 
 
 2622 
 
 2849 
 
 3075 
 
 227 
 
 192 
 
 3301 
 
 3527 
 
 3753 
 
 3979 
 
 4205 
 
 4431 
 
 4656 
 
 4882 
 
 5107 
 
 5332 
 
 226 
 
 193 
 
 5557 
 
 5782 
 
 6007 
 
 6232 
 
 6456 
 
 6681 6905 
 
 7130 
 
 7354 
 
 7578 
 
 225 
 
 194 
 
 7802 
 
 802b 
 
 8249 
 
 8473 
 
 8696 
 
 8920 
 
 9143 
 
 9366 
 
 9589 
 
 9812 
 
 223 
 
 195 
 
 290035 
 
 0257 
 
 0480 
 
 0702 
 
 0925 
 
 1147 
 
 1369 
 
 1591 
 
 1813 
 
 2034 
 
 222 
 
 196 
 
 2256 
 
 2478 
 
 2699 
 
 2920 
 
 3141 
 
 3363 
 
 3584 
 
 3804 
 
 4025 
 
 4246 
 
 221 
 
 197 
 
 4466 
 
 4687 
 
 4907 
 
 5127 
 
 5347 
 
 5567 
 
 5787 
 
 6007 
 
 6226 
 
 6446 
 
 220 
 
 198 
 
 6665 
 
 6884 
 
 7104 
 
 7323 
 
 7542 
 
 7761 
 
 7979 
 
 8198 
 
 8416 
 
 8635 
 
 219 
 
 199 
 
 8853 
 
 9071 
 
 9289 
 
 9507 
 
 9725 
 
 9943 
 
 .161 
 
 .378 
 
 .595 
 
 .813 
 
 218 
 
 200 
 
 301030 
 
 1247 
 
 1464 
 
 1681 
 
 1898 
 
 2114 
 
 2331 
 
 2547 
 
 2764 
 
 2980 
 
 217 
 
 201 
 
 3196 
 
 3412 
 
 3328 
 
 3844 
 
 4059 
 
 4275 
 
 4491 
 
 4706 
 
 4921 
 
 5136 
 
 216 
 
 202 
 
 5351 
 
 5560 i 5781 
 
 5996 
 
 6211 
 
 6425 
 
 6639 
 
 6854 
 
 7068 
 
 7282 
 
 215 
 
 203 
 
 7496 
 
 77i<; 
 
 7924 
 
 8137 
 
 8351 
 
 8564 
 
 8778 
 
 8991 
 
 9204 
 
 9417 
 
 213 
 
 204 
 
 9630 
 
 9843 
 
 ..56 
 
 .268 
 
 .481 
 
 .693 
 
 .906 
 
 1118 
 
 1330 
 
 1542 
 
 212 
 
 205 
 
 311754 
 
 1966 
 
 2177 
 
 2389 
 
 2600 
 
 2812 
 
 3023 
 
 3234 
 
 3445 
 
 3656 
 
 211 
 
 206 
 
 3867 
 
 4078 
 
 4289 
 
 4499 
 
 4710 
 
 4920 
 
 5130 
 
 5340 
 
 5551 
 
 5760 
 
 210 
 
 207 
 
 5970 
 
 6180 
 
 6390 
 
 6599 
 
 6809 
 
 7018 
 
 7227 
 
 7436 
 
 7646 
 
 7854 
 
 209 
 
 208 
 
 8063 
 
 8272 
 
 8481 
 
 8689 
 
 8898 
 
 9109 
 
 9314 9522 
 
 9730 
 
 9938 
 
 208 
 
 209 
 
 320146 
 
 0354 
 
 0562 
 
 0769 
 
 0977 
 
 1184 
 
 1391 
 
 1598 
 
 1805 
 
 2012 
 
 207 
 
 210 
 
 322219 
 
 2426 
 
 2633 
 
 2339 
 
 3046 
 
 3252 
 
 3458 
 
 3665 
 
 3871 
 
 4077 
 
 206 
 
 211 
 
 4282 
 
 4488 
 
 4694 
 
 4899 
 
 5105 
 
 5310 
 
 5516 
 
 5721 
 
 5926 
 
 6131 
 
 205 
 
 212 
 
 6336 
 
 6541 
 
 6745 
 
 6950 
 
 7155 
 
 7359 
 
 7563! 7767 
 
 7972 
 
 8176 
 
 204 
 
 213 
 
 8380 
 
 8583 
 
 8787 
 
 8991 
 
 9194 
 
 9398 
 
 960 li 9805 
 
 ..8 
 
 .211 
 
 203 
 
 214 
 
 330414 
 
 0617 
 
 0319 
 
 1022 
 
 1225 
 
 1427 
 
 1630 1832 2034 
 
 2236 
 
 202 
 
 215 
 
 2438 
 
 2640 
 
 2842 
 
 3044 
 
 3248 
 
 3447 
 
 3649 3850 4051 
 
 4253 
 
 202 
 
 216 
 
 4454 
 
 4655 
 
 4856 
 
 5057 5257 
 
 5458 
 
 5658 5859! 6059 
 
 6260 
 
 201 
 
 217 
 
 6460 
 
 66601 6860| 7060 
 
 7260 
 
 7459 
 
 7659| 7853| 8058 
 
 8257 
 
 200 
 
 218 
 
 8456 
 
 8656 
 
 8855! 9054 
 
 9253 
 
 9451 
 
 9650! 9819: ..47 
 
 .246 
 
 199 
 
 219 
 
 340444 
 
 0642 
 
 0841' 1039 
 
 1237 1435 
 
 1632 1830' 2028 
 
 2225 
 
 198 
 
 N. | | 1 2'3|4|5 
 
 6 
 
 7 I 8 
 
 9 I D. 
 
A TABLE OF LOGARITHMS FROM 1 TO 10,000. 
 
 N. 
 
 1 { 2 | 3 | 4 
 
 5 | 6 7 8 
 
 9 
 
 D. 
 
 220 
 
 221 
 
 342423 
 4392 
 
 2620 
 4589 
 
 2817 
 
 4785 
 
 3014 
 4981 
 
 3212 
 5178 
 
 3409 
 5374 
 
 3606 
 5570 
 
 3802] 3999 
 5766 5962 
 
 4196) 197 
 6 157| 196 
 
 222 
 
 6353 
 
 6549 
 
 6744 
 
 6939 
 
 7135 
 
 7330 
 
 7525 
 
 7720! 7915 
 
 8110 
 
 195 
 
 223 
 
 8305 
 
 8500 
 
 8694 
 
 8889 
 
 9083 
 
 9278 
 
 9472 
 
 9666 9880 
 
 ..54 
 
 194 
 
 224 
 
 350248 0442 
 
 0636 
 
 0829 
 
 1023 
 
 1216 
 
 1410 1603 
 
 1798 
 
 1989 
 
 193 
 
 225 
 
 2183 2375 
 
 2568 
 
 2761 
 
 2954 
 
 3147 
 
 333913532 
 
 3724 
 
 3916 
 
 193 
 
 226 
 
 227 
 
 41081 4301 
 6026 6217 
 
 4493 
 6408 
 
 4685 
 6599 
 
 4876 5068 
 67901 6981 
 
 6360 5452 5643] 5834! 192 
 7172! 736317554 7744! 191 
 
 228 
 
 7935 8125 
 
 8316 
 
 8506 8696 
 
 8886 
 
 9076! 9266 9456 
 
 9646 
 
 190 
 
 229 
 
 9835 
 
 ..25 
 
 .215 
 
 .404 
 
 .593 
 
 .783 
 
 .972; 1161 
 
 1350 
 
 1539 
 
 189 
 
 230 
 
 361728 
 
 1917 
 
 2105 
 
 22941 2482 
 
 2671 
 
 2859; 3048 
 
 3236 
 
 3424 
 
 188 
 
 231 
 
 3612 
 
 3800 
 
 3988 
 
 4176 4363 
 
 4551 
 
 4739 4i>25 
 
 5113 
 
 5301 188 
 
 232 
 
 5488 
 
 5675 
 
 5862 
 
 6049 6236 
 
 6423 
 
 6610 67961 69S3 
 
 7169 ! 187 
 
 233 
 
 7356 
 
 7542 
 
 7729 
 
 7915 
 
 8101 
 
 8287 
 
 8473 8659! 8845 
 
 9030 186 
 
 !234 
 
 9216 
 
 9401 
 
 9587 
 
 9772 
 
 9958 
 
 .143 
 
 .328 
 
 .513 
 
 .698 
 
 .883 
 
 185 
 
 235 
 
 371068 
 
 1253 
 
 1437 
 
 1622 1806 
 
 1991 
 
 2175 
 
 2360 
 
 2544 
 
 2728 
 
 184 
 
 236 
 
 2912 
 
 3096 
 
 3280 
 
 3484 3647 
 
 3331 
 
 4015 41 98 
 
 4382 
 
 4565 
 
 184 
 
 237 
 
 4748 
 
 4932 
 
 5115 
 
 5298 
 
 5481 
 
 5664 
 
 5846 6029 
 
 6212 
 
 6394 183 
 
 238 
 
 6577 
 
 6759 
 
 6942 
 
 7124 
 
 7306 
 
 7488 
 
 7670 
 
 7852 
 
 8034 
 
 8210 
 
 182 
 
 239 
 
 8398 
 
 8580 
 
 8761 
 
 8943 
 
 9124 
 
 9306 
 
 9487 
 
 9668 
 
 9849 
 
 ..30 
 
 181 
 
 240 
 
 380211 
 
 0392 
 
 0573 
 
 0754 
 
 0934 
 
 1115 
 
 1296 
 
 1476 
 
 1656 
 
 1837! 181 
 
 241 
 
 2017 
 
 2197 
 
 2377 
 
 2557 
 
 2737 
 
 2917 
 
 3097 
 
 3277 
 
 3456 
 
 3636 
 
 180 
 
 242 
 
 3815 
 
 3995 
 
 4174 
 
 4353*4533 
 
 4712 
 
 4891 
 
 5070 
 
 5249 
 
 5428 
 
 179 
 
 243 
 
 5606 
 
 5785 
 
 5964 
 
 6l42 r 6321 
 
 6499 
 
 66771 6856 
 
 7034 
 
 7212 
 
 178 
 
 244 
 
 7390 
 
 7568 
 
 7746 
 
 7923 
 
 8101 
 
 8279 
 
 8456 
 
 8634 
 
 881 ij 8989 
 
 178 
 
 245 
 
 9166 
 
 9343 
 
 9520 
 
 9698 
 
 9875 
 
 ..51 
 
 .228 
 
 .405 
 
 .582 
 
 .759 
 
 177 
 
 246 
 
 390935 
 
 1112 
 
 1288 
 
 1464 
 
 1641 
 
 1817 
 
 1993 
 
 2169 
 
 2345 
 
 2521 
 
 176 
 
 247 
 
 2697 
 
 2873 
 
 3048 
 
 3224 
 
 3400 
 
 3575 
 
 3751 
 
 3926 
 
 4101 
 
 4277 
 
 176 
 
 248 
 
 4452 4627 
 
 4802 
 
 4977 
 
 5152 
 
 5326 
 
 5501 
 
 5676 
 
 5850! 6025 
 
 175. 
 
 249 
 
 6199 
 
 6374 
 
 6548 
 
 6722 
 
 6896 
 
 7071 
 
 7245 
 
 7419 7592] 7766 
 
 174 
 
 250 
 
 397940 
 
 8114 
 
 8287 
 
 84611 8634 
 
 8808 
 
 8981 
 
 9154 
 
 9328 
 
 9501 
 
 173 
 
 251 
 
 9674 
 
 9847 
 
 ..20 
 
 .192! .365 
 
 .538 
 
 .711 
 
 .883 
 
 1056 
 
 1228 
 
 173 
 
 252 
 
 401401 
 
 1573 
 
 1745 
 
 19171 2089 
 
 2261 
 
 2433 
 
 2605 
 
 2777 2949 
 
 172 
 
 253 
 
 3121 
 
 3292 
 
 3464 
 
 3635| 3807 
 
 3978 
 
 414S 
 
 432(> 
 
 4492 
 
 4663 
 
 171 
 
 254 
 
 4834 
 
 5005 
 
 5176 
 
 53461 55.7 
 
 5688 
 
 5858] 6029 
 
 6199 
 
 6370 
 
 171 
 
 255 
 
 6540 
 
 6710 
 
 688 f 
 
 7051 7221 
 
 7391 
 
 7561 7731 
 
 79>01 8070 
 
 170 
 
 256 
 
 8240 
 
 8410 
 
 8579 
 
 8749! 8918 
 
 9087 
 
 9257 9426 9595 
 
 97G4 
 
 169 
 
 257 
 
 9933 
 
 .102 
 
 .271 
 
 .440! .609 
 
 .777 
 
 .946 1114 
 
 1283 
 
 1451 
 
 169 
 
 258 
 
 411620 
 
 1788 
 
 1956 
 
 2124' 2293 
 
 2461 
 
 2G29 2796 
 
 2964 
 
 3132 
 
 168 
 
 259 
 
 3300 
 
 3467 
 
 3635 
 
 3803 j 3970 
 
 4 137 
 
 4305 4472 4639 
 
 4806 
 
 167 
 
 260 
 
 41-&73 
 
 5140 
 
 5307 
 
 5474 5641 
 
 5808 
 
 5974 6141 
 
 6308 
 
 6474 
 
 167 
 
 261 
 
 6641 
 
 6807 
 
 6973 
 
 7139! 7306 
 
 7472 7638 1 7804 
 
 7970 
 
 8135! 166 
 
 262 
 
 8301 
 
 8467 
 
 8633 
 
 8798J 8964 
 
 9129 9295 9460 9825 
 
 9791 ! 165 
 
 263 
 
 9956 
 
 .121 
 
 .286 
 
 .451 .616 
 
 .781 .945 1110 1275 
 
 1439 
 
 165 
 
 264 
 
 421604 
 
 17G8 
 
 1933 
 
 20971 2261 
 
 2428 25W) 2754 2918 
 
 30S2 
 
 164 
 
 265 
 
 3246 
 
 3410 
 
 3374 
 
 37371 3901 
 
 4065 4228 j 4392 4555 
 
 4718 
 
 164 
 
 266 
 
 4882 
 
 5045 
 
 5208 
 
 5371 ! 5534 
 
 5697] 5860 6023 6186 
 
 6349 
 
 163 
 
 267 
 
 6511 
 
 6674 
 
 6836 6U99! 7161 
 
 7324' 7489 
 
 7648 
 
 7811 
 
 7973 
 
 162 
 
 268 
 
 8135 
 
 8297 
 
 8459 8621 
 
 8783 8944 9106 
 
 9268 
 
 9421) 
 
 9591! 162 
 
 263 
 
 9752 
 
 9914 
 
 ..75 .236 
 
 .398 .559! .720 .881 
 
 1Q42 
 
 1203 161 
 
 270 
 
 431364 1525 1685 1846! 2007 
 
 2167] 2328! 2488 2649 
 
 2809 
 
 161 
 
 271 
 
 2969 3130! 3290 3450 3610 
 
 3770 3930 4090 4249 
 
 44091 160 
 
 272 
 
 4569J 4729J 4888 5048 5207| 5367! 5526 
 
 5685 5844 
 
 6004! 159 
 
 273 
 
 6163! 6322] 6481 6640 6798 6957 7116 
 
 7275. 7433 
 
 7592 
 
 159 
 
 274 
 
 7751| 7909 8067 8226 8384 8542 8701 
 
 8859 i 9017 
 
 9175 158 
 
 275 
 
 9333 9491 96481 9806^ 9964; .122 .279 
 
 .437 ,594 
 
 .752] 158 
 
 276 
 
 440909 1066 1224 13811 1538 ! 1695 ! 1852 2009 2166 
 
 2323 
 
 157 
 
 277 
 
 278 
 
 2480| ?637 2793 
 4045 4201 14357 
 
 29501 3106! 3263 3419 3576; 3732 
 4513: 4689 4825 493 !' 5137; 5293 
 
 3889 
 5449 
 
 157 
 156 
 
 279 
 
 5604 5760 1 5915 6071 6226 6382 6537 fi6J>3 6848 
 
 7003 
 
 155 
 
 N. 
 
 1 | 2 | 3 4 5 t 6 
 
 7 8 
 
 9 
 
 D.T 
 
A TABLE OF LOGARITHMS FROM 1 TO 10,000. 
 
 N. 
 
 1 2 | 3 t 4 
 
 6 6 f 7 j 8 | 9 | D. 
 
 280 
 
 447158 
 
 7313| 7468 
 
 7623 
 
 7778| T933 
 
 8088 
 
 8242, 8397 
 
 8552 
 
 155 
 
 281 
 
 8706 
 
 8861 
 
 9015 
 
 9170 
 
 9324 
 
 9478 
 
 9633 
 
 9787 9941 
 
 ..95 
 
 154 
 
 282 
 
 450249 
 
 0403 
 
 0557 
 
 0711 
 
 0865 1018 
 
 1172 
 
 1326 1479 
 
 1633 
 
 154 
 
 283 
 
 1786 
 
 1940 
 
 2093 
 
 2247 
 
 2400 2553 
 
 2706 
 
 2859 3012 
 
 3165 
 
 153 
 
 284 
 
 3318 
 
 3471 
 
 3624 
 
 3777 
 
 3930 
 
 4082 
 
 4235 
 
 4387 4540 
 
 4692 
 
 153 
 
 285 
 
 4845 
 
 4997 
 
 5150 
 
 5302 
 
 5454 
 
 5606 
 
 5758 
 
 5910 6062 
 
 6214 
 
 152 
 
 286 
 
 6366 
 
 6518 
 
 6670 
 
 6821 
 
 6973 
 
 7125 
 
 7276 
 
 7428 
 
 7579 
 
 7731 
 
 152 
 
 287 
 
 7882 
 
 8033 
 
 8184 
 
 8336 
 
 8487 
 
 8638 
 
 8789 
 
 8940 
 
 9091 
 
 9242 
 
 151- 
 
 288 
 
 9392 
 
 9543 
 
 9694 
 
 9845 
 
 9995i .146 
 
 .296 
 
 .447 
 
 .597 
 
 .748 
 
 151 
 
 289 
 
 460898 
 
 1048 
 
 1198 
 
 1348 
 
 1499 
 
 1649 
 
 1799 
 
 1948 
 
 2098 
 
 2248 
 
 150 
 
 290 
 
 462398 
 
 2548 
 
 2697 
 
 2847 
 
 2997 
 
 3146 
 
 3296 
 
 3445 
 
 3594 
 
 3744 
 
 150 
 
 291 
 
 3893 
 
 4042 
 
 4191 
 
 4340 
 
 4490 
 
 4639 
 
 4788 
 
 4936 
 
 5085 
 
 5234 
 
 149 
 
 292 
 
 5383 
 
 5532 
 
 5680 
 
 5829 
 
 5977 
 
 6126 
 
 6274 
 
 6423 
 
 6571 
 
 6719 
 
 149 
 
 293 
 
 6868 
 
 7016 
 
 7164 
 
 7312 
 
 7460 
 
 7608 
 
 7756 
 
 7904 
 
 8052 
 
 8200 
 
 148 
 
 294 
 
 8347 
 
 8495 
 
 8643 
 
 8790 
 
 8938 
 
 9085 
 
 9233 
 
 9380 
 
 9527 
 
 9675 
 
 148 
 
 295 
 
 9822 
 
 9969 
 
 .116 
 
 .263 
 
 .410 .557 
 
 .704 
 
 .851 
 
 .998 
 
 1145 
 
 147 
 
 296 
 
 471292 
 
 1438 
 
 1585 
 
 1732 
 
 1878 
 
 2025 
 
 2171 
 
 2318 
 
 2464 
 
 2610 
 
 146 
 
 297 
 
 2756 
 
 2903 
 
 3049 
 
 3195 
 
 3341 
 
 3487 
 
 3633 
 
 3779 
 
 3925 
 
 4071 
 
 146 
 
 298 
 
 4216 
 
 4362 
 
 4508 
 
 4653 4799 4944 
 
 5090 
 
 5235 
 
 5381 
 
 5526 
 
 146 
 
 299 
 
 5671 
 
 58 1 6 
 
 5962 
 
 6107 6252 6397 
 
 6542 
 
 6687 
 
 6832 
 
 6976 
 
 145 
 
 300 
 
 477121 
 
 7266 
 
 7411 
 
 7555 7700 
 
 7844 
 
 7989 
 
 8133 
 
 8278 
 
 8422 
 
 145 
 
 301 
 
 8566 
 
 8711 
 
 8855 
 
 8999 
 
 9143 
 
 9287 
 
 9431 
 
 9575 
 
 9719 
 
 9863 
 
 144 
 
 302 480007 
 
 0151 
 
 0294 
 
 0438 0582 
 
 0725 
 
 0869 
 
 1012 
 
 1156 
 
 1299 
 
 144 
 
 303 1443 
 
 15S6 
 
 1729 
 
 1872! 2016 
 
 2159 
 
 2302 
 
 2445 
 
 2588 
 
 2731 
 
 143 
 
 304 
 
 2874 
 
 3016 
 
 3159 
 
 3302! 3445 
 
 3587 
 
 3730 
 
 3872 
 
 4015 
 
 4157 
 
 143 
 
 305 
 
 4300 
 
 4442 
 
 4585 
 
 472714869! 5011 
 
 5153 
 
 52951 5437 
 
 5579 
 
 142 
 
 300 
 
 5721 
 
 5853 
 
 6005 
 
 6147 6289 
 
 6430 6572! 6714 6855 
 
 6997 
 
 142 
 
 307 
 
 7138 
 
 7280 7421 
 
 7563 
 
 7704 7845 7986 
 
 8127 8269 
 
 8410 
 
 141 
 
 308 
 
 8551 
 
 8692| 8833 
 
 8974 
 
 9114 
 
 9255 
 
 9396 
 
 9537 
 
 9677 
 
 9818 
 
 141 
 
 309 
 
 9958 
 
 ..99 
 
 .239 
 
 .380| .520 j .661 
 
 .801 
 
 .941 
 
 1081 
 
 1222 
 
 140 
 
 310 
 
 491362 
 
 1502 
 
 1642 
 
 1782 19221 2062 
 
 2201 
 
 2341 
 
 2481 
 
 2621 
 
 140 
 
 311 
 
 2760 
 
 2900 3040 
 
 31791 3319 
 
 3458 
 
 3597 
 
 3737) 3876! 4015 
 
 139 
 
 312 
 
 4155 
 
 4294 4433 
 
 4572! 471114850 
 
 4989 
 
 5128 
 
 5267! 5406 
 
 139 
 
 313 
 
 5544 
 
 56831 5822 
 
 5960 6099 
 
 62381 6376 
 
 6515 
 
 6653 
 
 6791 
 
 139 
 
 314 
 
 6930| 7068 7206 
 
 7344 7483 
 
 7621 
 
 7759 7897 
 
 8035 
 
 8173 
 
 138 
 
 315 
 
 8311 
 
 8448 8586 
 
 8724! 8802 
 
 8999 
 
 9137 
 
 9275 
 
 9412 
 
 9550 
 
 138 
 
 316 
 
 9687 
 
 9824 
 
 9962 
 
 ..99 .236 
 
 .374 
 
 .511 
 
 .648 
 
 .785 
 
 .922 
 
 137 
 
 317 
 
 501059 
 
 1196 
 
 1333 
 
 1470 1607 
 
 1744 
 
 1880 2017 
 
 2154 2291 
 
 137 
 
 318 
 
 2427 
 
 2564 2700! 2837 2973 
 
 3109 
 
 3246 
 
 3382 
 
 3518 
 
 3655 
 
 136 
 
 319 
 
 3791 
 
 3927 
 
 4063' 4199| 4335| 4471 
 
 4G07 
 
 4743 
 
 4878 
 
 5014 
 
 136 
 
 320 
 
 505150 
 
 5286 
 
 5421 5557 
 
 56931 5828 
 
 5964 
 
 6099 6234 
 
 6370 
 
 136 
 
 321 
 
 6505 
 
 6640 
 
 6776 6911 
 
 7046 
 
 7181 
 
 7316 
 
 7451 
 
 7586 
 
 7721 
 
 135 
 
 322 
 
 7856 
 
 7991 
 
 8126 8260 8395 
 
 8530 
 
 8664 
 
 8799 
 
 8934 
 
 9068 
 
 135 
 
 323 
 
 9203 
 
 9337 
 
 9471 
 
 9606 9740 9874 
 
 ...9 .143 
 
 .277 
 
 .411 
 
 134 
 
 324 
 
 510545 
 
 0679 
 
 0813 
 
 0947 
 
 1081 
 
 1215 
 
 1349! 1482 
 
 1616 
 
 1750 
 
 134 
 
 325 
 
 1883 
 
 2017 
 
 2151 
 
 2284 
 
 2418 
 
 2551 2684 2818 
 
 2951 
 
 3084 
 
 133 
 
 326 
 
 3218 
 
 3351 
 
 3484 
 
 3617 3750 
 
 3883 4016 
 
 4149 
 
 4282 
 
 4414 
 
 133 
 
 327 
 
 4548 
 
 4681 4S13 
 
 4946 5079 
 
 5211 
 
 5344 
 
 5476 
 
 5609 
 
 5741 
 
 133 
 
 328 
 
 5874 
 
 6006 
 
 6139 
 
 627 ll 6403 
 
 6535 
 
 6668 
 
 6800 
 
 6932 
 
 7064 
 
 132 
 
 329 
 
 71*6 
 
 7328 
 
 7460 
 
 7592 
 
 7724 
 
 7855 
 
 7987 
 
 8119 
 
 8251 
 
 8382 
 
 132 
 
 330 
 
 518514 
 
 8646 
 
 8777 
 
 8909 
 
 9040 
 
 9171 
 
 9303 
 
 9434 
 
 9566 
 
 9697 
 
 131 
 
 331 
 
 9828 
 
 9959 
 
 ..90 
 
 .221 
 
 .353 .484 
 
 .615 
 
 .745 
 
 ,876 
 
 1007 
 
 131 
 
 332 
 
 521138 
 
 1269 
 
 1400 
 
 1530 
 
 1661 
 
 1792 
 
 1922 
 
 2053 
 
 2183 
 
 2314 
 
 131 
 
 333 
 
 2444 
 
 2575 
 
 2705 
 
 2835 2966 
 
 3096 
 
 3226 
 
 3356 
 
 348 6 
 
 3816 
 
 130 
 
 334 
 
 3746 
 
 3876 
 
 4006 
 
 4136! 4266 
 
 4396 
 
 4526 
 
 4656 
 
 4785 
 
 4915 
 
 130 
 
 335 
 
 5045 
 
 5174 
 
 5304 
 
 5434) 5563! 5693 
 
 5822 
 
 5951 
 
 6081 
 
 6210 
 
 129 
 
 336 
 
 6339 
 
 6469 
 
 6598 
 
 67271 6856 6985 
 
 7114 
 
 7343 
 
 737-4 
 
 7501 
 
 129 
 
 33 7 
 
 7630 
 
 7759 
 
 7888 
 
 8016 
 
 81451 8274 
 
 8402 
 
 8531 
 
 8660 
 
 8788 
 
 12 
 
 338 
 339 
 
 8917 9045J 9174 
 5302001 0328! 0456 
 
 9302 
 0584 
 
 9430 
 0712 
 
 9559 
 0840 
 
 9687 
 0968 
 
 9815 9943 
 10961 1223 
 
 ..72 
 1351 
 
 128 
 128 
 
 N. 1 2 I 3 4 
 
 f 5 | 6 ! 7 8 9 t IX 
 
A TABLE OF LOGARITHMS FilOM 1 TO 10,000 
 
 N. | 1 
 
 2 | 3 | 4 
 
 5 ! 6 | 7 | 8 
 
 9 | D. 
 
 340 
 
 531479 
 
 1607 
 
 1734 
 
 1862 
 
 1990 
 
 2117 
 
 2245 
 
 2372 
 
 2500 
 
 2627 
 
 128 
 
 341 
 
 2754 
 
 2882 
 
 3009 
 
 3136 
 
 3264 
 
 3391 
 
 3518 
 
 3645 
 
 3772 
 
 3899 
 
 127 
 
 342 
 
 4026 
 
 4153 
 
 4280 
 
 4407 
 
 4534 
 
 4661 
 
 4787 
 
 4914 
 
 5041 
 
 5167 
 
 127 
 
 343 
 
 5294 
 
 5421 
 
 5547 
 
 5674 
 
 5800 
 
 5927 
 
 6053 
 
 6180 
 
 6306 
 
 6432 
 
 126 
 
 344 
 
 6558 
 
 6685 
 
 6811 
 
 6937 
 
 7063 
 
 7189 
 
 7315 
 
 7441 
 
 7567 
 
 7693 
 
 126 
 
 345 
 
 7819 
 
 7945 
 
 8071 
 
 8197 
 
 8322 
 
 8448 
 
 8574 
 
 8699 
 
 8825 
 
 8951 
 
 126 
 
 346 
 
 9076 
 
 9202 
 
 9327 
 
 9452 
 
 9578 
 
 9703 
 
 9829 
 
 9954 
 
 ..79 
 
 .204 
 
 125 
 
 347 
 
 540329 
 
 0455 
 
 0580! 0705- 
 
 0830 
 
 0955 
 
 1080 
 
 1205 
 
 13.30 
 
 1454 
 
 125 
 
 348 
 
 1579 
 
 1704 
 
 1829 1953 
 
 2078 
 
 2203 
 
 2327 
 
 2452 
 
 2576 
 
 2701 
 
 125 
 
 349 
 
 2825 
 
 2950 
 
 3074 3199 
 
 3323 
 
 3447 
 
 3571 
 
 3696 
 
 ssro 
 
 3944 
 
 124 
 
 350 
 
 544068 
 
 4192 
 
 4316 4440 
 
 4564 
 
 4688 
 
 4812 
 
 4936 
 
 5060 
 
 5183 
 
 124 
 
 351 
 
 5307 
 
 5431 
 
 5555 5678 
 
 5802 
 
 5925 
 
 6049 
 
 6172 
 
 6296 
 
 6419 
 
 124 
 
 352 
 
 6543 
 
 6666 
 
 6789 
 
 6913 
 
 7036 
 
 7159 
 
 7282 
 
 7405 
 
 7529 
 
 7652 
 
 123 
 
 353 
 
 7775 
 
 7898 
 
 8021 
 
 8144 
 
 8267 
 
 8389 
 
 8512 
 
 8G35 
 
 8758 
 
 8881 
 
 123 
 
 354 
 
 9003 
 
 9126 
 
 9249' 9371 .9484 
 
 9616 
 
 9739 
 
 986 1! 9984 
 
 .106 
 
 123 
 
 355 
 
 550228 
 
 0351 
 
 0473 0595 
 
 0717 
 
 0840 
 
 0962 
 
 1084 
 
 1206 
 
 1328 
 
 122 
 
 356 
 
 1450 
 
 1572 
 
 1694 1816 
 
 1938 
 
 2060 
 
 2181 
 
 2303 
 
 2425 
 
 2547 
 
 122 
 
 357 
 
 2668 
 
 2790 
 
 2911 
 
 3033 
 
 3155 
 
 3276 
 
 3398 
 
 3519 
 
 3640 
 
 3762 
 
 121 
 
 358 
 
 3883 
 
 4004 
 
 4126 
 
 4247 
 
 4368 
 
 4489 
 
 4610 
 
 4731 
 
 4852 
 
 4973 
 
 121 
 
 359 
 
 5094 
 
 5215 
 
 5336| 5457 
 
 5578 
 
 5699 
 
 5820' 
 
 5940 
 
 6061| 6182 
 
 121 
 
 360 
 
 556303 
 
 6423 
 
 6544 6664 
 
 6785 
 
 6905 
 
 7026 
 
 7146 
 
 7267 
 
 7387 
 
 120 
 
 381 
 
 7507 
 
 7627 
 
 7748 
 
 7868 
 
 7988 
 
 8108 
 
 8228 
 
 8349 8469 
 
 8589 
 
 120 
 
 362 
 
 8709 
 
 8829 
 
 8948 
 
 9068 
 
 9188 
 
 9308 
 
 9428 
 
 9548 9667 
 
 9787 
 
 120 
 
 363 
 
 9907 
 
 ..26 
 
 .146 .265 
 
 .385 
 
 .504 
 
 .624 
 
 .743! .863 .982 
 
 119 
 
 364 
 
 561101 
 
 1221 
 
 1340 1459 
 
 1578 
 
 1698 
 
 1817 
 
 1&38I 2055! 2174 
 
 119 
 
 365 
 
 2293 
 
 2412 
 
 2531! 2650 
 
 2769 
 
 2887 
 
 3006 
 
 3125 
 
 3244! 3362 
 
 119 
 
 386 
 
 3481 
 
 3600 
 
 37181 3837 
 
 3955 
 
 4074i 4192 
 
 4311 
 
 4429 
 
 4548 
 
 119 
 
 367 
 
 4666 
 
 4784 
 
 4903 5021 
 
 5135 
 
 5257 5376 
 
 5494 
 
 5612 
 
 5730 
 
 118 
 
 368 
 
 5848 
 
 5966 
 
 6084 6202 
 
 6320 
 
 6437 0555 
 
 6673 
 
 6791 
 
 6909 
 
 118 
 
 369 
 
 7026 
 
 7144 
 
 72G2 7379 
 
 7497 
 
 7614J 7732 
 
 7849 7967 
 
 8084 
 
 118 
 
 370 
 
 568202 
 
 8319 
 
 8436i 8554 
 
 8671 
 
 8788 8905 
 
 90231 9140 
 
 9257 
 
 117 
 
 371 
 
 9374 
 
 9491 
 
 9608J 9725 
 
 9842 
 
 9959 ..76 
 
 .19k 
 
 .309 
 
 .426. 
 
 117 
 
 372 
 
 570543 
 
 0660 
 
 077G 
 
 0893 
 
 1010 
 
 1126 
 
 1243 
 
 1359 
 
 1476 
 
 1592 
 
 117 
 
 373 
 
 1709 
 
 1825 
 
 1942 
 
 2058 
 
 2174 
 
 2291 
 
 2407 
 
 2523 
 
 2639 
 
 2755 
 
 116 
 
 374 
 
 2872 
 
 2938 
 
 3104 
 
 3220 
 
 3336 3-152 
 
 3568 
 
 3684 
 
 3800 
 
 3915 
 
 116 
 
 375 
 
 4031 
 
 4147 
 
 4263 4379 
 
 4494 4610 
 
 4726 
 
 4841 
 
 4957 5072 
 
 116 
 
 376 
 
 5188 
 
 5303 
 
 5419 
 
 5534 
 
 5650 
 
 5765 
 
 5880 
 
 599-6 6111 6226 
 
 115 
 
 377 
 
 6341 
 
 6457 
 
 6572 
 
 6687 
 
 6802 
 
 6917 
 
 7032 
 
 7147 
 
 7262 7377 
 
 115 
 
 378 
 
 7492 
 
 7H07 
 
 7722J 7836 
 
 7951 
 
 8066 8181 
 
 8295 
 
 8410 8525 
 
 115 
 
 379 
 
 8639 
 
 8754 
 
 83681 8983 
 
 9097 
 
 9212 
 
 9326 
 
 9441 
 
 9555 
 
 9669 
 
 114 
 
 380 
 
 579784 
 
 989S 
 
 ..12| .126 
 
 .241 
 
 .355 
 
 .469 
 
 .583 
 
 .697 
 
 .811 
 
 114 
 
 381 
 
 580925 
 
 1039 
 
 11531 12G7 
 
 1381 
 
 1495 
 
 1608 
 
 1722 
 
 1836 
 
 1950 
 
 114 
 
 382 
 
 20G3 
 
 2177 
 
 2291 
 
 2404 
 
 2518 
 
 2631 
 
 2745 
 
 2858 
 
 2972 
 
 3085 
 
 114 
 
 383 
 
 3199 
 
 3312 
 
 3426 
 
 3539 
 
 3652 
 
 3765 
 
 3879 
 
 3992 
 
 4105 
 
 4218 
 
 113 
 
 384 
 
 4331 
 
 4441 
 
 4557 
 
 4670 
 
 4733 
 
 48!)6i 5009 
 
 5122 
 
 5235 
 
 5348 
 
 113 
 
 385 
 
 5461 
 
 5574 
 
 5686 
 
 5799 
 
 5912 
 
 6024 6137 
 
 6250 
 
 6362 
 
 6475 
 
 113 
 
 386 
 
 6587 
 
 6700 
 
 6812 
 
 6925 
 
 7037 
 
 7149 7262 
 
 7374 
 
 7486 
 
 7599 
 
 112 
 
 387 
 
 7711 
 
 7823 
 
 7935 
 
 8047 
 
 8160 
 
 8272 
 
 8384 
 
 8496 
 
 8608 
 
 8720 
 
 112 
 
 388 
 
 8832 
 
 8944 
 
 9056 
 
 9167 
 
 9279 
 
 9391 
 
 9503 
 
 9615 
 
 9726 
 
 9838 
 
 112 
 
 389 
 
 9950 
 
 ..61 
 
 .173 
 
 .284 
 
 .396 
 
 .507 
 
 .619 
 
 .730 
 
 .842 
 
 .953 
 
 112 
 
 390 
 
 591005 
 
 1176 
 
 1287 
 
 1399 
 
 1510 
 
 1621 
 
 1732 
 
 1843 
 
 1955 
 
 2068 
 
 111 
 
 391 
 
 2177 
 
 2288 
 
 2399 
 
 2510 
 
 2621 
 
 2732 
 
 2843 
 
 2954 
 
 3064 
 
 3175 
 
 111 
 
 392 
 
 3286 
 
 3397 
 
 3508 
 
 3618 
 
 3729 
 
 3840 
 
 3950 
 
 4061 
 
 4171 
 
 4282 
 
 111 
 
 393 
 
 4393 
 
 4503 
 
 4614 
 
 4724 
 
 4834 
 
 4945 
 
 5055 
 
 5165 
 
 5276 
 
 5386 
 
 110 
 
 394 
 
 5496 
 
 5606 
 
 5717 
 
 5827 
 
 5937 
 
 6047 
 
 6157 
 
 6267 
 
 6377 
 
 6487 
 
 110 
 
 395 
 
 6597 
 
 6707 
 
 6817 
 
 6927 
 
 7037 
 
 7146 
 
 7256 
 
 7366 
 
 7476 
 
 7586 
 
 110 
 
 396 
 
 7695 
 
 7805 
 
 7914 
 
 8024 
 
 8134 
 
 8243 
 
 8353 
 
 8462 
 
 85721 8681 
 
 110 
 
 397 
 
 8791 
 
 8900 
 
 9009 
 
 9119 
 
 9228 
 
 9337 
 
 9446 
 
 9556 
 
 9665, 9774 
 
 109 
 
 398 
 
 9883 
 
 9992 
 
 .101 
 
 .210 
 
 .319 
 
 .428 
 
 .537 
 
 .646 
 
 .755 
 
 .864 
 
 109 
 
 399 
 
 600973 
 
 1082 
 
 1191 
 
 1299 
 
 1408 
 
 1517 
 
 1625 
 
 1734 
 
 1843 
 
 lyM 
 
 109 
 
 N. | | 1 
 
 2 
 
 8 
 
 4|5|6|7|8 91 D. 
 
A TABLE OF LOGARITHMS FKOM I TO 10,000. 
 
 N. j 
 
 1 2 
 
 3 I 4 
 
 5 6 | 7 ! 8 9 D 
 
 400 
 401 
 
 602060 
 3144 
 
 216912277 
 3253 3361 
 
 2386, 2494 
 3469! 3577 
 
 26031 
 3686 
 
 2711 
 3794 
 
 2819 
 3902 
 
 2928 
 4010 
 
 3036 
 
 4118 
 
 108 
 108 
 
 402 
 
 4226 
 
 4334 
 
 4442 
 
 4550 
 
 4658 
 
 4766 
 
 4874 
 
 4982 
 
 5089 
 
 5197 
 
 108 
 
 403 
 
 5305 
 
 5413 
 
 5521 
 
 5628 
 
 5736 
 
 5844 
 
 5951 
 
 6059 
 
 6166 
 
 6274 
 
 108 
 
 404 
 
 6381 
 
 6489 
 
 6596 
 
 6704 
 
 6811) 6919 
 
 7026 
 
 7133 
 
 7241 
 
 7348 
 
 107 
 
 405 
 
 7455 
 
 7562 
 
 7669 
 
 7777 
 
 7884 
 
 7991 
 
 8098 
 
 8205 
 
 8312 
 
 8419 
 
 107 
 
 406 
 
 8526 
 
 8633 
 
 8740 
 
 8847 
 
 8954 
 
 9061 
 
 9167 
 
 9274 
 
 9381 
 
 9488 
 
 107 
 
 407 
 
 9594 9701 
 
 9808 
 
 9914! ..21 
 
 .128 
 
 .234 .341 
 
 .447 
 
 .554 
 
 107 
 
 408 
 
 610660! 0767 
 
 0873 
 
 09791 1086 
 
 1192 
 
 1298 
 
 1405 
 
 1511 
 
 1617 
 
 106 
 
 409 
 
 17231 1829 
 
 1936 
 
 20421 2148 
 
 2254 
 
 2360 
 
 2466 
 
 2572 
 
 2678 
 
 106 
 
 476 
 
 612784 
 
 2890 
 
 2996 
 
 3102 
 
 3207 
 
 3313 
 
 3419 
 
 3525 
 
 3630 
 
 3736 
 
 106 
 
 411 
 
 3842 
 
 3947] 4053 
 
 4159 
 
 4264 
 
 4370 
 
 4475 
 
 4581 
 
 4686 
 
 4792 
 
 106 
 
 412 
 413 
 
 489? 
 5950 
 
 5003 5108 
 6055! 6160 
 
 5213 
 6265 
 
 5319 
 6370 
 
 5424 
 6476 
 
 5529 
 6581 
 
 5634 
 6686 
 
 5740 
 6790 
 
 5845 
 6895 
 
 105 
 105 
 
 414 
 415 
 
 416 
 
 7000 
 8048 
 9093 
 
 7105 72101 7315J 7420 
 
 8153i 8257)8362 8466 
 9198| 9302J9406 9511 
 
 7525 
 8571 
 9615 
 
 7629 
 8676 
 9719 
 
 7734 
 
 8780 
 9824 
 
 7839 
 8884 
 9928 
 
 7943 
 8989 
 ..32 
 
 105 
 105 
 104 
 
 417, 
 
 620136 
 
 0240 
 
 0344 i 0448 
 
 0552 
 
 0656 
 
 0760 
 
 0864 
 
 0968 
 
 1072 
 
 104 
 
 418 
 
 1176 
 
 1280 
 
 1384) 1488 
 
 1592 
 
 1695 
 
 1799 
 
 1903 
 
 2007 
 
 2110 
 
 104 
 
 419 
 
 2214 
 
 2318 
 
 242112525 
 
 2628) 2732 
 
 2835 
 
 2939 
 
 3042 
 
 3146 
 
 104 
 
 420 
 
 623249 
 
 3353 3456 
 
 3559 
 
 3663 
 
 3766 
 
 3869 
 
 397314076 
 
 4179 
 
 103 
 
 421 
 
 4282 
 
 "4385 
 
 4488 
 
 4591 
 
 4695 
 
 4798 
 
 4901 
 
 5004 5107| 5210 
 
 103 
 
 422 
 
 5312 
 
 5415 
 
 5518)5621 
 
 5724 
 
 5827 
 
 5929 
 
 6032 6135 6238 103 
 
 423 
 
 6340 
 
 6443 
 
 6546 
 
 6648! 6751 
 
 6853 
 
 6956 7053) 71611 7263 
 
 103 
 
 424 
 
 7366 
 
 7468 
 
 7571 
 
 7673) 7775 
 
 7878 
 
 7980 8082! 8185J 8287 
 
 102- 
 
 425 
 
 8389 
 
 8491 
 
 8593 
 
 8695 8797 
 
 8900 
 
 9002 9104 9206! 9308 
 
 102 
 
 426 
 
 9410 
 
 9512 
 
 9613J 9715 
 
 9817 9919 
 
 ..21 .123! .224) .326) 102 
 
 427 
 
 630428 
 
 0530 
 
 0631 
 
 0733 
 
 0835 
 
 0936 
 
 1038 
 
 1139! 12411 1342 
 
 102 
 
 428 
 
 1444 
 
 1545 
 
 1647 
 
 1748 
 
 1849 
 
 1951 
 
 2052 
 
 2 153 i 2255! 2356 
 
 101 
 
 4','.9 
 
 2457 
 
 2559 
 
 2660 
 
 2761 
 
 2862 
 
 2963 
 
 3064 
 
 3165) 3266 3367 
 
 101 
 
 480 
 
 633408 
 
 J569 
 
 3670 
 
 3771 
 
 3872 
 
 3973 
 
 4074 
 
 4175 4276 4376 
 
 100 
 
 431 
 432 
 
 4477 
 
 5484 
 
 4578 
 5584 
 
 4679 4779 
 5685 5785 
 
 4880) 4981 
 5886) 5986 
 
 5081 51821 5283 5383 100 
 60871 6187 6287 6388 100 
 
 433 
 
 6488 
 
 9588 
 
 6688 j 6789 6889 
 
 69891 7089 7189 7290 7390) 100 
 
 434 
 
 7490 
 
 7590 
 
 7690 7790 
 
 7890 
 
 79901 8090 8190 8290 83891 99 
 
 435 
 
 8489 
 
 8589 
 
 8689 
 
 8789 
 
 8888 
 
 8988 
 
 9088 9188 
 
 9287 9387 
 
 99 
 
 436 
 
 9486 
 
 9586 
 
 9686 
 
 9785 
 
 9885 
 
 9984 
 
 ..84! .183 
 
 .283 
 
 .382 
 
 99 
 
 437 
 
 640481) 0581 
 
 0680 
 
 0779 0879 
 
 0978 
 
 1077i 1177 
 
 1276 
 
 1375 
 
 99 
 
 438 
 
 1474 1573 
 
 1672 
 
 1771! 1871 
 
 1970 
 
 2069 2168 
 
 2267) 2366 
 
 99 
 
 439 
 
 2465 2563 
 
 2662 2761 
 
 2860 
 
 2959 
 
 3058 3156 
 
 3255 3354 
 
 99 
 
 440 
 
 643453 3551 
 
 3650 
 
 3749 
 
 384-7 
 
 3946 
 
 4044 
 
 4143 
 
 4242! 4340 
 
 98 
 
 441 
 
 4439 4537 
 
 4636 
 
 4734 
 
 4832 
 
 4931 
 
 5029 
 
 5127) 5226 
 
 5324 
 
 98 
 
 442 
 
 5422J 5521 
 
 5819 
 
 5717 
 
 5815 
 
 5913 
 
 6011 
 
 6110! 6208 
 
 6306 
 
 98 
 
 443 
 
 6404 6502 
 
 6600 6698) 6796 
 
 6894 
 
 6992 
 
 7089 7187 
 
 7285 
 
 98 
 
 444 
 
 7383 7481 
 
 7579 7676) 7774 
 
 7872 
 
 7969 
 
 8067 
 
 8165 
 
 8262 
 
 98 
 
 445 
 
 8360 j 8458 
 
 8555 8653 8750 8848 
 
 8945! 9043 
 
 9140 
 
 9237 
 
 97 
 
 446 
 
 9335 9432 
 
 9530 i 9627 
 
 9724 
 
 9821 
 
 9919 
 
 ..16 
 
 .113 
 
 .210 
 
 97 
 
 447 
 
 650308; 0405 
 
 0502 0599 
 
 0696 
 
 0793 
 
 0890 
 
 0987 
 
 1084 
 
 1181 
 
 97 
 
 44S 
 449 
 
 1278J 1375 
 22461 2343 
 
 1472) 1569 
 24401 2536 
 
 166(3 1762 
 2633 ! 2730 
 
 1859 
 
 2826 
 
 1956 
 2923 
 
 2053) 2150 
 3019 3116 
 
 97 
 97 
 
 450 
 
 6,53213! 3309 
 
 3405 3502 
 
 35981 3695 
 
 3791 
 
 3888 1 3984 
 
 4080 
 
 96 
 
 451 
 
 4177 
 
 4273 
 
 4369) 4465 
 
 4562 4658 
 
 4754 
 
 4850! 4946 
 
 5042 
 
 96 
 
 452 
 
 5138 
 
 5235 
 
 53311 5427 
 
 5523 5619 
 
 5715 
 
 5810 
 
 5906 
 
 60021 96 
 
 453 
 
 6098J 6194 
 
 62901 6386 
 
 6482 6577 
 
 6673) 6769 
 
 6864 
 
 69601 96 
 
 454 
 
 7050 7152 
 
 7247 
 
 7343 7438i 7534 
 
 7629 
 
 7725! 7820 
 
 7916 
 
 96 
 
 455 
 
 8011 8107 
 
 8202 
 
 8298! 8393 
 
 84881 8584 
 
 8679 
 
 8774' 8870 
 
 95 
 
 456 
 
 8965 9060 
 
 9155 
 
 9250! 9346 
 
 9441 
 
 9536 
 
 9631 
 
 9726 
 
 9821 
 
 95 
 
 457 
 
 9916 ..1 
 
 .106 
 
 .201 
 
 .296) .391 
 
 .486 
 
 .581 
 
 .676 
 
 .771 
 
 95 
 
 458 
 
 660865| 0960 
 
 1055 
 
 1 150 
 
 1245 
 
 1339I 1434 
 
 1529 
 
 1623 
 
 1718 
 
 95 
 
 459 
 
 1813! 1907 
 
 2002 
 
 2096 
 
 2191 
 
 228012380 
 
 2475 2569! 26031 95 
 
 N. j (I I 
 
 2 
 
 3 4 
 
 5 6 | 7 | 8 
 
 9 
 
 D, 
 
A TABLE OF LOGARITHMS FROM J TO 10,000. 
 
 N. 
 
 o ; i 
 
 2 | 3 | 4 ! 5 
 
 6 1 7 
 
 8 | 9 | D. 
 
 460 
 
 662758] 
 
 2852 [2947 
 
 3041 
 
 3135 3230 
 
 3324 
 
 3418 
 
 3512 
 
 3607, 94 
 
 461 
 
 3701 
 
 379513889 
 
 3983 
 
 4078 
 
 4172 
 
 4266 
 
 4360 
 
 4454 
 
 4548 i 94 
 
 462 
 
 4642 
 
 4736 
 
 4830 
 
 4924 
 
 5018 
 
 5112 
 
 5200 
 
 5299 
 
 5393 
 
 5487 
 
 94 
 
 463 
 
 5581 
 
 5675 
 
 5769 
 
 5862 
 
 5956 
 
 6050 
 
 6143 
 
 6237 
 
 6331 
 
 6424 
 
 94 
 
 464 
 
 6518 
 
 6612 
 
 6705 
 
 6799 
 
 68921 6986 
 
 7079 
 
 7173 
 
 7266 
 
 7360 
 
 94 
 
 165 
 
 7453 
 
 7546 
 
 7640 
 
 7733 
 
 7826 7920 
 
 8013 
 
 8106 
 
 8199 
 
 8293 
 
 93 
 
 466 
 
 8386 
 
 8479 
 
 8572 
 
 8665 
 
 87591 8852 
 
 8945 
 
 9038 
 
 9131 
 
 9224 
 
 93 
 
 467 
 
 9317 
 
 9410 
 
 9503 
 
 9596 
 
 9689J 9782 
 
 9875 
 
 9967 
 
 ..60 
 
 .153 
 
 93 
 
 468 
 
 670246 
 
 0339 
 
 0431 
 
 0524 
 
 0617 
 
 0710 
 
 0802 
 
 0895 
 
 0988 
 
 1080! 93 
 
 469 
 
 1173 
 
 1265 
 
 1358 
 
 1451 
 
 1543 
 
 1636 
 
 1728 
 
 1821 
 
 1913 
 
 2005 93 
 
 470 
 
 672098 
 
 2190 
 
 2283 
 
 2375 
 
 2467 
 
 2560 
 
 2652 
 
 2744 
 
 2836 
 
 29291 92 
 
 471 
 
 3021 
 
 3113 
 
 3205 
 
 3297 
 
 3390 
 
 3482 
 
 3574 
 
 366613758 3850 i 92 
 
 472 
 
 3942 
 
 4034 
 
 4126 
 
 4218 
 
 4310 
 
 4402 
 
 4494 
 
 4586 1 4677 4769 92 
 
 473 
 
 4861 
 
 4953 
 
 5045 5137 
 
 5228 
 
 5320 
 
 5412 
 
 5503) 5595J 56871 92 
 
 474 
 
 5778 
 
 5870 
 
 5962 6053 
 
 6145 
 
 6236 
 
 6328 
 
 6419 6511 
 
 66021 92 
 
 475 
 
 6694 
 
 6785 
 
 6876 
 
 6968 
 
 7059 
 
 7151 
 
 7242 
 
 7333 
 
 7424 
 
 7516 
 
 91 
 
 476 
 
 7607 
 
 7698 
 
 7789 
 
 7881 
 
 7972 
 
 8063 
 
 8154 
 
 8245 
 
 8336 
 
 8427 
 
 91 
 
 477 
 
 8518 
 
 8609 
 
 8700 
 
 8791 
 
 8882 
 
 8973 
 
 9064 
 
 9155 
 
 9246 
 
 9337 
 
 91 
 
 478 
 
 9428 
 
 9519 
 
 9610 
 
 9700 
 
 9791 
 
 9882 
 
 9973 
 
 ..63 
 
 .154 
 
 .245 
 
 91 
 
 479 
 
 680336 
 
 0426 
 
 0517 
 
 0607 
 
 0698 
 
 0789 
 
 0879 
 
 0970 
 
 1060 
 
 1151 
 
 91 
 
 480 
 
 681241 
 
 1332 
 
 1422 
 
 1513 
 
 1603 
 
 1693 
 
 1784 
 
 1874 
 
 1964 
 
 2055 
 
 90 
 
 481 
 
 2145 
 
 2235 
 
 2326 
 
 2416 
 
 2506 
 
 2596 
 
 2686 
 
 2777 
 
 2867 
 
 2957 
 
 90 
 
 482 
 
 3047 
 
 3137 
 
 3227 
 
 3317 
 
 3407 
 
 3497 
 
 3587 
 
 3677 
 
 3767 
 
 3857 
 
 90 
 
 483 
 
 3947 
 
 4037 
 
 4127 
 
 4217 
 
 4307 
 
 4396 
 
 4486 
 
 4576 
 
 4666 
 
 4756 
 
 90 
 
 484 
 
 4845 
 
 4935 
 
 5025 
 
 5114 
 
 5204 
 
 5294 
 
 5383 
 
 5473 
 
 5563 
 
 5652 
 
 90 
 
 485 
 
 5742 
 
 5831 
 
 5921 
 
 6010 
 
 6100 
 
 6189 
 
 6279 
 
 6368 
 
 6458 
 
 6547 
 
 89 
 
 486 
 
 6636 
 
 6726 
 
 6815 
 
 6904 
 
 6994 
 
 7083 
 
 7172 
 
 7261 
 
 7351 
 
 7440 
 
 89 
 
 487 
 
 7529 
 
 7618 
 
 7707 
 
 7796 
 
 7886 
 
 7975 
 
 8064 
 
 8153 
 
 8242 
 
 8331 
 
 89 
 
 488 
 
 8420 
 
 8509 
 
 8598 
 
 8687! 8776 
 
 8865 
 
 8953 
 
 9042 
 
 9131 
 
 9220 
 
 89 
 
 489 
 
 9309 
 
 9398 
 
 9486 
 
 9575 
 
 9664 
 
 9753 
 
 9841 
 
 9930 
 
 ..19 
 
 .107 
 
 89 
 
 490 
 
 690196 
 
 0285 
 
 0373 
 
 0462 
 
 0550 
 
 0639 
 
 0728 
 
 0816 
 
 0905 
 
 0993 
 
 89 
 
 491 
 
 1081 
 
 1170 
 
 1258 
 
 1347 
 
 1435 
 
 1524 
 
 1612 
 
 1700 
 
 1789 
 
 1877 
 
 88 
 
 492 
 
 1965 
 
 2053 
 
 2142 
 
 2230 
 
 2318 
 
 2406 
 
 2494 
 
 2583 
 
 2671 
 
 2759 
 
 88 
 
 493 
 
 2847 
 
 2935 
 
 3023 
 
 3111 
 
 3199 
 
 3287 
 
 3375 
 
 3463 
 
 3*51 
 
 3639 
 
 88 
 
 494 
 
 3727 
 
 3815 
 
 3903 
 
 3991 
 
 4078 
 
 4166 
 
 4254 
 
 4342 
 
 4430 
 
 4517 
 
 88 
 
 495 
 
 4605 
 
 4693 
 
 4781 
 
 4868 
 
 4956 
 
 5044 
 
 5131 
 
 6219 
 
 5307 
 
 5394 
 
 88 
 
 496 
 
 5482 
 
 5569 
 
 5657 
 
 5744 
 
 5832 
 
 5919 
 
 6007 
 
 6094 
 
 6182 
 
 6269 
 
 87 
 
 497 
 
 6356 
 
 6444 
 
 6531 
 
 6618 
 
 6706 i 6793 
 
 6880 
 
 6968 
 
 7055 
 
 7142 
 
 87 
 
 498 
 
 7229 
 
 7317 
 
 7404 
 
 7491 
 
 7578 7665 
 
 7752 
 
 7839 
 
 7926 
 
 8014 
 
 87 
 
 499 
 
 8101 
 
 8188 
 
 8275 
 
 8362 
 
 8449 8535 
 
 8622 
 
 8709 
 
 8796 
 
 8883 
 
 87 
 
 500 
 
 698970 
 
 9057 
 
 9144 
 
 9231 
 
 9317 
 
 9404 
 
 9491 
 
 9578 
 
 9664 
 
 9751 
 
 87 
 
 501 
 
 9838 
 
 9924 
 
 ..11 
 
 ..98 
 
 .184 
 
 .271 
 
 .358 
 
 .444 
 
 .531 
 
 .617 
 
 87 
 
 502 
 
 700704 
 
 0790 
 
 0877 
 
 0963 
 
 1050 
 
 1136 
 
 1222 
 
 1309 
 
 1395 
 
 1482 
 
 86 
 
 503 
 
 1568 
 
 1654 
 
 1741 
 
 1827 1913 
 
 1999 
 
 2086 
 
 2172 
 
 2258 
 
 2344 
 
 86 
 
 504 
 
 2431 
 
 2517 
 
 2603 
 
 2689 
 
 2775 
 
 2861 
 
 2947 
 
 3033 
 
 3119 
 
 3205 
 
 86 
 
 505 
 
 3291 
 
 3377 
 
 3463 
 
 3549 
 
 3635 
 
 3721 
 
 3807 
 
 3895 
 
 3979 
 
 4065 
 
 86 
 
 506 
 
 4151 
 
 4236 
 
 4322 
 
 4408 4494 
 
 4579 
 
 4665 
 
 4751 
 
 4837 
 
 4922 
 
 86 
 
 507 
 
 5008 
 
 5094 
 
 5179 
 
 5265! 5350 
 
 5436 
 
 5522 
 
 5607 
 
 5693 
 
 5778 
 
 86 
 
 508 
 
 5864 
 
 5949 
 
 6035 
 
 6120 
 
 6206 
 
 6291 
 
 6376 
 
 6462 
 
 6547 
 
 6632 
 
 85 
 
 509 
 
 6718 
 
 6803 
 
 6888 
 
 6974 
 
 7059 
 
 7144 
 
 7229 
 
 7315 
 
 7400 
 
 7485 
 
 85 
 
 510 
 
 707570 
 
 7655 
 
 7740 
 
 7826 
 
 7911 
 
 7996 
 
 8081 
 
 8166 
 
 8251 
 
 8336 
 
 85 
 
 511 
 
 8421 
 
 8506 
 
 8591 
 
 8676 
 
 -8761 
 
 8846 
 
 8931 
 
 9015 
 
 9100 
 
 9185 
 
 85 
 
 512 
 
 9270 
 
 9355 
 
 9440 
 
 9524 
 
 9609 
 
 9694 
 
 9779 
 
 9863 
 
 9948 
 
 ..33 
 
 85 
 
 513 
 
 710117 
 
 0202 
 
 0287 
 
 0371 
 
 0456 
 
 0540 
 
 0625 
 
 0710 
 
 0794 
 
 0879 
 
 85 
 
 514 
 
 0963 
 
 1048 
 
 1132 
 
 1217 
 
 1301 
 
 1385 
 
 1470 
 
 1554 
 
 1639 
 
 1723 
 
 84 
 
 515 
 
 1807 
 
 1892 
 
 1976 
 
 2060 
 
 2144 
 
 2229 
 
 2313 
 
 2397 
 
 2481 
 
 2566 
 
 84 
 
 516 
 
 2650 
 
 2734 
 
 2818 
 
 2902 
 
 298613070 
 
 3154 
 
 3238 
 
 3323 
 
 3407 
 
 84 
 
 517 
 
 3491 
 
 3575 
 
 3650 
 
 3742 
 
 3826 
 
 3910 
 
 3994 
 
 4078 
 
 4162J 4246 
 
 84 
 
 518 
 
 4330 
 
 4414 
 
 4497 458114665 
 
 4749 
 
 4833 
 
 4916 
 
 5000 5084 
 
 84 
 
 519 
 
 5167 
 
 525 1 
 
 5335 54 18 i 5502' 558 G 
 
 5669 
 
 5753 
 
 5836' 5920 
 
 84 
 
 N. 1 1 1 | 2 ! 3 I 4 ! 5 6 | 7 
 
 8 I 9 | D. 
 
A TABLE OF LOGARITHMS FROM 1 TO 10,000. 
 
 N. | | 1 | 2 | 3 | 4 5 | 6 7 | 8 | 9 1). 
 
 520 
 
 716003 
 
 6087i 6170 
 
 6254 
 
 6337 
 
 6421 
 
 6504 6588 6671 
 
 6754 
 
 83 
 
 521 
 
 6838 
 
 6921 
 
 7004 
 
 7088 
 
 7171 
 
 7254 
 
 7338 7421 J7504 
 
 75S7 
 
 83 
 
 522 
 
 7671 
 
 7754 
 
 7837 
 
 7920 
 
 8003 
 
 8086 
 
 8169 
 
 8253 8336 
 
 8419 
 
 83 
 
 523 
 524 
 
 8502 
 9331 
 
 8585 
 9414 
 
 8668 
 9497 
 
 8751 
 9580 
 
 8834 8917 
 96631 9745 
 
 9000 
 
 9828 
 
 9083 9165 
 991119994 
 
 9248 
 ..77 
 
 83 
 83 
 
 525 
 
 720159 
 
 0242 
 
 0325 
 
 0407 
 
 04901 0573 
 
 0655 
 
 0738 i 0821 
 
 0903 
 
 83 
 
 526 
 
 0986 
 
 1068 
 
 1151 
 
 1233 
 
 1316 
 
 1398 
 
 1481 
 
 1563, 1646 
 
 1728 
 
 82 
 
 527 
 
 1811 
 
 1893 
 
 1975 
 
 2058 
 
 2140 
 
 2222 
 
 2305 
 
 2387, 2469 
 
 2552 
 
 82 
 
 528 
 
 2634 
 
 2716 
 
 2798 
 
 2881 
 
 2963 
 
 3045 
 
 3127 
 
 3209 3291 
 
 3374 
 
 82 
 
 529 
 
 3456 
 
 3538 
 
 3620 
 
 3702 
 
 3784 
 
 3866 
 
 3948 
 
 4030 4112 
 
 4194 
 
 82 
 
 530 
 
 724276 
 
 4358 
 
 4440 
 
 4522 
 
 4604 
 
 4685 
 
 4767i 4849i 4931 
 
 5013 
 
 82 
 
 531 
 
 5095 
 
 5176 
 
 5258 
 
 5340 
 
 5422 
 
 5503 
 
 5585 5667 5748 
 
 5830 
 
 82 
 
 532 
 
 5912 
 
 5993 
 
 6075 
 
 6156 
 
 6238 
 
 6320 
 
 6401 
 
 6483 6564 
 
 6646 
 
 82 
 
 533 
 
 6727 
 
 6809 
 
 6890 
 
 6972 
 
 70531 7134 
 
 7216 
 
 7297| 7379 
 
 7460 
 
 81 
 
 534 
 
 7541 
 
 7623 
 
 7704 
 
 7785 
 
 7866 
 
 7948 
 
 8029 
 
 8110 8191 
 
 8273 
 
 81 
 
 535 
 
 8354 
 
 8435 
 
 8516 
 
 8597 
 
 8678 
 
 8759 
 
 8841 
 
 8922 
 
 9003 
 
 9084 
 
 81 
 
 536 
 
 9165 
 
 9246 
 
 9327 
 
 9408 
 
 9489 
 
 9570 
 
 9651 
 
 9732 
 
 9813 
 
 9893 
 
 81 
 
 537 
 
 9974 
 
 ..55 
 
 .136 
 
 .217 
 
 .298 
 
 .378 
 
 .459 
 
 540 
 
 .621 
 
 .702 
 
 81 
 
 538 
 
 730782 
 
 0863 
 
 0944 
 
 1024 
 
 1105 
 
 1186 
 
 1266 
 
 1347 
 
 1428 
 
 1508 
 
 81 
 
 539 
 
 1589 
 
 1C69 
 
 1750 
 
 1830 1911 
 
 1991 
 
 2072 
 
 2152 
 
 2233 
 
 2313 
 
 81 
 
 540 
 
 732394 
 
 2474 
 
 2555 
 
 2635 
 
 2715 
 
 2796 
 
 2876 
 
 2956 
 
 3037 
 
 3117 
 
 80 
 
 541 
 
 3197 
 
 3278 
 
 3358 
 
 3438 
 
 3518 
 
 3598 
 
 3679 
 
 3759 
 
 3839 
 
 3919 
 
 80 
 
 542 
 
 3999 
 
 4079 
 
 4160 
 
 4240 
 
 4320 
 
 4400 
 
 4480 
 
 4560 
 
 4640 
 
 4720 
 
 80 
 
 543 
 
 4800 
 
 4880 
 
 4960 
 
 5040 
 
 5120 
 
 5200 
 
 5279 
 
 5359 
 
 5439 
 
 5519 
 
 80 
 
 544 
 
 5599 
 
 5679 
 
 5759 
 
 5838 
 
 5918 
 
 5998 
 
 6078 
 
 6157 
 
 6237 
 
 6317 
 
 80 
 
 545 
 
 6397 
 
 6476 
 
 6556 
 
 6635 
 
 6715 
 
 6795 
 
 6874 
 
 6954 
 
 7034 
 
 7113 
 
 80 
 
 546 
 
 7193 
 
 7272 
 
 7352 
 
 7431 
 
 7511 
 
 7590 
 
 7670 
 
 7749 
 
 7829 
 
 7908 
 
 79 
 
 547 
 
 7987 
 
 8067 
 
 8146 
 
 8225 
 
 8305 
 
 8384 
 
 8463 
 
 8543 
 
 8622 
 
 8701 
 
 79 
 
 548 
 
 8?%1 
 
 8860 
 
 8939 
 
 9018J 9097 
 
 9177 
 
 9256 
 
 9335 
 
 9414 
 
 9493 
 
 79 
 
 549 
 
 9572 
 
 9651 
 
 9731 
 
 9810 
 
 9889 
 
 9968 
 
 ..47 
 
 .126 
 
 .205 
 
 .284 
 
 79 
 
 550 
 
 740363 
 
 0442 
 
 0521 
 
 0600 
 
 0678 
 
 0757 
 
 0836 
 
 0915 
 
 0994 
 
 1073 
 
 79 
 
 551 
 
 1152 
 
 1230 
 
 1309 
 
 1388 
 
 1467 
 
 1546 
 
 1624 
 
 1703 
 
 1782 
 
 18601 79 
 
 552 
 
 1939 
 
 2018 
 
 2096 
 
 2175 
 
 2254 
 
 2332 
 
 2411 
 
 2489 
 
 2568 
 
 2646 
 
 79 
 
 553 
 
 2725 
 
 2804 
 
 2882 
 
 2961 
 
 3039 
 
 3118 
 
 3196 
 
 3275 
 
 3353 
 
 3431 
 
 78 
 
 554 
 
 3510 
 
 3588 
 
 3667 
 
 3745 
 
 3823 
 
 3902 
 
 3980 
 
 4058 
 
 4136 
 
 4215 
 
 78 
 
 555 
 
 4293 
 
 4371 
 
 4449 
 
 4528 
 
 4608 
 
 46841 4762 
 
 4840 
 
 4919 
 
 4997 
 
 78 
 
 556 
 
 5075 
 
 5153 
 
 5231 
 
 5309 
 
 5387 
 
 5465 
 
 5543 
 
 5621 
 
 5699 
 
 5777 
 
 78 
 
 557 
 
 5855 
 
 5933 
 
 6011 
 
 6089 
 
 6167 
 
 6245 
 
 6323 
 
 6401 
 
 6479 
 
 6556 
 
 78 
 
 558 
 
 6G34 
 
 6712 
 
 6790 
 
 6868 
 
 6945 
 
 7023 
 
 7101 
 
 7179 
 
 72561 7334 
 
 78 
 
 559 
 
 7412 
 
 7489 
 
 7567 
 
 7645 
 
 7722 
 
 7800 
 
 7878 
 
 7955 
 
 8033i 8110 
 
 78 
 
 580 
 
 748188 
 
 8266 
 
 8343 
 
 8421 
 
 8498 
 
 8576 
 
 8653 
 
 8731 
 
 8808 8885 
 
 77 
 
 561 
 
 8963 
 
 9040 
 
 9118 
 
 9195 
 
 9272 
 
 9350 
 
 9427 
 
 9504 
 
 9582 9659 
 
 77 
 
 562 
 
 fi 9736 
 
 9814 
 
 9891 
 
 9968 
 
 ..45 
 
 .123 
 
 .200 
 
 .277! .354| .431 
 
 77 
 
 563 
 
 750508 
 
 0586 
 
 0663 
 
 0740 
 
 0817 
 
 0894 
 
 0971 
 
 1048 
 
 11251 1202 
 
 77 
 
 564 
 
 1279 
 
 1356 
 
 1433 
 
 1510 
 
 1587 
 
 1664 
 
 1741 
 
 1818 
 
 1895J 1972 
 
 77 
 
 565 
 
 2048 
 
 2125 
 
 2202 
 
 2279 
 
 2356 
 
 2433 
 
 2509 
 
 2586 
 
 2663i 2740 
 
 77 
 
 566 
 
 2816 
 
 2893 
 
 2970 
 
 3047 
 
 3123 
 
 3200 
 
 3277 
 
 3353 
 
 3430] 3506 
 
 77 
 
 567 
 
 3583 
 
 3660 
 
 3736 
 
 3813 
 
 3889 
 
 3966 
 
 4042 
 
 4119 
 
 4195 
 
 4272! 77 
 
 568 
 
 4348 
 
 4425 
 
 4501 
 
 4578 
 
 4654 
 
 4730 
 
 4807 
 
 4883 
 
 4960 
 
 5036 
 
 76 
 
 569 
 
 5112 
 
 5189 
 
 5265 
 
 5341 
 
 5417 
 
 5494 
 
 5570 
 
 5646 
 
 5722 
 
 5799 
 
 76 
 
 570 
 
 755875 
 
 5951 
 
 6027 
 
 6103 
 
 6180 
 
 6256 
 
 6332 
 
 6408 
 
 6484 
 
 6560 
 
 76 
 
 571 
 
 6636 
 
 6712 
 
 6788 
 
 6864 
 
 6940 
 
 7016 
 
 7092 
 
 7168 
 
 7244 
 
 7320 
 
 76 
 
 572 
 
 7396 
 
 7472 
 
 7548 
 
 7624 
 
 7700 
 
 7775 
 
 7851 
 
 7927 
 
 8003 
 
 8079 
 
 76 
 
 573 
 
 8155 
 
 8230 
 
 8306 
 
 8382 
 
 8458 
 
 8533 
 
 8609 
 
 8685 
 
 8761 
 
 8836 
 
 76 
 
 574 
 
 8912 
 
 8988 
 
 9063 
 
 9139 
 
 9214 
 
 9290 
 
 9366 
 
 9441 
 
 9517 
 
 9592 
 
 76 
 
 575 
 
 9668 
 
 9743 
 
 9819 
 
 9894 
 
 9970 
 
 ..45 
 
 .121 
 
 .196 
 
 .272 
 
 .347 
 
 75 
 
 576 
 
 760422 
 
 0498 
 
 0573 
 
 0649 0724 
 
 0799 
 
 0875 
 
 0950 
 
 1025 
 
 1101 
 
 75 
 
 577 
 
 1176 
 
 1251 
 
 1326 
 
 1402| 147T 
 
 1552 
 
 1627 
 
 1702 
 
 1778J 1853 
 
 75 
 
 578 
 
 1928 
 
 2003 
 
 2078 
 
 2153! 2228 
 
 2303 
 
 2378 
 
 2453 
 
 2529 2604 
 
 75 
 
 579 
 
 2679 
 
 27541 2829 
 
 2904' js78l 3053' 3128 1 3203 
 
 3278 3353 
 
 75 
 
 N. 
 
 
 
 1 1 2 | 3 | 4 
 
 5 
 
 fi 1 7 
 
 8 9 D. 
 
A TABLE OF LOGARITHMS FROM 1 TO 10.000. 
 
 N. j | 1 f 2 | 3 j 4 5 | 6 | 7 
 
 8 
 
 9 | D. 
 
 580 
 
 763428 3503 
 
 3578 3652 
 
 3727 
 
 3802, 3877, 3952 
 
 4027 
 
 4101 
 
 75 
 
 581 
 
 4176 
 
 4251 
 
 4326 440C 
 
 4475 
 
 4550 4624| 4699 
 
 4774 
 
 484S 
 
 75 
 
 582 
 
 492 
 
 4998 
 
 5072 5147 
 
 5221 
 
 5296 
 
 5370 5445 
 
 5520 
 
 5594 
 
 75 
 
 583 
 
 566fj 
 
 5743 
 
 5818! 5892 
 
 5966 
 
 6041 
 
 6115 
 
 619( 
 
 6264 
 
 6338 
 
 74 
 
 584 
 
 6419 
 
 6487 
 
 6562 
 
 6636 
 
 6710! 678? 
 
 685S 
 
 6933 
 
 7007 
 
 7082 
 
 74 
 
 585 
 
 7166 
 
 7230 i 7304 
 
 7379 
 
 7453 
 
 7527| 7601 
 
 7675 
 
 7749 
 
 78231 74 
 
 586 
 
 7898 
 
 7972 
 
 8046 
 
 8120 8194 
 
 8268: 8342 
 
 8416 
 
 8490 
 
 85641 74 
 
 587 
 
 8638 
 
 8712 
 
 8786 
 
 8860 8934 
 
 9008 9082 
 
 9156 
 
 9230 
 
 930 
 
 74 
 
 588 
 
 9377 
 
 9451 
 
 9525 
 
 95991 9673 
 
 9746 9820 9894 
 
 9968 
 
 ..4 
 
 74 
 
 589 
 
 770115 
 
 0189 
 
 0263 
 
 0336 
 
 0410 
 
 0484 0557 0631 
 
 0705 
 
 077* 
 
 74 
 
 , 590 
 
 770852 
 
 0926 
 
 0999! 1073 
 
 1146 
 
 1220 1293 1367 
 
 1440 
 
 151- 
 
 74 
 
 591 
 
 1587 
 
 1661 
 
 1734 
 
 1808 
 
 1881 
 
 1955 2028 2102 
 
 2175 
 
 2248 
 
 73 
 
 592 
 
 2322 
 
 2395 
 
 2468 
 
 2542 
 
 2615 
 
 2688 ! 2762 2835 
 
 2908 
 
 298 
 
 73 
 
 593 
 
 3055 3128 
 
 3201 
 
 ,3274 
 
 3348 
 
 3421 3494 
 
 3567 
 
 3640 
 
 3713 
 
 73 
 
 594 
 
 3786 3860 
 
 3933 
 
 4006 
 
 4079 
 
 41521 4225 
 
 4298 
 
 4371 
 
 4444 
 
 73 
 
 595 
 
 4517 4590 
 
 4663 
 
 4736 
 
 4809 
 
 4882) 4955! 5028 
 
 5100 
 
 5173 
 
 73 
 
 596 
 
 5246 5319 
 
 5392 
 
 5465 
 
 5538 
 
 5610 56831 5756 
 
 5829 
 
 5902 
 
 73 
 
 597 
 
 5974 6047 
 
 6120 
 
 6193 
 
 6265 
 
 6338 6411 
 
 6483 
 
 6556 
 
 6629 
 
 73 
 
 598 
 
 670 1! 6774 
 
 6846 
 
 6919 
 
 6992 
 
 7064 
 
 7137 
 
 7209 
 
 7282 
 
 7354 
 
 73 
 
 599 
 
 7427 
 
 7499 
 
 7572 
 
 7644 
 
 7717 
 
 7789 
 
 7862 
 
 7934 
 
 8006 
 
 8079 
 
 72 
 
 600 
 
 778151 
 
 8224 
 
 8296 
 
 8368 
 
 8441 
 
 8513J 8585 
 
 8658 
 
 8730 
 
 8802 
 
 "72 
 
 601 
 
 8874 8947 
 
 9019 
 
 9091 
 
 9163 
 
 9236 
 
 9308 
 
 9380 
 
 9452 
 
 9524 
 
 72 
 
 602 
 
 9596 9669 
 
 9741 
 
 9813! 9885 
 
 9957 
 
 ..29 
 
 .101 
 
 .173 
 
 .245 
 
 72 
 
 603 
 
 780317 
 
 0389 
 
 0461 
 
 0533 
 
 0605 
 
 0677 
 
 0749 
 
 0821 
 
 0893 
 
 0965 
 
 72 
 
 604 
 
 1037 
 
 1109 
 
 1181 
 
 1253 
 
 1324 
 
 1396 
 
 1468 
 
 1540 
 
 1612 
 
 1684 
 
 72 
 
 605 
 
 1755 
 
 1827 
 
 1899 
 
 1971 
 
 2042 
 
 2114 
 
 2186 
 
 2258 
 
 2329 
 
 2401 
 
 72 
 
 606 
 
 2473 
 
 2544 
 
 2616 2688 
 
 2759 
 
 2831 
 
 2902 
 
 2974 
 
 3046 
 
 3117 
 
 72 
 
 607 
 
 3189 
 
 3260 
 
 3332J 3403 
 
 3475 
 
 3546 
 
 3618 
 
 3689 
 
 3761 
 
 3832 
 
 71 
 
 608 
 
 39041 3975 
 
 4046 
 
 4118 
 
 4189 
 
 4261 
 
 4332 
 
 4403 
 
 4475 
 
 4546 
 
 71 
 
 609 
 
 4617 4689 
 
 4760 
 
 4831 
 
 4902 
 
 4974 
 
 5045 
 
 5116 
 
 5187 
 
 5259 
 
 71 
 
 610 
 
 785330 5401 
 
 5472 
 
 5543 
 
 5615 
 
 5686 
 
 5757 
 
 5828 
 
 5899 
 
 5970 
 
 71 
 
 611 
 
 6041 6112 
 
 6183 
 
 6254 
 
 6325 
 
 6396 
 
 6467 
 
 6538 
 
 6609 
 
 6680 
 
 71 
 
 612 
 613 
 614 
 
 67511 6822 
 7460 7531 
 8168 8239 
 
 6893 
 7602 
 8310 
 
 6964 
 7673 
 
 8381 
 
 7035 
 
 7.744 
 8451 
 
 7106 
 7815 
 
 8522 
 
 7177 
 7885 
 8593 
 
 72481 7319 
 7956 S027 
 8663! 8734 
 
 7390 
 
 8098 
 8804 
 
 71 
 71 
 71 
 
 615 
 
 8875 
 
 8946 
 
 9016 
 
 9087 
 
 9157 
 
 9228 
 
 9299 
 
 9369 
 
 9440 
 
 9510 
 
 71 
 
 616 
 
 9581 
 
 9651 
 
 9722 
 
 9792 
 
 9863 
 
 9933 
 
 ...4 
 
 ..74 
 
 .144 
 
 .215 
 
 70 
 
 617 
 
 790285 
 
 0356 
 
 0426 
 
 0496 
 
 0567 
 
 0637 
 
 0707 
 
 0778 
 
 0848 
 
 0918 
 
 70 
 
 618 
 
 0988 
 
 1059 
 
 1129 
 
 1199 
 
 1269 1340 
 
 1410 
 
 1480 1550 
 
 1620 
 
 70 
 
 619 
 
 1691 
 
 1761 
 
 1831 
 
 1901 
 
 1971J 2041 
 
 2111 
 
 2181 
 
 2252 
 
 2322 
 
 70 
 
 620 
 
 792392 
 
 2462 
 
 2532 
 
 2602 
 
 2672 
 
 2742 
 
 2812 
 
 2882 
 
 2952 
 
 3022 
 
 70 
 
 621 
 
 3092 
 
 3162 
 
 3231 
 
 3301 
 
 3371 
 
 3441 
 
 3511 
 
 3581 
 
 3651 
 
 3721 
 
 70 
 
 622 
 
 3790 
 
 3860 
 
 3930 
 
 4000 
 
 4070 
 
 4139 
 
 4209 
 
 4279 
 
 4349 
 
 4418 
 
 70 
 
 623 
 
 4488 
 
 4558 
 
 4627 
 
 4697 
 
 4767 
 
 4836 
 
 4906 
 
 4976 
 
 5045 
 
 5115 
 
 70 
 
 624 
 
 5185 
 
 5254 
 
 5324 
 
 5393 
 
 5463 
 
 5532 
 
 5602 
 
 5672 
 
 5741 
 
 5811 
 
 70 
 
 625 
 
 5880 
 
 5940 
 
 6019 
 
 6088 
 
 6158 
 
 6227 
 
 6297 
 
 6366 
 
 6436 
 
 6505 
 
 69 
 
 626 
 
 6574 
 
 6644 
 
 6713 
 
 6782 
 
 6852 
 
 6921 
 
 6990 
 
 7060 
 
 7129 
 
 7198 
 
 69 
 
 627 
 
 7268 
 
 7337 
 
 7406 
 
 7475 
 
 7545 
 
 7614 
 
 7683 
 
 7752 
 
 7821 
 
 7890 
 
 69 
 
 628 
 
 7960i 8029 
 
 8098 
 
 8167 
 
 8236 
 
 8305 8374 
 
 8443 
 
 8513 
 
 8582 
 
 69 
 
 629 
 
 8651 
 
 8720 
 
 8789 
 
 8858 
 
 8927 
 
 8996 9065 
 
 9134 
 
 9203 
 
 9272 
 
 69 
 
 630 
 
 799341 
 
 9409 
 
 9478 
 
 9547 
 
 9616 
 
 9685 9754 
 
 9823 
 
 9892 
 
 9961 
 
 69 
 
 631 
 
 8000291 0098 
 
 0167 
 
 0236 
 
 0305 
 
 D373 
 
 0442 
 
 0511 
 
 0580 
 
 0648 
 
 69 
 
 632 
 
 0717J 0786 
 
 0854 
 
 0923 
 
 0992! 1061 
 
 1129 
 
 1198 
 
 1266 
 
 1335 
 
 69 
 
 633 
 
 1404 
 
 1472 1541 
 
 1609 
 
 1678 
 
 1747 
 
 1815 
 
 1884 
 
 1952 
 
 2021 
 
 69 
 
 634 
 
 2089 
 
 2158 
 
 2226 
 
 2295 
 
 2363 
 
 2432 
 
 2500 
 
 2568 
 
 2637 
 
 2705 
 
 69 
 
 635 
 
 2774 
 
 2842 
 
 2910 
 
 2979 
 
 3047: 3116 
 
 3184 
 
 3252 
 
 3321 
 
 3389 
 
 68 
 
 636 
 
 3457 
 
 3525 
 
 3594 
 
 3662 
 
 3730 i 3798 
 
 3867 
 
 3935 
 
 4003 
 
 4071 
 
 68 
 
 637 
 
 4139 
 
 4208 
 
 4276 
 
 4344 
 
 441 2 l 4480 4548 
 
 4616 
 
 4685 
 
 4753 
 
 68 
 
 638 
 
 4821 
 
 4889 
 
 4957 
 
 5025 
 
 5093: 5161 
 
 5229 
 
 52'J7 
 
 5365 
 
 5433 
 
 68 
 
 639 
 
 5501 
 
 5569 
 
 5637 
 
 5705 
 
 57731 5841 
 
 59081 59"6 
 
 6044 
 
 6112 
 
 68 
 
 N. | | i 
 
 2 I 3 I 4 
 
 5 
 
 6 7 
 
 8 | 9 |D. 
 
A TABLE OF LOGARITHMS FROM I TO 10,000. 
 
 11 
 
 N. h 9 | 1 | 2 | 3 
 
 4 
 
 567 
 
 8 | 9 1 D. 
 
 640 
 
 806180 
 
 6248 
 
 6316| 6384 
 
 6451 
 
 6519 
 
 6587] 6655 
 
 6723 
 
 6790 
 
 68 
 
 641 
 642 
 
 6858 
 7535 
 
 6926 
 7603 
 
 6994 7061 
 76701 7738 
 
 7129 
 7806 
 
 7197 
 7873 
 
 7264 7332 
 7941 8008 
 
 7400 
 8076 
 
 7407 
 8143 
 
 68 
 
 68 
 
 643 
 
 8211 
 
 8279 
 
 8346 
 
 8414 
 
 8481 
 
 8549 
 
 86161 8684 
 
 8751 
 
 8818 
 
 67 
 
 644 
 
 8886 
 
 8953 
 
 9021 
 
 9088 j 9 156 
 
 9223 
 
 9290 i 9358 
 
 9425 
 
 9492 
 
 67 
 
 645 
 
 9560 
 
 9627 
 
 9694 
 
 97621 9829 
 
 9896 
 
 9964! ..31 
 
 ..98 
 
 .165 
 
 67 
 
 646 
 
 810233 
 
 0300 
 
 0367 
 
 0434 
 
 0501 
 
 0569 0636 i 0703 
 
 0770 
 
 0837 
 
 67 
 
 647 
 
 0904 
 
 0971 
 
 1039 
 
 1106 
 
 1173 
 
 1240 1307) 1374 
 
 1441 
 
 1508 
 
 67 
 
 648 
 
 1575 
 
 1642 
 
 1709 
 
 1776 
 
 1843 
 
 19101 1977 2044 
 
 2111 
 
 2178 
 
 67 
 
 649 
 
 2245 
 
 2312 
 
 2379 
 
 2445 
 
 2512 
 
 2579 
 
 2646 2713 
 
 2780 
 
 2847 
 
 67 
 
 650 
 
 812913 
 
 2980 
 
 3047 
 
 3114 
 
 3181 
 
 3247 
 
 3314 3381 
 
 3448 
 
 3514 
 
 67 
 
 651 
 
 3581 
 
 3648 
 
 3714 
 
 3781 
 
 3S4S 
 
 39 14 i 398 114048 
 
 4114 
 
 4181 
 
 67 
 
 652 
 
 4248 
 
 4314 
 
 4381 
 
 4447 
 
 4514 
 
 4581 
 
 4647 
 
 4714 
 
 4780 
 
 4847 
 
 67 
 
 653 
 
 4913 
 
 4980 
 
 5046 
 
 5113 
 
 5179 
 
 5246 
 
 5312 
 
 5378 
 
 5445 
 
 5511 
 
 66 
 
 654 
 
 5578 
 
 5644 
 
 5711 
 
 5777 
 
 5843 
 
 5910 
 
 5976 
 
 6042 
 
 6109 
 
 6175 
 
 66 
 
 655 
 
 6241 
 
 6308 
 
 6374 
 
 6440 
 
 6506 
 
 6573 
 
 6639 
 
 6705 
 
 6771 
 
 6838 
 
 66 
 
 656 
 
 6904 
 
 6970 
 
 7036 
 
 7102 
 
 7169 
 
 7235 
 
 7301 
 
 7367 
 
 7433 
 
 7499 
 
 66 
 
 657 
 
 7565 
 
 7631 
 
 7698 
 
 7764 
 
 7830 
 
 7896 
 
 7962 
 
 8028 
 
 8094 
 
 8160 
 
 66 
 
 658 
 
 8226 
 
 8292 
 
 8358 
 
 8424 
 
 8490 
 
 8556 
 
 8622 
 
 8688 
 
 8754 
 
 8820 
 
 66 
 
 659 
 
 8885 
 
 8951 
 
 9017 
 
 9083 
 
 9149 
 
 9215 
 
 9281 
 
 9346 
 
 9412 
 
 9478 
 
 66 
 
 660 
 
 819544 
 
 9610 
 
 9676 
 
 9741 
 
 9807 
 
 9873 
 
 9939 
 
 ...4 
 
 ..70 
 
 ". 136 
 
 66 
 
 661 
 
 820201 
 
 0267 
 
 0333 
 
 0399 
 
 0464 
 
 0530 
 
 0595 
 
 0861 
 
 0727 
 
 0792 
 
 66 
 
 662 
 
 0858 
 
 0924 
 
 0989 
 
 1055 
 
 1120 
 
 1186 
 
 1251 
 
 1317 
 
 1382 
 
 1448 
 
 66 
 
 663 
 
 1514 
 
 1579 
 
 1645 
 
 1710 
 
 1775 
 
 1841 
 
 1906 
 
 1972 
 
 2037 
 
 2103 
 
 65 
 
 664 
 
 2168 
 
 2233 
 
 2299 
 
 2364 
 
 2430 
 
 2495 
 
 2560 
 
 2626 
 
 2691 
 
 2756 
 
 65 
 
 665 
 
 2822 
 
 2887 
 
 2952 
 
 3018 
 
 3083 3148 
 
 3213 
 
 3279 
 
 3344 
 
 3409 
 
 65 
 
 666 
 
 3474 
 
 3539 
 
 3605 
 
 3670 
 
 3-735! 3800 
 
 3865 
 
 3930 
 
 3996 
 
 4061 
 
 65 
 
 667 
 
 4126 
 
 4191 
 
 4256 
 
 4321 
 
 4386 
 
 4451 
 
 4516 
 
 4581 
 
 4646 
 
 4711 
 
 65 
 
 668 
 
 4776 
 
 4841 
 
 4906 
 
 4971 
 
 5036 
 
 5101 
 
 5166 
 
 523 I 
 
 5296 
 
 5361 
 
 65 
 
 669 
 
 5426 
 
 5491 
 
 5556 
 
 5621 
 
 5686 
 
 5751 
 
 5815 j 5880 
 
 5945 
 
 6010 
 
 65 
 
 670 
 
 826075 
 
 6140 
 
 6204 
 
 6269 6334 
 
 639!) 
 
 6464 
 
 6528 
 
 6593 
 
 6658 "65 
 
 671 
 r>72 
 
 6723 
 7369 
 
 6787 
 7434 
 
 6852 
 7499 
 
 6917 69811 7046 
 7563 7628 7692 
 
 7111 
 
 7757 
 
 7175 
 
 7821 
 
 7240 
 
 7886 
 
 7305 65 
 7951 65 
 
 673 
 
 8015 
 
 8080 
 
 8144 
 
 8209 
 
 8273 
 
 8338 
 
 8402 
 
 8467 8531 8595! 64 
 
 674 
 675 
 
 8660 
 9304 
 
 8724 
 9368 
 
 8789 
 9432 
 
 8853 
 9497 
 
 8918 8982 
 95611 9625 
 
 9046 
 9690 
 
 9H1J 9175 
 9754! 9818 
 
 9239 64 
 9882 64 
 
 676 
 
 9947 
 
 . .11 
 
 . .75 
 
 .139 
 
 .204) .268 
 
 .332 
 
 396! .460 
 
 .525 64 
 
 677 
 
 830589 
 
 0653 
 
 0717J 0781 
 
 0845 1 0909 
 
 09731 1037J 1102 
 
 1166 
 
 64 
 
 678 
 
 1230 
 
 1294 
 
 1358 
 
 1422 
 
 1486 1550 
 
 1614 
 
 1678 
 
 1742 
 
 1806 
 
 ' 64 
 
 679 
 
 1870 
 
 1934 
 
 1998 
 
 2062 
 
 2126 2189 
 
 2253 
 
 2317 
 
 2381 
 
 2445 
 
 64 
 
 680 
 
 832509 
 
 2573 
 
 2637 2700 1 2764 2828 
 
 2892 
 
 2956} 3020 
 
 3083! 64 
 
 681 
 
 3147 
 
 3211 
 
 3275 1 33381 34021 3466 
 
 3530 
 
 3593| 3657 
 
 3721 64 
 
 682 
 
 3784 
 
 3848 
 
 391213975 
 
 40391 4103 
 
 4166 
 
 4230! 4294 
 
 4357 64 
 
 683 
 
 4421 
 
 4484 
 
 4548 
 
 4611 
 
 4675 4739 
 
 4802 
 
 4866J 4929! 49<J3 64 
 
 684 
 
 5056 
 
 5120 
 
 5183 
 
 5247 
 
 5310 5373 
 
 5437 
 
 5500 5564 5627 63 
 
 685 
 
 5691 
 
 5754 
 
 5817 
 
 5881 
 
 5944! 6007 
 
 6071 
 
 0134 1 6197 6261 J 63 
 
 686 
 
 6324 
 
 6387 
 
 6451 
 
 6514 
 
 6577 6641 
 
 6704 
 
 67671 68301 6894: 63 
 
 687 
 
 6957 
 
 7020 
 
 7083 
 
 71461 7210 7273 
 
 7336 
 
 7399 7462' 7525: 63 
 
 688 
 
 7588 
 
 7652 
 
 7715 
 
 7778 7841 1 7904J 7967 
 
 8030^809318166! 63 
 
 689 
 
 8219 
 
 8282 
 
 8345 
 
 8408 8471 8534 | 8597 
 
 8660 
 
 8723 8786 63 
 
 690 
 
 838849 
 
 8912 
 
 8975 
 
 90381 9101 9164 9227 
 
 9289 
 
 9352'! 9415 ~63 
 
 691 
 
 9478 
 
 9541 
 
 9604 
 
 9667 
 
 9729 .9792 9855 
 
 9918i 998 li . .43 63 
 
 692 
 
 840106 
 
 0169 
 
 0232 
 
 0294 
 
 O357'i 0420 
 
 0482 
 
 0545 i 0608; 067 l! 03 
 
 693 
 
 0733 
 
 0796 0859 
 
 0921 
 
 09841 1046 
 
 1109 
 
 1172 1234! 1297J 63 
 
 694 
 
 1359 
 
 1422 
 
 1485 
 
 1547 
 
 1610 
 
 1672 
 
 1735 
 
 1797 1860| 1922 63 
 
 695 
 
 1 985 
 
 2047 
 
 2110 
 
 2172 
 
 2235 
 
 2297 
 
 2360 
 
 2422 24841 2547 62 
 
 6-96 
 
 2600 
 
 2672 
 
 2734 
 
 2796 
 
 2859 
 
 2921 
 
 2983 
 
 3046 3108 3170 62 
 
 697 
 
 3233 
 
 3295 3357 
 
 3420 
 
 3482 
 
 3544 
 
 3606 
 
 3669; 3751 
 
 3793 
 
 62 
 
 698 
 
 3855 
 
 3918 
 
 3980 
 
 4042 
 
 4104 
 
 4166 
 
 4229 
 
 429114353 
 
 4415 
 
 62 
 
 699 
 
 4477 
 
 4539 
 
 4601 
 
 4664)4726 
 
 4788 
 
 4850 
 
 4912 ! 4974! 5036- 62 
 
 N. 
 
 0|l|2]3 4 | 5 | 6 7 8|9 
 
 D. 
 
A TABLE OP LOGARITHMS FROM 1 TO 10,000 
 
 N. | | 1 | 2 
 
 3 I 4 
 
 5 
 
 6 | 7 | 8 | 9 
 
 D. 
 
 700 
 
 845098 
 
 5160. 5222 
 
 5284 
 
 5346 
 
 5408 
 
 5470 
 
 5532 
 
 5594 
 
 5656 
 
 62 
 
 701 
 
 5718 
 
 5780 
 
 5842 
 
 5904 
 
 5966 
 
 6028 
 
 6090 
 
 6151 
 
 6213 
 
 6275 
 
 62 
 
 702 
 
 6337 
 
 6399 
 
 6461 
 
 6523 
 
 6585 
 
 6646 
 
 6708 
 
 6770 
 
 6832 
 
 6894 
 
 62 
 
 703 
 
 6955 
 
 7017 
 
 7079 
 
 7141 
 
 7202 
 
 7264 
 
 7320 
 
 7388 
 
 7449 
 
 7511 
 
 62 
 
 704 
 
 7573 
 
 7634 
 
 7696 
 
 7758 
 
 7819 
 
 7881 
 
 7943 
 
 8004 
 
 8066 
 
 8128 
 
 62 
 
 705 
 
 8189 
 
 8251 
 
 8312 
 
 8374 
 
 8435 
 
 8497 
 
 8559 
 
 8620 
 
 8682 
 
 8743 
 
 62 
 
 706 
 
 8805 
 
 8866 
 
 8928 
 
 8989 
 
 9051 
 
 9112 
 
 9174 
 
 9235 
 
 9297 
 
 9358 
 
 61 
 
 707 
 
 9419 
 
 9481 
 
 9542 
 
 9604 
 
 9665 
 
 9726 
 
 9788 
 
 9849 
 
 9911 
 
 9972 
 
 61 
 
 708 
 
 850033 
 
 0095 
 
 0156 
 
 0217 
 
 0279 
 
 0340 
 
 0401 
 
 0462 
 
 0524 
 
 0585 
 
 61 
 
 709 
 
 0646 
 
 0707 
 
 0769 
 
 0830 
 
 0891 
 
 0952 
 
 1014 
 
 1075 
 
 1136 
 
 1197 
 
 61 
 
 710 
 
 851258 
 
 1320 
 
 1381 
 
 1442 
 
 1503 
 
 1564 
 
 1625 
 
 1686 
 
 1747 
 
 1809 
 
 61 
 
 711 
 
 1870 
 
 1931 
 
 1992 
 
 2053 
 
 2114 
 
 2175 
 
 2236 
 
 2297 
 
 2358 
 
 2419 
 
 61 
 
 712 
 
 2480 
 
 2541 
 
 2602 
 
 2663 
 
 2724 
 
 2785 
 
 2846 
 
 2907 
 
 2968 
 
 3029 
 
 61 
 
 713 
 
 3090 
 
 3150 
 
 3211 
 
 3272 
 
 3333 
 
 3394 
 
 3455 
 
 3516 
 
 3577 
 
 3637 
 
 61 
 
 714 
 
 3898 
 
 3759 
 
 3820 
 
 3881 
 
 3941 
 
 4002 
 
 4003 
 
 4124 
 
 4185 
 
 4245 
 
 61 
 
 715 
 
 4306 
 
 4367 
 
 4428 
 
 4488 
 
 4549 
 
 4610 
 
 4670 
 
 4731 
 
 4792 
 
 4852 
 
 61 
 
 716 
 
 4913 
 
 4974 
 
 5034 
 
 5095 
 
 5156 
 
 5216 
 
 5277 
 
 5337 
 
 5398 
 
 5459 
 
 61 
 
 717 
 
 5519 
 
 5580 
 
 5640 
 
 5701 
 
 5761 
 
 5822 
 
 5882 
 
 5943 
 
 6003 
 
 6064 
 
 61 
 
 718 
 
 6124 
 
 6185 
 
 6245 
 
 6306 
 
 6366 
 
 6427 
 
 6487 
 
 6548 
 
 6608 
 
 6668 
 
 60 
 
 719 
 
 6729 
 
 6789 
 
 6850 
 
 6910 
 
 6970 
 
 7031 
 
 7091 
 
 7152 
 
 7212 
 
 7272 
 
 60 
 
 720 
 
 857332 
 
 7393 
 
 7453 
 
 7513 
 
 7574 
 
 7634 
 
 7694 
 
 7755 
 
 7815 
 
 7875 
 
 60 
 
 721 
 
 7935 
 
 7995 
 
 8056 
 
 8116 
 
 8176 
 
 8236 
 
 8297 
 
 8357 
 
 8417 
 
 8477 
 
 60 
 
 722 
 
 . 8537 
 
 8597 
 
 8657 
 
 8718 
 
 8778 
 
 8833 
 
 8898 
 
 8958 
 
 9018 
 
 9078 
 
 60 
 
 723 
 
 9138 
 
 9198 
 
 9258 
 
 9318 
 
 9379 
 
 9439 
 
 9499 
 
 9559 
 
 9619 
 
 9679 
 
 60 
 
 724 ' 9739 
 
 9799 
 
 9859 
 
 9918 
 
 9978 
 
 ..38 
 
 ..98 
 
 .158 
 
 .218 
 
 .278 
 
 60 
 
 725 
 
 860338 
 
 0398 
 
 0458 
 
 0518 
 
 0578 
 
 0637 
 
 0697 
 
 0757 
 
 0817 
 
 0877 
 
 60 
 
 726 
 
 0937 
 
 0996 
 
 1056 
 
 1116 
 
 1176 
 
 me 
 
 1295 
 
 1355 
 
 1415 
 
 1475 
 
 60 
 
 727 
 
 1534 
 
 1594 
 
 1654 
 
 1714 
 
 1773 
 
 1 333 
 
 1893 
 
 1952 
 
 2012 
 
 2072 
 
 60 
 
 728 
 
 2131 
 
 2191 
 
 2251 
 
 2310 
 
 2370 
 
 2130 
 
 2439 
 
 2549 
 
 2608 
 
 2668 
 
 60 
 
 729 
 
 2728 
 
 2787 
 
 2847 
 
 2906 
 
 2966 
 
 3025 
 
 3085 
 
 3144 
 
 3204 
 
 3263 
 
 60 
 
 730 
 
 863323 
 
 3382 
 
 3442 
 
 3501 
 
 356 1 
 
 3620 
 
 3680 
 
 3739 
 
 3799 
 
 3858 
 
 59 
 
 731 
 
 3917 
 
 3977 4036 
 
 4096 
 
 4155 
 
 4214 
 
 4274 
 
 4333 
 
 4392 
 
 4452 
 
 59 
 
 732 
 
 4511 
 
 4570 4630 
 
 4680 
 
 4748 
 
 4803 
 
 4367 
 
 4926 
 
 4985 
 
 5045 
 
 59 
 
 733 
 
 5104 
 
 5163 
 
 5222 
 
 5282 
 
 5341 
 
 5400 
 
 5459 
 
 5519 
 
 5578 
 
 5637 
 
 59 
 
 734 
 
 5696 
 
 5755 
 
 5814 
 
 5374 
 
 5933 
 
 5992 
 
 6051 
 
 6110 
 
 6169 
 
 6228 
 
 59 
 
 735 
 
 6287 
 
 6346 
 
 6405 
 
 64G5 
 
 6524 
 
 6533 6642 
 
 6701 
 
 6760 
 
 6819 
 
 59 
 
 73 t> 
 
 6878 
 
 6937 
 
 6996 
 
 7055 
 
 7114 
 
 7173 
 
 7232 
 
 7291 
 
 7350 
 
 7409 
 
 59 
 
 737 
 
 7467 
 
 7526 
 
 7585 
 
 7644 
 
 7703 
 
 7762 
 
 7321 
 
 7880 
 
 7939 
 
 7998 
 
 59 
 
 738 
 
 8056 
 
 8115 
 
 8 i 74 
 
 8233 
 
 8292 
 
 8350 
 
 8409 
 
 8468 
 
 8527 
 
 8586 
 
 59 
 
 739 
 
 8644 
 
 8703 
 
 8762 
 
 8821 
 
 S879 
 
 8933 
 
 8997 
 
 9056 
 
 9114 
 
 9173 
 
 59 
 
 740 
 
 869232 
 
 9290 
 
 9349 
 
 9408 
 
 91f>(i 
 
 95*5 
 
 0584 
 
 9642 
 
 9701 
 
 9760 
 
 59 
 
 741 
 
 9818 
 
 9877 
 
 9935 
 
 9994 
 
 . . 53 
 
 .111 
 
 .170 
 
 .228 
 
 .287 
 
 .345 
 
 59 
 
 742 
 
 870404 
 
 0462 
 
 052 1 
 
 0579 
 
 063-3 
 
 0695 
 
 0755 
 
 0813 
 
 0872 
 
 0930 
 
 58 
 
 743 
 
 0989 
 
 1017 
 
 1106 
 
 1164 
 
 1223 
 
 1281 
 
 1339 
 
 1398 
 
 1456 
 
 1515 
 
 58 
 
 744 
 
 1573 
 
 1631 
 
 1690 
 
 1748 
 
 1806 
 
 1865 
 
 1923 
 
 1981 
 
 2040 
 
 2098 
 
 58 
 
 745 
 
 2156 
 
 2215 
 
 2273 
 
 233 1 
 
 2339 
 
 2443 
 
 2506 
 
 2564 
 
 2622 
 
 2681 
 
 58 
 
 746 
 
 2739 
 
 2797 
 
 285.) 
 
 2913 
 
 2972 
 
 3930 
 
 3088 
 
 3146 
 
 3204 
 
 3262 
 
 58 
 
 747 
 
 3321 
 
 3379 
 
 3437 
 
 3495 
 
 3553 
 
 3611 
 
 3669 
 
 3727 
 
 3785 
 
 3844 
 
 58 
 
 748 
 
 3902 
 
 3960 
 
 4018 
 
 4076 
 
 4134 
 
 4192 
 
 4250 
 
 4308 
 
 4366 
 
 4424 
 
 58 
 
 749 
 
 4482 
 
 4540 
 
 4598 
 
 4656 
 
 4714 
 
 4772 
 
 4830 
 
 4888 
 
 4945 
 
 5003 
 
 58 
 
 750 
 
 875061 
 
 5119 
 
 5177 
 
 5235 
 
 5293 
 
 535 1 
 
 5409 
 
 5466 
 
 5524 
 
 5582 
 
 58 
 
 75] 
 
 5640 
 
 5698 
 
 5756 
 
 5813 
 
 5371 
 
 5929 
 
 5987 
 
 6045 
 
 6102 
 
 6160 
 
 58 
 
 752 
 
 6218 
 
 6276 
 
 6333 
 
 6391 
 
 6449 
 
 6507 
 
 6564 
 
 6622 
 
 6680 
 
 6737 
 
 58 
 
 753 
 
 6795 
 
 6853 
 
 6910 
 
 6968 
 
 7026 
 
 7083 
 
 7141 
 
 7199 
 
 7256 
 
 7314 
 
 58 
 
 754 
 
 7371 
 
 7429 
 
 7487 
 
 7544 
 
 7602 
 
 7659 
 
 7717 
 
 7774 
 
 7832 
 
 7889 
 
 58 
 
 755 
 
 7947 
 
 8004 
 
 8062 
 
 8119 
 
 8177 
 
 8234 
 
 8292 
 
 8349 
 
 8407 
 
 8464 
 
 57 
 
 756 
 
 8522 
 
 8579 
 
 8637 
 
 8694 
 
 8752 
 
 8309 
 
 8866 
 
 8924 
 
 8981 
 
 9039 
 
 57 
 
 757 
 
 9096 
 
 9153 
 
 9211 
 
 9268 
 
 9325 
 
 9383 
 
 9440 
 
 9497 
 
 9555 
 
 9612 
 
 57 
 
 758. 
 
 9669 
 
 9726 
 
 9784 
 
 9841 
 
 9898 
 
 9956 
 
 ..13 
 
 ..70 
 
 .127 
 
 .185 
 
 57 
 
 759 
 
 880242 
 
 0299| 0356 
 
 0413 
 
 0471 
 
 0528 
 
 0585 
 
 0642 
 
 0699 
 
 0756 
 
 57 
 
 N. 
 
 | 1 2 1 3 | 4 
 
 5 
 
 6 | 7 | 8 | 9 { D. 
 
TABLF OF LOGARITHMS FROM 1 TO 10,000. 
 
 13 
 
 N. 
 
 1 
 
 2 | 3 
 
 4 I 5 | 6 | 7 | 8 
 
 9 | D. 
 
 760 
 
 880814 
 
 0871 
 
 0928 
 
 0985 1042 
 
 1099 
 
 1156 
 
 1213 
 
 1271 
 
 1328 
 
 57 
 
 761 
 
 1385 
 
 1442 
 
 1499 
 
 1556 
 
 1613 
 
 1670 
 
 1727 
 
 1784 
 
 1841 
 
 1898 
 
 57 
 
 762 
 
 1955 
 
 2012 
 
 2069 
 
 2126 
 
 2183 
 
 2240 
 
 2297 
 
 2354 
 
 2411 
 
 2468 
 
 57 
 
 763 
 
 2525 
 
 2581 
 
 2638 
 
 2695 
 
 2752 
 
 2809 
 
 2866 
 
 2923 
 
 2980 
 
 3037 
 
 57 
 
 764 
 
 3093 
 
 3150 
 
 3207 
 
 3264 
 
 3321 
 
 3377 
 
 3434 
 
 3491 
 
 3548 
 
 3605 
 
 57 
 
 765 
 
 3661 
 
 3718 
 
 3775 
 
 3832 
 
 3888 
 
 3945 
 
 4002 
 
 4059 
 
 4115 4172 
 
 57 
 
 766 
 
 4229 
 
 4285 
 
 4342 
 
 4399 
 
 4455 
 
 4512 
 
 4569 
 
 4625 
 
 4682 4739 
 
 57 
 
 767 
 
 4795 
 
 4852 
 
 4909 
 
 4965 
 
 5022 
 
 5078 
 
 5135 
 
 5192 
 
 5248 5305 
 
 57 
 
 768 
 
 5361 
 
 5418 
 
 5474 
 
 5531 
 
 5587 
 
 5644 
 
 5700 
 
 5757 
 
 58131 5870 
 
 57 
 
 769 
 
 5926 
 
 5983 
 
 6039 
 
 6096 
 
 6152 
 
 C209 
 
 6265 
 
 0321 
 
 6378 6434 
 
 56 
 
 770 
 
 886491 
 
 6547 
 
 6604 
 
 6660 
 
 6716 
 
 6773 
 
 6829 
 
 6885 
 
 6942 
 
 6998 
 
 56 
 
 771 
 
 7054 
 
 7111 
 
 7167 
 
 7223 
 
 7280 
 
 7336 
 
 7392 
 
 7449 
 
 7505 
 
 7561 
 
 56 
 
 772 
 
 7617 
 
 7674 
 
 7730 
 
 7786 
 
 7842 
 
 7898 
 
 7955 
 
 8011 
 
 8067 
 
 8123 
 
 56 
 
 773 
 
 8179 
 
 8236 
 
 8292 
 
 8348 
 
 8404 
 
 8460 
 
 8516 
 
 8573 
 
 8629 
 
 8685 
 
 56 
 
 774 
 
 8741 
 
 8797 
 
 8853 
 
 8909 
 
 8965 
 
 9021 
 
 9077 
 
 9134 
 
 9190 
 
 9246 
 
 56 
 
 775 
 
 9302 
 
 9358 
 
 9414 
 
 9470 
 
 9526 
 
 9582 
 
 9638 
 
 9694 
 
 9750 
 
 9806 
 
 56 
 
 776 
 
 9862 
 
 9918 
 
 9974 
 
 ..30 
 
 ..86 
 
 .141 
 
 .197 
 
 .253 
 
 .309 
 
 .365 
 
 56 
 
 777 
 
 890421 
 
 0477 
 
 0533 
 
 0589 
 
 0645 
 
 0700 
 
 0756 
 
 0812 
 
 0868 
 
 0924 
 
 56 
 
 T78 
 
 0980 
 
 1035 
 
 1091 
 
 1147 
 
 1203 
 
 1259 
 
 1314 
 
 1370 
 
 1426 
 
 1482 
 
 56 
 
 779 
 
 1537 
 
 1593 
 
 1649 
 
 1705 
 
 1760 
 
 1816 
 
 1872 
 
 1928 
 
 1983 
 
 2039 
 
 56 
 
 780 
 
 892095 
 
 2150 
 
 2206 
 
 2262 
 
 2317 
 
 2373 
 
 2429 
 
 2484 
 
 2540 
 
 2595 
 
 56 
 
 781 
 
 2651 
 
 2707 
 
 2762 
 
 281812873 
 
 2929 
 
 2985 
 
 3040 
 
 3096 
 
 3151 
 
 56 
 
 782 
 
 3207 
 
 3262 
 
 3318 
 
 3373 
 
 3429 
 
 3484 
 
 3540 
 
 3595 
 
 3651 
 
 3706 
 
 56 
 
 783 
 
 3762 
 
 3817 
 
 3873 
 
 3928 
 
 3984 
 
 4039 
 
 4094 
 
 4150 
 
 4205 
 
 4261 
 
 55 
 
 784 
 
 4316 
 
 4371 
 
 4427 
 
 4482 
 
 4538 
 
 4593 
 
 4648 
 
 4704 
 
 4759 
 
 4814 
 
 55 
 
 785 
 
 4870 
 
 4925 
 
 4980 
 
 5036 
 
 5091 
 
 5146 
 
 5201 
 
 5257 
 
 5312 
 
 5367 
 
 55 
 
 786 
 
 5423 
 
 5478 
 
 5533 
 
 5588 
 
 5644 
 
 5699 
 
 5754 
 
 5809 
 
 5864 
 
 5920 
 
 55 
 
 787 
 
 5975 
 
 6030 
 
 6085 
 
 6140 
 
 6195 
 
 6251 6306 
 
 6361 
 
 6416 
 
 6471 
 
 55 
 
 788 
 
 6526 
 
 6581 
 
 6636 
 
 6692 
 
 6747 
 
 6802 
 
 6857 
 
 6912 
 
 6967 
 
 7022 
 
 55 
 
 789 
 
 7077 
 
 7132 
 
 7187 
 
 7242 
 
 7297 
 
 7352 
 
 7407 
 
 7462 
 
 7517 
 
 7572 
 
 55 
 
 790 
 
 897627 
 
 7682 
 
 7737 
 
 7792 
 
 7847 
 
 7902 
 
 7957 
 
 8012 
 
 8067 
 
 8122 
 
 55 
 
 791 
 
 8176 
 
 8231 
 
 8286 
 
 8341 
 
 8396 
 
 8451 
 
 8506 
 
 8561 
 
 8615 
 
 8670 
 
 55 
 
 792 
 
 8725 
 
 8780 
 
 8835 
 
 8890 
 
 8944 
 
 8999 
 
 9054 
 
 9109 
 
 9164 
 
 9218 
 
 55 
 
 793 
 
 9273 
 
 9328 
 
 9383 
 
 9437 
 
 9492 
 
 9547 
 
 9602 
 
 9656 
 
 9711 
 
 9766 
 
 55 
 
 794 
 
 9821 
 
 9875 
 
 9930 
 
 9985 
 
 ..39 
 
 ..94 
 
 .149 
 
 .203 
 
 .258 
 
 .312 
 
 55 
 
 795 
 
 900367 
 
 0422 
 
 0476 
 
 0531 
 
 0586 
 
 0640 
 
 0695 
 
 0749 
 
 0804 
 
 0859 
 
 55 
 
 796 
 
 0913 
 
 0968 
 
 1022 
 
 1077 
 
 1131 
 
 1186 
 
 1240 
 
 1295 
 
 1349 
 
 1404 
 
 55 
 
 797 
 
 1458 
 
 1513 
 
 1567 
 
 1622 
 
 1676 
 
 1731 
 
 1785 
 
 1840 
 
 1894 
 
 1948 
 
 54 
 
 798 
 
 2003 
 
 2057 
 
 2112 
 
 2166 
 
 2221 
 
 2275 
 
 2329 
 
 2384 
 
 2438 
 
 2492 
 
 54 
 
 799 
 
 2547 
 
 2601 
 
 2655 
 
 2710 
 
 2764 
 
 2818 
 
 2873 
 
 2927 
 
 2981 
 
 3036 
 
 54 
 
 800 
 
 903090 
 
 3144 
 
 3199 
 
 3253 
 
 3307 
 
 3361 
 
 3416 
 
 3470 
 
 3524 
 
 3578 
 
 54 
 
 801 
 
 3633 
 
 3687 
 
 3741 
 
 3795 
 
 3849 
 
 3904 
 
 3958 
 
 4012 
 
 4066 
 
 4120 
 
 54 
 
 802 
 
 4174 
 
 4229 
 
 4283 
 
 4337 
 
 4391 
 
 4445 
 
 4499 
 
 4553 
 
 4607 
 
 4661 
 
 54 
 
 803 
 
 4716 
 
 4770 
 
 4824 
 
 4878 
 
 4932 
 
 4986 
 
 5040 
 
 5094 
 
 5148 
 
 5202 
 
 54 
 
 804 
 
 5256 
 
 5310 
 
 5364 
 
 5418 
 
 5472 
 
 5526 
 
 5580 
 
 5634 
 
 5688 
 
 5742 
 
 54 
 
 805 
 
 5796 
 
 5850 
 
 5904 
 
 5958 
 
 6012 
 
 6066 
 
 6119 
 
 6173 
 
 6227 
 
 6281 
 
 54 
 
 806 
 
 6335 
 
 6389 
 
 6443 
 
 6497 
 
 6551 
 
 6604 
 
 6658 
 
 6712 
 
 6766 
 
 6820 
 
 54 
 
 807 
 
 6874 
 
 6927 
 
 6981 
 
 7035 
 
 7089 
 
 7143 
 
 7196 
 
 7250 
 
 7304 
 
 7358 
 
 54 
 
 808 
 
 7411 
 
 7465 
 
 7519 
 
 7573 
 
 7626 
 
 7680 
 
 7734 
 
 7787 
 
 7841 
 
 7895 
 
 54 
 
 809 
 
 7949 
 
 8002 
 
 8056 
 
 8110 
 
 8163 
 
 8217 
 
 8270 
 
 8324 
 
 8378 
 
 8431 
 
 54 
 
 810 
 
 908485| 8539 
 
 8592 
 
 8646 
 
 8699 
 
 8753 
 
 8807 
 
 8860 
 
 8914 
 
 8967 
 
 54 
 
 811 
 
 9021 9074 
 
 9128 
 
 9181 
 
 9235 
 
 9289 
 
 9342 
 
 9396 
 
 9449 
 
 9503 
 
 54 
 
 812 
 
 9556 
 
 9610 
 
 9663 
 
 9716 
 
 9770 
 
 9823 
 
 9877 
 
 9930 
 
 9984 
 
 ..37 
 
 53 
 
 813 
 
 910091 
 
 0144 
 
 0197 
 
 0251 
 
 0304 
 
 0358 
 
 0411 
 
 0464 
 
 0518 
 
 0571 
 
 53 
 
 814 
 
 0624 
 
 0678 
 
 0731 
 
 0784 
 
 0838 
 
 0891 
 
 0944 
 
 0998 
 
 1051 
 
 1104 
 
 53 
 
 815 
 
 1158 
 
 1211 
 
 1264 
 
 1317 
 
 1371 
 
 1424 
 
 1477 
 
 1530 
 
 1584 
 
 1637 
 
 53 
 
 816 
 
 1690 
 
 1743 
 
 1797 
 
 1850 
 
 1903 
 
 1956 
 
 2009 
 
 2063 
 
 2116 
 
 2169 
 
 53 
 
 817 
 
 2222 
 
 2275 
 
 2328 
 
 2381 
 
 2435 
 
 2488 
 
 2541 
 
 2594 
 
 2647 
 
 2700 
 
 53 
 
 818 
 
 2753 2806 2859 
 
 2913 
 
 2966 
 
 3019 
 
 3072 
 
 3125 
 
 3178 
 
 3231 
 
 53 
 
 819 
 
 3284 13337 1 3390 
 
 3443 
 
 3496 
 
 3549 
 
 3602 
 
 3655 
 
 3708 
 
 3761 
 
 53 
 
 N. i 1 2|3i4|5l6l7|8|9 
 
 D. 
 
14 
 
 A TABLE OP LOGARITHMS FROM 1 TO 10,000 
 
 N. | 
 
 1 ! 2 | 3 | 4" 
 
 5 | 6 | 7 | 8 | 9 I D. 
 
 820 
 
 913814 3867 
 
 3920| 3973 
 
 4026 
 
 4079 
 
 4132 
 
 4184 
 
 4237 
 
 42901 53 
 
 821 
 
 4343 
 
 4396 
 
 4449 
 
 4502 
 
 4555 
 
 4608 
 
 4660 
 
 4713 
 
 4766 
 
 4819 
 
 53 
 
 822 
 
 4872 
 
 4925 
 
 4977 
 
 5030 
 
 5083 
 
 5136 
 
 5189 
 
 5241 
 
 5294 
 
 5347 
 
 53 
 
 823 
 
 5400 
 
 5453 
 
 5505 
 
 5558 
 
 5611 
 
 5664 
 
 5716 
 
 5769 
 
 5822 
 
 5875 
 
 53 
 
 824 
 
 5927 
 
 5980 
 
 6033 
 
 6085 
 
 6138 
 
 6191 
 
 6243 
 
 6296 
 
 6349 
 
 6401 
 
 53 
 
 825 
 
 6454 
 
 6507 
 
 6559 
 
 6612 
 
 6664 
 
 6717 
 
 6770 
 
 6822 
 
 6875 
 
 6927 
 
 53 
 
 826 
 
 6980 
 
 7033 
 
 7085 
 
 7138 
 
 7190 
 
 7243 
 
 7295 
 
 7348 
 
 7400 
 
 7453 
 
 53 
 
 827 
 
 7506 
 
 7558 
 
 7611 
 
 7663 
 
 7716 
 
 7768 
 
 7820 
 
 7873 
 
 7925 
 
 7978 
 
 52 
 
 828 
 
 8030 
 
 8083 
 
 8135 
 
 8188 
 
 8240 
 
 8293 
 
 8345 
 
 8397 
 
 8450 
 
 8502 
 
 52 
 
 829 
 
 8555 
 
 8607 
 
 8659 
 
 8712 
 
 8764 
 
 8816 
 
 8869 
 
 8921 
 
 8973 
 
 9026 
 
 52 
 
 830 
 
 919078 
 
 9130 
 
 9183 
 
 9235 
 
 9287 
 
 9340 
 
 9392 
 
 9444 
 
 9496 
 
 9549 
 
 52 
 
 831 
 
 9601 
 
 9653 
 
 9706 
 
 9758 
 
 9810 
 
 9862 
 
 9914 
 
 9967 
 
 ..19 
 
 .71 
 
 52 
 
 832 
 
 920123 
 
 0176 
 
 0228 
 
 0280 
 
 0332 
 
 0384 
 
 0436 
 
 0489 
 
 0541 
 
 0593 
 
 52 
 
 833 
 
 0645 
 
 0697 
 
 0749 
 
 0801 
 
 0853 
 
 0906 
 
 0958 
 
 1010 
 
 1062 
 
 1114 
 
 52 
 
 834 
 
 1166 
 
 1218 
 
 1270 
 
 1322 
 
 1374 
 
 1426 
 
 1478 
 
 1530 
 
 1582 
 
 1634 
 
 52 
 
 835 
 
 1686 
 
 1738 
 
 1790 
 
 1842 
 
 1894 
 
 1946 
 
 1998 
 
 2050 
 
 2102 
 
 2154 
 
 52 
 
 836 
 
 2206 
 
 2258 
 
 2310 
 
 2362 
 
 2414 
 
 2466 
 
 2518 
 
 2570 
 
 2622 
 
 2674 
 
 52 
 
 837 
 
 2725 
 
 2777 
 
 2829 
 
 2881 
 
 2933 
 
 2985 3037 
 
 3089 
 
 3140 
 
 3192 
 
 52 
 
 838 
 
 3244 
 
 3296 
 
 3348 
 
 3399 
 
 3451 
 
 3503 1 3555 
 
 3607 
 
 3658 
 
 3710 
 
 52 
 
 839 
 
 3762 
 
 3814 
 
 3865 
 
 3917 
 
 3969 
 
 4021 
 
 4072 
 
 4124 
 
 4176 
 
 4228 
 
 52 
 
 840 
 
 924279 
 
 4331 
 
 4383 
 
 4434 
 
 4486 
 
 4538 
 
 4589 
 
 4641 
 
 4693 
 
 4744 
 
 52 
 
 841 
 
 4796 
 
 4848 
 
 4899 
 
 4951 
 
 5003 
 
 5054 
 
 5106 
 
 5157 
 
 5209 
 
 5261 
 
 52 
 
 842 
 
 5312 
 
 5364 
 
 5415 
 
 5467 
 
 5518 
 
 5570 
 
 5621 
 
 5673 
 
 5725 
 
 5776 
 
 52 
 
 843 
 
 5828 
 
 5879 
 
 5931 
 
 5982 
 
 6034 
 
 6085 
 
 6137 
 
 6188 
 
 6240 
 
 6291 
 
 51 
 
 844 
 
 6342 
 
 6394 
 
 6445 
 
 6497 
 
 6548 
 
 6600 
 
 6651 
 
 6702 
 
 6754 
 
 6805 
 
 51 
 
 845 
 
 6857 
 
 6908 
 
 6959 
 
 7011 
 
 7062 
 
 7114 
 
 7165 
 
 7216 
 
 7268 
 
 7319 
 
 51 
 
 846 
 
 7370 
 
 7422 
 
 7473 
 
 7524 
 
 7576 
 
 76271 7678 
 
 7730 
 
 7781 
 
 7832 51 
 
 847 
 
 7883 
 
 7935 
 
 7986 
 
 8037 
 
 8088 
 
 8140! 8191 
 
 8242 
 
 8293 
 
 8345) 51 
 
 848 
 
 8396 
 
 8447 
 
 8498 
 
 8549 
 
 8601 
 
 8652 i 8703 
 
 8754 
 
 8805 
 
 8857 
 
 51 
 
 849 
 
 8908 
 
 8959 
 
 9010 
 
 90G1 
 
 9112 
 
 9163 
 
 9215 
 
 9266 
 
 9317 
 
 9368 
 
 51 
 
 850 
 
 929419 
 
 9470 
 
 9521 
 
 9572. 
 
 9623 9674 
 
 9725 
 
 9776 
 
 9827 
 
 9879 
 
 51 
 
 851 
 
 9930 
 
 9981 
 
 ..32 
 
 ..83 
 
 .134! .185| .236 
 
 .287 
 
 .338 
 
 .389 
 
 51 
 
 852 
 
 930440 
 
 0491 
 
 0542 
 
 0592 
 
 0643! 0694J 0745 
 
 07961 0847 
 
 0898 
 
 51 
 
 853 
 
 0949 
 
 1000 
 
 1051 
 
 1102 
 
 1153 
 
 1204 
 
 1254 
 
 1305 1356 
 
 1407 
 
 51 
 
 854 
 
 1458 
 
 1509 
 
 1560 
 
 1610 
 
 1661 
 
 1712 
 
 1763 
 
 1814 
 
 1865 
 
 1915 
 
 51 
 
 855 
 
 1966 
 
 2017 
 
 2068 
 
 2118 
 
 2169 
 
 2220 
 
 2271 
 
 2322 
 
 2372 
 
 2423 
 
 51 
 
 856 
 
 2474 
 
 2524 
 
 2575 
 
 2626 
 
 2677 
 
 27271 2778 
 
 2829 
 
 2879 
 
 2930 
 
 51 
 
 857 
 
 2981 
 
 3031 
 
 3082 
 
 3133 
 
 3183 
 
 3234! 3285 
 
 3335 
 
 3386 i 3437 
 
 51 
 
 858 
 
 3487 
 
 3538 
 
 3589 
 
 3639 
 
 3690 
 
 3740) 3791 
 
 3841 
 
 3892 
 
 3943 
 
 51 
 
 859 
 
 3993 
 
 4044 
 
 4094 
 
 4145 
 
 4195 
 
 4246 4296 
 
 4347 
 
 4397 
 
 4448 
 
 51 
 
 860 
 
 934498 
 
 4549 
 
 4599" 
 
 4650 
 
 4700 
 
 475 li 4801 
 
 4852 
 
 4902 
 
 4953 
 
 ~50 
 
 861 
 
 5003 
 
 5054 
 
 5104 
 
 5154 
 
 5205 
 
 5255 
 
 5306 
 
 5356 
 
 5406 
 
 5457 
 
 50 
 
 862 
 
 5507 
 
 5558 
 
 5608 
 
 5658 5709 
 
 5759 
 
 5809 
 
 5860 
 
 5910 
 
 5960 
 
 50 
 
 863 
 
 6011 
 
 6061 
 
 6111 
 
 6162 6212 
 
 6262| 6313 6363 
 
 6413 
 
 6463 
 
 50 
 
 864 
 
 6514 
 
 6564 
 
 6614 
 
 6665 
 
 6715 
 
 67651 6815 6865 
 
 6916 
 
 6966 
 
 50 
 
 865 
 
 7016 
 
 7066 
 
 7117 
 
 7167 
 
 7217 
 
 726 7 1 7317J 7367 
 
 7418 
 
 7468 
 
 50 
 
 866 
 
 7518 
 
 7568 
 
 7618 
 
 7668 
 
 7718 
 
 7769 
 
 7819 
 
 7869 
 
 7919 
 
 7969 
 
 50 
 
 867 
 
 8019 
 
 8069 
 
 8119 
 
 8169 
 
 8219 
 
 8269 8320 
 
 8370 
 
 8420 
 
 8470 
 
 50 
 
 868 
 
 8520 8570 
 
 8620 
 
 8670 
 
 8720 
 
 8770 8820 
 
 8870 
 
 8920 
 
 8970 
 
 50 
 
 869 
 
 9020 
 
 9070 
 
 9120 
 
 9170 
 
 9220 
 
 9270 9320 
 
 9369 
 
 9419 
 
 9469 
 
 50 
 
 870 
 
 939519 
 
 9569 
 
 9619 
 
 966 ( J 
 
 9719 
 
 9769 
 
 9819 
 
 9869 
 
 9918 
 
 9968 
 
 50 
 
 871 
 
 940018 
 
 0068 
 
 0118 
 
 0168 
 
 0218 
 
 0267 
 
 0317 
 
 0367 
 
 04J7 
 
 0467 
 
 50 
 
 872 
 
 0516 
 
 0566 
 
 0616 
 
 0666 
 
 0716 
 
 0765 0815 
 
 0865 
 
 0915 
 
 0964 
 
 50 
 
 873 
 
 1014 
 
 1064 
 
 1114 
 
 1163 
 
 1213 
 
 1263 1313 
 
 1362 
 
 1412 
 
 1462 
 
 50 
 
 874 
 
 1511 
 
 1561 
 
 1611 
 
 1660 
 
 1710 
 
 1760| 1809 
 
 1859 
 
 1909 
 
 1958 
 
 50 
 
 875 
 
 2008 
 
 2058 
 
 2107 
 
 2157 
 
 2207 
 
 22561 2306 
 
 2355 
 
 2405 
 
 2455 
 
 50 
 
 876 
 
 2504 
 
 2554 
 
 2603 
 
 2653 
 
 2702 
 
 2752 2801 
 
 2851 
 
 2901 
 
 2950 
 
 50 
 
 877 
 
 3000 
 
 3049 
 
 3099 
 
 3148 
 
 3198 
 
 3247 3297 
 
 3346 3396 
 
 3445 
 
 49 
 
 878 
 
 3495 
 
 3544 
 
 3593 
 
 3643 
 
 3692 
 
 3742 3791 
 
 3841 3890 
 
 3939 
 
 49 
 
 879 
 
 3989 
 
 4038 
 
 4088 
 
 4137 
 
 4186 
 
 4236 4285 1 43351 4384 
 
 4433 
 
 49 
 
 N. 1 | 1 
 
 2|3|4|5i6|7|8'9|D. 
 
A TABLE OF LOGARITHMS FROM J TO 10,000. 
 
 15 
 
 N. 1 | 1 | 2 3 | 4 5 | 6 | 7 | 8 | 9 1 D. 
 
 880 
 
 9444831 4532 
 
 4581 
 
 4631 
 
 4680] 4729 
 
 4779 
 
 4828 4877 
 
 4927 
 
 49 
 
 881 
 
 4976 5025 
 
 5074 
 
 5124 
 
 5173 
 
 5222 
 
 5272 
 
 5321 
 
 5370 
 
 5419 
 
 49 
 
 882 
 
 5469 
 
 5518 
 
 5567 
 
 5616 
 
 5665 
 
 5715 
 
 5764 
 
 5813 
 
 5862 
 
 5912 
 
 49 
 
 883 
 
 5961 
 
 6010 
 
 6059 
 
 6108 
 
 6157 
 
 6207 
 
 6256 
 
 6305 
 
 6354 
 
 6403 
 
 49 
 
 884 
 
 6452 
 
 6501 
 
 6551 
 
 6600 
 
 6649 
 
 6698 
 
 6747 
 
 6796 
 
 6845 
 
 6894 
 
 49 
 
 885 
 
 6943 
 
 6992 
 
 7041 
 
 7090 
 
 7140 
 
 7189 
 
 7238 
 
 7287 
 
 7336 
 
 7385 
 
 49 
 
 886 
 
 7434 
 
 7483 
 
 7532 
 
 7581 
 
 7630 
 
 7679 
 
 7728 
 
 7777 
 
 7826 
 
 7875 
 
 49 
 
 887 
 
 7924 
 
 7973 
 
 8022 
 
 8070 
 
 8119 
 
 8168 
 
 8217 
 
 8266 
 
 8315 
 
 8364 
 
 49 
 
 888 
 
 8413 
 
 8462 
 
 8511 
 
 8560 
 
 8609 
 
 8657 
 
 8706 
 
 8755 
 
 8804 
 
 8853 
 
 49 
 
 889 
 
 8902 
 
 8951 
 
 8999 
 
 9048 
 
 9097 
 
 9146 
 
 9195 
 
 9244 
 
 9292 
 
 9341 
 
 49 
 
 890 
 
 949390 
 
 9439 
 
 9488 
 
 9536 
 
 9585 
 
 9634 
 
 9683 
 
 9731 
 
 9780 
 
 9829 
 
 49 
 
 891 
 
 9878 
 
 9926 
 
 9975 
 
 ..24 
 
 ..73 
 
 .121 
 
 .170 
 
 .219 
 
 .267 
 
 .316 
 
 49 
 
 892 
 
 950365 
 
 0414 
 
 0462 
 
 0511 
 
 0560 
 
 0608 
 
 OG57 
 
 0706 
 
 0754 
 
 0803 
 
 49 
 
 893 
 
 0851 
 
 0900 
 
 0949 
 
 0997 
 
 1046 
 
 1095 
 
 1143 
 
 1192 
 
 1240 
 
 12*9 
 
 49 
 
 894 
 
 1338 
 
 1386 
 
 1435 
 
 1483 
 
 1532 
 
 1580 
 
 1629 
 
 1677 
 
 1726 
 
 1775 
 
 49 
 
 805 
 
 1823 
 
 1872 
 
 1920 
 
 1969 
 
 2017 
 
 2066 
 
 2114 
 
 2163 
 
 2211 
 
 2260 
 
 48 
 
 896 
 
 2308 
 
 2356 
 
 2405 
 
 2453 
 
 2502 
 
 2550 
 
 2599 
 
 2647 
 
 2696 
 
 2744 
 
 48 
 
 897 
 
 2792 
 
 2841 
 
 2889 
 
 2938 
 
 2986 
 
 3034 
 
 3083 
 
 3131 
 
 3180 
 
 3228 
 
 48 
 
 898 
 
 3276 
 
 3325 
 
 3373 
 
 3421 
 
 3470 
 
 3518 
 
 3566 
 
 3615 
 
 3663 
 
 3711 
 
 48 
 
 899 
 
 3760 
 
 3808 
 
 3856 
 
 3905 
 
 3953 
 
 4001 
 
 4049 
 
 4098 
 
 4146 
 
 4194 
 
 48 
 
 900 
 
 954243 
 
 4291 
 
 4339 
 
 4387 
 
 4435 
 
 4484 
 
 4532 
 
 4580 
 
 4628 
 
 4677 
 
 48 
 
 901 
 
 4725 
 
 4773 
 
 4821 
 
 4869 
 
 4918 
 
 4966 
 
 5014 
 
 5062 
 
 5110 
 
 5158 
 
 48 
 
 902 
 
 5207 
 
 5255 
 
 5303 
 
 5351 
 
 5399 
 
 5447 
 
 5495 
 
 5543 
 
 5592 
 
 5640 
 
 48 
 
 903 
 
 5688 
 
 5736 
 
 5784 
 
 5832 
 
 5880 
 
 5928 
 
 5976 
 
 6024 
 
 6072 
 
 6120 
 
 48 
 
 904 
 
 6168 
 
 6216 
 
 6265 
 
 6313 
 
 6361 
 
 6409 
 
 6457 
 
 6505 
 
 6553 
 
 6601 
 
 48 
 
 905 
 
 6649 
 
 6697 
 
 6745 
 
 6793 
 
 6840 
 
 6888 
 
 6936 
 
 6984 
 
 7032 
 
 7080 
 
 48 
 
 906 
 
 7128 
 
 7176 
 
 7224 
 
 7272 
 
 7320 
 
 7368 
 
 7416 
 
 7464 
 
 7512 
 
 7559 
 
 48 
 
 907 
 
 7607 
 
 7655 
 
 7703 
 
 7751 
 
 7799 
 
 7847 
 
 7894 
 
 7942 
 
 7990 
 
 8038 
 
 48 
 
 908 
 
 8086 
 
 8134 
 
 8181 
 
 8229 
 
 8277 
 
 8325 
 
 8373 
 
 8421 
 
 8468 
 
 8516 
 
 43 
 
 909 
 
 8564 
 
 8612 
 
 8659 
 
 8707 
 
 8755 
 
 8803 
 
 8850 
 
 8898 
 
 8946 
 
 8994 
 
 48 
 
 910 
 
 959041 
 
 9089 
 
 9137 
 
 9185 
 
 9232 
 
 9280 
 
 9328 
 
 9375 
 
 9423 
 
 9471 
 
 48 
 
 911 
 
 9518 
 
 9566 
 
 9614 
 
 9661 
 
 9709 
 
 9757 
 
 9804 
 
 9852 
 
 9900 
 
 9947 
 
 48 
 
 912 
 
 9995 
 
 ..42 
 
 ..90 
 
 .138 
 
 .185 
 
 .233 
 
 .280 
 
 .328 
 
 .376 
 
 .423 
 
 48 
 
 913 
 
 960471 
 
 0518 
 
 0566 
 
 0613 
 
 0661 
 
 0709 
 
 0756 
 
 0804 
 
 0851 
 
 0899 
 
 48 
 
 914 
 
 0946 
 
 0994 
 
 1041 
 
 1089 
 
 1136 
 
 1184 
 
 1231 
 
 1279 
 
 1326 
 
 1374 
 
 47 
 
 915 
 
 1421 
 
 1469 
 
 1516 
 
 1563 
 
 1611 
 
 1658 
 
 1706 
 
 1753 
 
 1801 
 
 1848 
 
 47 
 
 916 
 
 1895 
 
 1943 
 
 1990 
 
 2038 
 
 2085 
 
 2132 
 
 2180 
 
 2227 
 
 2275 
 
 2322 
 
 47 
 
 917 
 
 2369 
 
 2417 
 
 2464 
 
 2511 
 
 2559 
 
 2606 
 
 2653 
 
 2701 
 
 2748 
 
 2795 
 
 47 
 
 918 
 
 2843 
 
 2890 
 
 2937 
 
 2985 
 
 3032 
 
 3079 
 
 3126 
 
 3174 
 
 3221 
 
 3268 
 
 47 
 
 919 
 
 3316 
 
 3363 
 
 3410 
 
 3457 
 
 3504 
 
 3552 
 
 3599 
 
 3646 
 
 3693 
 
 3741 
 
 47 
 
 920 
 
 963788 
 
 3835 
 
 3882 
 
 3929 
 
 3977 
 
 4024 
 
 4071 
 
 4118 
 
 4165 
 
 4212 
 
 47 
 
 921 
 
 4260 
 
 4307 
 
 4354 
 
 4401 
 
 4448 
 
 4495 
 
 4542 
 
 4590 
 
 4637 
 
 4684 
 
 47 
 
 922 
 
 4731 
 
 4778 
 
 4825 
 
 4872 
 
 4919 
 
 4966 
 
 5013 
 
 5061 
 
 5108 
 
 5155 
 
 47 
 
 923 
 
 5202 
 
 5249 
 
 5296 
 
 5343 
 
 5390 
 
 5437 
 
 5484 
 
 5531 
 
 5578 
 
 5625 
 
 47 
 
 924 
 
 5672 
 
 5719 
 
 5766 
 
 5813 
 
 5860 
 
 5907 
 
 5954 
 
 6001 
 
 6048 
 
 6095 
 
 47 
 
 925 
 
 6142 
 
 6189 
 
 6236 
 
 6283 
 
 6329 
 
 6376 
 
 6423 
 
 6470 
 
 6517 
 
 6564 
 
 47 
 
 926 
 
 6611 
 
 6658 
 
 6705 
 
 6752 
 
 6799 
 
 6845 
 
 6892 
 
 6939 
 
 6986 
 
 7033 
 
 47 
 
 927 
 
 7080 
 
 7127 
 
 7173 
 
 7220 
 
 7267 
 
 7314 
 
 7361 
 
 7408 
 
 7454 
 
 7501 
 
 47 
 
 928 
 
 7548 
 
 7595 
 
 7642 
 
 7688 
 
 7735 
 
 7782 
 
 7829 
 
 7875 
 
 7922 
 
 7969 
 
 47 
 
 929 
 
 8016 
 
 8062 
 
 8109 
 
 8156 
 
 8203 
 
 8249 
 
 8296 
 
 8343 
 
 8390 
 
 8436 
 
 47 
 
 930 
 
 968483 
 
 8530 
 
 8576 
 
 8623 
 
 8670 
 
 8716 
 
 8763 
 
 8810 
 
 8856 
 
 8903 
 
 47 
 
 931 
 
 8950 
 
 8996 
 
 9043 
 
 9090 
 
 9136 
 
 9183 
 
 9229 
 
 9276 
 
 9323 
 
 9369 
 
 47 
 
 932 
 
 9416 
 
 9463 
 
 9509 
 
 9556 
 
 9602 
 
 9649 
 
 9695 
 
 9742 
 
 9789 
 
 9835 
 
 47 
 
 933 
 
 9882 
 
 9928 
 
 9975 
 
 ..21 
 
 ..68 
 
 .114 
 
 .161 
 
 .207 
 
 .254 
 
 .300 
 
 47 
 
 934 
 
 970347 
 
 0393 
 
 0440 
 
 0486 
 
 0533 
 
 0579 
 
 0626 
 
 0^72 
 
 0719 
 
 0765 
 
 46 
 
 935 
 
 0812 
 
 0858 
 
 0904 
 
 095 
 
 0997 
 
 1044 
 
 1090 
 
 1137 
 
 1183 
 
 122S 
 
 46 
 
 936 
 
 1276 
 
 1322 
 
 1369 
 
 1415 
 
 1461 
 
 1508 
 
 1554 
 
 1601 
 
 1647 
 
 1692 
 
 46 
 
 937 
 
 1740 
 
 1786 
 
 1832 
 
 187S 
 
 1925 
 
 197 
 
 2018 
 
 2064 
 
 2110 
 
 215 
 
 46 
 
 938 
 
 2203 
 
 2249 
 
 229S 
 
 2342 
 
 2388 
 
 243 
 
 2481 
 
 2527 
 
 2573 
 
 261 
 
 46 
 
 
 3666 
 
 2712 
 
 2758 
 
 280 
 
 2851 
 
 289 
 
 2943 
 
 298S 
 
 3035 
 
 308 46 
 
 N. | | 1 | 2 | 3 4 [ 5 | 6 | 7 
 
 8 | 9 I D. 
 
A TABLE OP LOGARITHMS FROM 1 TO 10,000. 
 
 N. 
 
 0|l 2 
 
 3 I 4 
 
 5 | 6 | 7 | 8 | 9 | D. 
 
 940 
 
 973128 
 
 31741 3220 
 
 3266 
 
 3313 
 
 3359 
 
 3405 
 
 3451 
 
 3497 
 
 3543 
 
 46 
 
 941 
 
 3590 
 
 3636 
 
 3632 
 
 3728 
 
 3774 
 
 3820 
 
 3866 
 
 3913 
 
 3959 
 
 4005 
 
 46 
 
 942 
 
 4051 
 
 4097 
 
 4143 
 
 4189 
 
 4235 
 
 4281 
 
 4327 
 
 4374 
 
 4420 
 
 4466 
 
 46 
 
 943 
 
 4512 
 
 4558 
 
 4604 
 
 4650 
 
 4696 
 
 4742 
 
 4788 
 
 4S34 
 
 4880 
 
 4926 
 
 46 
 
 944 
 
 4972 
 
 5018 
 
 5064 
 
 5110 
 
 5156 
 
 5202 
 
 5248 
 
 5294 
 
 5340 
 
 5386 
 
 46 
 
 945 
 
 5432 
 
 5478 
 
 5524 
 
 5570 
 
 5616 
 
 5662 
 
 5707 
 
 5753 
 
 5799 
 
 5845 
 
 46 
 
 946 
 
 5891 
 
 5937 
 
 5983 
 
 6029 
 
 6075 
 
 6121 
 
 6167 
 
 6212 
 
 6258 
 
 6304 
 
 46 
 
 947 
 
 6350 
 
 6396 
 
 6442 
 
 6488 
 
 6533 
 
 6579 
 
 6625 
 
 6671 
 
 6717 
 
 6763 
 
 46 
 
 948 
 
 6808 
 
 6854 
 
 6900 
 
 6946 
 
 6992 
 
 7037 
 
 7083 
 
 7129 
 
 7175 
 
 7220 
 
 46 
 
 949 
 
 7266 
 
 7312 
 
 7358 
 
 7403 
 
 7449 
 
 7495 
 
 7541 
 
 7586 
 
 7632 
 
 7678 
 
 46 
 
 950 
 
 977724 
 
 7769 
 
 7815 
 
 7861 
 
 7906 
 
 7952 
 
 7998 
 
 8043 
 
 8089 
 
 8135 
 
 46 
 
 951 
 
 8181 
 
 8226 
 
 8272 
 
 8317 
 
 8363 
 
 8409 
 
 8454 
 
 8500 
 
 8546 
 
 8591 
 
 46 
 
 952 
 
 8637 
 
 8683 
 
 8728 
 
 8774 
 
 8819 
 
 8865 
 
 8911 
 
 8956 
 
 9002 
 
 9047 
 
 46 
 
 953 
 
 9093 
 
 9138 
 
 9184 
 
 9230 
 
 9275 
 
 9321 
 
 9366 
 
 9412 
 
 9457 
 
 9503 
 
 46 
 
 954 
 
 9548 
 
 9594 
 
 9639 
 
 9685 
 
 9730 
 
 9776 
 
 9821 
 
 9867 
 
 9912 
 
 9958 
 
 46 
 
 955 
 
 980003 
 
 0049 
 
 0094 
 
 0140 
 
 0185 
 
 0231 
 
 0276 
 
 0322 
 
 0367 
 
 0412 
 
 45 
 
 956 
 
 0458 
 
 0503 
 
 0549 
 
 0594 
 
 0640 
 
 0685 
 
 0730 
 
 0776 
 
 0821 
 
 0867 
 
 45 
 
 957 
 
 0912 
 
 0957 
 
 1003 
 
 1048 
 
 1093 
 
 1139 
 
 1184 
 
 1229 
 
 1275 
 
 1320 
 
 45 
 
 958 
 
 1366 
 
 1411 
 
 1456 
 
 1501 
 
 1547 
 
 1592 
 
 1637 
 
 1683 
 
 1728 
 
 1773 
 
 45 
 
 959 
 
 1819 
 
 1864 
 
 1909 
 
 1954 
 
 2000 
 
 2045 
 
 2090 
 
 2135 
 
 2181 
 
 2226 
 
 45 
 
 960 
 
 982271 
 
 2316 
 
 2362 
 
 2407 
 
 2452 
 
 2497 
 
 2543 
 
 2588 
 
 2633 
 
 2678 
 
 45 
 
 961 
 
 2723 
 
 2769 
 
 2814 
 
 2859 
 
 2904 
 
 2949 
 
 2994 
 
 3040 
 
 3085 
 
 3130 
 
 45 
 
 962 
 
 3175 
 
 3220 
 
 3265 
 
 3310 
 
 3356 
 
 3401 
 
 3446 
 
 3491 
 
 3536 
 
 3581 
 
 45 
 
 963 
 
 3626 
 
 3671 
 
 3716 
 
 3762 
 
 3807 
 
 3852 
 
 3897 
 
 3942 
 
 3987 
 
 4032 
 
 45 
 
 964 
 
 4077 
 
 4122 
 
 4167 
 
 4212 
 
 4257 
 
 4302 
 
 4347 
 
 4392 
 
 4437 
 
 4482 
 
 45 
 
 965 
 
 4527 
 
 4572 
 
 4617 
 
 4662 
 
 4707 
 
 4752 
 
 4797 
 
 4-842 
 
 4887 
 
 4932 
 
 45 
 
 966 
 
 4977 
 
 5022 
 
 5067 
 
 5112 
 
 5157 
 
 5202 
 
 5247 
 
 5292 
 
 5337 
 
 5382 
 
 45 
 
 967 
 
 5426 
 
 5471 
 
 5516 
 
 5561 
 
 5606 
 
 5651 
 
 5696 
 
 5741 
 
 5786 
 
 5830 
 
 45 
 
 968 
 
 5875 
 
 5920 
 
 5965 
 
 6010 
 
 6055 
 
 6100 
 
 6144 
 
 6189 
 
 62341 6279 
 
 45 
 
 969 
 
 6324 
 
 6369 
 
 6413 
 
 6458 
 
 6503 
 
 6548 
 
 6593 
 
 6637 
 
 6682 
 
 6727 
 
 45 
 
 970 
 
 986772 
 
 6817 
 
 6861 
 
 6906 
 
 6951 
 
 6996 
 
 7040 
 
 7085 
 
 7130 
 
 7175 
 
 45 
 
 971 
 
 7219 
 
 7264 
 
 7309 
 
 7353 
 
 7398 
 
 7443 
 
 7488 
 
 7532 
 
 7577 
 
 7622 
 
 45 
 
 972 
 
 7666 
 
 7711 
 
 7756 
 
 7800 
 
 7845 
 
 7890 
 
 7934 
 
 7979 
 
 8024 
 
 8068. 
 
 45 
 
 973 
 
 8113 
 
 8157 
 
 8202 
 
 8247 
 
 8291 
 
 8336 
 
 8381 
 
 8425 
 
 8470 
 
 8514 
 
 45 
 
 974 
 
 8559 
 
 8604 
 
 8648 
 
 8693 
 
 8737 
 
 8782 
 
 8826 
 
 8871 
 
 8916 
 
 8960 
 
 45 
 
 975 
 
 9005 
 
 9049 
 
 9094 
 
 9138 
 
 9183 
 
 9227 
 
 9272 
 
 9316 
 
 9361 
 
 9405 
 
 45 
 
 976 
 
 9450 
 
 9494 
 
 9539 
 
 9583 
 
 9628 
 
 9672 
 
 9717 
 
 9761 
 
 9806 
 
 9850 
 
 44 
 
 977 
 
 9895 
 
 9939 
 
 9983 
 
 ..28 
 
 ..72 
 
 .117 
 
 .161 
 
 .206 
 
 .250 
 
 .294 
 
 44 
 
 978 
 
 990339 
 
 0383 
 
 0428 
 
 0472 
 
 0516 
 
 0561 
 
 0605 
 
 0650 
 
 0694 
 
 0738 
 
 44 
 
 979 
 
 0783 
 
 0827 
 
 0871 
 
 0916 
 
 0960 
 
 1004 
 
 1049 
 
 1093 
 
 1137 
 
 1182 
 
 44 
 
 980 
 
 991226 
 
 1270 
 
 1315 
 
 1359 
 
 1403 
 
 1448 
 
 1492 
 
 1536 
 
 1580 
 
 1625 
 
 44 
 
 981 
 
 1669 
 
 1713 
 
 1758 
 
 1802 
 
 1846 
 
 1890 
 
 1935 
 
 1979 
 
 2023 
 
 2067 
 
 44 
 
 982 
 
 2111 
 
 2156 
 
 2200 
 
 2244 
 
 2288 
 
 2333 
 
 2377 
 
 2421 
 
 2465 
 
 2509 
 
 44 
 
 983 
 
 2554 
 
 2598 
 
 2642 
 
 2686 
 
 2730 
 
 2774 
 
 2819 
 
 2863 
 
 2907 
 
 2951 
 
 44 
 
 984 
 
 2995 
 
 3039 
 
 3083 
 
 3127 
 
 3172 
 
 32.16 
 
 3260 
 
 3304 
 
 3348 
 
 3392 
 
 44 
 
 985 
 
 3436 
 
 3480 
 
 3524 
 
 3568 
 
 3613 
 
 3657 
 
 3701 
 
 3745 
 
 3789 
 
 3833 
 
 44 
 
 986 
 
 3877 
 
 3921 
 
 3965 
 
 4009 
 
 4053 
 
 4097 
 
 4141 
 
 4185 
 
 4229 
 
 4273 
 
 44 
 
 987 
 
 4317 
 
 4361 
 
 4405 
 
 4449 
 
 4493 
 
 4537 
 
 4581 
 
 4625 
 
 4669 
 
 4713 
 
 44 
 
 988 
 
 4757 
 
 4801 
 
 4845 
 
 4889 
 
 4933 
 
 4977 
 
 5021 
 
 5065 
 
 5108 
 
 5152 
 
 44 
 
 989 
 
 5196 
 
 5240 
 
 5284 
 
 5328 
 
 5372 
 
 5416 
 
 5460 
 
 5504 
 
 5547 
 
 5591 
 
 44 
 
 990 
 
 995635 
 
 5679 
 
 5723 
 
 5767 
 
 5811 
 
 5854 
 
 5898 
 
 5942 
 
 5986 
 
 6030 
 
 44 
 
 991 
 
 6074 
 
 6117 
 
 6161 
 
 6205 
 
 6249 
 
 6293 
 
 6337 
 
 6380 
 
 6424 
 
 6468 
 
 44 
 
 992 
 
 6512 
 
 6555 
 
 6599 
 
 6643 
 
 6687 
 
 6731 
 
 6774 
 
 6818 
 
 6862 
 
 6906 
 
 44 
 
 993 
 
 6949 
 
 6993 
 
 7037 
 
 7080 
 
 7124 
 
 7168 
 
 7212 
 
 7255 
 
 7299 
 
 7343 
 
 44 
 
 994 
 
 7386 
 
 7430 
 
 7474 
 
 7517 
 
 7561 
 
 7605 
 
 7648 
 
 7692 
 
 7736 
 
 7779 
 
 44 
 
 995 
 
 7823 
 
 7867 
 
 7910 
 
 7954 
 
 7998 
 
 8041 
 
 8085 
 
 8129 
 
 8172 
 
 8216 
 
 44 
 
 996 
 
 8259 
 
 8303 
 
 8347 
 
 8390 
 
 8434 
 
 8477 
 
 8521 
 
 8564 
 
 8608 
 
 8652 
 
 44 
 
 997 
 
 8695 
 
 8739 
 
 8782 
 
 8826 
 
 8869 
 
 8913 
 
 8956 
 
 9000 
 
 9043 
 
 9087 
 
 44 
 
 998 
 
 9131 
 
 9174 
 
 9218 
 
 9261 
 
 9305 
 
 9348 
 
 9392 
 
 9435 
 
 9479 
 
 9522 
 
 44 
 
 999 9565 
 
 9609 
 
 9652 
 
 9696 
 
 9739 
 
 9783 
 
 9826 
 
 9870 
 
 9913 
 
 9957 
 
 43 
 
 N. | 1 2 | 3 I 4 
 
 5 1 6 I 7 
 
 8 | 9 | D. 
 
SINES AND TANGENTS. 
 
 FOR EVERY 
 
 DEGREE AND MINUTE 
 
 OF THE QUADRANT. 
 
 N.B. The minutes in the left-hand column of each page, 
 increasing downwards, belong to the degrees at the top ; and 
 those increasing upwards, in the right-hand column, belong to 
 the degrees below. 
 
18 
 
 (0 Degree.) A TABLE OP LOGARITHMIC 
 
 M. | Sine D. | Cosine D. | Tang. D. | Cotang. 
 
 
 
 0.000000 
 
 
 10.000000 
 
 
 0.000000 
 
 
 Iniinite. 
 
 60 
 
 1 
 
 6.463726 
 
 501 717 
 
 000000 
 
 00 
 
 6.463726 
 
 501717 
 
 13.536274 
 
 59 
 
 2 
 
 764756 
 
 293485 
 
 000000 
 
 00 
 
 764756 
 
 293483 
 
 235244 
 
 58 
 
 3 
 
 940847 
 
 208231 
 
 000000 
 
 00 
 
 940847 
 
 208231 
 
 059153 
 
 57 
 
 4 
 
 7.065786 
 
 161517 
 
 000000 
 
 00 
 
 7.065786 
 
 161517 
 
 12.934214 
 
 56 
 
 5 
 
 162696 
 
 13J968 
 
 000000 
 
 00 
 
 162696 
 
 131969 
 
 837304 
 
 55 
 
 6 
 
 241877 
 
 111575 
 
 9.999999 
 
 01 
 
 241878 
 
 111578 
 
 758122 
 
 54 
 
 7 
 
 308824 
 
 96653 
 
 999999 
 
 01 
 
 308825 
 
 99653 
 
 691175 
 
 53 
 
 8 
 
 366816 
 
 85254 
 
 999999 
 
 01 
 
 366817 
 
 85254 
 
 633183 
 
 52 
 
 9 
 
 417968 
 
 76263 
 
 999999 
 
 01 
 
 417970 
 
 76263 
 
 582030 
 
 51 
 
 10 
 
 463725 
 
 68988 
 
 999998 
 
 01 
 
 463727 
 
 68988 
 
 536273 
 
 50 
 
 11 
 
 7.505118 
 
 62981 
 
 9.999998 
 
 01 
 
 7.505120 
 
 62981 
 
 12.494880 
 
 49 
 
 12 
 
 542906 
 
 57936 
 
 999997 
 
 01 
 
 542909 
 
 57933 
 
 457091 
 
 48 
 
 13 
 
 577668 
 
 53641 
 
 999997 
 
 01 
 
 577672 
 
 53642 
 
 422328 
 
 47 
 
 14 
 
 609853 
 
 49938 
 
 999996 
 
 01 
 
 609857 
 
 49939 
 
 390143 
 
 46 
 
 15 
 
 639816 
 
 46714 
 
 999996 
 
 01 
 
 639820 
 
 46715 
 
 360180 
 
 45 
 
 16 
 
 667845 
 
 43881 
 
 999995 
 
 01 
 
 667849 
 
 43882 
 
 332151 
 
 44 
 
 17 
 
 694173 
 
 41372 
 
 999995 
 
 01 
 
 694179 
 
 41373 
 
 305821 
 
 43 
 
 18 
 
 718997 
 
 39135 
 
 999994 
 
 01 
 
 719003 
 
 39136 
 
 280997 
 
 42 
 
 19 
 
 742477 
 
 37127 
 
 999993 
 
 01 
 
 742484 
 
 37128 
 
 257516 
 
 41 
 
 20 
 
 764754 
 
 35315 
 
 999993 
 
 01 
 
 764761 
 
 35136 
 
 235239 
 
 40 
 
 21 
 
 7 . 785943 
 
 33672 
 
 9.999992 
 
 01 
 
 7.785951 
 
 33673 
 
 12.214049 
 
 39 
 
 22 
 
 806146 
 
 32175 
 
 999991 
 
 01 
 
 806155 
 
 32176 
 
 193845 
 
 38 
 
 23 
 
 825451 
 
 30805 
 
 999990 
 
 01 
 
 825460 
 
 30806 
 
 174540 
 
 37 
 
 24 
 
 843934 
 
 29547 
 
 999989 
 
 0-2 
 
 843944 
 
 29549 
 
 156056 
 
 36 
 
 25 
 
 861662 
 
 28388! 999988 
 
 02 
 
 861674 
 
 28390 
 
 138326 
 
 35 
 
 26 
 
 878695 
 
 27317 999988 
 
 0-2 
 
 878708 
 
 27318 
 
 121292 
 
 34 
 
 27 
 
 895085 
 
 26323 999987 
 
 02 
 
 895099 
 
 26325 
 
 104901 
 
 33 
 
 28 
 
 910879 
 
 25399! 999986 
 
 0-2 
 
 910894 
 
 25401 
 
 089106 
 
 32 
 
 29 
 
 926119 
 
 24538! 999985 
 
 02 
 
 926134 
 
 24^40 
 
 073866 
 
 31 
 
 30 
 
 940S42 
 
 23733 j 999983 
 
 02 
 
 940858 
 
 23735 
 
 059142 
 
 30 
 
 31 
 
 7.955082 
 
 22980 
 
 9.999982 
 
 02 
 
 7.955100 
 
 22981 
 
 12.044900 
 
 29 
 
 32 
 
 968870 
 
 22273 
 
 999981 
 
 02 
 
 968889 
 
 22275 
 
 031111 
 
 28 
 
 33 
 
 982233 
 
 21608 
 
 999980 
 
 02 
 
 982253 
 
 21610 
 
 01774-7 
 
 27 
 
 84 
 
 995198 
 
 20981 
 
 999979 
 
 02 
 
 995219 
 
 20983 
 
 004781 
 
 26 
 
 35 
 
 8.007787 
 
 20390 
 
 999977 
 
 02 
 
 8.007809 
 
 20392 
 
 11.992191 
 
 25 
 
 36 
 
 02002 1 
 
 19831 
 
 999976 
 
 02 
 
 020045 
 
 19-33 
 
 979955 
 
 24 
 
 37 
 
 031919 
 
 19302 
 
 999975 
 
 02 
 
 031945 
 
 19305 
 
 968055 
 
 23 
 
 38 
 
 043501 
 
 188011 999973 
 
 02 
 
 043527 
 
 18803 
 
 956473 
 
 22 
 
 39 
 
 Or.478 i 
 
 183251 999972 
 
 0-2 
 
 054801 
 
 18327 
 
 945191 
 
 21 
 
 40 
 
 OG5776 
 
 17872| 999971 
 
 02 
 
 065806 
 
 17874 
 
 934194 
 
 20 
 
 41 
 
 8.076500 
 
 17441! 9.9-99969 
 
 02 
 
 8.076531 
 
 17444 
 
 11.923469 
 
 19 
 
 42 
 
 086955 
 
 17031! 999968 
 
 02 
 
 086997 
 
 17034 
 
 913003 
 
 18 
 
 43 
 
 097183 
 
 16639! 999966 
 
 02 
 
 097217 
 
 16642 
 
 902783 
 
 17 
 
 44 
 
 107167 
 
 16265! 999964 03 
 
 107202 
 
 16268 
 
 892797 
 
 16 
 
 45 
 
 116926 
 
 15908 999963 
 
 03 
 
 110963 
 
 15910 
 
 883037 
 
 15 
 
 46 
 
 .126471 
 
 15566 
 
 999961 
 
 03 
 
 126510 
 
 15568 
 
 873490 
 
 14 
 
 47 
 
 135810 
 
 1523S 
 
 999959 
 
 03 
 
 135851 
 
 15241 
 
 864149 
 
 13 
 
 48 
 
 141953 
 
 14924 
 
 999958 
 
 03 
 
 144996 
 
 14927 
 
 855004 
 
 12 
 
 49 
 
 153907 
 
 14622 
 
 999956 
 
 03 
 
 153952 
 
 14627 
 
 846048 
 
 11 
 
 a; 
 
 162681 
 
 14333 
 
 999954 
 
 03 
 
 162727 
 
 14336 
 
 837273 
 
 10 
 
 51 
 
 8.171280 
 
 14054 
 
 9.999952 
 
 03! 8.171328 
 
 14057 
 
 11.828672 
 
 9 
 
 52 
 
 179713 
 
 13786 
 
 999950 
 
 03 
 
 179763 
 
 13790 
 
 820237 
 
 8 
 
 53 
 
 187985 
 
 13529 
 
 999948 
 
 03 
 
 188036 
 
 13532 
 
 811964 
 
 7 
 
 54 
 
 196102 
 
 13280 
 
 999946 
 
 03 
 
 196156 
 
 13284 
 
 803844 
 
 6 
 
 55 
 
 204070 
 
 13041 
 
 999944 
 
 3 
 
 204128 
 
 13044 
 
 795874 
 
 5 
 
 56 
 
 211895 
 
 12810 
 
 999942 
 
 4 
 
 211953 
 
 12814 
 
 788047 
 
 4 
 
 57 
 
 219581 
 
 12587 
 
 999940 
 
 04 
 
 219641 
 
 12590 
 
 780359 
 
 3 
 
 58 
 
 227134 
 
 12372 
 
 999938 
 
 04 
 
 227195 
 
 12376 
 
 772805 
 
 2 
 
 59 
 
 234557 
 
 12164 
 
 999936 
 
 04 
 
 234621 
 
 12168 
 
 765379 
 
 1 
 
 60 
 
 241855 
 
 11763 
 
 999934 
 
 04 
 
 241921 
 
 11967 
 
 758079 
 
 
 
 
 Cosine | 
 
 Sine | | Cotang. 
 
 | Tang. 
 
 M. 
 
 89 Degrees. 
 
SINES AND TANGENTS. 
 
 M. 
 
 Sine | D. | Cosine | D. 
 
 Tang. D. Cotang. 
 
 
 
 
 8.241855 
 
 11963 
 
 9.999934 
 
 04 
 
 8.241921 
 
 11967 
 
 11.758079 
 
 60 
 
 1 
 
 249033 
 
 11768 
 
 999932 
 
 04 
 
 249102 
 
 11772 
 
 750898 
 
 59 
 
 2 
 
 256094 
 
 11580 
 
 999929 
 
 04 
 
 256165 
 
 11584 
 
 743835 
 
 58 
 
 3 
 
 263042 
 
 11398 
 
 999927 
 
 04 
 
 263115 
 
 11402 
 
 736885 
 
 57 
 
 4 
 
 269881 
 
 11221 
 
 999925 
 
 04 
 
 269956 
 
 11225 
 
 730044 
 
 56 
 
 5 
 
 276614 
 
 11050 
 
 999922 
 
 04 
 
 276691 
 
 11054 
 
 723309 
 
 55 
 
 6 
 
 283243 
 
 10883 
 
 999920 
 
 04 
 
 283323 
 
 10887 
 
 716677 
 
 54 
 
 7 
 
 289773 
 
 10721 
 
 999918 
 
 04 
 
 289856 
 
 10726 
 
 710144 
 
 53 
 
 8 
 
 296207 
 
 10585 
 
 999915 
 
 04 
 
 296292 
 
 10570 
 
 703708 
 
 52 
 
 9 
 
 302546 
 
 10413 
 
 999913 
 
 04 
 
 302634 
 
 10418 
 
 697366 
 
 51 
 
 10 
 
 308794 
 
 10266 
 
 999910 
 
 04 
 
 308884 
 
 10270 
 
 691116 
 
 50 
 
 11 
 
 8.314954 
 
 10122 
 
 9.999907 
 
 04 
 
 8.315046 
 
 10126 
 
 11.684954 
 
 49 
 
 12 
 
 321027 
 
 9982 
 
 999905 
 
 04 
 
 321122 
 
 9987 
 
 678878 
 
 48 
 
 13 
 
 327016 
 
 9847 
 
 999902 
 
 04 
 
 327114 
 
 9851 
 
 672886 
 
 47 
 
 14 
 
 332924 
 
 9714 
 
 999899 
 
 05 
 
 333025 
 
 9719 
 
 666975 
 
 46 
 
 15 
 
 338753 
 
 9586 
 
 999897 
 
 05 
 
 338956 9590 
 
 661144 
 
 45 
 
 16 
 
 344504 
 
 9460 
 
 999894 
 
 05 
 
 344610 9465 
 
 655390 
 
 44 
 
 17 
 
 350181 
 
 9338 
 
 999891 
 
 05 
 
 350289 
 
 9343 
 
 649711 
 
 43 
 
 18 
 
 355783 
 
 9219 
 
 999888 
 
 05 
 
 355895 
 
 9224 
 
 644105 
 
 42 
 
 19 
 
 361315 
 
 9103 
 
 999885 
 
 05 
 
 361430 
 
 9108 
 
 638570 
 
 41 
 
 20 
 
 366777 
 
 8990 
 
 999882 
 
 05 
 
 366895 
 
 8995 
 
 633105 
 
 40 
 
 21 
 
 8.372171 
 
 8880 
 
 9.999879 
 
 05 
 
 8.372292 
 
 8885 
 
 11.627708 
 
 39 
 
 22 
 
 377499 
 
 8772 
 
 999876 
 
 05 
 
 377622 
 
 8777 
 
 622378 
 
 38 
 
 23 
 
 382762 
 
 8667 
 
 999873 
 
 05 
 
 382889 
 
 8672 
 
 617111 
 
 37 
 
 24 
 
 387962 
 
 8564 
 
 999870 
 
 05 
 
 388092 
 
 8570 
 
 611908 
 
 36 
 
 25 
 
 393101 
 
 8464 
 
 999S67 
 
 05 
 
 393234 
 
 8470 
 
 606766 
 
 35 
 
 26 
 
 398179 
 
 8366 
 
 999864 
 
 05 
 
 398315 
 
 8371 
 
 601685 
 
 34 
 
 27 
 
 403199 
 
 8271 
 
 999861 
 
 05 
 
 403338 
 
 8276 
 
 596662 
 
 33 
 
 28 
 
 408161 
 
 8177 
 
 999858 
 
 05 
 
 408304 
 
 8182 
 
 591696 
 
 32 
 
 29 
 
 413068 
 
 8086 
 
 999854 
 
 05 
 
 413213 
 
 8091 
 
 586787 
 
 31 
 
 30 
 
 417919 
 
 7996 
 
 999851 
 
 00 
 
 418068 
 
 8002 
 
 581932 
 
 30 
 
 31 
 
 8.422717 
 
 7909 
 
 9.999848 
 
 06 
 
 8.422869 
 
 7914 
 
 11.577131 
 
 29 
 
 32 
 
 427462 
 
 7823 
 
 999844 
 
 OfJ 
 
 427618 
 
 7830 
 
 572382 
 
 28 
 
 33 
 
 432156 
 
 7740 
 
 999841 
 
 06 
 
 432315 
 
 7745 
 
 567685 
 
 27 
 
 34 
 
 436800 
 
 7657 
 
 999838 
 
 00 
 
 436962 
 
 7663 
 
 563038 
 
 26 
 
 35 
 
 441394 
 
 7577 
 
 999834 
 
 06 
 
 441560 
 
 7583 
 
 558440 
 
 25 
 
 36 
 
 445941 
 
 7499 
 
 999831 
 
 06 
 
 446110 
 
 7505 
 
 553890 
 
 24 
 
 37 
 
 450440 
 
 7422 
 
 999827 
 
 06 
 
 450613 
 
 7428 
 
 549387 
 
 23 
 
 38 
 
 454893 
 
 7346 
 
 999823 
 
 06 
 
 455070 
 
 7352 
 
 544930 
 
 22 
 
 39 
 
 459301 
 
 7273 
 
 99982C 
 
 <>f> 
 
 459481 
 
 7279 
 
 540519 
 
 21 
 
 40 
 
 463665 
 
 7200 
 
 999816 
 
 Of5 
 
 463849 
 
 7206 
 
 536151 
 
 20 
 
 41 
 
 8.467985 
 
 7129 
 
 9.999812 
 
 or, 
 
 8.468172 
 
 7135 
 
 11.531828 
 
 19 
 
 42 
 
 472263 
 
 7060 
 
 999809 
 
 06 
 
 472454 
 
 7066 
 
 527546 
 
 18 
 
 43 
 
 476498 
 
 6991 
 
 999805 
 
 06 
 
 476693J 6998 
 
 523307 
 
 17 
 
 44 
 
 480693 
 
 6924 
 
 99980 J 
 
 06 
 
 480892 6931 
 
 519108 
 
 16 
 
 45 
 
 484848 
 
 6859 
 
 999797 
 
 07 
 
 4S5050 6865 
 
 514950 
 
 15 
 
 46 
 
 488963 
 
 6794 
 
 999793 
 
 07 
 
 489170 '6801 
 
 510830 
 
 14 
 
 47 
 
 493040 
 
 6731 
 
 999790 
 
 07 
 
 493250 6738 
 
 506750 
 
 13 
 
 48 
 
 497078 
 
 6669 
 
 999788 
 
 07 
 
 497293 
 
 6676 
 
 502707 
 
 12 
 
 49 
 
 501080 
 
 6608 
 
 999782 
 
 07 
 
 501298 
 
 6615 
 
 498702 
 
 11 
 
 50 
 
 505045 
 
 6548 
 
 999778 
 
 07 
 
 505267 
 
 6555 
 
 494733 
 
 10 
 
 51 
 
 8.508974 
 
 6489 
 
 9.999774 
 
 07 
 
 8.509200 
 
 6496 
 
 11.490800 
 
 
 
 52 
 
 512867 
 
 6431 
 
 999769 
 
 07 
 
 513098 
 
 6439 
 
 486902 
 
 8 
 
 53 
 
 516726 
 
 6375 
 
 999765 
 
 07 
 
 516961 
 
 6382 
 
 483039 
 
 "3 
 
 54 
 
 520551 
 
 6319 
 
 999761 
 
 07 
 
 5207PU 
 
 6326 
 
 479210 
 
 6 
 
 55 
 
 52434? 
 
 6264 
 
 999757 
 
 07 
 
 5245k 5 
 
 6272 
 
 475414 
 
 5 
 
 56 
 
 528102 
 
 6211 
 
 999753 
 
 07 
 
 528349 
 
 6218 
 
 471651 
 
 4 
 
 57 
 
 531828 
 
 6158 
 
 999748 
 
 07 
 
 532080 
 
 6165 
 
 467920 
 
 3 
 
 58 
 
 535523 
 
 6106 
 
 999744 
 
 07 
 
 535779 
 
 6113 
 
 464221 
 
 2 
 
 59 
 
 53918fj 
 
 6055 
 
 999740 
 
 07 
 
 639447 
 
 6062 
 
 460553 
 
 1 
 
 60 
 
 542819 
 
 6004 1 999735 07l 543084 
 
 6012 
 
 456910 
 
 
 
 
 Cosine 1 
 
 Sine | 
 
 Cotang. | 
 
 Tang |AJ. 
 
 c& Degrees 
 
so 
 
 (2 Degrees. ) A TABLE OF LOGARITHMIC 
 
 M.| Sine | D. 
 
 Cosine \ D. | Tang. D. 
 
 Cotang. | 
 
 
 
 8.542819 
 
 6004 
 
 9.999735 
 
 07 
 
 8.543084 
 
 6012 
 
 11.456916 
 
 60 
 
 1 
 
 546422 
 
 5955 
 
 999731 
 
 07 
 
 546691 
 
 5962 
 
 453309 
 
 59 
 
 2 
 
 549995 
 
 5906 
 
 999726 
 
 07 
 
 550268 
 
 5914 
 
 449732 
 
 58 
 
 3 
 
 553539 
 
 5858 
 
 999722 
 
 08 
 
 553817 
 
 5866 
 
 446183 
 
 57 
 
 4 
 
 557054 
 
 5811 
 
 999717 
 
 08 
 
 557336 
 
 5819 
 
 442664 
 
 56 
 
 6 
 
 560540 
 
 5765 
 
 999713 
 
 08 
 
 560828 
 
 5773 
 
 439172 
 
 55 
 
 6 
 
 563999 
 
 5719 
 
 999708 
 
 08 
 
 564291 
 
 5727 
 
 435709 
 
 54 
 
 7 
 
 567431 
 
 5674 
 
 999704 
 
 08 
 
 567727 
 
 5682 
 
 432273 
 
 53 
 
 8 
 
 570836 
 
 5630 
 
 999699 
 
 08 
 
 571137 
 
 5638 
 
 428863 
 
 52 
 
 9 
 
 574214 
 
 5587 
 
 999694 
 
 08 
 
 574520 
 
 5595 
 
 425480 
 
 51 
 
 10 
 
 577566 
 
 5544 
 
 999689 
 
 08 
 
 577877 
 
 5552 
 
 422123 
 
 50 
 
 11 
 
 8.580892 
 
 5502 
 
 9.999685 
 
 08 
 
 8.581208 
 
 5510 
 
 11.418792 
 
 49 
 
 12 
 
 584193 
 
 5460 
 
 999680 
 
 08 
 
 584514 
 
 5468 
 
 415486 
 
 48 
 
 13 
 
 587469 
 
 5419 
 
 999675 
 
 08 
 
 587795 
 
 5427 
 
 412205 
 
 47 
 
 14 
 
 590721 
 
 5379 
 
 999670 
 
 08 
 
 591051 
 
 5387 
 
 408949 
 
 46 
 
 15 
 
 593948 
 
 5339 
 
 999665 
 
 08 
 
 594283 
 
 5347 
 
 405717 
 
 45 
 
 16 
 
 597152 
 
 5300 
 
 999660 
 
 08 
 
 597492 
 
 5308 
 
 402508 
 
 44 
 
 17 
 
 600332 
 
 5261 
 
 999655 
 
 08 
 
 600677 
 
 5270 
 
 399323 
 
 43 
 
 18 
 
 603489 
 
 5223 
 
 999650 
 
 08 
 
 603839 
 
 5232 
 
 396161 
 
 42 
 
 19 
 
 606623 
 
 5186 
 
 999645 
 
 09 
 
 606978 
 
 5194 
 
 393022 
 
 41 
 
 20 
 
 609734 
 
 5149 
 
 999640 
 
 09 
 
 610094 
 
 5158 
 
 389906 
 
 40 
 
 21 
 
 8.612823 
 
 5112 
 
 9.999635 
 
 09 
 
 8.613189 
 
 5121 
 
 11.386811 
 
 39 
 
 22 
 
 615891 
 
 5076 
 
 999629 
 
 09 
 
 616262 
 
 5085 
 
 383738 
 
 38 
 
 23 
 
 618937 
 
 5041 
 
 999624 
 
 09 
 
 619313 
 
 5050 
 
 380687 
 
 37 
 
 24 
 
 621962 
 
 5006 
 
 999619 
 
 09 
 
 622343 
 
 5015 
 
 377657 
 
 36 
 
 25 
 
 624965 
 
 4972 
 
 999614 
 
 09 
 
 625352 
 
 4981 
 
 374648 
 
 35 
 
 26 
 
 627948 
 
 4938 
 
 999608 
 
 09 
 
 628340 
 
 4947 
 
 371660 
 
 34 
 
 27 
 
 630911 
 
 4904 
 
 999603 
 
 09 
 
 631308 
 
 4913 
 
 368692 
 
 33 
 
 28 
 
 633854 
 
 4871 
 
 999597 
 
 09 
 
 634256 
 
 4880 
 
 365744 
 
 32 
 
 29 
 
 636776 
 
 4839 
 
 999592 
 
 09 
 
 637184 
 
 4848 
 
 362816 
 
 31 
 
 30 
 
 639680 
 
 4806 
 
 999586 
 
 09 
 
 640093 
 
 4816 
 
 359907 
 
 30 
 
 31 
 
 8.642563 
 
 4775 
 
 9.999581 
 
 09 
 
 8.642982 
 
 4784 
 
 11.357018 
 
 29 
 
 32 
 
 645428 
 
 4743 
 
 999575 
 
 09 
 
 645853 
 
 4753 
 
 354147 
 
 28 
 
 33 
 
 648274 
 
 4712 
 
 999570 
 
 09 
 
 648704 
 
 4722 
 
 351296 
 
 27 
 
 34 
 
 651102 
 
 4682 
 
 999564 
 
 09 
 
 651537 
 
 4691 
 
 348463 
 
 26 
 
 35 
 
 653911 
 
 4652 
 
 999558 
 
 10 
 
 654352 
 
 4661 
 
 345648 
 
 25 
 
 36 
 
 656702 
 
 4622 
 
 999553 
 
 10 
 
 657149 
 
 4631 
 
 342851 
 
 24 
 
 37 
 
 659475 
 
 4592 
 
 999547 
 
 10 
 
 659928 
 
 4602 
 
 340072 
 
 23 
 
 38 
 
 662230 
 
 4563 
 
 999541 
 
 10 
 
 662689 
 
 4573 
 
 337311 
 
 22 
 
 39 
 
 664968 
 
 4535 
 
 999535 
 
 10 
 
 665433 
 
 4544 
 
 334567 
 
 21 
 
 40 
 
 667689 
 
 4506 
 
 999529 
 
 10 
 
 668160 
 
 4526 
 
 331840 
 
 20 
 
 41 
 
 8.670393 
 
 4479 
 
 9.999524 
 
 10 
 
 8.670870 
 
 4488 
 
 11.329130 
 
 19 
 
 42 
 
 673080 
 
 4451 
 
 999518 
 
 10 
 
 673563 
 
 4461 
 
 326437 
 
 18 
 
 43 
 
 675751 
 
 4424 
 
 999512 
 
 10 
 
 676239 
 
 4434 
 
 323761 
 
 17 
 
 44 
 
 678405 
 
 4397 
 
 999506 
 
 10 
 
 678900 
 
 4417 
 
 321100 
 
 16 
 
 45 
 
 681043 
 
 4370 
 
 999500 
 
 10 
 
 681544 
 
 4380 
 
 318456 
 
 15 
 
 46 
 
 683665 
 
 4344 
 
 999493 
 
 10 
 
 684172 
 
 4354 
 
 315828 
 
 14 
 
 47 
 
 686272 
 
 4318 
 
 999487 
 
 10 
 
 686784 
 
 4328 
 
 313216 
 
 13 
 
 48 
 
 688863 
 
 4292 
 
 999481 
 
 10 
 
 689381 
 
 4303 
 
 310619 
 
 12 
 
 49 
 
 691438 
 
 4267 
 
 999475 
 
 10 
 
 691963 
 
 4277 
 
 308037 
 
 11 
 
 50 
 
 693998 
 
 4242 
 
 999469 
 
 10 
 
 694529 
 
 4252 
 
 305471 
 
 10 
 
 51 
 
 8.696543 
 
 4217 
 
 9.999463 
 
 11 
 
 8.697081 
 
 4228 
 
 11.302919 
 
 9 
 
 52 
 
 699073 
 
 4192 
 
 999456 
 
 11 
 
 699617 
 
 4203 
 
 300383 
 
 8 
 
 53 
 
 701589 
 
 4168 
 
 999450 
 
 11 
 
 702139 
 
 4179 
 
 297861 
 
 7 
 
 54 
 
 704090 
 
 4144 
 
 999443 
 
 11 
 
 704646 
 
 4155 
 
 295354 
 
 6 
 
 55 
 
 706577 
 
 4121 
 
 999437 
 
 11 
 
 707140 
 
 4132 
 
 292860 
 
 5 
 
 56 
 
 709049 
 
 4097 
 
 999431 
 
 11 
 
 709618 
 
 4108 
 
 290382 
 
 4 
 
 57 
 
 711507 
 
 4074 
 
 999424 
 
 11 
 
 712083 
 
 4085 
 
 287917 
 
 3 
 
 58 
 
 713952 
 
 4051 
 
 999418 
 
 11 
 
 714534 
 
 4062 
 
 285465 
 
 2 
 
 59 
 
 716383 
 
 4029 
 
 999411 
 
 11 
 
 716972 
 
 4040 
 
 283028 
 
 1 
 
 60 
 
 718800 
 
 4006 
 
 999404 
 
 11 
 
 719396 
 
 4017 
 
 280604 
 
 
 
 
 Cosine 1 Sine 
 
 Cotanc. 
 
 
 Tang. |M. 
 
 87 Degree*. 
 
SINES AND TANGENTS. (3 Degrees.) 
 
 21 
 
 M. | Sine j D. 
 
 Cosine D. Tan?. D. | Cotanir. | 
 
 
 
 8.718800 
 
 4006 
 
 9 . 999404 
 
 11 
 
 8.719396) 4017 
 
 11.280604 
 
 60 
 
 1 
 
 721204 
 
 3984 
 
 999398 
 
 11 
 
 721806 3995 
 
 278194 
 
 59 
 
 2 
 
 723595 
 
 3962 
 
 999391 
 
 11 
 
 724204 
 
 3974 
 
 275796 
 
 58 
 
 3 
 
 725972 
 
 3941 
 
 999384 
 
 11 
 
 726588 
 
 3952 
 
 273412 
 
 57 
 
 4 
 
 728337 
 
 3919 
 
 999378 
 
 11 
 
 728959 
 
 3930 
 
 271041 
 
 56 
 
 5 
 
 730688 
 
 3898 
 
 999371 
 
 11 
 
 731317 
 
 3909 
 
 268683 
 
 55 
 
 6 
 
 733027 
 
 3877 
 
 999364 
 
 12 
 
 733663 
 
 3889 
 
 266337 
 
 54 
 
 7 
 
 735354 
 
 3857 
 
 999357 
 
 12 
 
 735996 
 
 3868 
 
 264004 
 
 53 
 
 8 
 
 737607 
 
 3836 
 
 999350 
 
 12 
 
 738317 
 
 3848 
 
 261683 
 
 52 
 
 9 
 
 739969 
 
 3816 
 
 999343 
 
 12 
 
 740626 
 
 3827 
 
 259374 
 
 51 
 
 10 
 
 742259 
 
 3796 
 
 999336 
 
 12 
 
 742922 
 
 3807 
 
 257078 
 
 50 
 
 11 
 
 8.744536 
 
 3776 
 
 9.999329 
 
 12 
 
 8.745207 
 
 3787 
 
 11.254793 
 
 49 
 
 12 
 
 746802 
 
 3756 
 
 999322 
 
 12 
 
 747479 
 
 3768 
 
 252521 
 
 48 
 
 13 
 
 749055 
 
 3737 
 
 999315 
 
 12 
 
 749740 
 
 3749 
 
 250260 
 
 47 
 
 14 
 
 751297 
 
 3717 
 
 999308 
 
 12 
 
 751989 
 
 3729 
 
 248011 
 
 46 
 
 15 
 
 753528 
 
 3698 
 
 999301 
 
 12 
 
 754227 
 
 3710 
 
 245773 
 
 45 
 
 16 
 
 755747 
 
 3679 
 
 999294 
 
 12 
 
 756453 
 
 3692 
 
 243547 
 
 44 
 
 17 
 
 757955 
 
 3661 
 
 999286 
 
 12 
 
 758668 
 
 3673 
 
 241332 
 
 43 
 
 18 
 
 760151 
 
 3642 
 
 999279 
 
 12 
 
 760872 
 
 3655 
 
 239128 
 
 42 
 
 19 
 
 762337 
 
 3624 
 
 999272 
 
 12 
 
 763065 
 
 3636 
 
 236935 
 
 41 
 
 20 
 
 764511 
 
 3606 
 
 999265 
 
 12 
 
 765246 
 
 3618 
 
 234754 
 
 40 
 
 21 
 
 8.766675 
 
 3588 
 
 9.999257 
 
 12 
 
 8.767417 
 
 3600 
 
 11.232583 
 
 39 
 
 22 
 
 768828 
 
 3570 
 
 999250 
 
 13 
 
 769578 
 
 3583 
 
 230422 
 
 38 
 
 23 
 
 770970 
 
 3553 
 
 999242 
 
 13 
 
 771727 
 
 3565 
 
 228273 
 
 37 
 
 24 
 
 773101 
 
 3535 
 
 999235 
 
 13 
 
 773866 
 
 3548 
 
 226134 
 
 36 
 
 25 
 
 775223 
 
 3518 
 
 999227 
 
 13 
 
 775995 
 
 3531 
 
 224005 
 
 35 
 
 26 
 
 777333 
 
 3501 
 
 999220 
 
 13 
 
 778114 
 
 3514 
 
 221886 
 
 34 
 
 27 
 
 779434 
 
 3484 
 
 999212 
 
 13 
 
 780222 
 
 3497 
 
 219778 
 
 33 
 
 28 
 
 781524 
 
 3467 
 
 999205 
 
 13 
 
 782320 
 
 3480 
 
 217680 
 
 32 
 
 29 
 
 783605 
 
 3451 
 
 999197 
 
 13 
 
 784408 
 
 3464 
 
 215592 
 
 31 
 
 30 
 
 785675 
 
 3431 
 
 999189 
 
 13 
 
 786486 
 
 3447 
 
 213514 
 
 30 
 
 31 
 
 8.787736 
 
 3418 
 
 9.999181 
 
 13 
 
 8 . 788554 
 
 3431 
 
 11.211446 
 
 29 
 
 32 
 
 789787 
 
 3402 
 
 999174 
 
 13 
 
 790613 
 
 3414 
 
 209387 
 
 28 
 
 33 
 
 791828 
 
 3386 
 
 999166 
 
 13 
 
 792662 
 
 3399 
 
 207338 
 
 27 
 
 34 
 
 793859 
 
 3370 
 
 999158 
 
 13 
 
 794701 
 
 3383 
 
 205299 
 
 26 
 
 35 
 
 795881 
 
 3354 
 
 999150 
 
 13 
 
 796731 
 
 3368 
 
 203269 
 
 25 
 
 36 
 
 797894 
 
 3339 
 
 999142 
 
 13 
 
 798752 
 
 3352 
 
 201248 
 
 24 
 
 37 
 
 799897 
 
 3323 
 
 999134 
 
 13 
 
 800763 
 
 3337 
 
 199237 
 
 23 
 
 38 
 
 801892 
 
 3308 
 
 999126 
 
 13 
 
 802765 
 
 3322 
 
 197235 
 
 22 
 
 39 
 
 803876 
 
 3293 
 
 999118 
 
 13 
 
 804758 
 
 3307 
 
 195242 
 
 21 
 
 40 
 
 805852 
 
 3278 
 
 999110 
 
 13 
 
 806742 
 
 3292 
 
 193258 
 
 20 
 
 41 
 
 8.807819 
 
 3263 
 
 9.999102 
 
 13 
 
 8.808717 
 
 3278 
 
 11.191283 
 
 19 
 
 42 
 
 809777 
 
 3249 
 
 999094 
 
 14 
 
 810683 
 
 3262 
 
 189317 
 
 18 
 
 43 
 
 811726 
 
 3234 
 
 999086 
 
 14 
 
 81^2641 
 
 3248 
 
 187359 
 
 17 
 
 44 
 
 813667 
 
 3219 
 
 999077 
 
 14 
 
 814589 
 
 3233 
 
 185411 
 
 16 
 
 45 
 
 815599 
 
 3205 
 
 999069 
 
 14 
 
 816529 
 
 3219 
 
 183471 
 
 15 
 
 46 
 
 817522 
 
 3191 
 
 999061 
 
 14 
 
 818461 
 
 3205 
 
 181539 
 
 14 
 
 47 
 
 819436 
 
 3177 
 
 999053 
 
 14 
 
 820384 
 
 3191 
 
 179616 
 
 13 
 
 48 
 
 821343 
 
 3163 
 
 999044 
 
 14 
 
 822298 
 
 3177 
 
 177702 
 
 12 
 
 49 
 
 823240 
 
 3149 
 
 999036 
 
 14 
 
 824205 
 
 3163 
 
 175795 
 
 11 
 
 50 
 
 825130 
 
 3135 
 
 999027 
 
 14 
 
 826103 
 
 3150 
 
 173897 
 
 10 
 
 51 
 
 8.827011 
 
 3122 
 
 9.999019 
 
 14 
 
 8.827992 
 
 3136 
 
 11.172008 
 
 9 
 
 52 
 
 828884 
 
 3108 
 
 999010 
 
 14 
 
 829874 
 
 3123 
 
 170126 
 
 8 
 
 53 
 
 830749 
 
 3095 
 
 999002 
 
 14 
 
 831748 
 
 3110 
 
 168252 
 
 7 
 
 54 
 
 832607 
 
 3082 
 
 998993 
 
 14 
 
 833613 
 
 3096 
 
 166387 
 
 6 
 
 55 
 
 834456 
 
 3069 
 
 998984 
 
 14 
 
 835471 
 
 3083 
 
 164529 
 
 5 
 
 56 
 
 836297 
 
 3056 
 
 998976 
 
 14 
 
 837321 
 
 3070 
 
 162679 
 
 4 
 
 57 
 
 838130 
 
 3043 
 
 998967 
 
 15 
 
 839163 
 
 3057 
 
 160837 
 
 3 
 
 58 
 
 839956 
 
 3030 
 
 998958 
 
 15 
 
 840998 
 
 3045 
 
 159002 
 
 2 
 
 59 
 
 841774 
 
 3017 
 
 998950 
 
 15 
 
 842825 
 
 3032 
 
 157175 
 
 1 
 
 60 
 
 843585 
 
 3000 
 
 998941 
 
 15 
 
 844644 
 
 3019 
 
 155356 
 
 
 
 Cosine 
 
 
 Sine j Cotang. Tang. | M. 
 
 86 Degrees. 
 
(4 Degrees.) A TABLE or LOGARITHMIC 
 
 M. Sine | D. Cosine D. Tang. D. | Cotang. | 
 
 
 
 8.843585 
 
 3005 
 
 9.998941 
 
 Jb 
 
 8 . 844644 
 
 3019 
 
 11.155356 
 
 60 
 
 1 
 
 845387 
 
 2992 
 
 998932 
 
 15 
 
 846455 
 
 3007 
 
 153545 
 
 59 
 
 2 
 
 847183 
 
 2980 
 
 998923 
 
 15 
 
 848260 
 
 2995 
 
 151740 
 
 58 
 
 3 
 
 848971 
 
 2P67 
 
 998914 
 
 15 
 
 850057 
 
 2982 
 
 149943 
 
 57 
 
 4 
 
 850751 
 
 2955 
 
 998905 
 
 15 
 
 851846 
 
 2970 
 
 148154 
 
 56 
 
 5 
 
 852525 
 
 2943 
 
 998896 
 
 15 
 
 853628 
 
 2958 
 
 146372 
 
 55 
 
 6 
 
 854291 
 
 2931 
 
 998887 
 
 15 
 
 855403 
 
 2946 
 
 144597 
 
 54 
 
 7 
 
 856049 
 
 2919 
 
 998878 
 
 15 
 
 857171 
 
 2935 
 
 142829 
 
 53 
 
 8 
 
 857801 
 
 2907 
 
 998869 
 
 15 
 
 858932 
 
 2923 
 
 141068 
 
 52 
 
 9 
 
 859546 2896 
 
 998860 
 
 15 
 
 860686 
 
 2911 
 
 139314 
 
 51 
 
 10 
 
 861283! 2884 
 
 998851! 15 
 
 862433 
 
 2900 
 
 137567 
 
 50 
 
 11 
 
 8.863014 2873 
 
 9.998841 
 
 15 
 
 8.864173 
 
 2888 
 
 11.135827 
 
 49 
 
 12 
 
 864738 
 
 2861 
 
 998832 
 
 15 
 
 865906 
 
 2877 
 
 134094 
 
 48 
 
 13 
 
 866455 
 
 2850 
 
 998823 
 
 16 
 
 867632 
 
 2866 
 
 132368 
 
 47 
 
 14 
 
 868165 
 
 2839 
 
 998813 
 
 16 
 
 869351 
 
 2854 
 
 1 30649 
 
 46 
 
 15 
 
 869868 
 
 2828 
 
 998804 
 
 16 
 
 871064 
 
 2843 
 
 128936 
 
 45 
 
 16 
 
 871565 
 
 2817 
 
 998795 
 
 16 
 
 872770 
 
 2832 
 
 127230 
 
 44 
 
 17 
 
 873255 
 
 2806 
 
 998785 
 
 16 
 
 874469 
 
 2821 
 
 125531 
 
 43 
 
 18 
 
 874938 
 
 2795 
 
 998776 
 
 16 
 
 876162 
 
 2811 
 
 123838 
 
 42 
 
 19 
 
 876615 
 
 2786 
 
 998766 
 
 16 
 
 877849 
 
 2800 
 
 122151 
 
 41 
 
 20 
 
 878285 
 
 2773 
 
 998757 
 
 16 
 
 879529 
 
 2789 
 
 120471 
 
 40 
 
 21 
 
 8.879949 
 
 2763 
 
 9.998747 
 
 16 
 
 8.881202 
 
 2779 
 
 11.118798 
 
 39 
 
 22 
 
 881607 
 
 2752 
 
 998738 
 
 16 
 
 882869 
 
 2768 
 
 117131 
 
 38 
 
 23 
 
 883258 
 
 2742 
 
 998728 
 
 16 
 
 884530 
 
 2758 
 
 115470 
 
 37 
 
 24 
 
 884903 
 
 2731 
 
 998718 
 
 16 
 
 886185 
 
 2747 
 
 113815 
 
 36 
 
 25 
 
 886542 
 
 2721 
 
 998708 
 
 16 
 
 887833 
 
 2737 
 
 112167 
 
 35 
 
 26 
 
 888174 
 
 2711 
 
 998699 
 
 16 
 
 889476 
 
 2727 
 
 110524 
 
 34 
 
 27 
 
 889801 
 
 2700 
 
 998689 
 
 16 
 
 891112 
 
 2717 
 
 108888 
 
 33 
 
 28 
 
 891421 
 
 2690 
 
 998679 
 
 16 
 
 892742 
 
 2707 
 
 107258 
 
 32 
 
 29 
 
 893035 
 
 2680 
 
 998669 
 
 17 
 
 894366 
 
 2697 
 
 105634 
 
 31 
 
 30 
 
 894643 
 
 2670 
 
 998659 
 
 17 
 
 895984 
 
 2687 
 
 104016 
 
 30 
 
 31 
 
 8.896246 
 
 2660 
 
 9.998649 
 
 17 
 
 8.897596 
 
 2677 
 
 11.102404 
 
 29 
 
 32 
 
 897842 
 
 2651 
 
 998639 
 
 17 
 
 899203 
 
 2667 
 
 100797 
 
 28 
 
 33 
 
 899432 
 
 2641 
 
 998629 
 
 17 
 
 900803 
 
 2658 
 
 099197 
 
 27 
 
 34 
 
 901017 
 
 2631 
 
 998619 
 
 17 
 
 902398 
 
 2648 
 
 097602 
 
 26 
 
 35 
 
 902596 
 
 2622 
 
 998609 
 
 17 
 
 903987 
 
 2638 
 
 096013 
 
 25 
 
 36 
 
 904169 
 
 2612 
 
 998599 
 
 17 
 
 905570 
 
 2629 
 
 094430 
 
 24 
 
 37 
 
 905736 
 
 2603 
 
 998589 
 
 17 
 
 907147 
 
 2620 
 
 092853 
 
 23 
 
 38 
 
 907297 
 
 2593 
 
 998578 
 
 17 
 
 908719 
 
 2610 
 
 091281 
 
 22 
 
 39 
 
 908853 
 
 2584 
 
 998568 
 
 17 
 
 910285 
 
 2601 
 
 089715 
 
 21 
 
 40 
 
 910404 
 
 2575 
 
 998558 
 
 17 
 
 911846 
 
 2592 
 
 . 088154 
 
 20 
 
 41 
 
 8.911949 
 
 2566 
 
 9.998548 
 
 17 
 
 8.913401 
 
 2583 
 
 11.086599 
 
 19 
 
 42 
 
 913488 
 
 2556 
 
 998537 
 
 17 
 
 914951 
 
 2574 
 
 085049 
 
 18 
 
 43 
 
 915022 
 
 2547 
 
 998527 
 
 17 
 
 916495 
 
 2565 
 
 083505 
 
 17 
 
 44 
 
 916550 
 
 2538 
 
 998516 
 
 18 
 
 918034 
 
 2556 
 
 081966 
 
 16 
 
 45 
 
 918073 
 
 2529 
 
 998506 
 
 18 
 
 919568 
 
 2547 
 
 080432 
 
 15 
 
 46 
 
 919591 
 
 2520 
 
 998495 
 
 18 
 
 921096 
 
 2538 
 
 078904 
 
 14 
 
 47 
 
 921103 
 
 2512 
 
 998485 
 
 18 
 
 922619 
 
 2530 
 
 077381 
 
 13 
 
 48 
 
 922610 
 
 2503 
 
 998474 
 
 18 
 
 924136 
 
 2521 
 
 075864 
 
 12 
 
 49 
 
 924112 
 
 2494 
 
 998464 
 
 18 
 
 925649 
 
 2512 
 
 074351 
 
 11 
 
 50 
 
 925609 
 
 2486 
 
 998453 
 
 18 
 
 927156 
 
 2503 
 
 072844 
 
 10 
 
 51 
 
 8.927100 
 
 2477 
 
 9.998442 
 
 18 
 
 8.928658 
 
 2495 
 
 11.071342 
 
 9 
 
 52 
 
 928587 
 
 2469 
 
 998431 
 
 18 
 
 930155 
 
 2486 
 
 069845 
 
 8 
 
 53 
 
 930068 
 
 2460 
 
 998421 
 
 18 
 
 931647 
 
 2478 
 
 068353 
 
 7 
 
 54 
 
 931544 
 
 2452 
 
 998410 
 
 18 
 
 933134 
 
 2470 
 
 066866 
 
 6 
 
 55 
 
 933015 
 
 2443 
 
 998399 
 
 18 
 
 934616 
 
 2461 
 
 065384 
 
 5 
 
 56 
 
 934481 
 
 2435 
 
 998388 
 
 18 
 
 936093 
 
 2453 
 
 U63907 
 
 4 
 
 57 
 
 935942 
 
 2427 
 
 998377 
 
 18 
 
 937565 
 
 2445 
 
 062435 
 
 3 
 
 58 
 
 937398 
 
 2419 
 
 998366 
 
 18 
 
 939032 
 
 2437 
 
 060968 
 
 2 
 
 59 
 
 938850 
 
 2411 
 
 998355 
 
 18 
 
 940494 
 
 2430 
 
 059506 
 
 1 
 
 60 
 
 940296 
 
 2403 
 
 998344 
 
 18 
 
 941952 
 
 2421 
 
 058048 
 
 
 
 
 Cosine 
 
 
 Sine 
 
 Cotang. 
 
 | Tang. 
 
 ML 
 
 85 Degrees. 
 
BINES AND TANGENTS. ^5 Degrees.) 
 
 | M. | Sine | D. 
 
 Cosine D. j Tang. 
 
 D. | Ootang. | 
 
 
 
 8.940296 
 
 2403 
 
 9.998344 
 
 19 
 
 8.941952 
 
 2421 
 
 11.058048 
 
 60 
 
 1 
 
 941738 
 
 2394 
 
 998333 
 
 19 
 
 943404 
 
 2413 
 
 056596 
 
 59 
 
 2 
 
 943174 
 
 2387 
 
 998322 
 
 19 
 
 944S52 
 
 2405 
 
 055148 
 
 58 
 
 3 
 
 944606 
 
 2379 
 
 998311 
 
 19 
 
 946295 
 
 2397 
 
 053705 
 
 57 
 
 4 
 
 946034 
 
 2371 
 
 998300 
 
 19 
 
 947734 
 
 2390 
 
 052266 
 
 56 
 
 6 
 
 947456 
 
 2363 
 
 998289 
 
 19 
 
 949168 
 
 2382 
 
 050832 
 
 55 
 
 p 
 
 948874 
 
 2355 
 
 998277 
 
 19 
 
 950597 
 
 2374 
 
 049403! 54 
 
 V 
 
 950287 
 
 2348 
 
 998266 
 
 19 
 
 952021 
 
 2366 
 
 047979 53 
 
 8 
 
 951696 
 
 2340 
 
 998255 
 
 19 
 
 953441 
 
 2360 
 
 0465591 52 
 
 ! 
 
 953100 
 
 2332 
 
 998243 
 
 19 
 
 954856 
 
 2351 
 
 045144 
 
 51 
 
 10 
 
 954499 
 
 2325 
 
 998232 
 
 19 
 
 956267 
 
 2344 
 
 043733 
 
 50 
 
 11 
 
 8 . 955894 
 
 2317 
 
 9.998220 
 
 19 
 
 8.957674 
 
 2337 
 
 11.042326 
 
 49 
 
 n 
 
 957284 
 
 2310 
 
 998209 
 
 19 
 
 959075 
 
 2329 
 
 040925 
 
 48 
 
 11 
 
 958670 
 
 2302 
 
 998197 
 
 19 
 
 960473 
 
 2323 
 
 039527 
 
 47 
 
 14 
 
 960052 
 
 2295 
 
 998186 
 
 19 
 
 961866 
 
 2314 
 
 038134 
 
 46 
 
 IA 
 
 961429 
 
 2288 
 
 998174 
 
 19 
 
 963255 
 
 2307 
 
 036745 
 
 45 
 
 16 
 
 962801 
 
 2280 
 
 998163 
 
 19 
 
 964639 
 
 2300 
 
 035361 
 
 44 
 
 17 
 
 964170 
 
 2273 
 
 998151 
 
 19 
 
 966019 
 
 2293 
 
 033981 
 
 43 
 
 18 
 
 965534 
 
 2266 
 
 998139 
 
 20 
 
 9673941 2286 
 
 032606 
 
 42 
 
 19 
 
 966893 
 
 2259 
 
 998128 
 
 20 
 
 968766 
 
 2279 
 
 031234 
 
 41 
 
 20 
 
 96S249 
 
 2252 
 
 998116 
 
 20 
 
 970133 
 
 2271 
 
 029867 
 
 40 
 
 21 
 
 8.969600 
 
 2244 
 
 9.998104 
 
 20 
 
 8.971496 
 
 2265 
 
 1 1 . 028504 
 
 39 
 
 22 
 
 970947 
 
 2238 
 
 998092 
 
 20 
 
 972855 
 
 2257 
 
 027145 
 
 38 
 
 23 
 
 972289 
 
 2231 
 
 998080 
 
 20 
 
 974209 
 
 2251 
 
 025791 
 
 37 
 
 24 
 
 973628 
 
 2224 
 
 998068 
 
 20 
 
 975560 
 
 2244 
 
 024440 
 
 36 
 
 25 
 
 974962 
 
 2217 
 
 998056 
 
 20 
 
 976906 
 
 2237 
 
 023094 
 
 35 
 
 26 
 
 976293 
 
 2210 
 
 998044 
 
 20 
 
 978248 
 
 2230 
 
 021752 
 
 34 
 
 27 
 
 977619 
 
 2203 
 
 998032 
 
 20 
 
 979586 
 
 2223 
 
 020414 
 
 33 
 
 28 
 
 978941 
 
 2197 
 
 998020 
 
 20 
 
 930921 
 
 2217 
 
 019079 
 
 32 
 
 29 
 
 980259 
 
 2190 
 
 998008 
 
 20 
 
 982251 
 
 2210 
 
 017749 
 
 31 
 
 30 
 
 931573 
 
 2183 
 
 997996 
 
 20 
 
 983577 
 
 2204 
 
 0164231 30 
 
 31 
 
 8.982883 
 
 2177 
 
 9.997984 
 
 20 
 
 8.984899 
 
 2197 
 
 11.015101 
 
 29 
 
 32 
 
 984189 
 
 2170 
 
 997972 
 
 20 
 
 986217 
 
 2191 
 
 013783 
 
 28 
 
 33 
 
 98549 1 
 
 2163 
 
 997959 
 
 20 
 
 987532 
 
 2184 
 
 012468 
 
 27 
 
 34 
 
 986789 
 
 2157 
 
 997947 
 
 20 
 
 988842 
 
 2178 
 
 011158 
 
 26 
 
 35 
 
 988083 
 
 2150 
 
 997935 
 
 21 
 
 990149 
 
 2171 
 
 009851 
 
 25 
 
 36 
 
 989374 
 
 2144 
 
 997922 
 
 21 
 
 991451 
 
 2165 
 
 008549 
 
 24 
 
 37 
 
 990660 
 
 2138 
 
 997910 
 
 21 
 
 992750 
 
 2158 
 
 007250 
 
 23 
 
 38 
 
 991943 
 
 2131 
 
 997897 
 
 21 
 
 994045 
 
 2152 
 
 005955 
 
 22 
 
 39 
 
 993222 
 
 2125 
 
 997885 
 
 21 
 
 995337 
 
 2146 
 
 004663 
 
 21 
 
 40 
 
 934497 
 
 2119 
 
 997872 
 
 21 
 
 996624 
 
 2140 
 
 003376 
 
 20 
 
 41 
 
 8.995768 
 
 2112 
 
 9.997860 
 
 21 
 
 8 . 997908 
 
 2134 
 
 11.002092 
 
 19 
 
 42 
 
 997036 
 
 2106 
 
 997847 
 
 21 
 
 999188 
 
 2127 
 
 000812 
 
 18 
 
 43 
 
 998299 
 
 2100 
 
 997835 
 
 21 
 
 9.000465 
 
 2121 
 
 10.999535 
 
 17 
 
 44 
 
 999560 
 
 2094 
 
 997822 
 
 21 
 
 001738 
 
 2115 
 
 998262 
 
 16 
 
 45 
 
 9.000816 
 
 2087 
 
 997809 
 
 21 
 
 003007 
 
 2109 
 
 996993 
 
 15 
 
 46 
 
 002069 
 
 2082 
 
 997797 
 
 21 
 
 004272 
 
 2103 
 
 995728 
 
 14 
 
 47 
 
 003318 
 
 2076 
 
 997784 
 
 21 
 
 005534 
 
 2097 
 
 994406 
 
 13 
 
 48 
 
 004563 
 
 2070 
 
 997771 
 
 21 
 
 006792 
 
 2091 
 
 993208 
 
 12 
 
 49 
 
 005805 
 
 2064 
 
 997758 
 
 21 
 
 008047 
 
 2085 
 
 991953 
 
 11 
 
 50 
 
 007044 
 
 2058 
 
 997745 
 
 21 
 
 009298 
 
 2080 
 
 990702 
 
 
 
 51 
 
 9.008278 2052 
 
 9.997732 
 
 21 
 
 9.010546 
 
 2074 
 
 10.989454 
 
 9 
 
 52 
 
 009510 2046 
 
 997719 
 
 21 
 
 011790 
 
 2068 
 
 988210 
 
 8 
 
 53 
 
 010737 2040 
 
 997706 
 
 21 
 
 013031 
 
 2062 
 
 986969 
 
 7 
 
 54 
 
 0119621 2034 
 
 997693 
 
 22 
 
 014268 
 
 2056 
 
 985732 
 
 6 
 
 55 
 
 013182; 2029 
 
 997680 
 
 22 
 
 015502 
 
 2051 
 
 984498 
 
 5 
 
 56 
 
 014400 2023 
 
 997667! 22 
 
 Olb/32 
 
 2045 
 
 983268 
 
 4 
 
 57 
 
 015613 2017 
 
 997654 22 
 
 017959 
 
 2040 
 
 982041 
 
 3 
 
 58 
 
 016824! 2012 
 
 997641 22 
 
 019183 
 
 2033 
 
 980817 
 
 2 
 
 59 
 
 018031 1 2006 
 
 997628; 22 
 
 020403 
 
 2028 
 
 979597 
 
 1 
 
 60 
 
 019235 2000 
 
 997614122 
 
 021620 
 
 2023 
 
 978380 
 
 
 
 | Cosine j Sine 
 
 
 Cotang. | 
 
 Tang. | M. 
 
 84 Degrees. 
 
2*4 
 
 (6 Degrees.) A TABLE OF LOGARITHMIC 
 
 M 
 
 Sine | 
 
 D. 
 
 Cosine | D. 
 
 Tang D. 
 
 Cotang. 
 
 
 
 9.019235 
 
 2000 
 
 9.997614 
 
 22 
 
 9.021620 2023 
 
 0.978380 
 
 60 
 
 1 
 
 020435 
 
 1995 
 
 997601 
 
 22 
 
 022834J 2017 
 
 977166 
 
 59 
 
 2 
 
 021632 
 
 1989 
 
 997588 
 
 22 
 
 024044 2011 
 
 975956 
 
 58 
 
 3 
 
 022825 
 
 1984 
 
 997574 
 
 22 
 
 025251 2006 
 
 974749 
 
 57 
 
 4 
 
 024016 
 
 1978 
 
 997561 
 
 22 
 
 026455! 2000 
 
 973545 
 
 56 
 
 5 
 
 025203 
 
 1973 
 
 997547 
 
 22 
 
 0276551 1995 
 
 972345 
 
 55 
 
 6 
 
 026386 
 
 1967 
 
 997534 
 
 23 
 
 028852 1990 
 
 971148 
 
 54 
 
 7 
 
 027567 
 
 1962 
 
 997520 
 
 23 
 
 030046 
 
 1985 
 
 969954 
 
 53 
 
 8 
 
 028744 
 
 1957 
 
 997507 
 
 23 
 
 031237 
 
 1979 
 
 968763 
 
 52 
 
 9 
 
 029918 
 
 1951 
 
 997493 
 
 23 
 
 032425 
 
 1974 
 
 ?67575 
 
 51 
 
 10 
 
 031089 
 
 1947 
 
 997480 
 
 23 
 
 033609 1969 
 
 966391 
 
 50 
 
 11 
 
 9.032257 
 
 1941 
 
 9.997466 
 
 23 
 
 9.034791 1964 
 
 0.965209 
 
 49 
 
 12 
 
 033421 
 
 1936 
 
 997452 
 
 23 
 
 035969! 1958 
 
 964031 
 
 48 
 
 13 
 
 034582 
 
 1930 
 
 997439 
 
 23 
 
 0371441 1953 
 
 962856 
 
 47 
 
 14 
 
 035741 
 
 1925 
 
 997425 
 
 23 
 
 038316 1948 
 
 961684 
 
 46 
 
 15 
 
 036896 
 
 1920 
 
 997411 
 
 23 
 
 0394851 1943 
 
 960515 
 
 45 
 
 16 
 
 038048 
 
 1915 
 
 997397 
 
 23 
 
 04065 l! 1938 
 
 959349 
 
 44 
 
 17 
 
 039197 
 
 1910 
 
 997383 
 
 23 
 
 041813 1933 
 
 958187 
 
 43 
 
 18 
 
 040342 
 
 1905 
 
 997369 
 
 23 
 
 042973 1928 
 
 957027 
 
 42 
 
 19 
 
 041485 
 
 1899 
 
 997355 
 
 23 
 
 044130 1923 
 
 955870 
 
 41 
 
 20 
 
 042625 
 
 1894 
 
 997341 
 
 23 
 
 045284J 1918 
 
 954716 
 
 40 
 
 21 
 
 9.043762 
 
 1889 
 
 9.997327 
 
 24 
 
 9.046434! 1913 
 
 10.953566 
 
 39 
 
 22 
 
 044895 
 
 1884 
 
 997313 
 
 24 
 
 047582 
 
 1908 
 
 952418 
 
 38 
 
 23 
 
 046026 
 
 1879 
 
 997299 
 
 24 
 
 048727 
 
 1903 
 
 951273 
 
 37 
 
 24 
 
 047154 
 
 1875 
 
 997285 
 
 24 
 
 049869 
 
 1898 
 
 950131 
 
 36 
 
 25 
 
 048279 
 
 1870 
 
 997271 
 
 24 
 
 051008! 1893 
 
 948992 
 
 35 
 
 26 
 
 049400 
 
 1865 
 
 997257 
 
 24 
 
 052144 1889 
 
 947856 
 
 34 
 
 27 
 
 050519 
 
 1860 
 
 997242 
 
 24 
 
 053277 
 
 1884 
 
 946723 
 
 33 
 
 28 
 
 051635 
 
 1855 
 
 997228 
 
 24 
 
 054407 1879 
 
 945593 
 
 32 
 
 29 
 
 052749 
 
 1850 
 
 997214 
 
 24 
 
 055535 
 
 1874 
 
 944465 
 
 31 
 
 30 
 
 053859 
 
 1845 
 
 997199 
 
 24 
 
 056659 1870 
 
 943341 
 
 30 
 
 31 
 
 054966 
 
 1841 
 
 9.997185 
 
 24 
 
 9.057781 1865 
 
 10.942219 
 
 29 
 
 32 
 
 056071 
 
 1836 
 
 997170 
 
 24 
 
 058900' 1869 
 
 941100 
 
 28 
 
 33 
 
 057172 
 
 1831 
 
 997156 
 
 24 
 
 060016! 1855 
 
 939984 
 
 27 
 
 34 
 
 058271 
 
 1827 
 
 997141 
 
 24 
 
 061130! 1851 
 
 938870 
 
 26 
 
 35 
 
 059307 
 
 1822 
 
 997127 
 
 24 
 
 062240: 1846 
 
 937760 
 
 25 
 
 36 
 
 060460 
 
 1817 
 
 997112 
 
 24 
 
 063348: 1842 
 
 936652 
 
 24 
 
 37 
 
 061551 
 
 1813 
 
 9117098 
 
 24 
 
 064453 1837 
 
 935547 
 
 23 
 
 38 
 
 062639 
 
 1808 
 
 997083 
 
 25 
 
 065556J 1833 
 
 934444 
 
 22 
 
 39 
 
 063724 
 
 1804 
 
 997068 
 
 25 
 
 066655 1828 
 
 933345 
 
 21 
 
 40 
 
 064806 
 
 1799 
 
 997053 
 
 25 
 
 067752 
 
 1824 
 
 932248 
 
 20 
 
 41 
 
 9.0658S5 
 
 1794 
 
 9 . 997039 
 
 '25 
 
 9.068846J 1819 
 
 10.931154 
 
 19 
 
 42 
 
 066962 
 
 1790 
 
 997024 
 
 25 
 
 069938! 1815 
 
 930062 
 
 18 
 
 43 
 
 068036 
 
 1786 
 
 997009 
 
 25 
 
 071027 1810 
 
 928973 
 
 17 
 
 44 
 
 069107 
 
 1781 
 
 996994 
 
 25 
 
 0721131 1806 
 
 927887 
 
 16 
 
 45 
 
 070176 
 
 1777 
 
 996979 
 
 25 
 
 073197 1802 
 
 926803 
 
 15 
 
 46 
 
 071242 
 
 1772 
 
 996964 
 
 25 
 
 074278 
 
 1797 
 
 925722 
 
 14 
 
 47 
 
 072306 
 
 1768 996949 
 
 25 
 
 075356 
 
 1793 
 
 924644 
 
 13 
 
 48 
 
 073366 
 
 1763 
 
 996934 
 
 25 
 
 076432 
 
 1789 
 
 923568 
 
 12 
 
 49 
 
 074424 
 
 1759 
 
 996919 
 
 25 
 
 077505 
 
 1784 
 
 922495 
 
 11 
 
 50 
 
 075480 
 
 1755 
 
 996904 
 
 25 
 
 078576 
 
 1780 
 
 921424 
 
 10 
 
 51 
 
 9.076533 
 
 1750 
 
 9.996889 
 
 25 
 
 9.079644 
 
 1776 
 
 10.920356 
 
 9 
 
 52 
 
 077583 
 
 : 1746 
 
 996874 
 
 25 
 
 080710 
 
 1772 
 
 919290 
 
 8 
 
 53 
 
 078631 
 
 : 1742 
 
 996858 
 
 25 
 
 081773 
 
 1767 
 
 918227 
 
 7 
 
 64 
 
 079676 
 
 1738 
 
 996843 
 
 25 
 
 082833 
 
 1763 
 
 917167 
 
 6 
 
 55 
 
 080719 
 
 1733 
 
 996828 
 
 25 
 
 083891 
 
 1759 
 
 916109 
 
 5 
 
 56 
 
 081759 
 
 1729 
 
 996812 
 
 26 
 
 084947J 1755 
 
 915053 
 
 4 
 
 57 
 
 08279V 
 
 ! 1725 
 
 996797 
 
 26 
 
 0860001 1751 
 
 914000 
 
 J 
 
 58 
 
 083832 
 
 1721 
 
 996782 
 
 26 
 
 0870501 1747 
 
 912950 
 
 2 
 
 69 
 
 084864 
 
 1717 
 
 996766 
 
 26 
 
 088098 
 
 1743 
 
 911902 
 
 1 
 
 60 
 
 085894 
 
 1713 996751 
 
 26 
 
 089144 
 
 1738 
 
 910856 
 
 
 
 | Cosine | 
 
 Sine | 
 
 (In ang. 
 
 
 Tang. 
 
 M. 
 
 83 Degreed. 
 
SINES AND TANGENTS. ^7 Degrees.) 
 
 25 
 
 M. 1 Sine D. | Cosine | D. ) Tang. | D. Cotang. | 
 
 
 
 9.085894 
 
 1713 
 
 9.996751 
 
 2b 
 
 9.089144 
 
 1738 
 
 10.910850 
 
 60 
 
 1 
 
 086922 
 
 1709 
 
 996735 
 
 26 
 
 090187 
 
 1734 
 
 909813 
 
 59 
 
 2 
 
 087947 
 
 1704 
 
 996720 26 
 
 091228 
 
 1730 
 
 908772 
 
 58 
 
 3 
 
 088970 
 
 1700 
 
 996704 
 
 26 
 
 092266 
 
 1727 
 
 907734 
 
 57 
 
 4 
 
 089990 
 
 1696 
 
 996688 
 
 26 
 
 093302 
 
 1722 
 
 906698 
 
 56 
 
 5 
 
 091008 
 
 1692 
 
 996673 
 
 26 
 
 094336 
 
 1719 
 
 905664 
 
 55 
 
 6 
 
 092024 
 
 1688 
 
 996657 
 
 26 
 
 095367 
 
 1715 
 
 904603 54 
 
 7 
 
 093037 
 
 1684 
 
 996641 
 
 26 
 
 096395 
 
 1711 
 
 903605 
 
 53 
 
 8 
 
 094047 
 
 1680 
 
 996625 
 
 26 
 
 097422 
 
 1707 
 
 902578 
 
 52 
 
 9 
 
 095056 
 
 1676 
 
 996610 
 
 26 
 
 098446 
 
 1703 
 
 901554 
 
 5\ 
 
 10 
 
 09G062 
 
 1673 
 
 996594 
 
 26 
 
 099468 
 
 169:) 
 
 S 00532 
 
 50 
 
 11 
 
 9.097065) 1668 
 
 9.996578 
 
 27 
 
 9.100487 
 
 1695 
 
 10.899513 
 
 49 
 
 12 
 
 098066 
 
 1665 
 
 996562 
 
 27 
 
 101504 
 
 1691 
 
 898496 
 
 48 
 
 13 
 
 099065 
 
 1661 
 
 996546 
 
 27 
 
 102519 
 
 1687 
 
 897481 
 
 47 
 
 14 
 
 100062 
 
 1657 
 
 996530 
 
 27 
 
 103532 
 
 1684 
 
 896468 
 
 46 
 
 15 
 
 101056 
 
 1653 
 
 996514 
 
 27 
 
 104542 
 
 1680 
 
 895458 
 
 45 
 
 16 
 
 102048 
 
 1649 
 
 996498 
 
 27 
 
 105550 
 
 1676 
 
 894450 
 
 44 
 
 17 
 
 103037 
 
 1645 
 
 996482 
 
 27 
 
 106556 
 
 1672 
 
 893444 
 
 43 
 
 18 
 
 104025 
 
 1641 
 
 996465 
 
 27 
 
 107559 
 
 1669 
 
 892441 
 
 42 
 
 19 
 
 105010 
 
 1638 
 
 996449 
 
 27 
 
 108560 
 
 1665 
 
 891440 
 
 41 
 
 20 
 
 105992 
 
 1634 
 
 996433 
 
 27 
 
 109559 
 
 1661 
 
 890441 
 
 40 
 
 21 
 
 9.106973 
 
 1630 
 
 9.996417 
 
 27 
 
 9.110556 
 
 1658 
 
 10.889444 
 
 39 
 
 22 
 
 107951 
 
 1627 
 
 996400 
 
 27 
 
 111551 
 
 1654 
 
 888449 
 
 38 
 
 23 
 
 108927 
 
 1623 
 
 996384 
 
 27 
 
 112543 
 
 1650 
 
 887457 
 
 37 
 
 24 
 
 109901 
 
 1619 
 
 996368 
 
 27 
 
 113533 
 
 1646 
 
 886467 
 
 36 
 
 25 
 
 110873 
 
 1616 
 
 996351 
 
 27 
 
 114521 
 
 1643 
 
 885479 
 
 35 
 
 26 
 
 111842 
 
 1612 
 
 996335 
 
 27 
 
 115507 
 
 1639 
 
 884493 
 
 34 
 
 27 
 
 112809 
 
 1608 
 
 990318 
 
 27 
 
 116491 
 
 1636 
 
 883509 
 
 33 
 
 28 
 
 1 13774 
 
 1605 
 
 996302 
 
 28 
 
 117472 
 
 1632 
 
 882528 
 
 32 
 
 29 
 
 114737 
 
 1601 
 
 996285 
 
 28 
 
 118452 
 
 1629 
 
 881548 
 
 31 
 
 30 
 
 1 15698 
 
 1597 
 
 996269 
 
 28 
 
 119429 
 
 1625 
 
 880571 
 
 30 
 
 31 
 
 9.116656 
 
 1594 
 
 9.996252 
 
 28 
 
 9.120404 
 
 1622 
 
 10.879596 
 
 29 
 
 32 
 
 117613 
 
 1590 
 
 996235 
 
 28 
 
 121377 
 
 1618 
 
 878623 
 
 28 
 
 33 
 
 118567 
 
 1587 
 
 996219 
 
 28 
 
 122348 
 
 1615 
 
 877652 
 
 27 
 
 34 
 
 119519 
 
 1583 
 
 996202 
 
 28 
 
 123317 
 
 1611 
 
 876683 
 
 26 
 
 35 
 
 120469 
 
 1580 
 
 996185 
 
 28 
 
 124284 
 
 1607 
 
 875716 
 
 25 
 
 36 
 
 121417 
 
 1576 
 
 996168 
 
 28 
 
 125249 
 
 1604 
 
 874751 
 
 24 
 
 37 
 
 122362 
 
 1573 
 
 996151 
 
 28 
 
 126211 
 
 1601 
 
 873789 
 
 23 
 
 38 
 
 123306 
 
 1569 
 
 996134 
 
 28 
 
 127172 
 
 1597 
 
 872828 
 
 22 
 
 39 
 
 124248 
 
 1566 
 
 996117 
 
 28 
 
 128130 
 
 1594 
 
 871870 
 
 21 
 
 40 
 
 125187 
 
 1562 
 
 996100 
 
 28 
 
 129087 
 
 1591 
 
 870913 
 
 20 
 
 41 
 
 9.126125 
 
 1559 
 
 9.996083 
 
 29 
 
 9.130041 
 
 1587 
 
 10.869959 
 
 19 
 
 42 
 
 127060 
 
 1556 
 
 996066 
 
 29 
 
 130994 
 
 1584 
 
 869006 
 
 18 
 
 43 
 
 127993 
 
 1552 
 
 996049 
 
 29 
 
 131944 
 
 1581 
 
 868056 
 
 17 
 
 44 
 
 128925 
 
 1549 
 
 996032 
 
 29 
 
 132893 
 
 1577 
 
 867107 
 
 16 
 
 45 
 
 129854 
 
 1545 
 
 996015 
 
 29 
 
 133839 
 
 1574 
 
 866161 
 
 15 
 
 46 
 
 130781 
 
 1542 
 
 995998 
 
 29 
 
 134784 
 
 1571 
 
 865216 
 
 14 
 
 47 
 
 131706 
 
 1539 
 
 995980 
 
 29 
 
 135726 
 
 1567 
 
 864274 
 
 13 
 
 48 
 
 132630 
 
 1535 
 
 995963 
 
 29 
 
 136667 
 
 1564 
 
 863333 
 
 12 
 
 49 
 
 133551 
 
 1532 
 
 995946 
 
 29 
 
 137605 
 
 1561 
 
 862395 
 
 11 
 
 50 
 
 134470 
 
 1529 
 
 995928 
 
 29 
 
 138542 
 
 1558 
 
 861458 
 
 10 
 
 51 
 
 9.135387 
 
 1525 
 
 9.995911 
 
 29 
 
 9.139476 
 
 1555 
 
 10.860524 
 
 9 
 
 52 
 
 136303 
 
 1522 
 
 995894 
 
 29 
 
 140409 
 
 1551 
 
 859591 
 
 8 
 
 53 
 
 137216 
 
 1519 
 
 995876 
 
 29 
 
 141340 
 
 1548 
 
 858660 
 
 7 
 
 54 
 
 138128 
 
 1516 
 
 995859 
 
 29 
 
 142269 
 
 1545 
 
 857731 
 
 6 
 
 55 
 
 139037 
 
 1512 
 
 995841 
 
 29 
 
 143196 
 
 1542 
 
 856804 
 
 5 
 
 56 
 
 139944 
 
 1509 
 
 995823 29 
 
 144121 
 
 1539 
 
 855879 
 
 4 
 
 57 
 
 140850 
 
 1506 
 
 995806 29 
 
 145044 
 
 1535 
 
 854956 
 
 3 
 
 58 
 
 141754 
 
 1503 
 
 995788 29 
 
 145966 
 
 1532 
 
 854034 
 
 2 
 
 59 
 
 142655t 1500 
 
 995771 
 
 29 
 
 146885 
 
 1529 
 
 853115 
 
 1 
 
 60 
 
 1435551 1496 
 
 995753 
 
 29 
 
 147803' 15216 
 
 852197 
 
 
 
 | Cosine j 
 
 Sine | ( oiaiis. | Tung M. 
 
 82 Degrees. 
 
(8 Degrees.; A TABLE OP LOGARITHMIC 
 
 M. Sine | D. | Conine D. Tang. D. Cutaiig. 
 
 
 
 
 9.143555 
 
 1496 
 
 9 . 995753 
 
 30 9.147803 
 
 1526 
 
 10.852197 60 
 
 1 
 
 144453 
 
 1493 
 
 995735 
 
 30 148718 
 
 1523 
 
 851282 
 
 59 
 
 2 
 
 145349 
 
 1490 
 
 995717 
 
 30 | 149632 
 
 1520 
 
 850368 
 
 58 
 
 3 
 
 146243 
 
 1487 
 
 995699 
 
 30 150544 
 
 1517 
 
 849456 
 
 57 
 
 4 
 
 147136 
 
 1484 
 
 995681 
 
 30 
 
 151454 
 
 1514 
 
 848546 
 
 56 
 
 5 
 
 148026 
 
 1481 
 
 995664 
 
 30 
 
 152363 
 
 1511 
 
 847637 
 
 55 
 
 6 
 
 148915 
 
 1478 
 
 995646 
 
 30 
 
 153269 
 
 1508 
 
 846731 
 
 54 
 
 7 
 
 149802 
 
 1475 
 
 995628 
 
 30 
 
 154174 
 
 1505 
 
 845826 
 
 53 
 
 8 
 
 150686 
 
 1472 
 
 995610 
 
 30 
 
 155077 
 
 1502 
 
 844923 
 
 52 
 
 9 
 
 151569 
 
 1469 
 
 995591 
 
 30 
 
 155978 
 
 1499 
 
 844022 
 
 21 
 
 10 
 
 152451 
 
 1466 
 
 995573 
 
 30 
 
 156877 
 
 1496 
 
 843123 
 
 50 
 
 11 
 
 9 153330 
 
 1463 
 
 9.995555 
 
 30 
 
 9.157775 
 
 1493 
 
 10.842225 
 
 49 
 
 12 
 
 154208 
 
 1460 
 
 995537 
 
 30 
 
 158671 
 
 1490 
 
 841329 
 
 48 
 
 13 
 
 155083 
 
 1457 
 
 995519 
 
 30 
 
 159565 
 
 1487 
 
 840435 
 
 47 
 
 14 
 
 155957 
 
 1454 
 
 995501 
 
 31 
 
 160457 
 
 1484 
 
 839543 
 
 46 
 
 15 
 
 156830 
 
 1451 
 
 995482 
 
 31 
 
 161347 
 
 1481 
 
 838653 
 
 45 
 
 16 
 
 157700 
 
 1448 
 
 995464 
 
 31 
 
 162236 
 
 1479 
 
 837764 
 
 44 
 
 17 
 
 158569 
 
 1445 
 
 995446 
 
 31 
 
 163123 
 
 1476 
 
 836877 
 
 43 
 
 18 
 
 159435 
 
 1442 
 
 995427 
 
 31 
 
 164008 
 
 1473 
 
 835992 
 
 42 
 
 19 
 
 160301 
 
 1439 
 
 995409 
 
 31 
 
 164892 
 
 1470 
 
 835108 
 
 41 
 
 20 
 
 161164 
 
 1436 
 
 995390 
 
 31 
 
 165774 
 
 1467 
 
 834226 
 
 40 
 
 21 
 
 9.162025 
 
 1433 
 
 9.995372 
 
 31 
 
 9.166654 
 
 1464 
 
 10.833346 
 
 39 
 
 22 
 
 162885 
 
 1430 
 
 995353 
 
 31 
 
 167532 
 
 1461 
 
 832468 
 
 38 
 
 23 
 
 1637431 1427 
 
 995334 31 
 
 168409 
 
 1458 
 
 831591 
 
 37 
 
 24 
 
 164600 
 
 1424 
 
 995316 
 
 31 
 
 169284 
 
 1455 
 
 830716 
 
 36 
 
 25 
 
 165454 
 
 1422 
 
 995297 
 
 31 
 
 170157 
 
 1453 
 
 829843 
 
 35 
 
 26 
 
 166307 
 
 1419 
 
 995278 
 
 31 
 
 171029 
 
 1450 
 
 828971 
 
 34 
 
 27 
 
 167159 
 
 1416 
 
 995260 
 
 31 
 
 171899 
 
 1447 
 
 828101 
 
 33 
 
 28 
 
 168008 
 
 1413 
 
 995241 
 
 32 
 
 172767 
 
 1444 
 
 827233 
 
 32 
 
 29 
 
 168856 
 
 1410 
 
 995222 
 
 32 
 
 173634 
 
 1442 
 
 826366 
 
 31 
 
 30 
 
 169702 
 
 1407 
 
 995203 
 
 32 
 
 174499 
 
 i439 
 
 825501 
 
 30 
 
 31 
 
 9.170547 
 
 1405 
 
 9.995184 
 
 32 
 
 9.175362 
 
 1436 
 
 10.824638 
 
 29 
 
 32 
 
 171389 
 
 1402 
 
 995165 
 
 32 
 
 176224 
 
 1433 
 
 823776 
 
 28 
 
 33 
 
 172230 
 
 1399 
 
 995146 
 
 32 
 
 177084 
 
 1431 
 
 822916 
 
 27 
 
 34 
 
 173070 
 
 1396 
 
 995127 
 
 32 
 
 177942 
 
 1428 
 
 822058 
 
 26 
 
 35 
 
 173908 
 
 1394 
 
 995108 
 
 32 
 
 178799 
 
 . 1425 
 
 821201 
 
 25 
 
 36 
 
 174744 
 
 1391 
 
 995089 
 
 32 
 
 179655 
 
 1423 
 
 820345 
 
 24 
 
 37 
 
 175578 
 
 1388 
 
 995070 
 
 32 
 
 180508 
 
 1420 
 
 819492 
 
 23 
 
 38 
 
 176411 
 
 1386 
 
 995051 
 
 32 
 
 181360 
 
 1417 
 
 818640 
 
 22 
 
 39 
 
 177242 
 
 1383 
 
 995032 
 
 32 
 
 182211 
 
 1415 
 
 817789 
 
 21 
 
 40 
 
 178072 
 
 1380 
 
 995013 
 
 32 
 
 183059 
 
 1412 
 
 816941 
 
 20 
 
 41 
 
 9.178900 
 
 1377 
 
 9.994993 
 
 32 
 
 9.183907 
 
 1409 
 
 10.816093 
 
 19 
 
 42 
 
 179726 
 
 1374 
 
 994974 
 
 32 
 
 184752 
 
 1407 
 
 815248 
 
 18 
 
 43 
 
 180551 
 
 1372 
 
 994955 
 
 32 
 
 185597 
 
 1404 
 
 814403 
 
 17 
 
 44 
 
 181374 
 
 1369 
 
 994935 
 
 32 
 
 186439 
 
 1402 
 
 813561 
 
 16 
 
 45 
 
 182196 
 
 1366 
 
 994916 
 
 33 
 
 187280 
 
 1399 
 
 812720 
 
 15 
 
 46 
 
 183016 
 
 1364 
 
 994896 
 
 33 
 
 188120 
 
 1396 
 
 811880 
 
 14 
 
 47 
 
 183834 
 
 1361 
 
 994877 
 
 33 
 
 188958 
 
 1393 
 
 811042 
 
 13 
 
 48 
 
 184651 
 
 1359 
 
 994857 
 
 33 
 
 189794 
 
 1391 
 
 810206 
 
 12 
 
 49 
 
 185466 
 
 1356 
 
 994838 
 
 33 
 
 190629 
 
 1389 
 
 809371 
 
 11 
 
 50 
 
 186280 
 
 1353 
 
 994818 
 
 33 
 
 191462 
 
 1386 
 
 808538 
 
 10 
 
 51 
 
 9.187092 
 
 1351 
 
 9.994798 
 
 33 
 
 9.192294 
 
 1384 
 
 10.807706 
 
 9 
 
 52 
 
 187903 
 
 1348 
 
 994779 
 
 33 
 
 193124 
 
 1381 
 
 806876 
 
 8 
 
 53 
 
 188712 
 
 1346 
 
 994759 
 
 33 
 
 193953 
 
 1379 
 
 806047 
 
 7 
 
 54 
 
 189519 
 
 1343 
 
 994739 
 
 33 
 
 194780 
 
 1376 
 
 805220 
 
 6 
 
 55 
 
 190325 
 
 1341 
 
 994719 
 
 33 
 
 195606 
 
 1374 
 
 804394 
 
 5 
 
 56 
 
 191130 
 
 1338 
 
 994700 
 
 33 
 
 196430 
 
 1371 
 
 803570 
 
 4 
 
 57 
 
 191933 
 
 1336 
 
 994680 
 
 33 
 
 197253 
 
 1369 
 
 802747 
 
 3 
 
 58 
 
 192734 
 
 1333 
 
 994660 
 
 33 
 
 198074 
 
 1366 
 
 801926 
 
 2 
 
 59 
 
 193534 
 
 1330 
 
 994640 
 
 33 
 
 198894 
 
 1364 
 
 801106 
 
 7 
 
 60 
 
 194332 
 
 1328 
 
 994620 
 
 33 
 
 199713 
 
 1361 
 
 800287 
 
 
 
 Cosine j | Sine 
 
 
 Cutang. 
 
 
 Tang. 
 
 M. 
 
 81 Degrees. 
 
SINES AT<D TANGKNTS. (9 Degrees. ) 
 
 27 
 
 M.| Sine | D. 
 
 Cosine | D. 
 
 Tang. ! D 
 
 Cotang. 
 
 o 
 
 9.194332 
 
 1328 
 
 9 . 994620 
 
 
 
 
 
 
 1 
 
 195129 
 
 1326 
 
 994600 
 
 33 
 
 200529 
 
 1359 
 
 799471 
 
 59 
 
 i 
 
 195925 
 
 1323 
 
 994580 
 
 33 
 
 201345 
 
 1356 
 
 798655 
 
 53 
 
 
 196719 
 
 1321 
 
 994560 
 
 34 
 
 202159 
 
 1354 
 
 797841 
 
 57 
 
 4. 
 
 197511 
 
 1318 
 
 994540 
 
 34 
 
 202971 
 
 1352 
 
 797029 
 
 56 
 
 ft 
 5 
 
 198302 
 
 1316 
 
 994519 
 
 34 
 
 203782 
 
 1349 
 
 796218 
 
 55 
 
 6 
 
 199091 
 
 1313 
 
 994499 
 
 34 
 
 204592 
 
 1347 
 
 795408 
 
 54 
 
 7 
 
 199879 
 
 1311 
 
 994479 
 
 34 
 
 205400 
 
 1345 
 
 794600 
 
 53 
 
 i 
 
 g 
 
 200666 
 
 1308 
 
 994459 
 
 34 
 
 206207 
 
 1342 
 
 793793 
 
 52 
 
 g 
 
 201451 
 
 1306 
 
 994438 
 
 34 
 
 207013 
 
 1340 
 
 792987 
 
 51 
 
 10 
 
 202234 
 
 1304 
 
 994418 
 
 34 
 
 207817 
 
 1338 
 
 792183 
 
 50 
 
 11 
 
 9.203017 
 
 1301 
 
 9.994397 
 
 34 
 
 9.208619 
 
 1335 
 
 10.791381 
 
 49 
 
 12 
 
 203797 
 
 1299 
 
 994377 
 
 34 
 
 209420 
 
 1333 
 
 790580 
 
 48 
 
 13 
 
 204577 
 
 1296 
 
 994357 
 
 34 
 
 210220 
 
 1331 
 
 789780 
 
 47 
 
 14 
 
 205354 
 
 1294 
 
 994336 
 
 34 
 
 211018 
 
 1328 
 
 788982 
 
 46 
 
 15 
 
 206131 
 
 1292 
 
 994316 
 
 34 
 
 211815 
 
 1326 
 
 788185 
 
 45 
 
 16 
 
 206906 
 
 1289 
 
 994295 
 
 34 
 
 212611 
 
 1324 
 
 787389 
 
 44 
 
 17 
 
 207679 
 
 1287 
 
 994274 
 
 35 
 
 213405 
 
 1321 
 
 786595 
 
 43 
 
 18 
 
 208452 
 
 128* 
 
 994254 
 
 35 
 
 214198 
 
 1319 
 
 785802 
 
 42 
 
 19 
 
 209222 
 
 1282 
 
 994233 
 
 35 
 
 214989 
 
 1317 
 
 785011 
 
 41 
 
 20 
 
 209992 
 
 1280 
 
 994212 
 
 35 
 
 215780 
 
 1315 
 
 784220 
 
 40 
 
 21 
 
 9.210760 
 
 1278 
 
 9.994191 
 
 35 
 
 9.216568 
 
 1312 
 
 10.783432 
 
 39 
 
 22 
 
 211526 
 
 1275 
 
 994171 
 
 35 
 
 217356 
 
 1310 
 
 782644 
 
 38 
 
 28 
 
 212291 
 
 1273 
 
 994150 
 
 35 
 
 218142 
 
 1308 
 
 781858 
 
 37 
 
 24 
 
 213055 
 
 1271 
 
 994129 
 
 35 
 
 218926 
 
 1305 
 
 781074 
 
 36 
 
 25 
 
 213818 
 
 1268 
 
 994108 
 
 35 
 
 219710 
 
 1303 
 
 780290 
 
 35 
 
 26 
 
 214579 
 
 1266 
 
 994087 
 
 35 
 
 220492 
 
 1301 
 
 779508 
 
 34 
 
 27 
 
 215338 
 
 1264 
 
 994066 
 
 35 
 
 221272 
 
 1299 
 
 778728 
 
 33 
 
 28 
 
 216097 
 
 1261 
 
 994045 
 
 35 
 
 222052 
 
 1297 
 
 777948 
 
 32 
 
 29 
 
 216854 
 
 1259 
 
 994024 
 
 35 
 
 222830 
 
 1294 
 
 777170 
 
 31 
 
 30 
 
 217609 
 
 1257 
 
 QQAoaa 
 
 2o 
 
 asoooo 
 
 129-3 
 
 TT6394 
 
 30 
 
 31 
 
 9.218363 
 
 1255 
 
 97993981 
 
 35 
 
 9.224382 
 
 1290 
 
 10.775618 
 
 29 
 
 32 
 
 219116 
 
 1253 
 
 993960 
 
 35 
 
 225156 
 
 1288 
 
 774844 
 
 28 
 
 33 
 
 i- 219868 
 
 1250 
 
 993939 
 
 35 
 
 225929 
 
 1286 
 
 774071 
 
 27 
 
 34 
 
 220618 
 
 1248 
 
 993918 
 
 35 
 
 226700 
 
 1284 
 
 773300 
 
 26 
 
 35 
 
 221367 
 
 1246 
 
 993896 
 
 36 
 
 227471 
 
 1281 
 
 772529 
 
 25 
 
 36 
 
 222115 
 
 1244 
 
 993875 
 
 36 
 
 228239 
 
 1279 
 
 771761 
 
 24 
 
 37 
 
 222861 
 
 1242 
 
 993854 
 
 36 
 
 229007 
 
 1277 
 
 770993 
 
 23 
 
 38 
 
 223606 
 
 1239 
 
 993832 
 
 36 
 
 229773 
 
 1275 
 
 770227 
 
 22 
 
 39 
 
 224349 
 
 1237 
 
 993811 
 
 36 
 
 230539 
 
 1273 
 
 769461 
 
 21 
 
 40 
 
 225092 
 
 1235 
 
 993789 
 
 36 
 
 231302 
 
 1271 
 
 768698 
 
 20 
 
 41 
 
 9.225833 
 
 1233 
 
 9.993768 
 
 36 
 
 9.232065 
 
 1269 
 
 10.767935 
 
 19 
 
 42 
 
 226573 
 
 1231 
 
 993746 
 
 36 
 
 232826 
 
 1267 
 
 . 767174 
 
 18 
 
 43 
 
 227311 
 
 1228 
 
 993725 
 
 36 
 
 233586 
 
 1265 
 
 766414 
 
 17 
 
 44 
 
 228048 
 
 1226 
 
 993703 
 
 36 
 
 234345 
 
 1262 
 
 765655 
 
 16 
 
 45 
 
 228784 
 
 1224 
 
 993681 
 
 36 
 
 235103 
 
 1260 
 
 764897 
 
 15 
 
 46 
 
 229518 
 
 1222 
 
 993660 
 
 36 
 
 235859 
 
 1258 
 
 764141 
 
 14 
 
 47 
 
 230252 
 
 1220 
 
 993638 
 
 36 
 
 236614 
 
 1256 
 
 763386 
 
 13 
 
 48 
 
 230984 
 
 1218 
 
 993616 
 
 36 
 
 237368 
 
 1254 
 
 762632 
 
 12 
 
 49 
 
 231714 
 
 1216 
 
 993594 
 
 37 
 
 238120 
 
 1252 
 
 761880 
 
 11 
 
 50 
 
 232444 
 
 1214 
 
 993572 
 
 37 
 
 238872 
 
 1250 
 
 761128 
 
 10 
 
 51 
 
 9.233172 
 
 1212 
 
 9.993550 
 
 37 
 
 9.239622 
 
 1248 
 
 10.760378 
 
 9 
 
 52 
 
 233899 
 
 1209 
 
 993528 
 
 37 
 
 240371 
 
 1246 
 
 759629 
 
 8 
 
 53 
 
 234625 
 
 1207 
 
 993506 
 
 37 
 
 241118 
 
 1244 
 
 758882 
 
 7 
 
 54 
 
 235349 
 
 1205 
 
 993484 
 
 37 
 
 241865 
 
 1242 
 
 758135 
 
 6 
 
 55 
 
 236073 
 
 1203 
 
 993462 
 
 37 
 
 242610 
 
 1240 
 
 757390 
 
 5 
 
 56 
 
 236795 
 
 1201 
 
 993440 
 
 37 
 
 243354 
 
 1238 
 
 756646 
 
 4 
 
 57 
 
 237515 
 
 1199 
 
 993418 
 
 37 
 
 244097 
 
 1236 
 
 755903 
 
 3 
 
 58 
 
 238235 
 
 1197 
 
 993396 
 
 37 
 
 244839 
 
 1234 
 
 755161 
 
 o 
 
 59 
 
 238958 
 
 1195 
 
 993374 
 
 37 
 
 245579 
 
 1232 
 
 754421 
 
 1 
 
 60 
 
 239670 
 
 1193 
 
 993351 
 
 37 
 
 246319 
 
 1230 
 
 753681 
 
 
 
 | Cosine , Sine | 
 
 Cutang. 
 
 Tang. | M. 
 
 80 Degrees. 
 
(10 Degrees.) A TABLE OF LOGARITHMIC 
 
 M. 
 
 Sine 
 
 1 D. 
 
 Cosine 
 
 ID. 
 
 | Tang. 
 
 1 D. 
 
 Cotang. 
 
 1 
 
 
 
 
 
 
 9.24631S 
 
 1230 
 
 10.753681 
 
 60 
 
 1 
 
 240386 
 
 1191 
 
 993329 
 
 37 
 
 24705? 
 
 1228 
 
 752943 
 
 59 
 
 2 
 
 241101 
 
 1189 
 
 993307 
 
 37 
 
 247794 
 
 1226 
 
 752206 
 
 5 
 
 3 
 
 241814 
 
 1187 
 
 993285 
 
 37 
 
 248530 
 
 1224 
 
 751470 
 
 57 
 
 4 
 
 242526 
 
 1185 
 
 993262 
 
 37 
 
 249264 
 
 1222 
 
 750736 
 
 56 
 
 5 
 
 243237 
 
 1183 
 
 993240 
 
 37 
 
 249998 
 
 1220 
 
 750002 
 
 55 
 
 6 
 
 243947 
 
 1181 
 
 993217 
 
 38 
 
 250730 
 
 1218 
 
 749270 
 
 54 
 
 7 
 
 244656 
 
 1179 
 
 993195 
 
 38 
 
 251461 
 
 1217 
 
 748539 
 
 5c 
 
 8 
 
 245363 
 
 1177 
 
 993172 
 
 38 
 
 252191 
 
 1215 
 
 747809 
 
 52 
 
 9 
 
 246069 
 
 1175 
 
 993149 
 
 38 
 
 252920 
 
 1213 
 
 747080 
 
 51 
 
 10 
 
 246775 
 
 1173 
 
 993127 
 
 38 
 
 253648 
 
 1211 
 
 746352 
 
 50 
 
 11 
 
 9.247478 
 
 1171 
 
 9.993104 
 
 38 
 
 9.254374 
 
 1209 
 
 10.745626 
 
 49 
 
 12 
 
 248181 
 
 1169 
 
 993081 
 
 38 
 
 255100 
 
 1207 
 
 744900 
 
 48 
 
 13 
 
 248883 
 
 1167 
 
 993059 
 
 38 
 
 255824 
 
 1205 
 
 744176 
 
 47 
 
 14 
 
 249583 
 
 1165 
 
 993036 
 
 38 
 
 256547 
 
 1203 
 
 743453 
 
 46 
 
 15 
 
 250282 
 
 1163 
 
 993013 
 
 38 
 
 257269 
 
 1201 
 
 742731 
 
 45 
 
 16 
 
 250980 
 
 1161 
 
 992990 
 
 38 
 
 257990 
 
 1200 
 
 742010 
 
 44 
 
 17 
 
 251677 
 
 1159 
 
 992967 
 
 38 
 
 258710 
 
 1198 
 
 741290 
 
 43 
 
 18 
 
 252373 
 
 1158 
 
 992944 
 
 38 
 
 259429 
 
 H96 
 
 740571 
 
 42 
 
 19 
 
 253067 
 
 1156 
 
 992921 
 
 38 
 
 260146 
 
 1194 
 
 739854 
 
 41 
 
 20 
 
 253761 
 
 1154 
 
 992898 
 
 38 
 
 260863 
 
 1192 
 
 739137 
 
 40 
 
 21 
 
 9.254453 
 
 1152 
 
 9.992875 
 
 38 
 
 9.261578 
 
 1190 
 
 10.738422 
 
 39 
 
 22 
 
 255144 
 
 1150 
 
 992852 
 
 38 
 
 262292 
 
 1189 
 
 737708 
 
 38 
 
 23 
 
 255834 
 
 1148 
 
 992829 
 
 39 
 
 263005 
 
 1187 
 
 736995 
 
 37 
 
 24 
 
 256523 
 
 1146 
 
 992806 
 
 39 
 
 263717 
 
 1185 
 
 736283 
 
 36 
 
 25 
 
 257211 
 
 1144 
 
 992783 
 
 39 
 
 264428 
 
 1183 
 
 735572 
 
 35 
 
 26 
 
 257898 
 
 1142 
 
 992759 
 
 39 
 
 265138 
 
 1181 
 
 734862 
 
 34 
 
 27 
 
 258583 
 
 1141 
 
 992736 
 
 39 
 
 265847 
 
 1179 
 
 734153 
 
 33 
 
 28 
 
 259268 
 
 1139 
 
 992713 
 
 39 
 
 266555 
 
 1178 
 
 733445 
 
 32 
 
 r>r> 
 
 O(^OQP;I 
 
 1 1^7 
 
 992690 
 
 39 
 
 267261 
 
 1176 
 
 732739 
 
 31 
 
 30 
 
 260633 
 
 1 135 
 
 992666 
 
 39 
 
 267967 
 
 1174 
 
 732033 
 
 30 
 
 31 
 
 9.261314 
 
 1133 
 
 9.99264*3 
 
 39 
 
 9.268671 
 
 1172 
 
 10.731329 
 
 29 
 
 32 
 
 261994 
 
 1131 
 
 992619 
 
 39 
 
 269375 
 
 1170 
 
 73062.5 
 
 28 
 
 33 
 
 262673 
 
 1130 
 
 992596 
 
 39 
 
 270077 
 
 1169 
 
 729923 
 
 27 
 
 34 
 
 263351 
 
 1128 
 
 992572 
 
 39 
 
 270779 
 
 1167 
 
 729221 
 
 26 
 
 35 
 
 264027 
 
 1126 
 
 992549 
 
 39 
 
 271479 
 
 1165 
 
 728521 
 
 25 
 
 36 
 
 264703 
 
 1124 
 
 992525 
 
 39 
 
 272178 
 
 1164 
 
 727822 
 
 24 
 
 37 
 
 265377 
 
 1122 
 
 992501 
 
 39 
 
 272876 
 
 1162 
 
 727124 
 
 23 
 
 38 
 
 266051 
 
 1120 
 
 992478 
 
 40 
 
 273573 
 
 1160 
 
 726427 
 
 22 
 
 39 
 
 266723 
 
 1119 
 
 992454 
 
 40 
 
 274269 
 
 1158 
 
 725731 
 
 21 
 
 40 
 
 267395 
 
 1117 
 
 992430 
 
 40 
 
 274964 
 
 1157 
 
 725036 
 
 20 
 
 41 
 
 9.268065 
 
 1115 
 
 9.992406 
 
 40 
 
 9.275658 
 
 1155 
 
 0.724342 
 
 19 
 
 42 
 
 268784 
 
 1113 
 
 992382 
 
 40 
 
 276351 
 
 1153 
 
 723649 
 
 18 
 
 43 
 
 269402 
 
 1111 
 
 992359 
 
 40 
 
 277043 
 
 1151 
 
 722957 
 
 17 
 
 44 
 
 270069 
 
 1110 
 
 992335 
 
 40 
 
 277734 
 
 1150 
 
 722266 
 
 16 
 
 45 
 
 270735 
 
 1108 
 
 992311 
 
 40 
 
 278424 
 
 1148 
 
 721576 
 
 15 
 
 46 
 
 271400 
 
 1106 
 
 992287 
 
 40 
 
 279113 
 
 1147 
 
 720887 
 
 14 
 
 47 
 
 272064 
 
 1105 
 
 992263 
 
 40 
 
 279801 
 
 1145 
 
 720199 
 
 13 
 
 48 
 
 272726 
 
 1103 
 
 992239 
 
 40 
 
 280488 
 
 1143 
 
 719512 
 
 12 
 
 49 
 
 273388 
 
 1101 
 
 992214 
 
 40 
 
 281174 
 
 1141 
 
 718826 
 
 11 
 
 50 
 
 274049 
 
 1099 
 
 992190 
 
 40 
 
 281858 
 
 1140 
 
 718142 
 
 10 
 
 51 
 
 9.274708 
 
 1098 
 
 9.992166 
 
 40 
 
 9.282542 
 
 1138 
 
 0.717458 
 
 9 
 
 52 
 
 275367 
 
 1096 
 
 992142 
 
 40 
 
 283225 
 
 1136 
 
 716775 
 
 8 
 
 53 
 
 276024 
 
 1094 
 
 992117 
 
 41 
 
 283907 
 
 1135 
 
 716093 
 
 7 
 
 54 
 
 276681 
 
 1092 
 
 992093 
 
 41 
 
 284588 
 
 1133 
 
 715412 
 
 6 
 
 55 
 
 277337 
 
 1091 
 
 9S2069 
 
 41 
 
 285268 
 
 1131 
 
 714732 
 
 5 
 
 56 
 
 277991 
 
 1089 
 
 992044 
 
 41 
 
 285947 
 
 1130 
 
 714053 
 
 4 
 
 57 
 
 278644 
 
 1087 
 
 992020 
 
 41 
 
 286624 
 
 1128 
 
 713376 
 
 3 
 
 58 
 
 279297 
 
 1086 
 
 991996 
 
 41 
 
 287301 
 
 1126 
 
 712699 
 
 2 
 
 59 
 
 279948 
 
 1084 
 
 991971 
 
 41 
 
 287977 
 
 1125 
 
 712023 
 
 1 
 
 60 
 
 280599 
 
 1082 
 
 991947 
 
 41 
 
 288652 
 
 1123 
 
 711348 
 
 
 
 
 Cosine ( 
 
 
 Siuo 
 
 
 Colung. | 
 
 
 Tang. 
 
 M. 
 
 79Degrees, 
 
SINES AND TANGENTS. ( 1 1 Degrees.) 
 
 M. 
 
 Sine | P. Cosim; | I). Tang. | D. | Cotang. | 
 
 
 
 9.280599 
 
 1082 
 
 9.991947 
 
 41 
 
 9.288652 
 
 1123 
 
 10.711348 
 
 60 
 
 1 
 
 281248 
 
 1081 
 
 991922 
 
 41 
 
 289326 
 
 1122 
 
 710674 
 
 59 
 
 2 
 
 281897 
 
 1079 
 
 991897 
 
 41 
 
 289999 
 
 1120 
 
 710001 
 
 58 
 
 3 
 
 282544 
 
 1077 
 
 991873 
 
 41 
 
 290671 
 
 1118 
 
 709329 
 
 57 
 
 4 
 
 283190 
 
 1076 
 
 991848 
 
 41 
 
 291342 
 
 1117 
 
 708658 
 
 56 
 
 5 
 
 283836 
 
 1074 
 
 991823 
 
 41 
 
 292013 
 
 1115 
 
 707987 
 
 55 
 
 6 
 
 284480 
 
 1072 
 
 991799 
 
 41 
 
 292682 
 
 1114 
 
 707318 
 
 54 
 
 7 
 
 285124 
 
 1071 
 
 991774 
 
 42 
 
 293350 
 
 1112 
 
 . 70660 
 
 53 
 
 8 
 
 285766 
 
 1069 
 
 991749 
 
 42 
 
 294017 
 
 1111 
 
 705983 
 
 52 
 
 9 
 
 286408 
 
 1067 
 
 991724 
 
 42 
 
 294684 
 
 1109 
 
 705316 
 
 51 
 
 10 
 
 287048 
 
 1066 
 
 991699 
 
 42 
 
 295349 
 
 1107 
 
 704651 
 
 50 
 
 11 
 
 9.287687 
 
 1064 
 
 9.991674 
 
 42 
 
 9.296013 
 
 1106 
 
 10.703987 
 
 49 
 
 12 
 
 288326 
 
 1063 
 
 991649 
 
 42 
 
 296677 
 
 1104 
 
 703323 
 
 48 
 
 13 
 
 288964 
 
 1061 
 
 991624 
 
 42 
 
 297339 
 
 1103 
 
 702661 
 
 47 
 
 14 
 
 289600 
 
 1059 
 
 991599 
 
 42 
 
 298001 
 
 1101 
 
 701999 
 
 46 
 
 15 
 
 290236 
 
 1058 
 
 991574 
 
 42 
 
 2'jS662 
 
 1100 
 
 701338 
 
 45 
 
 16 
 
 2908 70 
 
 1056 
 
 931549 12 
 
 2U9322 
 
 1098 
 
 700G73 
 
 44 
 
 17 
 
 291504 
 
 1054 
 
 991524 
 
 42 
 
 299980 
 
 1096 
 
 700020 
 
 43 
 
 13 
 
 292137 
 
 1053 
 
 991498 
 
 42 
 
 300638 
 
 1095 
 
 699362 
 
 42 
 
 19 
 
 292768 
 
 1051 
 
 991473 
 
 42 
 
 301295 
 
 1093 
 
 698705 
 
 41 
 
 2') 
 
 293399 
 
 1050 
 
 991448 
 
 42 
 
 301951 
 
 1092 
 
 698049 
 
 40 
 
 11 
 
 9.294029 
 
 1043 
 
 y. 99 1422 
 
 42 
 
 9.302607 
 
 1090 
 
 10.697393 
 
 39 
 
 22 
 
 2J4658 
 
 1046 
 
 991307 
 
 42 
 
 30326 1 
 
 1089 
 
 696739 
 
 38 
 
 23 
 
 2952SG 
 
 1045 
 
 9913/2 
 
 43 
 
 303914 
 
 1037 
 
 696086 
 
 37 
 
 24 
 
 295913 
 
 1043 
 
 991346 
 
 43 
 
 304567 
 
 1086 
 
 695433 
 
 36 
 
 25 
 
 296539 
 
 1042 
 
 991321 
 
 43 
 
 305218 
 
 1084 
 
 694782 
 
 35 
 
 26 
 
 297164 
 
 1040 
 
 901295 
 
 43 
 
 305369 
 
 1083 
 
 694131 
 
 34 
 
 27 
 
 2977S8 
 
 1039 
 
 991270 
 
 43 
 
 306519 
 
 1081 
 
 693481 
 
 33 
 
 28 
 
 298412 
 
 1037 
 
 991244 
 
 43 
 
 307168 
 
 1080 
 
 692832 
 
 32 
 
 21) 
 
 299034 
 
 1036 
 
 991218 
 
 43 
 
 307815 
 
 1078 
 
 692185 
 
 31 
 
 30 
 
 299655 
 
 1034 
 
 991193 
 
 43 
 
 308463 
 
 1077 
 
 691537 
 
 30 
 
 31 
 
 9 . 300276 
 
 1032 
 
 9.991167 
 
 43 
 
 9.309109 
 
 1075 
 
 10.690891 
 
 29 
 
 32 
 
 300895 
 
 1031 
 
 991141 
 
 43 
 
 309754 
 
 1074 
 
 690246 
 
 28 
 
 33 
 
 30L514 
 
 1029 
 
 991115 43 
 
 310398 1073 
 
 6d9o02 
 
 27 
 
 34 
 
 302132 
 
 1028 
 
 991090 43 
 
 31lOt2 ! 1071 
 
 6SS9 r /8 
 
 26 
 
 35 
 
 302748 
 
 1026 
 
 991064! 43 
 
 311685 
 
 1070 
 
 6883 L 5 
 
 25 
 
 36 
 
 303364 
 
 1025 
 
 991038 
 
 43 
 
 318327 
 
 !0u3 
 
 687073 
 
 24 
 
 37 
 
 303979 
 
 1023 
 
 991012 
 
 43 
 
 312967 
 
 1067 
 
 687033 
 
 23 
 
 38 
 
 304593 
 
 1022 
 
 990986 
 
 43 
 
 313608 
 
 1065 
 
 686392 
 
 22 
 
 39 
 
 305207 
 
 1020 
 
 990960 43 
 
 314247 
 
 1064 
 
 685753 
 
 21 
 
 40 
 
 305819 
 
 1019 
 
 990934 
 
 44 
 
 314885 
 
 1062 
 
 685115 
 
 20 
 
 41 
 
 9.306430 
 
 1017 
 
 9.990908 
 
 44 
 
 9.315523 
 
 1061 
 
 10.684477 
 
 19 
 
 42 
 
 307041 
 
 1016 
 
 990882 44 
 
 316159 
 
 1060 
 
 683841 
 
 18 
 
 43 
 
 307650 
 
 1)14 
 
 990855 
 
 44 
 
 316795 
 
 1058 
 
 683205 
 
 17 
 
 44 
 
 308259 
 
 1013 
 
 990829 
 
 44 
 
 317430 
 
 1057 
 
 682570 
 
 16 
 
 45 
 
 308867 
 
 1011 
 
 990803 
 
 44 
 
 318064 
 
 1055 
 
 681936 
 
 15 
 
 46 
 
 309474 
 
 i-nq 
 
 990777 44 
 
 318697 
 
 1054 
 
 681303 
 
 14 
 
 47 
 
 310080 
 
 1008 
 
 990750 44 
 
 319329 
 
 1053 
 
 680671 
 
 13 
 
 48 
 
 310635 
 
 1007 
 
 990724 44 
 
 319961 
 
 1051 
 
 680039 
 
 12 
 
 49 
 
 311289 
 
 1005 
 
 990697 44 
 
 320592 
 
 1050 
 
 679408 
 
 11 
 
 50 
 
 311S93 
 
 1004 
 
 990671; 44 
 
 3212221 1048 
 
 678778 
 
 10 
 
 51 
 
 9.312495 
 
 1003 
 
 9.990644 44 
 
 9.321851 1047 
 
 10.678149 
 
 9 
 
 52 
 
 313097 
 
 1001 
 
 990618 44 
 
 322479 1045 
 
 677521 
 
 8 
 
 53 
 
 313698 
 
 1000 
 
 990591 44 
 
 323106 1044 
 
 676894 
 
 7 
 
 54 
 
 314297 
 
 998 
 
 990565 44 1 323733 1043 
 
 676267 
 
 G 
 
 55 
 
 314897 
 
 997 
 
 990538 44 324358 1041 
 
 675642 
 
 5 
 
 5G 
 
 315495 
 
 996 
 
 990511 45 324983 1040 
 
 675017 
 
 4 
 
 57 
 
 31 6092 ! 994 | 990485 45 ! 325607 1039 
 
 674393 
 
 3 
 
 58 
 
 316689 1 993 990458 45 326231 1037 ! 673769 
 
 2 
 
 59 
 
 317284 991 99043145 326853 1036 i 673147 
 
 
 60 317879 990 990404 45 327475 1035 672525 
 
 Q 
 
 Cosine 1 ' Sine | Cotan-i. Tang. 
 
 
 3* 
 
 78 Degrees. 
 
30 
 
 (I 2 Degrees.) A TABLE OF LOGARITHMIC 
 
 M, | Sine D. | Cosine | D. 
 
 Tang. 
 
 D. Cotang. 
 
 
 
 
 9.317879 
 
 990 
 
 9.990404 
 
 45 
 
 9.327474 
 
 1035 
 
 10.672526 
 
 60 
 
 1 
 
 318473 
 
 988 
 
 990378 
 
 45 
 
 328095 
 
 1033 
 
 671905 
 
 59 
 
 2 
 
 319066 
 
 987 
 
 990351 
 
 45 
 
 328715 
 
 1032 
 
 671285 
 
 58 
 
 3 
 
 319658 
 
 986 
 
 990324 
 
 45 
 
 329334 
 
 1030 
 
 670666 
 
 57 
 
 4 
 
 320249 
 
 984 
 
 990297 
 
 45 
 
 329953 
 
 1029 
 
 670047 
 
 56 
 
 5 
 
 320840 
 
 983 
 
 990270 
 
 45 
 
 330570 
 
 1028 
 
 669430 
 
 55 
 
 6 
 
 321430 
 
 982 
 
 990243 
 
 45 
 
 331187 
 
 1026 
 
 668813 
 
 54 
 
 7 
 
 3122019 
 
 980 
 
 990215 
 
 45 
 
 331803 
 
 1025 
 
 668197 
 
 53 
 
 8 
 
 322607 
 
 979 
 
 990188 
 
 45 
 
 332418 
 
 1024 
 
 667582 
 
 52 
 
 9 
 
 323194 
 
 977 
 
 990161 
 
 45 
 
 333033 
 
 1023 
 
 666967 
 
 51 
 
 10 
 
 323780 
 
 976 
 
 990134 
 
 45 
 
 333646 
 
 1021 
 
 666354 
 
 50 
 
 11 
 
 9.324366 
 
 975 
 
 9.990107 
 
 46 
 
 9.334259 
 
 1020 
 
 10.665741 
 
 49 
 
 12 
 
 324950 
 
 973 
 
 990079 
 
 46 
 
 334871 
 
 1019 
 
 665129 
 
 48 
 
 13 
 
 325534 
 
 972 
 
 990052 
 
 46 
 
 335482 
 
 1017 
 
 664518 
 
 47 
 
 14 
 
 326117 
 
 970 
 
 990025 
 
 46 
 
 336093 
 
 10 J 6 
 
 663907 
 
 46 
 
 15 
 
 326700 
 
 965) 
 
 98U997 
 
 46 
 
 336702 
 
 1015 
 
 663298 
 
 45 
 
 16 
 
 327281 
 
 968 
 
 989970 
 
 46 
 
 337311 
 
 1013 
 
 662689 
 
 44 
 
 17 
 
 327862 
 
 966 
 
 989942 
 
 46 
 
 337919 
 
 1012 
 
 662081 
 
 43 
 
 18 
 
 328442 
 
 965 
 
 ' 989915 
 
 46 
 
 338527 
 
 1011 
 
 661473 
 
 42 
 
 19 
 
 329021 
 
 964 
 
 989887 
 
 46 
 
 339133 
 
 1010 
 
 660867 
 
 41 
 
 20 
 
 329599 
 
 962 
 
 989860 
 
 46 
 
 339739 
 
 1008 
 
 G60261 
 
 40 
 
 21 
 
 9.330176 
 
 .961 
 
 9.989832 
 
 46 
 
 9.340344 
 
 1007 
 
 10.659656 
 
 39 
 
 22 
 
 330753 
 
 960 
 
 989804 
 
 46 
 
 340948 
 
 1006 
 
 659052 
 
 38 
 
 23 
 
 331329 
 
 958 
 
 989777 
 
 46 
 
 341552 
 
 1004 
 
 658448 
 
 37 
 
 24 
 
 331903' 
 
 957 
 
 989749 
 
 47 
 
 342155 
 
 1003 
 
 657845 
 
 36 
 
 25 
 
 332478J 956 
 
 989721 
 
 47 
 
 342757 
 
 1002 
 
 657243 
 
 35 
 
 26 
 
 333051 
 
 954 
 
 989693 
 
 47 
 
 343358 
 
 1000 
 
 656642 
 
 34 
 
 27 
 
 333624 
 
 953 
 
 989665 
 
 47 
 
 343958 
 
 999 
 
 658042 
 
 33 
 
 28 
 
 334195 
 
 952 
 
 989637 
 
 47 
 
 344558 
 
 998 
 
 655442 
 
 32 
 
 29 
 
 334766 
 
 950 
 
 989609 
 
 47 
 
 345157 
 
 997 
 
 654843 
 
 31 
 
 30 
 
 335337 
 
 949 
 
 989582 
 
 47 
 
 345755 
 
 996 
 
 654245 
 
 30 
 
 31 
 
 9.335906! 948 
 
 9.989553 47 
 
 9.346353 
 
 994 
 
 JO. 653647 
 
 29 
 
 32 
 
 33647 5 i 946 
 
 989525 
 
 47 
 
 346949 
 
 993 
 
 653051 
 
 28 
 
 33 
 
 337043 945 
 
 989497 
 
 47 
 
 347545 
 
 992 
 
 652455 
 
 27 
 
 34 
 
 3376] 0! 944 
 
 989469 
 
 47 
 
 34814.1 
 
 991 
 
 651859 
 
 26 
 
 35 
 
 338176 
 
 943 
 
 989441 
 
 47 
 
 348735 
 
 990 
 
 651265 
 
 25 
 
 36 
 
 338742 
 
 941 
 
 989413 47 
 
 349329 
 
 988 
 
 6.50671 
 
 24 
 
 37 
 
 339306 940 
 
 989384 
 
 47 
 
 349922 
 
 987 
 
 650078 
 
 23 
 
 38 
 
 339871 939 
 
 989356 
 
 47 
 
 350514 
 
 986 
 
 649486 
 
 22 
 
 39 
 
 340434 937 
 
 989328 
 
 47 
 
 351106 
 
 985 
 
 64*894 
 
 21 
 
 40 
 
 340996 936 
 
 989300 
 
 47 
 
 351697 
 
 983 
 
 648303 
 
 20 
 
 41 
 
 9. 34 j 558 
 
 935 
 
 9.989271 
 
 47 
 
 9.352287 
 
 982 
 
 10.647713 
 
 19 
 
 42 
 
 342119 
 
 934 
 
 989243 
 
 47 
 
 352876 
 
 981 
 
 647124 
 
 18 
 
 43 
 
 3426791 932 
 
 989214 
 
 47 
 
 353465 
 
 980 
 
 646535 
 
 17 
 
 44 
 
 3432391 931 
 
 989186 
 
 47 
 
 354053 
 
 979 
 
 645947 
 
 16 
 
 45 
 
 3437971 930 
 
 989157 
 
 47 
 
 354640 
 
 977 
 
 645360 
 
 15 
 
 46 
 
 344355J 929 
 
 989128 
 
 48 
 
 355227 
 
 976 
 
 644773 
 
 14 
 
 47 
 
 344912! 927 
 
 989100 
 
 48 
 
 355813 
 
 975 
 
 644187 
 
 13 
 
 48 
 
 345469! 926 
 
 989071 
 
 48 
 
 356398 
 
 974 
 
 643602 
 
 12 
 
 49 
 
 3460241 925 
 
 989042 
 
 48 
 
 356982 
 
 973 
 
 643018 
 
 11 
 
 50 
 
 346579; 924 
 
 989014 
 
 48 
 
 357566 
 
 971 
 
 642434 
 
 lO 
 
 51 
 
 9. 3471 34 1 922 
 
 9.988985 
 
 48 
 
 9.358149 
 
 970 
 
 io764l851 
 
 9 
 
 52 
 
 3476871 921 
 
 988956 
 
 48 
 
 358731 
 
 969 
 
 641269 
 
 8 
 
 53 
 
 3482401 920 
 
 988927 
 
 48 
 
 359313 
 
 968 
 
 640687 
 
 7 
 
 54 
 
 3487921 919 
 
 988898 
 
 48 
 
 359893 
 
 967 
 
 640107 
 
 6 
 
 55 
 
 349343 
 
 917 
 
 988869 48 
 
 360474 
 
 966 
 
 639526 
 
 5 
 
 56 
 
 349893 
 
 916 
 
 988840 48 
 
 361053 
 
 965 
 
 638947 
 
 4 
 
 57 
 
 350443 
 
 915 
 
 988811 49 
 
 361632 
 
 963 
 
 638368 
 
 3 
 
 58 
 
 350992 
 
 914 
 
 9887821 49 
 
 362210 
 
 962 
 
 637790 
 
 2 
 
 59 
 
 351540 
 
 913 
 
 988753 49 
 
 362787 
 
 961 
 
 637213 
 
 ] 
 
 60 
 
 352088 
 
 911 
 
 988724! 49 
 
 363364 
 
 960 
 
 63663C 
 
 
 
 Cosine 
 
 | Sine 
 
 Cutang. | Tang M. 
 
 77 Degrees 
 
SINES AND TANGENTS. ^13 Degrees.) 
 
 31 
 
 M.| Sine | D. 
 
 Cosine | D. | Tang. | D. | Cotang. 
 
 
 
 
 9.352088 
 
 911 
 
 9.988724 
 
 49 
 
 9.363364 
 
 960 
 
 10.636636 
 
 60 
 
 1 
 
 352635 
 
 910 
 
 988695 
 
 49 
 
 363940 
 
 959 
 
 636060 
 
 59 
 
 2 
 
 353181 
 
 909 
 
 988666 
 
 49 
 
 364515- 
 
 958 
 
 635435 
 
 58 
 
 3 
 
 353726 
 
 908 
 
 988636 
 
 49 
 
 365090 
 
 957 
 
 634910 
 
 57 
 
 4 
 
 354271 
 
 907 
 
 988607 
 
 49 
 
 365664 
 
 955 
 
 634336 
 
 56 
 
 5 
 
 354815 
 
 905 
 
 988578 
 
 49 
 
 366237 
 
 954 
 
 633763 
 
 55 
 
 6 
 
 355358 
 
 904 
 
 988548 
 
 49 
 
 366810 
 
 953 
 
 633190 
 
 54 
 
 7 
 
 355901 
 
 903 
 
 988519 
 
 49 
 
 367382 
 
 952 
 
 632618 
 
 53 
 
 8 
 
 356443 
 
 902 
 
 988489 
 
 49 
 
 367953 
 
 951 
 
 632047 
 
 52 
 
 9 
 
 356984 
 
 901 
 
 988460 
 
 49 
 
 368524 
 
 950 
 
 631476 
 
 51 
 
 10 
 
 '357524 
 
 899 
 
 988430 
 
 49 
 
 369094 
 
 949 
 
 630906 
 
 50 
 
 11 
 
 9.358064 
 
 898 
 
 9.988401 
 
 49 
 
 9.369663 
 
 948 
 
 10.630337 
 
 49 
 
 12 
 
 358603 
 
 897 
 
 988371 
 
 49 
 
 370232 
 
 946 
 
 629768 
 
 48 
 
 13 
 
 359141 
 
 896 
 
 988342 
 
 49 
 
 370799 
 
 945 
 
 629201 
 
 47 
 
 14 
 
 359678 
 
 895 
 
 988312 
 
 50 
 
 371367 
 
 944 
 
 628633 
 
 46 
 
 15 
 
 360215 
 
 893 
 
 988282 
 
 50 
 
 371933 
 
 943 
 
 628067 
 
 45 
 
 16 
 
 360752 
 
 892 
 
 988252 
 
 50 
 
 372499 
 
 942 
 
 627501 
 
 44 
 
 17 
 
 361287 
 
 891 
 
 988223 
 
 50 
 
 373064 
 
 941 
 
 626936 
 
 43 
 
 18 
 
 361822 
 
 890 
 
 988193 
 
 50 
 
 373629 
 
 940 
 
 626371 
 
 42 
 
 19 
 
 362356 
 
 889 
 
 988163 
 
 50 
 
 374193 
 
 939 
 
 625807 
 
 41 
 
 20 
 
 362889 
 
 888 
 
 988133 
 
 50 
 
 374756 
 
 938 
 
 625244 
 
 40 
 
 21 
 
 9.363422 
 
 887 
 
 9.988103 
 
 50" 
 
 9.375319 
 
 937 
 
 10.624681 
 
 39 
 
 22 
 
 363954 
 
 885 
 
 988073 
 
 50 
 
 375881 
 
 935 
 
 624119 
 
 38 
 
 23 
 
 364485 
 
 884 
 
 983043 
 
 50 
 
 376442 
 
 934 
 
 623558 
 
 37 
 
 24 
 
 365016 
 
 883 
 
 938013 
 
 50 
 
 377003 
 
 933 
 
 622997 
 
 36 
 
 25 
 
 365546 
 
 882 
 
 987983 
 
 50 
 
 377563 
 
 932 
 
 622437 
 
 35 
 
 26 
 
 366975 
 
 881 
 
 987953 
 
 50 
 
 378122 
 
 931 
 
 621878 
 
 34 
 
 27 
 
 366604 
 
 880 
 
 987922 
 
 50 
 
 378681 
 
 930 
 
 621319 
 
 33 
 
 28 
 
 367131 
 
 879 
 
 987892 
 
 50 
 
 379239 
 
 929 
 
 620761 
 
 32 
 
 29 
 
 367659 
 
 877 
 
 987862 
 
 50 
 
 379797 
 
 928 
 
 620203 
 
 31 
 
 30 
 
 368185 
 
 876 
 
 987832 
 
 51 
 
 380354 
 
 927 
 
 619646 
 
 30 
 
 31 
 
 9.368711 
 
 875 
 
 9.987801 
 
 51 
 
 9.380910 
 
 926 
 
 W.6 1 9090 
 
 29 
 
 32 
 
 369236 
 
 874 
 
 987771 
 
 51 
 
 381466 
 
 925 
 
 618534 
 
 28 
 
 33 
 
 369761 
 
 873 
 
 987740 
 
 51 
 
 332020 
 
 924 
 
 617980 
 
 27 
 
 34 
 
 370285 
 
 872 
 
 987710 
 
 51 
 
 332575 
 
 923 
 
 617425 
 
 26 
 
 35 
 
 370803 
 
 871 
 
 987679 
 
 51 
 
 383129 
 
 922 
 
 616871 
 
 25 
 
 36 
 
 371330 
 
 870 
 
 987649 
 
 51 
 
 383682 
 
 921 
 
 616318 
 
 24 
 
 37 
 
 371852 
 
 869 
 
 987618 
 
 51 
 
 334234 
 
 920 
 
 615766 
 
 23 
 
 38 
 
 372373 
 
 867 
 
 987538 
 
 51 
 
 384786 
 
 919 
 
 615214 
 
 22 
 
 39 
 
 372894 
 
 866 
 
 987557 
 
 51 
 
 385337 
 
 918 
 
 614663 
 
 21 
 
 40 
 
 373414 
 
 865 
 
 987526 
 
 51 
 
 335888 
 
 917 
 
 614112 
 
 20 
 
 41 
 
 9.373933 
 
 864 
 
 9.987496 
 
 51 
 
 9.386438 
 
 915 
 
 10.613562 
 
 19 
 
 42 
 
 374452 
 
 863 
 
 987465 
 
 51 
 
 38698 7 
 
 914 
 
 613013 
 
 18 
 
 43 
 
 374970 
 
 862 
 
 987434 
 
 51 
 
 337536 
 
 913 
 
 612464 
 
 17 
 
 44 
 
 375487 
 
 861 
 
 937403 
 
 52 
 
 388084 
 
 912 
 
 611916 
 
 16 
 
 45 
 
 376003 
 
 860 
 
 937372 
 
 52 
 
 338631 
 
 911 
 
 611369 
 
 15 
 
 46 
 
 376519 
 
 859 
 
 987341 
 
 52 
 
 389178 
 
 910 
 
 610822 
 
 14 
 
 47 
 
 377035 
 
 858 
 
 997310 
 
 52 
 
 389724 
 
 909 
 
 610276 
 
 13 
 
 48 
 
 377549 
 
 857 
 
 937279 
 
 52 
 
 390270 
 
 908 
 
 609730 
 
 12 
 
 49 
 
 378063 
 
 856 
 
 987248 
 
 52 
 
 390815 
 
 907 
 
 609185 
 
 11 
 
 50 
 
 378577 
 
 854 
 
 987217 
 
 52 
 
 391360 
 
 906 
 
 603640 
 
 10 
 
 51 
 
 9.379089 
 
 853 
 
 9.987186 
 
 52 
 
 9.391903 
 
 905 
 
 10.608097 
 
 9 
 
 52 
 
 379601 
 
 852 
 
 987155 
 
 52 
 
 392447 
 
 904 
 
 607553 
 
 8 
 
 53' 
 
 380113 851 
 
 987124 
 
 52 
 
 392989 
 
 903 
 
 607011 
 
 7 
 
 54 
 
 380624J 850 
 
 987092 
 
 52 
 
 393531 
 
 902 
 
 606469 
 
 6 
 
 55 
 
 381134 849 
 
 987061 
 
 52 
 
 394073 
 
 901 
 
 605927 
 
 5 
 
 56 
 
 381643 
 
 848 
 
 987030 
 
 52 
 
 394614 
 
 900 
 
 605386 
 
 4 
 
 57 
 
 382152 
 
 847 
 
 986993 
 
 52 
 
 395154 
 
 899 
 
 604846 
 
 3 
 
 58 
 
 382661 
 
 846 
 
 986967 
 
 52 
 
 395694 
 
 893 
 
 604306 
 
 2 
 
 59 
 
 383168 
 
 845 
 
 9S6936 
 
 52 
 
 396233 
 
 897 
 
 603767 
 
 1 
 
 60 
 
 383675 
 
 844 
 
 986904 
 
 52 
 
 396771 
 
 896 
 
 603229 
 
 
 
 | Cosine Sine I 
 
 Cotang. I 
 
 Tang. 
 
 M. 
 
 76 Degrees. 
 
(14 Degrees.; A TABLE OF LOGARITHMIC 
 
 M. 
 
 Sine 
 
 P. | Cosine D. | Tang. | D. Cotang. 
 
 
 
 9.383675 
 
 844 
 
 9.986904 
 
 52 
 
 9.396771 
 
 896 
 
 10.603229 
 
 60 
 
 1 
 
 384182 
 
 843 
 
 986873 
 
 53 
 
 397309 
 
 896 
 
 602691 
 
 59 
 
 2 
 
 384687 
 
 842 
 
 986841 
 
 53 
 
 397846 
 
 895 
 
 602154 
 
 58 
 
 3 
 
 385192 
 
 841 
 
 986809 
 
 53 
 
 398383 
 
 894 
 
 601617 
 
 57 
 
 4 
 
 385697 
 
 840 
 
 986778 
 
 53 
 
 398919 
 
 893 
 
 601081 
 
 56 
 
 5 
 
 386201 
 
 839 
 
 986746 
 
 53 
 
 399455 
 
 892 
 
 600545 
 
 55 
 
 6 
 
 386704 
 
 838 
 
 986714 
 
 53 
 
 399990 
 
 891 
 
 600010 
 
 54 
 
 7 
 
 387207 
 
 837 
 
 936683 
 
 53 
 
 400524 
 
 890 
 
 599476 
 
 53 
 
 8 
 
 387709 
 
 836 
 
 986651 
 
 53 
 
 401058 
 
 889 
 
 598942 
 
 52 
 
 9 
 
 388210 
 
 835 
 
 986619 
 
 53 
 
 401591 
 
 888 
 
 598409 
 
 51 
 
 10 
 
 388711 
 
 834 
 
 986587 
 
 53 
 
 402124 
 
 887 
 
 597876 
 
 50 
 
 11 
 
 9.389211 
 
 833 
 
 9.986555 
 
 53 
 
 9.402656 
 
 886 
 
 10.597344 
 
 49 
 
 12 
 
 389711 
 
 832 
 
 986523 
 
 53 
 
 1 403187 
 
 885 
 
 596813 
 
 48 
 
 13 
 
 390210 
 
 831 
 
 986491 
 
 53 
 
 403718 
 
 884 
 
 596282 
 
 47 
 
 14 
 
 390708 830 
 
 986459 
 
 53 
 
 404249 
 
 883 
 
 595751 
 
 46 
 
 15 
 
 . 391206 828 
 
 986427 
 
 53 
 
 404778 
 
 882 
 
 595222 
 
 45 
 
 16 
 
 391703 
 
 827 
 
 986395 
 
 53 
 
 405308 
 
 881 
 
 594692 
 
 44 
 
 17 
 
 392199 
 
 826 
 
 986363 
 
 54 
 
 405836 
 
 880 
 
 594164 
 
 43 
 
 18 
 
 392695 
 
 825 
 
 986331 
 
 54 
 
 406364 
 
 879 
 
 593636 
 
 42 
 
 19 
 
 393191 824 
 
 986299 
 
 54 
 
 406892 
 
 878 
 
 593108 
 
 41 
 
 20 
 
 393685 
 
 823 
 
 986266 
 
 54 
 
 407419 
 
 877 
 
 592581 
 
 40 
 
 21 
 
 9.394179 
 
 822 
 
 9.986234 
 
 54 
 
 9.407945 
 
 876 
 
 10.592055 
 
 39 
 
 22 
 
 394673 
 
 821 
 
 986202 
 
 54 
 
 408471 
 
 875 
 
 591529 
 
 38 
 
 23 
 
 3951661 820 
 
 986169 
 
 54 
 
 408997 
 
 874 
 
 591003 
 
 37 
 
 24 
 
 395658 
 
 819 
 
 986137 
 
 54 
 
 409521 
 
 874 
 
 590479 
 
 36 
 
 25 
 
 396150 
 
 818 
 
 986104 
 
 54 
 
 410045 
 
 873 
 
 589955 
 
 35 
 
 26 
 
 396641 
 
 817 
 
 986072 
 
 54 
 
 410569 
 
 872 
 
 589431 
 
 34 
 
 27 
 
 397132 
 
 817 
 
 986039 
 
 54 
 
 411092 
 
 871 
 
 588908 
 
 33 
 
 28 
 
 397621 
 
 816 
 
 986007 
 
 54 
 
 411615 
 
 870 
 
 588385 
 
 32 
 
 29 
 
 398111 
 
 815 
 
 985974 
 
 54 
 
 412137 
 
 869 
 
 587863 
 
 31 
 
 30 
 
 398600 
 
 814 
 
 985942 
 
 54 
 
 412658 
 
 868 
 
 587342 
 
 30 
 
 31 
 
 9.399088 
 
 813 
 
 9.985909 
 
 55 
 
 9.413179 
 
 867 
 
 10.586821 
 
 29 
 
 32 
 
 399575 
 
 812 
 
 985876 
 
 55 
 
 413699 
 
 866 
 
 586301 
 
 28 
 
 33 
 
 400062 
 
 811 
 
 985843 
 
 55 
 
 414219 
 
 865 
 
 585781 
 
 27 
 
 34 
 
 400549 
 
 810 
 
 985811 
 
 55 
 
 414738 
 
 864 
 
 585262 
 
 26 
 
 35 
 
 401035 
 
 809 
 
 985778 
 
 55 
 
 415257 
 
 864 
 
 584743 
 
 25 
 
 36 
 
 401520 
 
 808 
 
 985745 
 
 55 
 
 415775 
 
 863 
 
 584225 
 
 24 
 
 37 
 
 402005 
 
 807 
 
 985712 
 
 55 
 
 416293 
 
 862 
 
 583707 
 
 23 
 
 38 
 
 402489 
 
 806 
 
 98567G 
 
 55 
 
 416810 
 
 861 
 
 583190 
 
 22 
 
 33 
 
 402972 
 
 805 
 
 985646 
 
 55 
 
 417326 
 
 860 
 
 582674 
 
 21 
 
 40 
 
 403455 
 
 804 
 
 985613 
 
 55 
 
 417842 
 
 859 
 
 582158 
 
 20 
 
 41 
 
 9.403938 
 
 803 
 
 9.985580 
 
 55 
 
 9.418358 
 
 858 
 
 10.581642 
 
 19 
 
 42 
 
 404420 
 
 802 
 
 985547 
 
 55 
 
 418873 
 
 857 
 
 581127 
 
 18 
 
 43 
 
 404901 
 
 801 
 
 985514 
 
 55 
 
 419387 
 
 856 
 
 580613 
 
 17 
 
 44 
 
 405382 
 
 800 
 
 985480 
 
 55 
 
 419901 
 
 855 
 
 580099 
 
 16 
 
 45 
 
 405862 
 
 799 
 
 985447 
 
 55 
 
 420415 
 
 855 
 
 579585 
 
 15 
 
 46 
 
 406341 
 
 798 
 
 985414 
 
 56 
 
 420927 
 
 854 
 
 579073 
 
 14 
 
 47 
 
 406820 
 
 797 
 
 985380 
 
 56 
 
 421440 
 
 853 
 
 578560 
 
 13 
 
 48 
 
 407299 
 
 796 
 
 985347 
 
 56 
 
 421952 
 
 852 
 
 578048 
 
 12 
 
 49 
 
 407777 
 
 795 
 
 985314 
 
 56 
 
 422463 
 
 851 
 
 577537 
 
 11 
 
 50 
 
 408254 
 
 794 
 
 985280 
 
 56 
 
 422974 
 
 850 
 
 577026 
 
 10 
 
 51 
 
 9.4087311 794 
 
 9.985247 
 
 56 
 
 9.423484 
 
 849 
 
 10.576516 
 
 9 
 
 52 
 
 409207 
 
 793 
 
 985213 
 
 56 
 
 423993 
 
 848 
 
 576007 
 
 8 
 
 53 
 
 409682 
 
 792 
 
 985180 
 
 56 
 
 424503 
 
 848 
 
 575497 
 
 7 
 
 54 
 
 4101571 791 
 
 985146 
 
 56 
 
 425011 
 
 847 
 
 574989 
 
 6 
 
 55 
 
 410632 790 
 
 985113 
 
 56 
 
 425519 
 
 846 
 
 574481 
 
 5 
 
 56 
 
 411106 789 
 
 985079 
 
 56 
 
 426027 
 
 845 
 
 573973 
 
 4 
 
 57 
 
 411579 788 
 
 985045 
 
 56 
 
 426534 
 
 844 
 
 573466 
 
 3 
 
 58 
 
 412052i 787 
 
 985011 
 
 56 
 
 427041 843 
 
 572959 
 
 2 
 
 59 
 
 412524 
 
 786 
 
 984978 
 
 56 
 
 427547 
 
 843 
 
 572453 
 
 1 
 
 60 
 
 412996 
 
 785 
 
 984944 
 
 56 
 
 428052 
 
 842 
 
 571948 
 
 
 
 
 Cof-ine 
 
 
 Sine 
 
 j Co.mig. | 
 
 Tang 
 
 M. 
 
 75 Degrees. 
 
SINES AND TANGENTS. (15 Degrees.) 
 
 33 
 
 RL| Sine | D. 
 
 Cosine D. Tang. | D. | Cotana. j 
 
 
 
 9.412996 
 
 785 
 
 9 . 984944 
 
 5V 
 
 9.428052 
 
 842 
 
 10.571948 
 
 bO 
 
 1 
 
 413467 
 
 784 
 
 984910 
 
 57 
 
 428557 
 
 841 
 
 571443 
 
 59 
 
 a. 
 
 413938 
 
 783 
 
 984876 
 
 57 
 
 429062 
 
 840 
 
 570938 
 
 58 
 
 3 
 
 414408 
 
 783 
 
 984842 
 
 57 
 
 429566 
 
 839 
 
 570434 57 
 
 4 
 
 414878 
 
 782 
 
 984808 
 
 57 
 
 430070 
 
 838 
 
 569930 
 
 56 
 
 5 
 
 415347 
 
 781 
 
 984774 
 
 57 
 
 430573 
 
 838 
 
 569427 
 
 55 
 
 6 
 
 415815 
 
 780 
 
 984740 
 
 57 
 
 431075 
 
 837 
 
 568925 
 
 54 
 
 7 
 
 416283 
 
 779 
 
 9S4706 
 
 57 
 
 431577 
 
 836 
 
 568423 
 
 53 
 
 8 
 
 416751 
 
 778 
 
 984672 
 
 57 
 
 432079 
 
 835 
 
 567921 
 
 52 
 
 9 
 
 417217 
 
 777 
 
 984637 
 
 57 
 
 432580 
 
 834 
 
 567420 
 
 51 
 
 10 
 
 417684 
 
 770 
 
 984603 
 
 57 
 
 4330SO 
 
 833 
 
 566920 
 
 50 
 
 11 
 
 9.418150 
 
 775 
 
 9.984569ff? 
 
 9.433580 832 
 
 10:566420 
 
 49 
 
 12 
 
 418615 
 
 774 
 
 984535157 
 
 434080 
 
 832 
 
 565920 
 
 48 
 
 13 
 
 419079 
 
 773 
 
 984500 
 
 57 
 
 434579 
 
 831 
 
 565421 
 
 47 
 
 14 
 
 419544 
 
 773 
 
 984466 
 
 57 
 
 435078 
 
 830 
 
 564922 
 
 46 
 
 15 
 
 420007 
 
 772 
 
 984432 
 
 58 
 
 435576 
 
 829 
 
 564424 
 
 45 
 
 16 
 
 420470 
 
 771 
 
 984397 
 
 58 
 
 436073 
 
 828 
 
 563927 
 
 44 
 
 17 
 
 420933 
 
 770 
 
 984363 
 
 58 
 
 436570 
 
 828 
 
 563430 
 
 43 
 
 18 
 
 421395 
 
 769 
 
 984328 
 
 58 
 
 437067 
 
 827 
 
 562933 
 
 42 
 
 19 
 
 421857 
 
 768 
 
 984294 
 
 58 
 
 437563 
 
 826 
 
 562437 
 
 41 
 
 20 
 
 422318 
 
 767 
 
 984259 
 
 58 
 
 438059 
 
 825 
 
 561941 
 
 40 
 
 21 
 
 9 422778 
 
 767 
 
 9.984224 
 
 58 
 
 9.438554 
 
 824 
 
 10.561446 
 
 39 
 
 22 
 
 423238 
 
 766 
 
 984190 
 
 58 
 
 439048 
 
 823 
 
 560952 
 
 38 
 
 23 
 
 423697 
 
 765 
 
 984155 
 
 58 
 
 439543 
 
 823 
 
 560457 
 
 37 
 
 24 
 
 424156 
 
 764 
 
 984120 
 
 58 
 
 440036 
 
 822 
 
 559964 
 
 36 
 
 25 
 
 424615 
 
 763 
 
 984085 
 
 58 
 
 440529 
 
 821 
 
 559471 
 
 35 
 
 26 
 
 425073 
 
 762 
 
 984050 
 
 58 
 
 441022 
 
 820 
 
 558978 
 
 34 
 
 27 
 
 425530 
 
 761 
 
 984015 
 
 58 
 
 441514 
 
 819 
 
 558486 
 
 33 
 
 28 
 
 425987 
 
 760 
 
 983981 
 
 58 
 
 442006 
 
 819 
 
 557994 
 
 32 
 
 29 
 
 426443 
 
 760 
 
 983946 
 
 58 
 
 442497 
 
 818 
 
 557503 
 
 31 
 
 30 
 
 426899 
 
 759 
 
 983911 
 
 58 
 
 442988 
 
 817 
 
 557012 
 
 30 
 
 31 
 
 9.427354 
 
 758 
 
 9.983875 
 
 58 
 
 9.443479 
 
 816 
 
 10.556521 
 
 29 
 
 32 
 
 427809 
 
 757 
 
 983840 
 
 59 
 
 443968 
 
 816 
 
 556032 
 
 28 
 
 33 
 
 428263 
 
 756 
 
 983805 
 
 59 
 
 444458 
 
 815 
 
 555542 
 
 27 
 
 34 
 
 428717 
 
 755 
 
 98377K) 
 
 59 
 
 444947 
 
 814 
 
 555053 
 
 26 
 
 35 
 
 429170 
 
 754 
 
 983735 
 
 59 
 
 445435 
 
 813 
 
 554565 
 
 25 
 
 36 
 
 429623 
 
 753 
 
 983700J 59 
 
 445923 
 
 812 
 
 554077 
 
 24 
 
 37 
 
 430075 
 
 752 
 
 983664 
 
 59 
 
 44641 1 
 
 812 
 
 553589 
 
 23 
 
 38 
 
 430527 
 
 752 
 
 983629 
 
 59 
 
 446898 
 
 811 
 
 553102 
 
 22 
 
 39 
 
 430978 
 
 751 
 
 983594 
 
 59 
 
 447384 
 
 810 
 
 552616 
 
 21 
 
 40 
 
 431429 
 
 750 
 
 983558 
 
 59 
 
 447870 
 
 809 
 
 552130 
 
 20 
 
 41 
 
 9.431879 
 
 749 
 
 9.983523 
 
 59 
 
 9.448356 
 
 809 
 
 10.551644 
 
 19 
 
 42 
 
 432329 
 
 749 
 
 983487 
 
 59 
 
 448841 
 
 808 
 
 551159 
 
 18 
 
 43 
 
 432778 
 
 748 
 
 983452 
 
 59 
 
 449326 
 
 807 
 
 550674 
 
 17 
 
 44 
 
 433226 
 
 747 
 
 983416 
 
 59 
 
 449810 
 
 806 
 
 550190 
 
 16 
 
 45 
 
 433675 
 
 746 
 
 983381 
 
 59 
 
 450294 
 
 806 
 
 549706 
 
 15 
 
 46 
 
 434122 
 
 745 
 
 983345 
 
 59 
 
 450777 
 
 805 
 
 549223 
 
 14 
 
 47 
 
 434569 
 
 744 
 
 983309 
 
 59 
 
 451260 
 
 804 
 
 548740 
 
 13 
 
 48 
 
 435016 
 
 744 
 
 983273 
 
 60 
 
 451743 
 
 803 
 
 548257 
 
 12 
 
 49 
 
 435462 
 
 743 
 
 983238 
 
 60 
 
 452225 
 
 802 
 
 547775 
 
 11 
 
 50 
 
 435908 
 
 742 
 
 983202 
 
 60 
 
 452706 
 
 802 
 
 547294 
 
 10 
 
 51 
 
 9.436353 
 
 741 
 
 9.983166 
 
 60 
 
 9.453187 
 
 801 
 
 10.546813 
 
 9 
 
 52 
 
 436798 
 
 740 
 
 983130 
 
 60 
 
 453668 
 
 800 
 
 546332 
 
 8 
 
 53 
 
 437242 
 
 740 
 
 983094 
 
 60 
 
 454148 
 
 799 
 
 545852 
 
 7 
 
 54 
 
 437686 
 
 739 
 
 983058 
 
 60 
 
 454628 
 
 799 
 
 545372 
 
 6 
 
 55 
 
 438129 
 
 738 
 
 983022 
 
 60 
 
 455107 
 
 798 
 
 544893 
 
 5 
 
 56 
 
 438572 
 
 737 
 
 982986 
 
 60 
 
 455586 
 
 797 
 
 544414 
 
 4 
 
 57 
 
 439014 
 
 736 
 
 982950 
 
 60 
 
 456064 
 
 796 
 
 543936 
 
 3 
 
 58 
 
 439456 
 
 736 
 
 982914 
 
 60 
 
 456542 
 
 796 
 
 543458 
 
 2 
 
 59 
 
 439897 
 
 735 
 
 982878! 60 
 
 457019 
 
 795 
 
 542981 
 
 1 
 
 60 
 
 440338 
 
 734 
 
 982842! 60 
 
 457496 
 
 794 
 
 542504 
 
 
 
 
 Cosine 
 
 Sine | 
 
 Cotang. | | Tang. | M. 
 
 74 Degrees. 
 
34 
 
 (16 Degrees.) A TABLE OF LOGARITHMIC 
 
 M. Sine D. Cosine | D. Tang. | D. 
 
 Cotang. 
 
 
 
 
 9.440338 
 
 734 
 
 9.982842 
 
 60 I 9.457496 
 
 794 
 
 10.542504 
 
 60 
 
 1 
 
 440778 
 
 733 
 
 982805 
 
 60 457973 
 
 793 
 
 542027 
 
 59 
 
 2 
 
 441218 
 
 732 
 
 982769 
 
 61 45449 
 
 793 
 
 541551 
 
 58 
 
 3 
 
 441658 
 
 731 
 
 982733 
 
 61 458925 
 
 792 
 
 541075 
 
 57 
 
 4 
 
 442096 
 
 731 
 
 982696 
 
 61 459400 
 
 791 
 
 540600 
 
 56 
 
 5 
 
 442535 
 
 730 
 
 982660 
 
 61 459875 
 
 790 
 
 540125 
 
 55 
 
 6 
 
 442973 
 
 729 
 
 982624 
 
 61 460349 
 
 790 
 
 539651 
 
 54 
 
 7 
 
 443410 
 
 728 
 
 982587 
 
 61 460323 
 
 789 
 
 539177 
 
 53 
 
 8 
 
 443847 
 
 727 
 
 982551 
 
 61 461297 
 
 788 
 
 538703 
 
 52 
 
 9 
 
 444284 
 
 727 
 
 982514 
 
 61 461770 
 
 788 
 
 538230 
 
 fl 
 
 10 
 
 444720 
 
 726 
 
 982477 
 
 61 | 462242 
 
 787 
 
 537758 
 
 50 
 
 11 
 
 9.445155 
 
 725 
 
 9.982441 
 
 61 if. 462714 
 
 786 
 
 10.537286 
 
 49 
 
 12 
 
 445590 
 
 724 
 
 982404 
 
 61 463186 
 
 785 
 
 536814 
 
 48 
 
 13 
 
 446025 
 
 723 
 
 982367 
 
 61 463658 
 
 785 
 
 536342 
 
 47 
 
 14 
 
 446459 
 
 723 
 
 982331 
 
 61 464129 
 
 784 
 
 535871 
 
 46 
 
 15 
 
 446893 
 
 722 
 
 982294 
 
 61 464599 
 
 783 
 
 535401 
 
 45 
 
 16 
 
 447326 
 
 721 
 
 982257 
 
 61 465069 
 
 783 
 
 534931 
 
 44 
 
 17 
 
 447759 
 
 720 
 
 982220 
 
 62 465539 
 
 782 
 
 534461 
 
 43 
 
 18 
 
 448191 
 
 720 
 
 982183 
 
 62 
 
 466008 
 
 781 
 
 533992 
 
 42 
 
 19 
 
 448623 
 
 719 
 
 982146 
 
 62 
 
 466476 
 
 780 
 
 533524 
 
 41 
 
 20 
 
 449054 
 
 718 
 
 982109 
 
 62 
 
 466945 
 
 780 
 
 533055 
 
 40 
 
 21 
 
 9.449485 
 
 717 
 
 9.982072 
 
 62 
 
 9.467413 
 
 779 
 
 10.532587 
 
 39 
 
 22 
 
 449915 
 
 716 
 
 982035 
 
 62 
 
 467880 
 
 778 
 
 532120 
 
 38 
 
 23 
 
 450345 
 
 716 
 
 981998 
 
 62 
 
 468347 
 
 778 
 
 531-653 
 
 37 
 
 24 
 
 450775 
 
 715 
 
 981961 
 
 62 
 
 468814 
 
 777 
 
 531186 
 
 36 
 
 25 
 
 451204 
 
 714 
 
 981924 
 
 62 
 
 469280 
 
 776 
 
 530720 
 
 35 
 
 26 
 
 451632 
 
 713 
 
 981886 
 
 62 
 
 469746 
 
 775 
 
 530254 
 
 34 
 
 27 
 
 452060 
 
 713 
 
 981849 
 
 62 
 
 470211 
 
 775 
 
 529789 
 
 33 
 
 28 
 
 452488 
 
 712 
 
 981812 
 
 62 
 
 470676 
 
 774 
 
 529324 
 
 32 
 
 29 
 
 452915 
 
 711 
 
 981774 
 
 62 
 
 471141 
 
 773 
 
 528859 
 
 31 
 
 30 
 
 453342 
 
 710 
 
 981737 
 
 oa 
 
 47 1605 
 
 773 
 
 528395 
 
 30 
 
 31 
 
 9.453768 
 
 710 
 
 9.981699 
 
 63 
 
 9.472068 
 
 772 
 
 10.527932 
 
 29 
 
 32 
 
 454194 
 
 709 
 
 981662 
 
 63 
 
 472532 
 
 771 
 
 527468 
 
 28 
 
 33 
 
 454619 
 
 708 
 
 981625 
 
 63 
 
 472995 
 
 771 
 
 527005 
 
 27 
 
 34 
 
 455044 
 
 707 
 
 981587 
 
 63 
 
 473457 
 
 770 
 
 526543 
 
 26 
 
 35 
 
 455469 
 
 707 
 
 981549 
 
 63 
 
 473919 
 
 769 
 
 526081 
 
 25 
 
 36 
 
 455893 
 
 706 
 
 981512 
 
 63 
 
 474381 
 
 769 
 
 525619 
 
 24 
 
 37 
 
 456316 
 
 705 
 
 . 981474 
 
 63 
 
 474842 
 
 768 
 
 525158 
 
 23 
 
 38 
 
 456739 
 
 704 
 
 981436 
 
 63 
 
 475303 
 
 767 
 
 524697 
 
 22 
 
 39 
 
 457162 
 
 704 
 
 981399 
 
 63 
 
 475763 
 
 767 
 
 524237 
 
 21 
 
 40 
 
 457584 
 
 703 
 
 981361 
 
 63 
 
 476223 
 
 766 
 
 523777 
 
 20 
 
 41 
 
 9:458006 
 
 702 
 
 9.981323 
 
 63 
 
 9.476683 
 
 765 
 
 10.523317 
 
 19 
 
 42 
 
 458427 
 
 701 
 
 981285 
 
 63 
 
 477142 
 
 765 
 
 522858 
 
 18 
 
 43 
 
 458848 
 
 701 
 
 981247 
 
 63 
 
 477601 
 
 764 
 
 522399 
 
 17 
 
 44 
 
 459268 
 
 700 
 
 981209 
 
 63 
 
 478059 
 
 763 
 
 521941 
 
 16 
 
 45 
 
 459688 
 
 699 
 
 981171 
 
 63 
 
 478517 
 
 763 
 
 521483 
 
 15 
 
 46 
 
 460108 
 
 698 
 
 981133 
 
 64 
 
 478975 
 
 762 
 
 521025 
 
 14 
 
 47 
 
 460527 
 
 698 
 
 981095 
 
 64 
 
 479432 
 
 761 
 
 520568 
 
 13 
 
 48 
 
 460946 
 
 697 
 
 981057 
 
 64 
 
 479889 
 
 761 
 
 520111 
 
 12 
 
 49 
 
 461364 
 
 696 
 
 981019 
 
 64 
 
 480345 
 
 760 
 
 519655 
 
 11 
 
 50 
 
 461782 
 
 695 
 
 980981 
 
 64 
 
 480801 
 
 759 
 
 519199 
 
 10 
 
 51 
 
 9.462199 
 
 695 
 
 9.980942 
 
 64 
 
 9.481257 
 
 759 
 
 10.518743 
 
 9 
 
 52 
 
 462616 
 
 694 
 
 980904 
 
 64 
 
 481712 
 
 758 
 
 518288 
 
 8 
 
 53 
 
 463032 
 
 693 
 
 980866 
 
 64 
 
 482167 
 
 757 
 
 517833 
 
 7 
 
 54 
 
 463448 
 
 693 
 
 980627 
 
 64 
 
 482621 
 
 757 
 
 517379 
 
 6 
 
 55 
 
 46386^. 
 
 692 
 
 980789 
 
 64 
 
 483075 
 
 756 
 
 516925 
 
 5 
 
 56 
 
 464279 
 
 691 
 
 980750 
 
 64 
 
 483529 
 
 755 
 
 516471 
 
 4 
 
 57 
 
 464694 
 
 690 
 
 980712 
 
 64 
 
 483982 
 
 755 
 
 516018 
 
 3 
 
 58 
 
 465108 
 
 690 
 
 980673 
 
 64 
 
 484435 
 
 754 
 
 515565 
 
 2 
 
 59 
 
 465522 
 
 689 
 
 980635 
 
 64 
 
 484887 
 
 753 
 
 515113 
 
 1 
 
 60 
 
 465935 
 
 688 
 
 980596'' 64 
 
 485339 
 
 753 
 
 5l4fifil 
 
 
 
 Cosine 
 
 | Sine 
 
 
 Cotang. 
 
 
 Tang. 
 
 M. 
 
 73 Degrees. 
 
SINES AND TANGENTS. (11 Degrees.) 
 
 M. | Sine | D j Cosine | D. | Tang. D. | Cotang. 
 
 o 
 
 9.465935 
 
 688 
 
 9.980596 
 
 64 
 
 9.485339 
 
 755 
 
 10.514661 
 
 bO 
 
 1 
 
 466348 
 
 688 
 
 980558 
 
 64 
 
 485791 
 
 752 
 
 514209 
 
 59 
 
 2 
 
 466761 
 
 687 
 
 980519 
 
 65 
 
 486242 
 
 751 
 
 513758 
 
 58 
 
 3 
 
 467173 
 
 686 
 
 980480 
 
 65 
 
 486693 
 
 751 
 
 513307 
 
 57 
 
 4 
 
 467585 
 
 685 
 
 980442 
 
 65 
 
 487143 
 
 750 
 
 512857 
 
 56 
 
 5 
 
 467996 
 
 685 
 
 980403 
 
 65 
 
 487593 
 
 749 
 
 512407 
 
 55 
 
 6 
 
 468407 
 
 684 
 
 980364 
 
 65 
 
 488043 
 
 749 
 
 511957 
 
 54 
 
 7 
 
 468817 
 
 683 
 
 980325 
 
 65 
 
 488492 
 
 748 
 
 511508 
 
 53 
 
 8 
 
 469227 
 
 683 
 
 980286 
 
 65 
 
 488941 
 
 747 
 
 511059 
 
 52 
 
 9 
 
 469637 
 
 682 
 
 980247 
 
 65 
 
 489390 
 
 747 
 
 510610 
 
 51 
 
 10 
 
 470046 
 
 681 
 
 980208 
 
 65 
 
 489838 
 
 746 
 
 510162 50 
 
 11 
 
 9 . 470455 
 
 680 
 
 9.980169 
 
 65- 
 
 9.490286 
 
 746 
 
 10.509714 
 
 49 
 
 12 
 
 470863 
 
 680 
 
 980130 
 
 65* 
 
 490733 
 
 745 
 
 509267 
 
 48 
 
 13 
 
 471271 
 
 679 
 
 980091 
 
 65 
 
 491180 
 
 744 
 
 508820 
 
 47 
 
 14 
 
 471679 
 
 678 
 
 980052 
 
 65 
 
 491627 
 
 744 
 
 508373 
 
 46 
 
 15 
 
 472086 
 
 678 
 
 980012 
 
 65 
 
 492073 
 
 743 
 
 507927 
 
 45 
 
 16 
 
 472492 
 
 677 
 
 979973 
 
 65 
 
 492519 
 
 743 
 
 507481 
 
 44 
 
 17 
 
 472898 
 
 676 
 
 979934 
 
 66 
 
 492965 
 
 742 
 
 507035 
 
 43 
 
 18 
 
 473304 
 
 676 
 
 979895 
 
 66 
 
 493410 
 
 741 
 
 506590 
 
 42 
 
 19 
 
 473710 
 
 675 
 
 979855 
 
 66 
 
 493854 
 
 740 
 
 506148 
 
 41 
 
 20 
 
 474115 
 
 674 
 
 979816 
 
 66 
 
 494299 
 
 740 
 
 505701 
 
 40 
 
 21 
 
 9.474519 
 
 674 
 
 9.979776 
 
 66 
 
 9.494743 
 
 740 
 
 10.505257 
 
 39 
 
 22 
 
 474923 
 
 673 
 
 979737 
 
 66 
 
 495186 
 
 739 
 
 504814 
 
 38 
 
 23 
 
 475327 
 
 672 
 
 979697 
 
 66 
 
 495630 
 
 738 
 
 504370 
 
 37 
 
 24 
 
 475730 
 
 672 
 
 979658 
 
 66 
 
 496073 
 
 737 
 
 503927 
 
 36 
 
 25 
 
 476133 
 
 671 
 
 979618 
 
 66 
 
 496515 
 
 737 
 
 503485 
 
 35 
 
 26 
 
 476536 
 
 670 
 
 979579 
 
 66 
 
 496957 
 
 736 
 
 503043 
 
 34 
 
 27 
 
 476938 
 
 669 
 
 979539 
 
 66 
 
 497399 
 
 736 
 
 502601 
 
 33 
 
 28 
 
 477340 
 
 669 
 
 979499 
 
 66 
 
 497841 
 
 735 
 
 502159 
 
 32 
 
 29 
 
 177741 
 
 668 
 
 979459 
 
 66 
 
 498282 
 
 734 
 
 501718 
 
 31 
 
 30 
 
 478142 
 
 667 
 
 979420 
 
 66 
 
 498722 
 
 734 
 
 501278 
 
 30 
 
 31 
 
 9.478542 
 
 667 
 
 9.979380 
 
 66 
 
 9.499163 
 
 733 
 
 10.500837 
 
 29 
 
 32 
 
 478942 
 
 666 
 
 979340 
 
 66 
 
 499603 
 
 733 
 
 500397 28 
 
 33 
 
 479342 
 
 665 
 
 979300 
 
 67 
 
 500042 
 
 732 
 
 499958 
 
 27 
 
 34 
 
 479741 
 
 665 
 
 979260 
 
 67 
 
 500481 
 
 731 
 
 499519 
 
 26 
 
 35 
 
 480140 
 
 664 
 
 979220 
 
 67 
 
 500920 
 
 731 
 
 499080 
 
 25 
 
 36 
 
 480539 
 
 663 
 
 979180 
 
 67 
 
 501359 
 
 730 
 
 49864! 
 
 24 
 
 37 
 
 480937 
 
 663 
 
 979140 
 
 67 
 
 501797 
 
 730 
 
 498203 
 
 23 
 
 38 
 
 481334 
 
 662 
 
 979100 
 
 67 
 
 502235 
 
 729 
 
 497765 
 
 22 
 
 39 
 
 481731 
 
 661 
 
 979059 
 
 67 
 
 502672 
 
 728 
 
 497328 2! 
 
 40 
 
 482128 
 
 661 
 
 979019 
 
 67 
 
 503109 
 
 728 
 
 496891 20 
 
 41 
 
 9 482525 
 
 660 
 
 9.978979 
 
 67 
 
 9.503546 
 
 727 
 
 TO. 496454 
 
 19 
 
 42 
 
 482921 
 
 659 
 
 978939 
 
 67 
 
 503982 
 
 727 
 
 496018 
 
 18 
 
 43 
 
 483316 
 
 659 
 
 978898 
 
 67 
 
 504418 
 
 726 
 
 495582 
 
 17 
 
 44 
 
 483712 
 
 658 
 
 978858 
 
 67 
 
 504854 
 
 725 
 
 495146 
 
 16 
 
 45 
 
 484107 
 
 657 
 
 978817 
 
 67 
 
 505289 
 
 725 
 
 49471 1 
 
 15 
 
 46 
 
 484501 
 
 657 
 
 978777 
 
 67 
 
 505724 
 
 724 
 
 494276 
 
 14 
 
 47 
 
 484895 
 
 656 
 
 978736 
 
 67 
 
 506159 
 
 724 
 
 493841 
 
 13 
 
 48 
 
 485289 
 
 655 
 
 978696 
 
 68 
 
 506593 
 
 723 
 
 493407 
 
 12 
 
 49 
 
 485682 
 
 655 
 
 978655 
 
 68 
 
 507027 
 
 722 
 
 492973 
 
 11 
 
 50 
 
 486075 
 
 654 
 
 978615 
 
 68 
 
 507460 
 
 722 
 
 492540 
 
 10 
 
 51 
 
 9. -486467 
 
 653 
 
 9.978574 
 
 68 
 
 9.507893 
 
 721 
 
 107492107 
 
 9 
 
 52 
 
 486860 
 
 653 
 
 978533 
 
 68 
 
 508326 
 
 721 
 
 491674 
 
 8 
 
 53 
 
 487251 
 
 652 
 
 978493 
 
 68 
 
 508759 
 
 720 
 
 491241 
 
 7 
 
 54 
 
 487643 
 
 651 
 
 978452 
 
 68 
 
 509191 
 
 719 
 
 490809 
 
 6 
 
 55 
 
 488034 
 
 651 
 
 978411 
 
 68 
 
 509622 
 
 719 
 
 490378 
 
 5 
 
 56 
 
 488424 
 
 650 
 
 978370 
 
 68 
 
 510054 
 
 718 
 
 489946 
 
 4 
 
 57 
 
 488814 
 
 650 
 
 978329 
 
 68 
 
 510485 
 
 718 
 
 489515 
 
 3 
 
 .58 
 
 489204 
 
 649 
 
 978288 
 
 68 
 
 510916 
 
 717 
 
 489084 
 
 2 
 
 59 
 
 489593 
 
 648 
 
 97824? 
 
 68 
 
 511346 
 
 716 
 
 488654 
 
 1 
 
 60 
 
 489982 
 
 648 
 
 978206 
 
 68 
 
 511776 
 
 716 
 
 488224 
 
 
 Cosine 1 Sine | | Cotang. 1 'J ang. M. 
 
 72 Degrees. 
 
(18 Degrees.) A TABLE OF LOGARITHMIC 
 
 M. 
 
 Sine 
 
 D. 1 Cosine | I). 
 
 Tang. | D. 
 
 Cotanp. 
 
 
 
 9.489982 
 
 648 
 
 9.978206 
 
 68 
 
 9.511776 
 
 716 
 
 10.488224 
 
 60 
 
 1 
 
 490371 
 
 648 
 
 978165 
 
 68 
 
 512206 
 
 716 
 
 487794 
 
 59 
 
 2 
 
 490759 
 
 647 
 
 978124 
 
 68 
 
 5126351 715 
 
 487365 
 
 58 
 
 3 
 
 491147 
 
 646 
 
 978083 
 
 69 
 
 513064 714 
 
 486936 
 
 57 
 
 4 
 
 491535 646 
 
 978042 
 
 69 
 
 513493 714 
 
 486507 
 
 56 
 
 5 
 
 491922, 645 
 
 978001 
 
 69 
 
 513921 713 
 
 486079 
 
 55 
 
 6 
 
 492308 
 
 644 
 
 977959 
 
 69 
 
 514349 713 
 
 485651 
 
 54 
 
 7 
 
 492695 
 
 644 
 
 977918 
 
 69 
 
 514777 712 
 
 485223 
 
 53 
 
 8 
 
 493081 
 
 643 
 
 977877 
 
 69 
 
 515204 712 
 
 484796 
 
 52 
 
 9 
 
 493466 
 
 642 
 
 977835 
 
 69 
 
 515631 1 711 
 
 484369 
 
 51 
 
 10 
 
 493851 
 
 642 
 
 977794 
 
 69 
 
 516057 710 
 
 483943 
 
 50 
 
 11 
 
 9.494236 
 
 641 
 
 9.977752 
 
 69 
 
 9.516484 710 
 
 10.483516 
 
 49 
 
 12 
 
 494621 
 
 641 
 
 977711 
 
 *9 
 
 516910 709 
 
 483090 
 
 48 
 
 13 
 
 495005 
 
 640 
 
 977669 
 
 69 
 
 517335, 709 
 
 482665 
 
 47 
 
 14 
 
 495388 
 
 639 
 
 977628 
 
 69 
 
 517761 708 
 
 482239 
 
 46 
 
 15 
 
 495772 
 
 639 
 
 977586 
 
 69 
 
 518185 708 
 
 481815 
 
 45 
 
 16 
 
 496 154 
 
 638 
 
 977544 
 
 70 
 
 518610 707 
 
 481390 
 
 44 
 
 17 
 
 496537 
 
 637 
 
 977503 
 
 70 
 
 519034 706 
 
 480966 
 
 43 
 
 18 
 
 496919 
 
 637 
 
 977461 
 
 70 
 
 519458 706 
 
 480542 
 
 42 
 
 19 
 
 497301 
 
 636 
 
 977419 
 
 70 
 
 519882 
 
 705 
 
 480118 
 
 41 
 
 20 
 
 497682 
 
 636 
 
 977377 
 
 70 
 
 520305 
 
 705 
 
 479695 
 
 40 
 
 21 
 
 9.498064 
 
 635 
 
 9.977335 
 
 70 
 
 9.520728 704 
 
 10.479272 
 
 39 
 
 22 
 
 498444 
 
 634 
 
 977293 
 
 70 
 
 521151 703 
 
 478849 
 
 38 
 
 23 
 
 498825 
 
 634 
 
 977251 
 
 70 
 
 5215731 703 
 
 478427 
 
 37 
 
 24 
 
 499204 
 
 633 
 
 977209 
 
 70 
 
 521995' 703 
 
 478005 
 
 36 
 
 25 
 
 499584 
 
 632 
 
 977167 
 
 70 
 
 522417! 702 
 
 477583 
 
 35 
 
 26 
 
 499963 
 
 632 
 
 977125 
 
 70 
 
 522838 
 
 702 
 
 477162 
 
 34 
 
 27 
 
 500342 
 
 631 
 
 977083 
 
 70 
 
 523259 
 
 701 
 
 476741 
 
 33 
 
 28 
 
 500721 
 
 631 
 
 977041 
 
 70 
 
 523680 
 
 701 
 
 476320 
 
 32 
 
 29 
 
 501099 
 
 630 
 
 976999 
 
 70 
 
 5241 00 
 
 700 
 
 475900 
 
 31 
 
 30 
 
 501476 
 
 629 
 
 976957 
 
 70 
 
 524520 
 
 699 
 
 475480 
 
 30 
 
 31 
 
 9.501854 
 
 629 
 
 9.976914 
 
 70 
 
 9 . 524939 
 
 699 
 
 10.475061 
 
 29 
 
 32 
 
 502231 
 
 628 
 
 976872 
 
 71 
 
 525359 
 
 698 
 
 47464.1 
 
 28 
 
 33 
 
 502607 
 
 628 
 
 976830 
 
 71 
 
 525778 
 
 698 
 
 474222 
 
 27 
 
 34 
 
 502984 
 
 627 
 
 976787 
 
 71 
 
 526197 
 
 697 
 
 473803 
 
 26 
 
 35 
 
 503360 
 
 626 
 
 976745 
 
 71 
 
 526615 
 
 G97 
 
 473385 
 
 25 
 
 36 
 
 503735 
 
 626 
 
 976702 
 
 71 
 
 527033 
 
 696 
 
 472967 
 
 24 
 
 37 
 
 504110 
 
 625 
 
 976660 
 
 71 
 
 527451 
 
 696 
 
 472549 
 
 23 
 
 38 
 
 504485 
 
 625 
 
 976617 
 
 71 
 
 527868 
 
 695 
 
 472132 
 
 22 
 
 39 
 
 504860 
 
 624 
 
 976574 
 
 71 
 
 528285 
 
 695 
 
 471715 
 
 21 
 
 40 
 
 505234 
 
 623 
 
 976502 
 
 71 
 
 528702 
 
 694 
 
 471298 
 
 20 
 
 41 
 
 9.505608 
 
 623 
 
 9.976489 
 
 71 
 
 9.529119 
 
 693 
 
 0.470881 
 
 19 
 
 42 
 
 505981 
 
 622 
 
 976446 
 
 71 
 
 52<>535 
 
 693 
 
 470465 
 
 18 
 
 43 
 
 506354 
 
 622 
 
 970404 
 
 71 
 
 529950 
 
 693 
 
 470050 
 
 17 
 
 44 
 
 506727 
 
 621 
 
 978361 
 
 71 
 
 530366 
 
 692 
 
 469634 
 
 16 
 
 45 
 
 507099 
 
 620 
 
 97G318 
 
 71 
 
 530781 
 
 691 
 
 469219 
 
 15 
 
 46 
 
 507471 
 
 620 
 
 976275 
 
 71 
 
 531196 
 
 691 
 
 468804 
 
 14 
 
 47 
 
 507843 
 
 619 
 
 976232 
 
 72 
 
 531611 
 
 690 
 
 468389 
 
 13 
 
 48 
 
 508214 
 
 619 
 
 970189 
 
 72 
 
 532025 
 
 690 
 
 467975 
 
 12 
 
 49 
 
 508585 
 
 618 
 
 976146 
 
 72 
 
 532439 
 
 689 
 
 467561 
 
 11 
 
 50 
 
 508956 
 
 618 
 
 976103 
 
 72 
 
 532853 
 
 689 
 
 467147 
 
 10 
 
 51 
 
 9.509326 
 
 617 
 
 9.976060 
 
 72 
 
 9.533266 
 
 688 
 
 10.466734 
 
 9 
 
 52 
 
 509696 
 
 61 6 
 
 976017 
 
 72 
 
 533679 
 
 688 
 
 466321 
 
 8 
 
 53 
 
 510065 
 
 616 
 
 975974 
 
 72 
 
 534092 
 
 687 
 
 465908 
 
 7 
 
 54 
 
 510434 
 
 615 
 
 975930 
 
 72 
 
 534504 
 
 687 
 
 465496 
 
 6 
 
 55 
 
 510803 
 
 615 
 
 975887 
 
 72 
 
 534916 
 
 686 
 
 465084 
 
 5 
 
 56 
 
 511172 
 
 614 
 
 975844 
 
 72 
 
 535328 
 
 686 
 
 464672 
 
 4 
 
 57 
 
 511540 
 
 613 
 
 975800 
 
 72 
 
 535739 
 
 685 
 
 464261 
 
 3 
 
 58 
 
 511907 
 
 613 
 
 975757 
 
 72 
 
 536150 
 
 685 
 
 463850 
 
 2 
 
 59 
 
 612275 
 
 612 
 
 975714 
 
 72 
 
 536561 
 
 684 
 
 463439 
 
 1 
 
 60 
 
 512642 
 
 612 
 
 975670 
 
 72 
 
 536972 
 
 684 
 
 463028 
 
 
 
 
 Conine | 
 
 Sine 1 Cotang. 1 
 
 Tang. 
 
 M. 
 
 7' Devices. 
 
SINES AND TANGENTS. (19 Degrees.) 
 
 37 
 
 M. 
 
 Sine | D. 
 
 Cosine | D. Tang. | D. Cotang. 
 
 
 
 
 9.512642 
 
 612 
 
 9.975670 
 
 73 
 
 9.536972 
 
 684 
 
 10.463028 
 
 60 
 
 1 
 
 513009 
 
 6il 
 
 975627 
 
 73 
 
 537382 
 
 683 
 
 462618 
 
 59 
 
 2 
 
 513375 
 
 611 
 
 9755S3 
 
 73 
 
 537792 
 
 683 
 
 462208 
 
 58 
 
 3 
 
 513741 
 
 610 
 
 975539 
 
 73 
 
 538202 
 
 682 
 
 461798 
 
 57 
 
 4 
 
 514107 
 
 609 
 
 975496 
 
 73 
 
 538611 
 
 682 
 
 461389 
 
 56 
 
 5 
 
 514472 
 
 609 
 
 975452 
 
 73 
 
 539020 
 
 681 
 
 460980 
 
 55 
 
 6 
 
 514837 
 
 608 
 
 9/5408 
 
 73 
 
 539429 
 
 681 
 
 460571 
 
 54 
 
 7 
 
 515202 
 
 608 
 
 9T5365 
 
 73 
 
 539837 
 
 680 
 
 460163 
 
 53 
 
 8 
 
 515566 
 
 607 
 
 975321 
 
 73 
 
 540245 
 
 680 
 
 469755 
 
 52 
 
 9 
 
 515930 
 
 607 
 
 975277 
 
 73 
 
 540653 
 
 679 
 
 459347 
 
 51 
 
 10 
 
 516294 
 
 6^6 
 
 975233 
 
 73 
 
 541061 
 
 679 
 
 458939 
 
 50 
 
 11 
 
 9.516657 
 
 605 
 
 9.975189 
 
 73 
 
 9.541468 
 
 678 
 
 10.458532 
 
 49 
 
 12 
 
 517020 
 
 605 
 
 975145 
 
 73 
 
 541875 
 
 678 
 
 458125 
 
 48 
 
 13 
 
 517382 
 
 604 
 
 975101 
 
 73 
 
 542281 
 
 677 
 
 457719 
 
 47 
 
 14 
 
 517745 
 
 604 
 
 975057 
 
 73 
 
 542688 
 
 677 
 
 457312 
 
 46 
 
 15 
 
 518107 
 
 603 
 
 975013 
 
 73 
 
 543094 
 
 676 
 
 456906 
 
 45 
 
 16 
 
 518468 
 
 603 
 
 974969 
 
 74 
 
 543499 
 
 676 
 
 456501 
 
 44 
 
 17 
 
 518829 
 
 602 
 
 974925 
 
 74 
 
 543905 
 
 675 
 
 456095 
 
 43 
 
 18 
 
 519190 
 
 601 
 
 974880 
 
 74 
 
 544310 
 
 675 
 
 455690 
 
 42 
 
 19 
 
 519551 
 
 601 
 
 974836 
 
 74 
 
 544715 
 
 674 
 
 455285 
 
 41 
 
 20 
 
 519911 
 
 600 
 
 974792 
 
 74 
 
 545119 
 
 674 
 
 454881 
 
 40 
 
 21 
 
 9.520271 
 
 600 
 
 9.974748 
 
 74 
 
 9.545524 
 
 673 
 
 10.454476 
 
 39 
 
 22 
 
 520631 
 
 599 
 
 974703 
 
 74 
 
 545928 
 
 673 
 
 454072 
 
 38 
 
 23 
 
 520990 
 
 599 , 
 
 974659 
 
 74 
 
 546331 
 
 672 
 
 453669 
 
 37 
 
 24 
 
 521349 
 
 598 , 
 
 974614 
 
 74 
 
 546735] 672 
 
 453265 
 
 36 
 
 25 
 
 521707 
 
 5<*S 
 
 974570 
 
 74 
 
 547138 
 
 671 
 
 452862 
 
 35 
 
 26 
 
 522066 
 
 597 
 
 974525 
 
 74 
 
 547540 
 
 671 
 
 452460 
 
 34 
 
 27 
 
 522434 
 
 596 
 
 974481 
 
 74 
 
 547943 
 
 670 
 
 452057 
 
 33 
 
 28 
 
 522781 
 
 596 
 
 974436 
 
 74 
 
 548345 
 
 670 
 
 451655 
 
 32 
 
 29 
 
 523138 
 
 595 
 
 974391 
 
 74 
 
 548747 
 
 669 
 
 451253 
 
 31 
 
 30 
 
 523495 
 
 595 
 
 974347 
 
 75 
 
 549149 
 
 669 
 
 450851 
 
 30 
 
 31 
 
 9.523852 
 
 594 
 
 9.974302 
 
 75 
 
 9.549550 
 
 668 
 
 10.450450 
 
 29 
 
 32 
 
 524208 
 
 594 
 
 974257 
 
 75 
 
 549951 
 
 668 
 
 450049 
 
 28 
 
 33 
 
 634564 
 
 593 
 
 974212 
 
 75 
 
 550352 
 
 667 
 
 449648 
 
 27 
 
 34 
 
 524920 
 
 593 
 
 974167 
 
 75 
 
 550752 
 
 667 
 
 449248 
 
 26 
 
 35 
 
 525275 
 
 592 
 
 974122 
 
 75 
 
 551152 
 
 666 
 
 448848 
 
 25 
 
 36 
 
 525630 
 
 591 
 
 974077 
 
 75 
 
 551552 
 
 666 
 
 448448 
 
 24 
 
 37 
 
 525984 
 
 591 
 
 974032 
 
 75 
 
 551952 
 
 665 
 
 448048 
 
 23 
 
 38 
 
 526339 
 
 590 
 
 973987 
 
 75 
 
 552351 
 
 665 
 
 447649 
 
 22 
 
 39 
 
 526693 
 
 590 
 
 973942 
 
 75 
 
 552750 
 
 665 
 
 447250 
 
 21 
 
 40 
 
 527046 
 
 589 
 
 973897 
 
 75 
 
 553149 
 
 664 
 
 446851 
 
 20 
 
 41 
 
 9.527400 
 
 589 
 
 9.973852 
 
 75 
 
 9.553548 
 
 664 
 
 T07446452 
 
 19 
 
 42 
 
 527753 
 
 588 
 
 973807 
 
 75 
 
 553946 
 
 663 
 
 446054 
 
 18 
 
 43 
 
 528105 
 
 588 
 
 973761 
 
 75 
 
 554344 
 
 663 
 
 445656 
 
 17 
 
 44 
 
 528458 
 
 587 
 
 973716 
 
 76 
 
 554741 
 
 662 
 
 445259 
 
 16 
 
 45 
 
 528810 
 
 587 
 
 973671 
 
 76 
 
 555139 
 
 662 
 
 444861 
 
 15 
 
 46 
 
 529161 
 
 586 
 
 973625 
 
 76 
 
 555536 
 
 661 
 
 444464 
 
 14 
 
 47 
 
 529513 
 
 586 
 
 973580 
 
 76 
 
 555933 
 
 661 
 
 ,444067 
 
 13 
 
 48 
 
 529864 
 
 585 
 
 973535 
 
 76 
 
 556329 
 
 660 
 
 443671 
 
 12 
 
 49 
 
 530215 
 
 585 
 
 973489 
 
 76 
 
 556725 
 
 660 
 
 443275 
 
 11 
 
 50 
 
 030565 
 
 584 
 
 973444 
 
 76 
 
 557121 
 
 659 
 
 442879 
 
 10 
 
 51 
 
 9.530915 
 
 584 9.973398 
 
 76 
 
 9.557517 
 
 659 
 
 10.442483 
 
 9 
 
 52 
 
 531265 
 
 583 
 
 973352 
 
 76 
 
 557913 
 
 659 
 
 442087 
 
 8 
 
 53 
 
 531614 
 
 582 
 
 973307 
 
 76 
 
 558308 
 
 658 
 
 441692 
 
 7 
 
 54 
 
 531963 
 
 582 
 
 973261 
 
 76 
 
 558702 
 
 658 
 
 441298 
 
 6 
 
 55 
 
 532312 
 
 581 
 
 973215 
 
 76 
 
 559097 
 
 657 
 
 440903 
 
 5 
 
 56 
 
 532661 
 
 581 
 
 973169 
 
 76 
 
 559491 
 
 657 
 
 440509 
 
 4 
 
 57 
 
 533009 
 
 580 
 
 973124 
 
 76 
 
 559885 
 
 656 
 
 440115 
 
 3 
 
 58 
 
 533357 
 
 580 
 
 973078 
 
 76 
 
 560279 
 
 656 
 
 439721 
 
 2 
 
 59 
 
 533704 
 
 579 
 
 973032 
 
 77 
 
 560673 
 
 655 
 
 439327 
 
 1 
 
 *0 
 
 534052, 578 
 
 972986 
 
 77 
 
 561066 
 
 655 
 
 438934 
 
 
 
 
 Cosine | J Sine 
 
 
 Cotang. | 
 
 Tang. M. 
 
 70 Degrees. 
 
38 
 
 (20 Degrees.) A TABLE OP LOGARITHMIC 
 
 M. Sine | D. Cosine | D. | Tang. f D. Cotang. | 
 
 
 
 9.534052) 578 9.972986177 
 
 9.561066 
 
 655 
 
 10.438934 
 
 60 
 
 1 
 
 534399 
 
 577 
 
 972940 
 
 77 
 
 561459 
 
 654 
 
 438541 
 
 59 
 
 2 
 
 534745 
 
 577 
 
 972894 
 
 77 
 
 561851 
 
 654 
 
 438149 
 
 58 
 
 3 
 
 535092 
 
 577 
 
 972848 
 
 77 
 
 562244 
 
 653 
 
 437756 
 
 57 
 
 4 
 
 535438 
 
 576 
 
 9728021 77 
 
 562636 
 
 653 
 
 437364 
 
 56 
 
 5 
 
 535783 
 
 576 
 
 972755 
 
 77 
 
 563028 
 
 653 
 
 436972 
 
 55 
 
 6 
 
 536129 
 
 575 
 
 972709 
 
 77 
 
 563419 
 
 652 
 
 436581 
 
 54 
 
 7 
 
 536474 
 
 574 
 
 972663 
 
 77 
 
 563811 
 
 652 
 
 436189 
 
 53 
 
 8 
 
 536818 
 
 574 
 
 972617 
 
 77 
 
 564202 
 
 651 
 
 435798 
 
 52 
 
 9 
 
 537163 
 
 573 
 
 972570 
 
 77 
 
 564592 
 
 651 
 
 435408 
 
 51 
 
 10 
 
 537507 
 
 573 
 
 972524 
 
 77 
 
 564983 
 
 650 
 
 435017 
 
 50 
 
 11 
 
 9.537851 
 
 572 
 
 9.972478 
 
 77 
 
 9.5653713 
 
 650 
 
 10.434627 
 
 49 
 
 12 
 
 538194 
 
 572 
 
 972431 
 
 78 
 
 565763 
 
 649 
 
 434237 
 
 48 
 
 13 
 
 538538 
 
 571 
 
 972385 
 
 78 
 
 566153 
 
 649 
 
 433847 
 
 47 
 
 14 
 
 538880 
 
 "571 
 
 972338 
 
 78 
 
 566542 
 
 649 
 
 433458 
 
 46 
 
 15 
 
 539223 
 
 570 
 
 972291 
 
 78 
 
 566932 
 
 648 
 
 433068 
 
 45 
 
 16 
 
 539565 
 
 570 
 
 972245 
 
 78 
 
 567320 
 
 648 
 
 432680 
 
 44 
 
 17 
 
 539907 
 
 569 
 
 972198 
 
 78 
 
 567709 
 
 647 
 
 432291 
 
 43 
 
 18 
 
 540249 
 
 569 
 
 972151 
 
 78 
 
 568098 
 
 647 
 
 431902 
 
 42 
 
 19 
 
 540590 
 
 568 
 
 972105 
 
 79 
 
 568486 
 
 646 
 
 431514 
 
 41 
 
 20 
 
 540931 
 
 568 
 
 972058 
 
 78 
 
 568873 
 
 646 
 
 431127 
 
 40 
 
 21 
 
 9.541272 
 
 567 
 
 9.972011 
 
 78 
 
 9.569261 
 
 645 
 
 10.430739 
 
 39 
 
 22 
 
 541613 
 
 567 
 
 971964 
 
 78 
 
 569648 
 
 645 
 
 430352 
 
 38 
 
 23 
 
 541953 
 
 566 
 
 971917 
 
 78 
 
 570035 
 
 645 
 
 429965 
 
 37 
 
 24 
 
 542293 
 
 566 
 
 971870 
 
 78 
 
 570422 
 
 644 
 
 429578 
 
 36 
 
 25 
 
 54263'2 
 
 565 
 
 971823 
 
 78 
 
 570809 
 
 644 
 
 429191 
 
 35 
 
 26 
 
 542971 
 
 565 
 
 971776 
 
 78 
 
 571195 
 
 643 
 
 428805 
 
 34 
 
 27 
 
 543310 
 
 564 971729 
 
 79 
 
 571581 
 
 643 
 
 428419 
 
 33 
 
 28 
 
 543649 
 
 564 971682 
 
 79 
 
 571967 
 
 642 
 
 428033 
 
 32 
 
 29 
 
 543987 
 
 563 971635 
 
 79 
 
 572352 
 
 642 
 
 427648 
 
 31 
 
 30 
 
 544325 
 
 563 971588 
 
 79 
 
 572738 
 
 642 
 
 427262 
 
 30 
 
 31 
 
 9.544663 
 
 562 ! 9.971540 
 
 79 
 
 9.573123 
 
 641 
 
 107426877 
 
 29 
 
 32 
 
 545000 
 
 562 
 
 971493 
 
 79 
 
 573507 
 
 641 
 
 426493 
 
 28 
 
 33 
 
 545338 
 
 561 
 
 971446 
 
 79 
 
 573892 
 
 640 
 
 426 1 08 
 
 27 
 
 34 
 
 545674 
 
 561 
 
 971398 
 
 79 
 
 574276 
 
 640 
 
 425724 
 
 26 
 
 35 
 
 546011 
 
 560 
 
 971351 
 
 79 
 
 574660 
 
 639 
 
 425340 
 
 25 
 
 36 
 
 546347 
 
 560 
 
 971303 
 
 79 
 
 575044 
 
 639 
 
 424958 
 
 24 
 
 37 
 
 546683 
 
 559 
 
 971256 
 
 79 
 
 575427 
 
 639 
 
 424573 
 
 23 
 
 38 
 
 547019 
 
 559 
 
 971208 
 
 79 
 
 575810 
 
 638 
 
 424190 
 
 22 
 
 39 
 
 547354 
 
 558 
 
 971161 
 
 79 
 
 576193 
 
 638 
 
 423807 
 
 21 
 
 40 
 
 547689 
 
 558 
 
 971113 
 
 79 
 
 576576 
 
 637 
 
 423424 
 
 20 
 
 41 
 
 9.548024 
 
 557 
 
 9.971066 
 
 80 
 
 9.576958 
 
 637 
 
 10.423041 
 
 19 
 
 42 
 
 548359 
 
 557 
 
 971018 
 
 80 
 
 577341 
 
 636 
 
 422659 
 
 18 
 
 43 
 
 548693 
 
 556 
 
 970970 
 
 80 
 
 577723 
 
 636 
 
 422277 
 
 .7 
 
 44 
 
 549027 
 
 556 
 
 970922 
 
 80 
 
 578104 
 
 636 
 
 421896 
 
 16 
 
 45 
 
 549360 
 
 555 
 
 970874 
 
 80 
 
 578486 
 
 635 
 
 421514 
 
 15 
 
 46 
 
 549693 
 
 555 | 970827 
 
 80 
 
 578867 
 
 635 
 
 421133 
 
 14 
 
 47 
 
 550026 
 
 554 970779 
 
 80 
 
 579248 
 
 634 
 
 420752 
 
 13 
 
 48 
 
 550359 
 
 554 1 970731 
 
 80 
 
 579629 
 
 634 
 
 420371 
 
 12 
 
 49 
 
 550692 
 
 553 j 970683 
 
 80 
 
 580009 
 
 634 
 
 419991 
 
 11 
 
 50 
 
 551024 
 
 553 ! 970635 
 
 80 
 
 580389 
 
 633 
 
 419611 
 
 10 
 
 51 
 
 9.551356 
 
 552 
 
 9.970586 
 
 80 
 
 9.580769 
 
 633 
 
 107419231 
 
 9 
 
 52 
 
 551687 
 
 552 
 
 970538 
 
 80 
 
 581149 
 
 632 
 
 418851 
 
 8 
 
 53 
 
 552018 
 
 552 
 
 970490 
 
 80 
 
 581528 
 
 632 
 
 418472 
 
 7 
 
 54 
 
 552349 
 
 551 
 
 970442 
 
 80 
 
 581907 
 
 632 
 
 418093 
 
 6 
 
 55 
 
 552680 
 
 551 
 
 970394 
 
 80 
 
 582286 
 
 631 
 
 417714 
 
 5 
 
 56 
 
 553010 
 
 550 
 
 970345 
 
 81 
 
 582665 
 
 631 
 
 417335 
 
 4 
 
 57 
 
 553341 
 
 550 
 
 970297 
 
 81 
 
 583043 
 
 630 
 
 416957 
 
 3 
 
 58 
 
 553670 
 
 549 
 
 970249 
 
 81 
 
 583422 
 
 630 
 
 416578 
 
 2 
 
 59 
 
 554000 
 
 549 
 
 970200 
 
 81 
 
 583800 
 
 629 
 
 416200 
 
 1 
 
 60 
 
 554329 
 
 54S 
 
 970152 
 
 81 
 
 584177 
 
 629 
 
 415823 
 
 
 
 mt 
 
 Cnsiin- | 
 
 me 1 | Ootaup. | 
 
 Tang. M. 
 
 Degrees. 
 
SINES AND TANGENTS. (21 Degrees.; 
 
 39 
 
 M. Sine | D. Cosine | D. Tang. D. | Cotang. | 
 
 
 
 9.554329 
 
 548 1 9.970152 
 
 81 
 
 9.584177 
 
 629 
 
 0.415823 
 
 01 
 
 1 
 
 554658 
 
 548 
 
 970103 
 
 81 
 
 584555 
 
 629 
 
 415445 
 
 9 
 
 2 
 
 554987 
 
 547 
 
 970055 
 
 81 
 
 584932 
 
 628 
 
 415068 
 
 II 
 
 3 
 
 555315 
 
 547 
 
 970006 
 
 81 
 
 585309 
 
 628 
 
 414691 
 
 7 
 
 4 
 
 555643 
 
 546 
 
 969957 
 
 81 
 
 585686 
 
 627 
 
 4143-14 
 
 6 
 
 5 
 
 555971 
 
 546 
 
 969909 
 
 81 
 
 586062 
 
 627 
 
 413938 
 
 51 
 
 6 
 
 556299 
 
 545 
 
 969860 
 
 81 
 
 586439 
 
 627 
 
 413561 
 
 41 
 
 7 
 
 556626 
 
 545 
 
 969811 
 
 81 
 
 586815 
 
 626 
 
 413185 
 
 3 
 
 8 
 
 556953 
 
 544 
 
 969762 
 
 81 
 
 587190 
 
 626 
 
 412810 
 
 2| 
 
 9 
 
 557280 
 
 544 
 
 969714 
 
 81 
 
 587566 
 
 625 
 
 412434 
 
 1 I 
 
 10 
 
 557606 
 
 543 
 
 969665 
 
 81 
 
 587941 
 
 625 
 
 412059 
 
 
 
 11 
 
 9 . 5579S2 
 
 543 
 
 9.969616 
 
 82 
 
 9.588316 
 
 625 
 
 I0o411684 
 
 9 
 
 12 
 
 558258 
 
 543 
 
 969567 
 
 82 
 
 588691 
 
 624 
 
 411309 
 
 81 
 
 13 
 
 558583 
 
 542 
 
 969518 
 
 82 
 
 589066 
 
 624 
 
 410934 
 
 471 
 
 14 
 
 558909 
 
 542 
 
 969469 
 
 82 
 
 589440 
 
 623 
 
 410560 
 
 461 
 
 15 
 
 559234 
 
 541 
 
 969420 
 
 82 
 
 589814 
 
 623 
 
 410186 
 
 45 1 
 
 16 
 
 559558 
 
 541 
 
 969370 
 
 82 
 
 590188 
 
 623 
 
 409812 
 
 44 
 
 17 
 
 5598S3 
 
 540 
 
 969321 
 
 82 
 
 590562 
 
 622 
 
 409438 
 
 431 
 
 18 
 
 660207 
 
 540 
 
 969272 
 
 82 
 
 590935 
 
 622 
 
 409065 
 
 421 
 
 19 
 
 560531 
 
 539 
 
 969223 
 
 82 
 
 591308 
 
 622 
 
 408692 
 
 41 1 
 
 20 
 
 560855 
 
 539 
 
 969173 
 
 82 
 
 591681 
 
 621 
 
 408319 
 
 40 
 
 21 
 
 9.561178 
 
 538 
 
 9.969124 
 
 82 
 
 9.592054 
 
 621 
 
 10.407946 
 
 39 
 
 22 
 
 561501 
 
 538 
 
 969075 
 
 82 
 
 592426 
 
 620 
 
 407574 
 
 381 
 
 23 
 
 561824 
 
 537 
 
 969025 
 
 82 
 
 592798 
 
 620 
 
 407202 
 
 37 1 
 
 24 
 
 562146 
 
 537 
 
 968976 
 
 82 
 
 593170 
 
 619 
 
 406829 
 
 361 
 
 25 
 
 562468 
 
 536 
 
 968926 
 
 83 
 
 593542 
 
 619 
 
 406458 
 
 35 1 
 
 26 
 
 562790 
 
 536 
 
 968877 
 
 83 
 
 593914 
 
 618 
 
 406086 
 
 341 
 
 27 
 
 563112 
 
 536 
 
 968827 
 
 83 
 
 594285 
 
 618 
 
 405715 
 
 33 1 
 
 28 
 
 563433 
 
 535 
 
 968777 
 
 83 
 
 594656 
 
 618 
 
 405344 
 
 321 
 
 29 
 
 563755 
 
 535 
 
 968728 
 
 83 
 
 595027 
 
 617 
 
 404973 
 
 31 1 
 
 30 
 
 564075 
 
 534 
 
 968678 
 
 83 
 
 595398 
 
 617 
 
 404602 
 
 30 
 
 31 
 
 9.564396 
 
 534 
 
 9.968628 
 
 83 
 
 9 . 595768 
 
 617 
 
 10.404232 
 
 29 
 
 32 
 
 564716 
 
 533 
 
 968578 
 
 83 
 
 596138 
 
 616 
 
 403862 
 
 28 
 
 33 
 
 565036 
 
 533 
 
 968528 
 
 83 
 
 596508 
 
 616 
 
 403492 
 
 27 1 
 
 34 
 
 565356 
 
 532 
 
 968479 
 
 83 
 
 596878 
 
 616 
 
 403122 
 
 26 1 
 
 35 
 
 565676 
 
 532 
 
 968429 
 
 83 
 
 597247 
 
 615 
 
 402753 
 
 251 
 
 36 
 
 565995 
 
 531 
 
 968379 
 
 83 
 
 597616 
 
 615 
 
 402384 
 
 24 1 
 
 37 
 
 566314 
 
 531 
 
 9683.29 
 
 83 
 
 597985 
 
 615 
 
 402015 
 
 23 1 
 
 38 
 
 566632 
 
 531 
 
 968278 
 
 83 
 
 598354 
 
 614 
 
 401646 
 
 22 
 
 39 
 
 566951 
 
 530 
 
 968228 
 
 84 
 
 598722 
 
 614 
 
 401278 
 
 21 
 
 40 
 
 567269 
 
 530 
 
 968178 
 
 84 
 
 59909 
 
 613 
 
 400909 
 
 201 
 
 41 
 
 9.567587 
 
 529 
 
 9.968128 
 
 84 
 
 9.599459 
 
 613 
 
 10.400541 
 
 19 
 
 42 
 
 567904 
 
 529 
 
 968078 
 
 84 
 
 59982" 
 
 613 
 
 400173 
 
 181 
 
 43 
 
 568222 
 
 528 
 
 9680S7 
 
 84 
 
 600194 
 
 612 
 
 399806 
 
 17 
 
 44 
 
 568539 
 
 528 
 
 967977 
 
 84 
 
 600562 
 
 612 
 
 399438 
 
 16 
 
 45 
 
 568856 
 
 528 
 
 967927 
 
 84 
 
 600929 
 
 611 
 
 399071 
 
 15 
 
 46 
 
 569172 
 
 527 
 
 967876 
 
 84 
 
 60129 
 
 611 
 
 398704 
 
 14 
 
 7 
 
 569488 
 
 527 
 
 967826 
 
 84 
 
 60166 
 
 611 
 
 398338 
 
 13 
 
 %f 
 
 569804 
 
 526 
 
 967775 
 
 84 
 
 60202 
 
 610 
 
 397971 
 
 12 
 
 4b 
 
 570120 
 
 526 
 
 967725 
 
 84 
 
 60239 
 
 610 
 
 397605 
 
 111 
 
 50 
 
 570435 
 
 525 
 
 967674 
 
 84 
 
 60276 
 
 610 
 
 397239 
 
 10 1 
 
 ~>l 
 
 9.570751 
 
 525 
 
 9.967624 
 
 84 
 
 9.60312 
 
 609 
 
 10.396873 
 
 9 
 
 52 
 
 571066 
 
 524 
 
 96757? 
 
 84 
 
 60349 
 
 609 
 
 396507 
 
 8 
 
 53 
 
 571381 
 
 524 
 
 96752S 
 
 85 
 
 60385 
 
 609 
 
 396142 
 
 7 
 
 54 
 
 571 69 
 
 523 
 
 967471 
 
 85 
 
 60422 
 
 608 
 
 395777 
 
 6 
 
 55 
 
 67200J 
 
 523 
 
 967421 
 
 85 
 
 60458 
 
 608 
 
 395412 
 
 5 
 
 56 
 
 572321 
 
 523 
 
 96737C 
 
 85 
 
 60495 
 
 607 
 
 395047 
 
 4 
 
 57 
 
 57263( 
 
 522 
 
 9673 1 
 
 85 
 
 60531 
 
 607 
 
 394683 
 
 3.1 
 
 58 
 
 57295( 
 
 522 
 
 96726* 
 
 85 
 
 60568 
 
 607 
 
 394318 
 
 2 
 
 59 
 
 57326( 
 
 521 
 
 96721-J 
 
 85 
 
 60604 
 
 606 
 
 ' 393954 
 
 1 
 
 60 
 
 57357,' 
 
 521 
 
 967l6e 
 
 85 
 
 60641 
 
 606 
 
 39359 
 
 
 
 
 Conine I Sine 
 
 | C'oiang. Tang. M. 1 
 
 C8 
 
(22 Degrees.; A TABLE OF LOGARITHMIC 
 
 M. | Sine D. Cosine | D. ' Tang. D. Cotang. | 
 
 
 
 9.573575 
 
 521 
 
 9.967166 
 
 85 
 
 9.606410 
 
 606 
 
 10.393590 
 
 60 
 
 1 
 
 573888 
 
 520 
 
 967115 
 
 85 
 
 606773 
 
 606 
 
 393227 
 
 59 
 
 2 
 
 574200 
 
 520 
 
 967064 
 
 85 
 
 607137 
 
 605 
 
 392863 
 
 58 
 
 3 
 
 574512 
 
 519 
 
 967013 
 
 85 
 
 607500 
 
 605 
 
 392500 
 
 57 
 
 4 
 
 574824 
 
 519 
 
 966961 
 
 85 
 
 607863 
 
 604 
 
 392137 
 
 56 
 
 5 
 
 575136 
 
 519 
 
 966910 
 
 85 
 
 608225 
 
 604 
 
 301775 
 
 55 
 
 6 
 
 575447 
 
 518 
 
 966859 
 
 85 
 
 608588 
 
 604 
 
 391412 
 
 54 
 
 7 
 
 575758 
 
 518 
 
 966808 
 
 85 
 
 608950 
 
 603 
 
 391050 
 
 53 
 
 8 
 
 576069 
 
 517 
 
 966756 
 
 86 
 
 609312 
 
 603 
 
 390688 
 
 52 
 
 9 
 
 576379 
 
 517 
 
 966705 
 
 86 
 
 609674 
 
 603 
 
 390326 
 
 51 
 
 10 
 
 576689 
 
 516 
 
 966653 
 
 86 
 
 610036 
 
 602 
 
 389964 
 
 50 
 
 11 
 
 9.57699$ 
 
 516 
 
 9.966602 
 
 86 
 
 9,610397 
 
 602 
 
 10.389603 
 
 49 
 
 12 
 
 577309 
 
 516 
 
 966550 
 
 86 
 
 610759 
 
 602 
 
 389241 
 
 48 
 
 13 
 
 577618 
 
 515 
 
 966499 
 
 86 
 
 611120 
 
 601 
 
 388880 
 
 47 
 
 14 
 
 577927 
 
 515 
 
 966447 
 
 86 
 
 61 1480 
 
 601 
 
 388520 
 
 46 
 
 15 
 
 578236 
 
 514 
 
 966395 
 
 86 
 
 611841 
 
 601 
 
 388159 
 
 45 
 
 16 
 
 578545 
 
 514 
 
 966344 
 
 86 
 
 612201 
 
 600 
 
 387790 
 
 44 
 
 17 
 
 578853 
 
 513 
 
 966292 
 
 86 
 
 612561 
 
 600 
 
 387439 
 
 43 
 
 18 
 
 579162 
 
 513 
 
 966240 
 
 86 
 
 612921 
 
 600 
 
 387079 
 
 42 
 
 19 
 
 579470 
 
 513 
 
 966188 
 
 86 
 
 613281 
 
 599 
 
 386719- 
 
 41 
 
 20 
 
 579777 
 
 512 
 
 966136 
 
 86 
 
 613641 
 
 599 
 
 386359 
 
 40 
 
 21 
 
 9.580085 
 
 512 
 
 9 966085 
 
 87 
 
 9,614000 
 
 598 
 
 10.386000 
 
 39 
 
 22 
 
 580392 
 
 511 
 
 966033 
 
 87 
 
 614359 
 
 598 
 
 385641 
 
 38 
 
 23 
 
 580699 
 
 511 
 
 965981 
 
 87 
 
 6M718 
 
 598 
 
 385282 
 
 37 
 
 24 
 
 581005 
 
 511 
 
 965928 
 
 87 
 
 615077 
 
 597 
 
 384923. 
 
 36 
 
 25 
 
 581312 
 
 510 
 
 965876 
 
 87 
 
 615435 
 
 597 
 
 384565 
 
 35 
 
 *6 
 
 581618 
 
 510 
 
 965824 
 
 87 
 
 615793 
 
 597 
 
 384207 
 
 34 
 
 27 
 
 581924 
 
 509 
 
 965772 
 
 87 
 
 616151 
 
 596 
 
 383849 
 
 33 
 
 28 
 
 582229 
 
 509 
 
 965720 
 
 87 
 
 61650$ 
 
 596 
 
 383491 
 
 32 
 
 29 
 
 582535 
 
 509 
 
 965668 
 
 87 
 
 616867 
 
 596 
 
 383133 
 
 31 
 
 30 
 
 582840 
 
 508 
 
 965615 
 
 87 
 
 617224 
 
 595 
 
 382776 
 
 30 
 
 31 
 
 9.583145 
 
 508 
 
 9.965563 
 
 87 
 
 9 617582 
 
 595 
 
 I0i3824l8 
 
 29 
 
 32 
 
 583449 
 
 507 
 
 965511 
 
 87 
 
 617939 
 
 595 
 
 382061 
 
 28 
 
 33 
 
 583754 
 
 507 
 
 965458 
 
 '87 
 
 618295 
 
 594 
 
 381705 
 
 27 
 
 34 
 
 584058 
 
 506 
 
 965406 
 
 87 
 
 618652 
 
 594 
 
 381348 
 
 26 
 
 35 
 
 584361 
 
 506 
 
 965353 
 
 88 
 
 619008 
 
 594 
 
 380992 
 
 25 
 
 36 
 
 584665 
 
 ^6 
 
 965301 
 
 88 
 
 619364 
 
 593 
 
 380636 
 
 24 
 
 37 
 
 584968 
 
 505 
 
 965248 
 
 88 
 
 619721 
 
 593 
 
 380279- 
 
 23 
 
 38 
 
 585272 
 
 505 
 
 965195 
 
 88 
 
 620076 
 
 593 
 
 379924 
 
 22 
 
 39 
 
 585574 
 
 504 
 
 965143 
 
 88 
 
 620432 
 
 592 
 
 379568 
 
 21 
 
 40 
 
 585877 
 
 504 
 
 965090 
 
 88 
 
 620787 
 
 592 
 
 379213 
 
 20 
 
 41 
 
 9.586179 
 
 503 
 
 9.965037 
 
 88 
 
 9.621142 
 
 592 
 
 10.378858 
 
 19 
 
 42 
 
 586482 
 
 503 
 
 964984 
 
 88 
 
 621497 
 
 591 
 
 378503 
 
 18 
 
 43 
 
 586783 
 
 503 
 
 964931 
 
 88 
 
 21852 
 
 591 
 
 378148 
 
 17 
 
 44 
 
 587085 
 
 502 
 
 . 964879 
 
 88 
 
 622207 
 
 590 
 
 377793 
 
 16 
 
 45 
 
 587386 
 
 502 
 
 964826 
 
 88 
 
 622561 
 
 590 
 
 377439 
 
 15 
 
 46 
 
 587688 
 
 501 
 
 964773 
 
 88 
 
 622915 
 
 590 
 
 377085 
 
 14 
 
 47 
 
 587989 
 
 501 
 
 964719 
 
 88 
 
 623269 
 
 589 
 
 376731 
 
 13 
 
 48 
 
 588289 
 
 501 
 
 964666 
 
 89 
 
 623623 
 
 589 
 
 376377 
 
 12 
 
 49 
 
 588590 
 
 500 
 
 964613 
 
 89 
 
 623976 
 
 589 
 
 376024 
 
 11 
 
 50 
 
 588890 
 
 500 
 
 964560 
 
 89 
 
 624330 
 
 588 
 
 375670 
 
 10 
 
 51 
 
 9.589190 
 
 499 
 
 9.964507 
 
 89 
 
 9.624683 
 
 588 
 
 10.375317 
 
 9 
 
 52 
 
 589489 
 
 499 
 
 964454 
 
 89 
 
 625036 
 
 588 
 
 374964 
 
 8 
 
 53 
 
 589789 
 
 499 
 
 964400 
 
 89 
 
 625388 
 
 587 
 
 374612 
 
 7 
 
 54 
 
 590088 
 
 498 
 
 964347 
 
 89 
 
 62574 r 
 
 587 
 
 374259 
 
 6 
 
 55 
 
 590387 
 
 498 
 
 964294 
 
 89 
 
 626093 
 
 587 
 
 373907 
 
 5 
 
 56 
 
 590686 
 
 497 
 
 964240 
 
 89 
 
 626445 
 
 586 
 
 , 373555 
 
 4 
 
 57 
 
 590984 
 
 497 
 
 964187 
 
 89 
 
 626797 
 
 586 
 
 373203 
 
 3 
 
 58 
 
 591282 
 
 497 
 
 964133 
 
 89 
 
 627149 
 
 586 
 
 372851 
 
 2 
 
 59 
 
 591580 
 
 496 
 
 964080 
 
 89 
 
 627501 
 
 585 
 
 372499 
 
 1 
 
 60 
 
 5918781 496 
 
 964026 
 
 89 
 
 627852 
 
 585 
 
 372148 
 
 
 
 Cosine j Sine 
 
 Cotaiiij. 
 
 Tang. | M. 
 
 67 Degrees. 
 
SINES AND TANGENTS. (23 Degrees.) 
 
 41 
 
 M. 
 
 Sine | D. Cosine | D. | Tang. | D. ( Cotang. 
 
 
 
 
 9.591878 
 
 496 
 
 9.964026 
 
 89 
 
 9.627852 
 
 585 
 
 10.372148 
 
 60 
 
 1 
 
 592176 
 
 495 
 
 963972 
 
 89 
 
 628203 
 
 585 
 
 371797 
 
 59 
 
 2 
 
 592473 
 
 495 
 
 963919 
 
 89 
 
 628554 
 
 585 
 
 371446 
 
 58 
 
 3 
 
 596770 
 
 495 
 
 963865 
 
 90 
 
 628905 
 
 584 
 
 371095 
 
 57 
 
 4 
 
 593067 
 
 494 
 
 963811 
 
 90 
 
 629255 
 
 584 
 
 370745 
 
 56 
 
 5 
 
 593363 
 
 494 , 963757 
 
 90 
 
 629606 
 
 583 
 
 370394 
 
 55 
 
 6 
 
 593659 
 
 493 
 
 963704 
 
 90 
 
 629956 
 
 583 
 
 370044 
 
 54 
 
 7 
 
 593955 
 
 493 
 
 963650 
 
 90 
 
 630306 
 
 583 
 
 369694 
 
 53 
 
 8 
 
 594251 
 
 493 
 
 963596 90 
 
 630656 
 
 583 
 
 369344 
 
 52 
 
 9 
 
 594547 
 
 492 
 
 963542! 90 
 
 631005 
 
 582 
 
 368995 
 
 51 
 
 10 
 
 594842 
 
 492 
 
 963488 
 
 90 
 
 631355 
 
 582 
 
 368645 
 
 50 
 
 11 
 
 9.595137 
 
 491 
 
 9 . 963434 
 
 90 
 
 9.631704 
 
 582 
 
 10.368296 
 
 49 
 
 12 
 
 595432 
 
 491 
 
 963379 
 
 90 
 
 632053 
 
 581 
 
 367947 
 
 48 
 
 13 
 
 595727 
 
 491 
 
 963325 
 
 90 
 
 632401 
 
 581 
 
 367599 
 
 47 
 
 14 
 
 596021 
 
 490 
 
 963271 
 
 90 
 
 632750 
 
 581 
 
 367250 
 
 46 
 
 tfl 
 
 596315 490 
 
 9R3217 90 
 
 633098 
 
 580 
 
 366902 
 
 45 
 
 16 
 
 596609 
 
 489 
 
 903163 90 
 
 633447 
 
 580 
 
 3G6553 
 
 44 
 
 17 
 
 596903 
 
 489 
 
 963108 91 
 
 633795 
 
 580 
 
 366205 
 
 43 
 
 18 
 
 597196 
 
 489 
 
 963054 
 
 91 
 
 634143 
 
 579 
 
 365857 
 
 42 
 
 19 
 
 597490 
 
 488 
 
 962999 
 
 91 
 
 634490 
 
 579 
 
 365510 
 
 41 
 
 20 
 
 597783 
 
 488 
 
 9629451 91 
 
 634838 
 
 579 
 
 365162 
 
 40 
 
 21 
 
 9.598075 
 
 487 
 
 9.962890 
 
 91 
 
 9.635185 
 
 578 
 
 10.364815 
 
 39 
 
 22 
 
 598368 
 
 487 
 
 91)2830 
 
 91 
 
 635532 
 
 578 
 
 364468 
 
 38 
 
 23 
 
 5986601 487 
 
 962781 
 
 91 
 
 635879 
 
 578 
 
 364121 
 
 37 
 
 24 
 
 598952 486 
 
 982727 
 
 91 
 
 636226 
 
 577 
 
 363774 
 
 36 
 
 25 
 
 599244 486 
 
 962672 
 
 91 
 
 636572 
 
 577 
 
 363428 
 
 35 
 
 26 
 
 5995361 485 
 
 902617 91 
 
 636919 
 
 577 
 
 363081 
 
 34 
 
 27 
 
 599827 
 
 485 
 
 962562 
 
 91 
 
 637265 
 
 577 
 
 362735 
 
 33 
 
 28 
 
 600118 
 
 485 
 
 962508 
 
 91 
 
 637611 
 
 576 
 
 362389 
 
 32 
 
 29 
 
 600409 484 
 
 962453 
 
 91 
 
 637956 
 
 576 
 
 362044 
 
 31 
 
 30 
 
 600700 i 484 
 
 962398 
 
 92 
 
 638302 
 
 576 
 
 361698 
 
 30 
 
 31 
 
 9.600990 484 
 
 9.962343 
 
 92 
 
 9.638647 
 
 575 
 
 10.361353 
 
 29 
 
 32 
 
 601280 483 
 
 962288 92 63992 
 
 575 
 
 361008 
 
 28 
 
 33 
 
 601570 
 
 483 
 
 962233 92 
 
 6393371 575 
 
 360663 
 
 27 
 
 34 
 
 601860 
 
 482 
 
 962178! 92 
 
 639682 574 
 
 360318 
 
 26 
 
 35 
 
 602150 
 
 482 
 
 962123! 92 
 
 640027 
 
 574 
 
 359973 
 
 25 
 
 36 
 
 6024391 482 
 
 962067 
 
 92 
 
 640371 
 
 574 
 
 359629 
 
 24 
 
 37 
 
 602728 
 
 481 
 
 962012 
 
 92 
 
 640716 
 
 573 
 
 359284 
 
 23 
 
 38 
 
 603017 
 
 481 
 
 961957 
 
 92 
 
 641060 
 
 573 
 
 358940 
 
 22 
 
 39 
 
 603305 
 
 481 
 
 961902 
 
 92 
 
 641404 
 
 573 
 
 358596 
 
 21 
 
 40 
 
 603594 
 
 480 
 
 961846 
 
 92 
 
 641747 
 
 572 
 
 358253 
 
 20 
 
 41 
 
 9.603882 
 
 480 
 
 9.961791 
 
 92 
 
 9.642091 
 
 572 
 
 10.357909 
 
 19 
 
 42 
 
 604170 
 
 479 
 
 961735 
 
 92 
 
 642434 
 
 572 
 
 357566 
 
 18 
 
 43 
 
 604457 
 
 479 
 
 961680 
 
 92 
 
 642777 
 
 572 
 
 357223 
 
 17 
 
 44 
 
 604745 
 
 479 
 
 961624 
 
 93 
 
 643120 
 
 571 
 
 356880 
 
 16 
 
 45 605032 
 
 478 
 
 961 569 j 93 
 
 643463 
 
 571 
 
 356537 
 
 15 
 
 46 605319 
 
 478 
 
 9615131 93 
 
 643806 
 
 571 
 
 356194 
 
 14 
 
 47 
 
 605606 
 
 478 
 
 961458 
 
 93 
 
 644148 
 
 570 
 
 355852 
 
 13 
 
 48 
 
 605892 
 
 477 
 
 961402 
 
 93 
 
 644490 
 
 570 
 
 355510 
 
 12 
 
 49 
 
 606179 477 
 
 961346 93 
 
 644832 
 
 570 
 
 355168 
 
 11 
 
 50 
 
 606465 476 961290] 93 
 
 645174 
 
 569 
 
 354826 
 
 10 
 
 51 
 
 9.6067MJ 476 
 
 9. 961235! 93 
 
 9.645516 
 
 569 
 
 10.354484 
 
 ~9 
 
 52 
 
 6070361 476 
 
 961179 
 
 93 
 
 645857 
 
 569 
 
 354143 
 
 $ 
 
 53 
 
 607322 
 
 475 
 
 961123 
 
 93 
 
 646199 
 
 5G9 
 
 353801 
 
 7 
 
 54 
 
 607607 
 
 475 
 
 961067 
 
 93 
 
 646540 
 
 568 
 
 353460 
 
 6 
 
 55 
 
 607892 
 
 474 
 
 961011 
 
 93 
 
 646881 
 
 568 
 
 353J19 
 
 5 
 
 56 
 
 608177 
 
 474 
 
 960955 
 
 93 
 
 647222 
 
 568 
 
 352778 
 
 4 
 
 57 
 
 608461 
 
 474 
 
 960899 
 
 93 
 
 647562 
 
 5 7 
 
 352438 
 
 3 
 
 58 
 
 608745 
 
 473 
 
 960843 
 
 94 
 
 647903 
 
 567 
 
 352097 
 
 2 
 
 59 
 
 609029 
 
 473 
 
 960786 
 
 94 
 
 648243 
 
 567 
 
 351757 
 
 1 
 
 60 
 
 609313 
 
 473 
 
 960730 
 
 94 
 
 648583 
 
 566 
 
 351417 
 
 
 
 (.'sine Sine 
 
 Cnlans. 1 
 
 Tang- 
 
 M. 
 
 4* 
 
 6G Degic-t 
 
(24 Degrees.) A TABLE OF LOGARITHMIC 
 
 M. 
 
 Sine D. ( Cosine | D. 
 
 Tang. | D. 
 
 Cotang. 
 
 
 
 
 9.609313 
 
 473 
 
 9.960730 
 
 94 
 
 9.648583 
 
 566 
 
 10.351417 
 
 60 
 
 1 
 
 6O9597 
 
 472 
 
 960674 
 
 94 
 
 648923 
 
 566 
 
 351077 
 
 59 
 
 2 
 
 609880 
 
 472 
 
 960618 
 
 94 
 
 649263 
 
 566 
 
 350737 
 
 58 
 
 3 
 
 610164 
 
 472 
 
 960561 
 
 94 
 
 649602 
 
 566 350398 
 
 57 
 
 4 
 
 610447 
 
 471 
 
 960505 
 
 94 
 
 649942 
 
 565 
 
 350058 
 
 56 
 
 5 
 
 610729 
 
 471 
 
 960448 
 
 94 
 
 650281 
 
 565 
 
 349719 
 
 55 
 
 6- 
 
 611012 
 
 470 
 
 960392 
 
 94 
 
 650620 
 
 565 
 
 349-380 
 
 54 
 
 7 
 
 611294 
 
 470 
 
 960335 
 
 94 
 
 650959 
 
 564 
 
 349041 
 
 53 
 
 8 
 
 611576 
 
 470 
 
 960279 
 
 94 
 
 651297 
 
 564 
 
 348703 
 
 52 
 
 9 
 
 611858 
 
 469 
 
 960222 
 
 94 
 
 651636 
 
 564 
 
 348364 
 
 51 
 
 10 
 
 612140 
 
 469 
 
 960165 
 
 94 
 
 651974 
 
 563 
 
 348026 
 
 50 
 
 11 
 
 9.612421 
 
 469 
 
 9.960109 
 
 95 
 
 9,652312 
 
 563 
 
 10.347688 
 
 49 
 
 12 
 
 612702 
 
 468 
 
 960052 
 
 95 
 
 652650 
 
 563 
 
 347350 
 
 48 
 
 13 
 
 61 2983 468 
 
 959995 
 
 95 
 
 652988 
 
 563 
 
 347012 
 
 47 
 
 14 
 
 613264 467 
 
 959938 
 
 95 
 
 653326 
 
 562 
 
 346674 
 
 46 
 
 15 
 
 613545 
 
 467 
 
 959882 
 
 95 
 
 653663 
 
 562 
 
 346337 
 
 45 
 
 16 
 
 613825 
 
 467 
 
 959825 
 
 95 
 
 654000 
 
 562 
 
 346000 
 
 44 
 
 17 
 
 614105 
 
 466 
 
 959768 
 
 95 
 
 654337 
 
 561 
 
 345663 
 
 43 
 
 18 
 
 614385 
 
 466 
 
 959711 
 
 95 
 
 654674 
 
 561 
 
 345326 
 
 42 
 
 19 
 
 614665 
 
 466 
 
 959654 
 
 95 
 
 655011 
 
 561 
 
 344989 
 
 41 
 
 20 
 
 614944 
 
 465 
 
 &59S96 
 
 95 
 
 655348 
 
 561 
 
 344652 
 
 40 
 
 21 
 
 9.615223 
 
 465 
 
 9,959539 
 
 95 
 
 9.655684 
 
 560 
 
 10.344316 
 
 39 
 
 22 
 
 615502 
 
 465 
 
 959482 
 
 95 
 
 656020 
 
 560 
 
 343980 
 
 38" 
 
 23 
 
 615781 
 
 464 
 
 959425 
 
 95 
 
 656356 
 
 560 
 
 343644 
 
 37 
 
 24 
 
 616060 
 
 464 
 
 958368 
 
 95 
 
 656692 
 
 559 
 
 343308 
 
 36 
 
 25 
 
 616338 
 
 464 
 
 959310 
 
 96 
 
 657028 
 
 559 
 
 342972 
 
 35 
 
 26 
 
 616616 
 
 463 
 
 959253 
 
 96 
 
 K57364 
 
 559 
 
 342636 
 
 34 
 
 27 
 
 616894 
 
 4S3 
 
 959195 
 
 96 
 
 657699 
 
 559 
 
 342301 
 
 33 
 
 28 
 
 617172 
 
 462 
 
 959138 
 
 96 
 
 658034 
 
 558 
 
 341966 
 
 32 
 
 29 
 
 617450 
 
 462 
 
 959081 
 
 96 
 
 658369 
 
 558 
 
 341631 
 
 31 
 
 30 
 
 617727 
 
 462 
 
 959023 
 
 96 
 
 658704 
 
 558 
 
 341296 
 
 30 
 
 31 
 
 9.618004 
 
 461 
 
 9.958965 
 
 96 
 
 9.659039 
 
 558 
 
 10.340961 
 
 29 
 
 32 
 
 618281 
 
 461 
 
 958908 
 
 96 
 
 659373 
 
 557 
 
 340627 
 
 28 
 
 33 
 
 618558 
 
 461 
 
 958850 
 
 96 
 
 659708 
 
 557 
 
 34029-2 
 
 27 
 
 34 
 
 618834 
 
 460 
 
 958792 
 
 96 
 
 660042 
 
 557 
 
 339958 
 
 26 
 
 35 
 
 619110 
 
 460 
 
 958734 
 
 96 
 
 660376 
 
 557 
 
 339624 
 
 25 
 
 36 
 
 619386 
 
 460 
 
 958677 
 
 96 
 
 660710 
 
 556 
 
 339290 
 
 24 
 
 37 
 
 619G62 459 
 
 958619 
 
 9fi 
 
 661043 
 
 556 
 
 338957 
 
 23 
 
 38 
 
 619938 459 
 
 958561 
 
 96 
 
 661377 
 
 556 
 
 338623 
 
 22 
 
 39 
 
 620213 
 
 459 
 
 958503 
 
 97 
 
 601710 555 
 
 338290 
 
 21 
 
 40 
 
 620488 
 
 458 
 
 958445 
 
 97 
 
 662043 555 
 
 337957 
 
 20 
 
 41 
 
 9.620763! 458 
 
 9 . 958387 
 
 97 
 
 9 662376 
 
 555 
 
 10.337624 
 
 19 
 
 42 
 
 621038 457 
 
 958329 
 
 97 
 
 662709 
 
 554 337291 
 
 18 
 
 43 
 
 621313 
 
 457 
 
 958271! 97 
 
 663042 
 
 554 
 
 336958 
 
 17 
 
 44 
 
 621587 
 
 457 
 
 958213 
 
 97 
 
 663375 
 
 554 
 
 336625 
 
 16 
 
 45 
 
 621861 
 
 456 
 
 958154 
 
 97 
 
 663707 
 
 554 
 
 336293 
 
 15 
 
 46 
 
 622135 
 
 456 
 
 958096 
 
 97 
 
 664039 
 
 553 
 
 335961 
 
 14 
 
 47 
 
 622409 
 
 456 
 
 958038 
 
 97 
 
 664371 
 
 553 
 
 335629 
 
 13 
 
 48 
 
 622682 
 
 455 
 
 957979 
 
 97 
 
 664703 
 
 553 
 
 335297 
 
 12 
 
 49 
 
 622956 
 
 455 
 
 957921 
 
 97 
 
 665035 
 
 553 
 
 334965 
 
 11 
 
 50 
 
 623229 
 
 455 
 
 957863 
 
 97 
 
 665366 552 
 
 334634 
 
 10 
 
 51 
 
 9.6235021 454 
 
 9.957804 
 
 9V 
 
 9.665697 
 
 552 
 
 107334303 
 
 9 
 
 52 
 
 623774! 454 
 
 957746 
 
 98 
 
 666029 
 
 552 
 
 333971 
 
 8 
 
 53 
 
 624047 
 
 454 
 
 957687 
 
 98 
 
 6663601 551 
 
 333640 
 
 7 
 
 54 
 
 624319 
 
 453 
 
 957628 
 
 98 
 
 666691 
 
 551 
 
 333309 
 
 6 
 
 55 
 
 6245911 453 
 
 957570 
 
 98 
 
 667021 
 
 551 
 
 332979 
 
 5 
 
 56 
 
 624863 453 
 
 957511 
 
 98 
 
 667352 
 
 ' 551 
 
 332648 
 
 4 
 
 57 
 
 6251351 452 
 
 957452 
 
 98 
 
 667682 
 
 550 
 
 332318 
 
 3 
 
 58 
 
 625406 452 
 
 957393 
 
 98 
 
 668013 
 
 550 
 
 331987 
 
 2 
 
 59 
 
 625677 452 
 
 957335 
 
 98 
 
 668343 
 
 550 
 
 331657 
 
 1 
 
 60 
 
 6259481 451 
 
 957276 98 
 
 668672 
 
 550 
 
 331328 
 
 
 
 
 Cosine Sine 1 I Cotang. 
 
 | Tang. | M. 
 
 65 Degrees. 
 
SINES AND TANGENTS. (26 Degrees.) 
 
 M. | Sine I). Cosine D. Tang. D. Cotang. j 
 
 
 
 9.625948 
 
 451 
 
 9.957276 
 
 98 1 9.668673 
 
 550 
 
 10.331327i 60 
 
 1 
 
 626219 
 
 451 
 
 957217 
 
 98' 669002 
 
 549 
 
 330998 
 
 59 
 
 2 
 
 626490 
 
 451 
 
 957158 
 
 98 
 
 669332 
 
 549 
 
 330668 
 
 58 
 
 3 
 
 626760 
 
 450 
 
 957099 
 
 98 
 
 669661 
 
 549 
 
 330339 
 
 57 
 
 4 
 
 627030 
 
 450 
 
 957040 
 
 98 
 
 669991 
 
 548 
 
 330009 
 
 56 
 
 5 
 
 627300 
 
 450 
 
 956981 
 
 98 
 
 670320 
 
 548 
 
 329680 
 
 55 
 
 6 
 
 627570 
 
 449 
 
 956921 
 
 99 
 
 670649 
 
 548 
 
 329351 
 
 54 
 
 7 
 
 627840 
 
 449 
 
 956862 
 
 99 
 
 670977 
 
 548 
 
 329023 
 
 53 
 
 8 
 
 628109 
 
 449 
 
 956803 
 
 99 
 
 671306 
 
 547 
 
 328694 
 
 52 
 
 9 
 
 628378 
 
 448 
 
 956744 
 
 99 
 
 671634 
 
 547 
 
 - 328366 
 
 51 
 
 10 
 
 628647 
 
 448 
 
 956684 
 
 99 
 
 671963 
 
 547 
 
 328037 
 
 50 
 
 11 
 
 9.628916 
 
 447 
 
 9.956625 
 
 99 
 
 9.672291 
 
 547 
 
 10.327709 
 
 49 
 
 12 
 
 629185 
 
 447 
 
 956566 
 
 99 
 
 672619 
 
 546 
 
 327381 
 
 48 
 
 13 
 
 629453 
 
 447 
 
 956506 
 
 99 
 
 672947 
 
 546 
 
 327053 
 
 47 
 
 14 
 
 629721 
 
 446 
 
 956447 
 
 99 
 
 673274 
 
 546 
 
 326726 
 
 46 
 
 15 
 
 629989 
 
 446 
 
 956387 
 
 99 
 
 673602 
 
 546 
 
 326398 
 
 45 
 
 16 
 
 630257 
 
 446 
 
 956327 
 
 99 
 
 673929 
 
 545 
 
 326071 
 
 44 
 
 17 
 
 630524 
 
 446 
 
 956268 
 
 99 
 
 674257 
 
 545 
 
 325743 
 
 43 
 
 18 
 
 630792 
 
 445 
 
 956208 
 
 100 
 
 674584 
 
 545 
 
 325416 
 
 42 
 
 19 
 
 631059 
 
 445 
 
 956148 
 
 100 
 
 674910 
 
 544 
 
 325090 
 
 41 
 
 20 
 
 631326 
 
 445 
 
 956089 
 
 100 
 
 675237 
 
 544 
 
 324763 
 
 40 
 
 21 
 
 9.631593 
 
 444 
 
 9.956029 
 
 100 
 
 9.675564 
 
 544 
 
 10.324436 
 
 39 
 
 22 
 
 631859 
 
 444 
 
 955969 
 
 100 
 
 675890 
 
 544 
 
 324110 
 
 38 
 
 23 
 
 632125 
 
 444 i 955909 
 
 100 
 
 676216 
 
 543 
 
 323784 
 
 37 
 
 24 
 
 632392 
 
 443 
 
 955849 
 
 100 
 
 676543 
 
 543 
 
 323457 
 
 36 
 
 25 
 
 632658 
 
 443 
 
 955789 
 
 100 
 
 676869 
 
 543 
 
 323131 
 
 35 
 
 26 
 
 632923 
 
 443 
 
 955729 
 
 100 
 
 677194 
 
 543 
 
 322806 
 
 34 
 
 27 
 
 633189 
 
 442 
 
 955669 
 
 100 
 
 677520 
 
 542 
 
 322480 
 
 33 
 
 28 
 
 633454 
 
 442 
 
 955609 
 
 100 
 
 677846 
 
 542 
 
 322154 
 
 32 
 
 29 
 
 633719 
 
 442 
 
 955548 
 
 100! 678171 
 
 542 
 
 321829 
 
 31 
 
 30 
 
 633984 
 
 441 
 
 955488 
 
 100 
 
 678496 
 
 542 
 
 321504 
 
 30 
 
 31 
 
 9 . 634249 
 
 441 
 
 9.955428 
 
 101 
 
 9.678821 
 
 541 
 
 10.321179 
 
 29 
 
 32 
 
 634514 
 
 440 
 
 955368 
 
 101 
 
 679146 
 
 54-1 
 
 320854 
 
 28 
 
 33 
 
 634778 
 
 440 
 
 955307 
 
 101 
 
 679471 
 
 541 
 
 320529 
 
 27 
 
 34 
 
 635042 
 
 440 
 
 955247 
 
 101 
 
 679795 
 
 541 
 
 320205 
 
 26 
 
 35 
 
 635306 
 
 439 
 
 955186 
 
 101 
 
 680120 
 
 540 
 
 319880 
 
 25 
 
 36 
 
 63557( 
 
 439 
 
 955126 
 
 101 
 
 680444 
 
 540 
 
 319556 
 
 24 
 
 37 
 
 635834 
 
 439 
 
 955065 
 
 101 
 
 680768 
 
 540 
 
 319232 
 
 23 
 
 38 
 
 636097 
 
 438 
 
 955005 
 
 101 
 
 681092 
 
 540 
 
 318908 
 
 22 
 
 39 
 
 636360 
 
 438 
 
 954944 
 
 101 
 
 681416 
 
 539 
 
 318584 
 
 21 
 
 40 
 
 636623 
 
 438 
 
 954883 
 
 101 
 
 681740 
 
 5C n 
 
 318260 
 
 20 
 
 41 
 
 9.636886 
 
 437 
 
 9 954823 
 
 10 l! 9. 682063 
 
 539 
 
 10.317937 
 
 19 
 
 42 
 
 637148 
 
 437 
 
 954762 
 
 101 
 
 682387 
 
 539 
 
 317613 
 
 18 
 
 43 
 
 6374111 437 
 
 95470 i 
 
 101 
 
 682710 
 
 538 
 
 317290 
 
 17 
 
 44 
 
 637673 
 
 437 
 
 954640 
 
 101 
 
 683033 
 
 538 
 
 316967 
 
 16 
 
 45 
 
 637935 
 
 436 
 
 954579 
 
 101 
 
 683356 
 
 538 
 
 316644 
 
 15 
 
 46 
 
 638 197 
 
 436 
 
 954518 
 
 102 
 
 683679 
 
 538 
 
 316321 
 
 14 
 
 47 
 
 638458 
 
 436 
 
 954457 
 
 102 
 
 684001 
 
 537 
 
 315999 
 
 13 
 
 48 
 
 63S720 
 
 435 
 
 95439P 
 
 102 
 
 684324 
 
 537 
 
 315676 
 
 12 
 
 49 
 
 638981 
 
 435 
 
 954335 
 
 102 
 
 684646 
 
 537 
 
 315354 
 
 11 
 
 50 
 
 639242 
 
 435 
 
 954274 
 
 102 
 
 684968 
 
 537 
 
 315032 
 
 10 
 
 51 
 
 9.639503 
 
 434 
 
 9.95421o 
 
 102 
 
 9.685290 
 
 536 
 
 10.314710 
 
 9 
 
 52 
 
 639764 
 
 434 
 
 954152 
 
 102 f 685612 
 
 536 
 
 314388 
 
 8 
 
 53 
 
 640024 
 
 434 
 
 954090 
 
 102 
 
 685934 
 
 536 
 
 314066 
 
 1 
 
 54 
 
 640284 
 
 433 
 
 954029 
 
 102 
 
 686255 
 
 536 
 
 313745 
 
 ( 
 
 55 
 
 640544 
 
 433 
 
 953968 
 
 102 
 
 68657? 
 
 C35 
 
 313423 
 
 
 56 
 
 640804 
 
 433 
 
 95390 
 
 102 
 
 686898 
 
 535 
 
 313102 
 
 
 57 
 
 641064 
 
 432 
 
 95384 
 
 102 
 
 687219 
 
 535 
 
 312781 
 
 [ 
 
 58 
 
 641324 
 
 432 
 
 95378. 
 
 102 
 
 687540 535 
 
 312461 
 
 < 
 
 59 
 
 641584 
 
 - 432 
 
 95372' 
 
 103 
 
 6878611 534 
 
 31213! 
 
 
 60 
 
 64184$ 
 
 431 i 95366C 
 
 103 6881821 534 
 
 31181S 
 
 
 1 Cosine 
 
 
 Sine 
 
 Cotang. 
 
 Tang. j M. 
 
 64 Degrets. 
 
44 
 
 Degrees.; A TABLE OF LOGARITHMIC 
 
 M. Sine D. Cosine | D. | Tane. 
 
 D, Cotang. 
 
 
 
 
 9.641842 
 
 431 
 
 9.953660 
 
 103 
 
 9.688182 
 
 534 
 
 10.311818 
 
 60 
 
 1 
 
 642101 
 
 431 
 
 953599 
 
 103 
 
 688502 
 
 534 
 
 311498 
 
 59 
 
 2 
 
 642360 
 
 431 
 
 953537 
 
 103 
 
 688823 
 
 534 
 
 311177 
 
 58 
 
 3 
 
 642618 
 
 430 
 
 953475 
 
 103 
 
 689143 
 
 533 
 
 310857 
 
 57 
 
 4 
 
 642877 
 
 430 
 
 953413 
 
 103 
 
 689463 
 
 533 
 
 310537 
 
 56 
 
 5 
 
 643135 
 
 430 
 
 953352 
 
 103 
 
 689783 
 
 533 
 
 310217 
 
 55 
 
 6 
 
 643393 
 
 430 
 
 953290 
 
 103 
 
 690103 
 
 533 
 
 309897 
 
 54 
 
 7 
 
 643650 
 
 429 
 
 953228 
 
 103 
 
 690423 
 
 533 
 
 309577 
 
 53 
 
 8 
 
 643908 429 
 
 953166 
 
 103 
 
 690742 
 
 532 
 
 309258 
 
 52 
 
 9 
 
 644165 
 
 429 
 
 953104 
 
 103 
 
 691062 
 
 532 
 
 308938 
 
 51 
 
 10 
 
 644423 
 
 428 
 
 953042 
 
 103 
 
 691381 
 
 532 
 
 308619 
 
 50 
 
 11 
 
 9.644680 428 
 
 9.952980 
 
 104 
 
 9.691700 
 
 531 
 
 10.308300 
 
 49 
 
 12 
 
 644936 | 428 
 
 952918 
 
 104 
 
 692019 
 
 531 
 
 307981 
 
 48 
 
 13 
 
 645193 427 
 
 952855 
 
 104 
 
 692338 
 
 531 
 
 307662 
 
 47 
 
 14 
 
 645450 
 
 427 
 
 952793 
 
 104 
 
 692656 
 
 531 
 
 307344 
 
 46 
 
 15 
 
 645706 
 
 427 
 
 952731 
 
 104 
 
 692975 
 
 531 
 
 307025- 
 
 45 
 
 16 
 
 645962 
 
 426 
 
 952669 
 
 104 
 
 693293 
 
 530 
 
 306707 
 
 44 
 
 17 
 
 646218 
 
 426 
 
 952606 
 
 104 
 
 693612 
 
 530 
 
 306388 
 
 43 
 
 18 
 
 646474 
 
 426 
 
 952544 
 
 1041 693930 
 
 530 
 
 306070 
 
 42 
 
 19 
 
 646729 
 
 425 
 
 952481 
 
 104 
 
 694248 
 
 530 
 
 305752 
 
 41 
 
 20 
 
 646984 
 
 425 
 
 952419 
 
 104 
 
 694566 
 
 529 
 
 305434 
 
 40 
 
 21 
 
 9.647240 
 
 425 
 
 9.952356 
 
 104 
 
 9 . 694883 
 
 529 
 
 10.3'05117 
 
 39 
 
 22 
 
 647494 
 
 424 
 
 952294 
 
 104 
 
 695201 
 
 529 
 
 304799 
 
 38 
 
 23 
 
 647749 
 
 424 
 
 952231 
 
 104 
 
 695518 
 
 529 
 
 304482 
 
 37 
 
 24 
 
 648004 
 
 424 
 
 952168 
 
 105 
 
 695836 
 
 529 
 
 304164 
 
 36 
 
 35 
 
 648258 
 
 424 
 
 952106 
 
 105 
 
 696153 
 
 528 
 
 303847 
 
 35 
 
 26 
 
 648512 
 
 423 
 
 952043 
 
 105 
 
 696470 
 
 528 
 
 303530 
 
 34 
 
 27 
 
 648766 
 
 423 
 
 951980 
 
 105 
 
 696787 
 
 528 
 
 303213 
 
 33 
 
 28 
 
 649020 
 
 423 
 
 951917 
 
 105 
 
 697103 
 
 528 
 
 302897 
 
 32 
 
 29 
 
 649274 
 
 422 
 
 951854 
 
 105 i 697420 
 
 527 
 
 302580 
 
 31 
 
 30 
 
 649527 
 
 422 
 
 951791 
 
 105 
 
 697736 
 
 527 
 
 302264 
 
 30 
 
 31 
 
 9.649781 
 
 422 
 
 9.951728 
 
 105 ST. 698053 
 
 527 
 
 10.301947 
 
 29 
 
 32 
 
 650034 
 
 422 
 
 951665 
 
 105 
 
 698369| 527 
 
 301631 
 
 28 
 
 33 
 
 650287 
 
 421 
 
 951602 
 
 105 
 
 698685 
 
 526 
 
 301315 
 
 27 
 
 34 
 
 650539 
 
 421 
 
 951539 
 
 105 699001 
 
 526 
 
 300999 
 
 26 
 
 35 
 
 650792 
 
 421 
 
 951476 
 
 105! 699316 
 
 526 
 
 300684 
 
 25 
 
 36 
 
 651044 
 
 420 
 
 951412 
 
 105 699632 
 
 526 
 
 300368 
 
 24 
 
 37 
 
 651297 
 
 420 
 
 951349 
 
 1061 699947 
 
 526 
 
 300053 
 
 23 
 
 38 
 
 651549 
 
 420 
 
 951286 
 
 106 700263 
 
 525 
 
 299737 
 
 22 
 
 39 
 
 651800 
 
 419 
 
 951222 
 
 106 700578 
 
 525 
 
 299422 
 
 21 
 
 40 
 
 652052 
 
 419 
 
 951159 
 
 106 700893) 525 
 
 299107 
 
 20 
 
 41 
 
 9.652304 
 
 419 
 
 9.951096 
 
 106 9.701208 
 
 524 
 
 10.298792 
 
 19 
 
 42 
 
 652555 
 
 418 
 
 951032 
 
 106 701523 
 
 524 
 
 298477 
 
 18 
 
 43 
 
 652806 
 
 418 
 
 950968 
 
 106 701837 524 
 
 298163 
 
 17 
 
 44 
 
 653057 
 
 418 
 
 950905 
 
 106 702152 524 
 
 297848 
 
 16 
 
 45 
 
 653308 
 
 418 
 
 950841 
 
 106 702466 524 
 
 297534 
 
 15 
 
 46 
 
 653558 
 
 417 
 
 950778 
 
 106^ 702780 523 
 
 297220 
 
 14 
 
 47 
 
 653808 
 
 417 
 
 950714 
 
 106| 703095 523 
 
 296905 
 
 13 
 
 48 
 
 654059 
 
 417 
 
 950650 
 
 106' 703409: 523 
 
 296591 
 
 12 
 
 49 
 
 654309 
 
 416 
 
 950586 
 
 106 7037231 523 
 
 296277 
 
 11 
 
 50 
 
 654558 
 
 416 
 
 950522 
 
 107 704036! 522 
 
 295964 
 
 10 
 
 51 
 
 9.654808 
 
 416 
 
 9.950458 
 
 1079.704350 522 
 
 10.295650 
 
 9 
 
 52 
 
 655058 
 
 416 
 
 950394 
 
 107 704663; 522 
 
 295337 
 
 8 
 
 53 
 
 6553071 415 
 
 950330 
 
 107; 704977^ 522 
 
 295023 
 
 ? 
 
 54 
 
 6555561 415 
 
 950266 
 
 107 705290 522 
 
 294710 
 
 6 
 
 55 
 
 655805: 415 
 
 950202 
 
 107 705603 521 
 
 294397 
 
 5 
 
 56 
 
 656054i 414 
 
 950138 
 
 107! 705916 521 
 
 294084 
 
 4 
 
 57 
 
 656302! 414 
 
 950074 
 
 107 706228' 521 
 
 293772 
 
 3 
 
 58 
 
 656551! 414 
 
 950010 
 
 107, 706541 
 
 521 
 
 293459 
 
 2 
 
 59 
 
 656799 413 
 
 949345 
 
 107, 706854 
 
 521 
 
 293146 
 
 1 
 
 60 
 
 6570471 413 
 
 949881 
 
 107i 707166 
 
 520 
 
 292834 
 
 
 
 | Cosine I 
 
 Sine | | Ootang. | 
 
 Tang. M. 
 
 C3 Decrees. 
 
SINES ANP TANGENTS. 
 
 Degrees.) 
 
 45 
 
 M 
 
 Sine | . I) | Cosine D | Tang. | D. Cotang. | 
 
 
 
 9.657047 
 
 413 
 
 9.949881 
 
 J07 
 
 9.707166 
 
 520 
 
 10.292834 
 
 60 
 
 
 657295 
 
 413 
 
 949816 
 
 107 
 
 707478 
 
 520 
 
 292522 
 
 59 
 
 2 
 
 657542 
 
 412 
 
 949752 
 
 107 
 
 707790 
 
 520 
 
 292210 
 
 58 
 
 3 
 
 657790 
 
 412 
 
 949688 
 
 108 
 
 708102 
 
 520 
 
 291898 
 
 57 
 
 4 
 
 658037 
 
 412 
 
 949623 
 
 108 
 
 708414 
 
 519 
 
 291586 
 
 56 
 
 5 
 
 658284 
 
 412 
 
 949558 
 
 108 
 
 708726 
 
 519 
 
 291274 
 
 55 
 
 6 
 
 658531 
 
 411 
 
 949494 
 
 108 
 
 709037 
 
 519 
 
 290963 
 
 54 
 
 7 
 
 658778 
 
 411 
 
 949429 
 
 108 
 
 709349 
 
 519 
 
 290651 
 
 53 
 
 8 
 
 659025 
 
 411 
 
 949364 
 
 108 
 
 709660 
 
 519 
 
 290340 
 
 52 
 
 9 
 
 659271 
 
 410 
 
 949300 
 
 108 
 
 709971 
 
 518 
 
 290029 
 
 51 
 
 10 
 
 659517 
 
 410 
 
 949235 
 
 108 
 
 710282 
 
 518 
 
 289718 
 
 50 
 
 11 
 
 9.659763 
 
 410 
 
 9.949170 
 
 108 
 
 9.710593 
 
 518 
 
 10.289407 
 
 49 
 
 12 
 
 660009 
 
 409 
 
 949105 
 
 108 
 
 710904 
 
 518 
 
 289096 
 
 48 
 
 13 
 
 660255 
 
 409 
 
 949040 
 
 108 
 
 711215 
 
 518 
 
 288785 
 
 47 
 
 14 
 
 660501 
 
 409 
 
 948975 
 
 108 
 
 711525 
 
 517 
 
 288475 
 
 46 
 
 15 
 
 660746 
 
 409 
 
 948910 
 
 108 
 
 711836 
 
 517 
 
 288164 
 
 45 
 
 16 
 
 660991 
 
 408 
 
 948845 
 
 108 
 
 712146 
 
 517 
 
 287854 
 
 44 
 
 17 
 
 661236 
 
 408 
 
 948780 
 
 109 
 
 712456 
 
 517 
 
 287544 
 
 43 
 
 18 
 
 661481 
 
 408 
 
 948715 
 
 109 
 
 712766 
 
 516 
 
 287234 
 
 42 
 
 19 
 
 661726 
 
 407 
 
 948650 
 
 109 
 
 713076 
 
 516 
 
 286924 
 
 41 
 
 20 
 
 661970 
 
 407 
 
 948584 
 
 109 
 
 713386 
 
 516 
 
 286614 
 
 40 
 
 21 
 
 9.662214 
 
 407 
 
 9.948519 
 
 1Q9 
 
 9.713696 
 
 516 
 
 10.286304 
 
 39 
 
 22 
 
 662459 
 
 407 
 
 948454 
 
 109 
 
 714005 
 
 516 
 
 285995 
 
 38 
 
 23 
 
 662703 
 
 406 
 
 948388 
 
 109 
 
 714314 
 
 515 
 
 285686 
 
 37 
 
 24 
 
 662946 
 
 406 
 
 948323 
 
 109 
 
 714624 
 
 515 
 
 285376 
 
 36 
 
 25 
 
 663190 
 
 406 
 
 948257 
 
 109 
 
 714933 
 
 515 
 
 28506? 
 
 35 
 
 26 
 
 663433 
 
 405 
 
 948192 
 
 109 
 
 715242 
 
 515 
 
 284758 
 
 34 
 
 27 
 
 663677 
 
 405 
 
 948126 
 
 109 
 
 715551 
 
 514 
 
 284449 
 
 33 
 
 28 
 
 663920 
 
 405 
 
 948060 
 
 109 
 
 715860 
 
 514 
 
 284140 
 
 32 
 
 29 
 
 '664163 
 
 405 
 
 947995 
 
 110 
 
 716168 
 
 514 
 
 283832 
 
 31 
 
 30 
 
 664406 
 
 404 
 
 947929 
 
 110 
 
 716477 
 
 514 
 
 283523 
 
 30 
 
 31 
 
 9.664648 
 
 404 
 
 9.947863 
 
 no 
 
 9.716785 
 
 514 
 
 10.283215 
 
 29 
 
 32 
 
 664891 
 
 404 
 
 947797 
 
 110 
 
 717093 
 
 513 
 
 282907 
 
 28 
 
 33 
 
 665133 
 
 403 
 
 947731 
 
 110 
 
 717401 
 
 513 
 
 282599 
 
 27 
 
 34 
 
 665375 
 
 403 
 
 947665 
 
 110 
 
 717709 
 
 513 
 
 282291 
 
 26 
 
 35 
 
 665617 
 
 403 
 
 947600 
 
 110 
 
 718017 
 
 513 
 
 281983 
 
 25 
 
 36 
 
 665859 
 
 402 
 
 947533 
 
 110 
 
 718325 
 
 513 
 
 281675 
 
 24 
 
 37 
 
 666100 
 
 402 
 
 947467 
 
 110 
 
 718633 
 
 512 
 
 281367 
 
 23 
 
 38 
 
 666342 
 
 402 
 
 947401 
 
 110 
 
 718940 
 
 512 
 
 281060 
 
 22 
 
 39 
 
 666583 
 
 402 
 
 947335 
 
 110 
 
 719248 
 
 512 
 
 280752 
 
 21 
 
 40 
 
 666824 
 
 401 
 
 947269 
 
 110 
 
 719555 
 
 512 
 
 280445 
 
 20 
 
 41 
 
 9.667065 
 
 401 
 
 9.947203 
 
 110 
 
 9.719862 
 
 512 
 
 10.280138 
 
 19 
 
 42 
 
 667305 
 
 401 
 
 947136 
 
 111 
 
 720169 
 
 511 
 
 279831 
 
 18 
 
 43 
 
 667546 
 
 401 
 
 947070 
 
 111 
 
 720476 
 
 511 
 
 279524 
 
 17 
 
 44 
 
 ' 667786 
 
 400 
 
 947004 
 
 111 
 
 720783 
 
 511 
 
 279217 
 
 16 
 
 45 
 
 668027 
 
 400 
 
 946937 
 
 111 
 
 721089 
 
 511 
 
 278911 
 
 15 
 
 46 
 
 668267 
 
 400 
 
 946871 
 
 111 
 
 721396 
 
 511 
 
 278604 
 
 14 
 
 47 
 
 668506 
 
 399 
 
 946804 
 
 111 
 
 721702 
 
 510 
 
 278298 
 
 13 
 
 48 
 
 668746 
 
 399 
 
 946738 
 
 111 
 
 722009 
 
 510 
 
 277991 
 
 12 
 
 49 
 
 668986 
 
 399 
 
 946671 
 
 111 
 
 722315 
 
 510 
 
 277685 
 
 11 
 
 50 
 
 669225 
 
 399 
 
 946604 
 
 111 
 
 722621 
 
 510 
 
 277379 
 
 10 
 
 51 
 
 9.669464 
 
 398 
 
 9.946538 
 
 111 
 
 9.722927 
 
 510 
 
 10.277073 
 
 9 
 
 52 
 
 669703 
 
 398 
 
 946471 
 
 111 
 
 723232 
 
 509 
 
 276768 
 
 8 
 
 53 
 
 669942 
 
 398 
 
 946404 
 
 111 
 
 723538 
 
 509 
 
 276462 
 
 7 
 
 54 
 
 670181 
 
 397 
 
 946337 
 
 111 
 
 723844 
 
 509 
 
 276156 
 
 6 
 
 55 
 
 670419 
 
 397 
 
 946270 
 
 112 
 
 724149 
 
 509 
 
 275851 
 
 5 
 
 56 
 
 670658 
 
 397 
 
 946203 
 
 112 
 
 724454 
 
 509 
 
 275546 
 
 4 
 
 57 
 
 670896 
 
 397 
 
 946136 
 
 112 
 
 724759 
 
 508 
 
 275241 
 
 3 
 
 58 
 
 671134 
 
 396 
 
 946069 
 
 112 
 
 725065 
 
 508 
 
 274935 
 
 2 
 
 59 
 
 671372 
 
 396 
 
 946002 
 
 112 
 
 725369 
 
 508 
 
 274631 
 
 1 
 
 60 
 
 671609 
 
 396 
 
 945935 
 
 112 
 
 725674 
 
 508 
 
 274326 
 
 
 
 Cosine 
 
 
 Sine | 
 
 Cotang. 
 
 | Tang. | M. 
 
 62 Degrees. 
 
46 
 
 (28 Degrees. ) A TABLE OP LOGARITHMIC 
 
 M. Sine | D. 1 Conine | D. | Tane. H. | Cotans. | 
 
 
 
 9.67160S 
 
 396 
 
 9.945935 
 
 112 
 
 9.725674 
 
 508 1 10.274323 
 
 60 
 
 1 
 
 671847 
 
 395 
 
 945868 
 
 112 
 
 725979 
 
 508 1 274021 
 
 59 
 
 2 
 
 672084 
 
 395 
 
 945800 
 
 112 
 
 726284 
 
 507 
 
 273716 
 
 58 
 
 3 
 
 672321 
 
 395 
 
 945733 
 
 112 
 
 726588 
 
 507 
 
 273412 
 
 57 
 
 4 
 
 672558 
 
 395 
 
 945666 
 
 112 
 
 726892 
 
 507 
 
 273108 
 
 56 
 
 5 
 
 672795 
 
 394 
 
 945598 
 
 112 
 
 727197 
 
 507 
 
 272803 
 
 55 
 
 6 
 
 673032 
 
 394 
 
 945531 
 
 112 
 
 727501 
 
 507 
 
 272499 
 
 54 
 
 7 
 
 673268 
 
 304 
 
 945464 
 
 113 
 
 727805 
 
 506 
 
 272195 
 
 53 
 
 8 
 
 673505 
 
 394 
 
 945396 
 
 113 
 
 728109 
 
 506 
 
 271891 
 
 52 
 
 9 
 
 673741 
 
 393 
 
 945328 
 
 113 
 
 728412 
 
 506 
 
 271588 
 
 51 
 
 10 
 
 673977 
 
 393 
 
 945261 
 
 113 
 
 728716 
 
 506 
 
 271284 
 
 50 
 
 11 
 
 9.674213 
 
 393 
 
 9.945193 
 
 113 
 
 9.729020 
 
 506 
 
 10.270980 
 
 49 
 
 12 
 
 674448 
 
 392 
 
 945125 
 
 113 
 
 729323 
 
 505 
 
 270677 
 
 48 
 
 13 
 
 674684 
 
 392 
 
 945058 
 
 113 
 
 729626 
 
 505 
 
 270374 
 
 47 
 
 14 
 
 674919 
 
 392 
 
 944990 113 
 
 729929 
 
 ' 505 
 
 270071 
 
 46 
 
 15 
 
 675155 
 
 392 
 
 944922 
 
 113 
 
 730233 
 
 505 
 
 269767 
 
 45 
 
 16 
 
 675390 
 
 391 
 
 944854 
 
 113 
 
 730535 
 
 505 
 
 269465 
 
 44 
 
 17 
 
 675624 
 
 391 
 
 944786 
 
 113 
 
 730838 
 
 504 
 
 269162 
 
 43 
 
 18 
 
 675859 
 
 391 
 
 944718 
 
 113 
 
 731141 
 
 504 
 
 268859 
 
 42 
 
 19 
 
 676094 
 
 391 
 
 944650 
 
 113 
 
 731444 
 
 504 
 
 268556 
 
 41 
 
 20 
 
 676328 
 
 390 
 
 944582 
 
 114 
 
 731746 
 
 504 
 
 268254 
 
 40 
 
 21 
 
 9.676562 
 
 390 
 
 9.944514 
 
 114 
 
 9.732048 
 
 504 
 
 10.267952 
 
 39 
 
 22 
 
 676796 
 
 390 
 
 944446 
 
 114 
 
 732351 
 
 503 
 
 267649 
 
 38 
 
 23 
 
 677030 
 
 390 
 
 944377 
 
 114 
 
 732653 
 
 503 
 
 267347 
 
 37 
 
 24 
 
 677264 
 
 389 
 
 944309 
 
 114 
 
 732955 
 
 503 
 
 267045 
 
 36 
 
 25 
 
 677498 
 
 389 
 
 944241 
 
 114 
 
 733257 
 
 503 
 
 266743 
 
 35 
 
 26 
 
 677731 
 
 389 
 
 944 172 
 
 114 
 
 733558 
 
 503 
 
 266442 
 
 34 
 
 27 
 
 677964 
 
 388 
 
 944104 114 
 
 733860 
 
 502 
 
 266140 
 
 33 
 
 28 
 
 678197 
 
 388 
 
 944036 
 
 114 
 
 734162 
 
 502 
 
 265838 
 
 32 
 
 29 
 
 678430 
 
 388 
 
 943967 
 
 114 
 
 734463 
 
 502 
 
 265537 
 
 31 
 
 30 
 
 678683 
 
 388 
 
 943899 
 
 114 
 
 734764 
 
 502 
 
 265236 
 
 30 
 
 31 
 
 9 678895 
 
 387 
 
 9 . 943830 
 
 114 
 
 9.735066 
 
 502 
 
 107264934 
 
 29 
 
 32 
 
 679128 
 
 387 
 
 943761 
 
 114 
 
 735367 
 
 502 
 
 264633 
 
 28 
 
 33 
 
 679360 
 
 387 
 
 943693 
 
 115 
 
 735668 
 
 501 
 
 264332 
 
 27 
 
 34 
 
 679592 
 
 387 
 
 943624 
 
 115 
 
 735969 
 
 501 
 
 264031 
 
 26 
 
 35 
 
 679824 
 
 386 
 
 943555 
 
 115 
 
 736269 
 
 501 
 
 263731 
 
 25 
 
 36 
 
 680056 
 
 386 
 
 943486 
 
 115 
 
 736570 
 
 501 
 
 263430 
 
 24 
 
 37 
 
 680288 
 
 386 
 
 943417 
 
 115 
 
 736871 
 
 501 
 
 263129 
 
 23 
 
 38 
 
 680519 
 
 385 
 
 943348 
 
 115 
 
 737171 
 
 500 
 
 262829 
 
 22 
 
 39 
 
 680750 
 
 385 
 
 943279 
 
 115 
 
 737471 
 
 500 
 
 262529 
 
 21 
 
 40 
 
 680982 
 
 385 
 
 943210 
 
 115 
 
 737771 
 
 500 
 
 262229 
 
 20 
 
 41 
 
 9.681213 
 
 385 
 
 9.943141 
 
 US 
 
 9. '738071 
 
 500 
 
 10.261929 
 
 19 
 
 42 
 
 681443 
 
 384 
 
 943072 
 
 115 
 
 738371 
 
 500 
 
 261629 
 
 18 
 
 43 
 
 681674 
 
 384 
 
 943003 
 
 115 
 
 738671 
 
 499 
 
 261329 
 
 17 
 
 44 
 
 681905 
 
 384 
 
 942934 
 
 115 
 
 738971 
 
 499 
 
 261029 
 
 16 
 
 45 
 
 682135 
 
 384 
 
 942864 
 
 115 
 
 739271 
 
 499 
 
 260729 
 
 15 
 
 46 
 
 682365 
 
 383 
 
 942795 116 
 
 739570 
 
 499 
 
 260430 
 
 14 
 
 47 
 
 682595 
 
 383 
 
 942726 
 
 116 
 
 739870 
 
 499 
 
 260130 
 
 13 
 
 48 
 
 682825 
 
 383 
 
 942656 
 
 116 
 
 740169 
 
 499 
 
 259831 
 
 12 
 
 49 
 
 683055 
 
 383 
 
 942587 
 
 116 
 
 740468 
 
 498 
 
 259532 
 
 11 
 
 50 
 
 683284 
 
 382 
 
 942517 
 
 116 
 
 740767 
 
 498 
 
 259233 
 
 10 
 
 51 
 
 9.683514 
 
 382 
 
 9.942448 
 
 116 
 
 9.741066 
 
 498 
 
 10.258934 
 
 ~9 
 
 o2 
 
 683743 
 
 382 
 
 942378 
 
 116 
 
 741365 
 
 498 
 
 258635 
 
 8 
 
 53 
 
 683972 
 
 382 
 
 942308 
 
 116 
 
 741664 
 
 498 
 
 258336 
 
 7 
 
 54 
 
 684201 
 
 381 
 
 942239 
 
 116 
 
 741962 
 
 497 
 
 258038 
 
 6 
 
 55 
 
 684430 
 
 381 
 
 942169 
 
 116 
 
 742261 
 
 497 
 
 257739 
 
 5 
 
 56 
 
 684658 
 
 381 
 
 942099 
 
 116 
 
 742559 
 
 497 
 
 257441 
 
 4 
 
 57 
 
 684887 
 
 380 
 
 942029 
 
 116 
 
 742858 
 
 497 
 
 257142 
 
 3 
 
 58 
 
 685115 
 
 380 
 
 941959 
 
 116 
 
 743156 
 
 497 
 
 256844 
 
 2 
 
 59 
 
 655343 
 
 380 
 
 941889 
 
 117 
 
 743454 
 
 497 
 
 256546 
 
 1 
 
 60 
 
 685571 
 
 380 
 
 941819 
 
 117 
 
 743752 
 
 496 
 
 256248 
 
 
 
 
 Cosine 
 
 | Sinn 
 
 | Cotang. | 
 
 Tang. ) M. 
 
 61 Degrees, 
 
SINES AND TANGENTS. ^29 Degrees.; 
 
 47 
 
 M. | Sine | D. Cosine | D. 
 
 Tang. ( D. | Cotarig. 
 
 
 
 
 9.685571 
 
 380 
 
 9.941819 117 
 
 9.743752 
 
 496 
 
 10.256248 
 
 60 
 
 1 
 
 685799 
 
 379 
 
 941749 
 
 117 
 
 744050 
 
 496 
 
 255950 
 
 59 
 
 2 
 
 686027 
 
 379 
 
 941679 
 
 117 
 
 744348 
 
 496 
 
 255652 
 
 58 
 
 3 
 
 686254 
 
 379 
 
 941609 
 
 117 
 
 744645 
 
 496 
 
 255355 
 
 57 
 
 4 
 
 686482 
 
 379 
 
 941539 
 
 117 
 
 744943 
 
 496 
 
 255057 
 
 56 
 
 5 
 
 686709 
 
 378 
 
 941469 
 
 117 
 
 745240 
 
 496 
 
 254760 
 
 55 
 
 6 
 
 686936 
 
 378 
 
 941398 
 
 117 
 
 745538 
 
 495 
 
 254462 
 
 54 
 
 7 
 
 687163 
 
 378 
 
 941328 
 
 117 
 
 745835 
 
 495 
 
 254165 
 
 53 
 
 8 
 
 6S7389 
 
 378 
 
 941258 
 
 117 
 
 746132 
 
 495 
 
 253868 
 
 52 
 
 9 
 
 687616 
 
 377 
 
 941187 
 
 117 
 
 746429 
 
 495 
 
 253571 
 
 51 
 
 10 
 
 687843 
 
 377 
 
 941117 
 
 117 
 
 746726 
 
 '495 
 
 253274 
 
 50 
 
 11 
 
 9.688069 
 
 377 
 
 9.941046 
 
 118 
 
 9.747023 
 
 494 
 
 10.252977 
 
 49 
 
 12 
 
 688295 
 
 377 
 
 940975 
 
 118 
 
 747319 
 
 494 
 
 252681 
 
 48 
 
 13 
 
 688521 
 
 376 
 
 940905 
 
 118 
 
 747616 
 
 494 
 
 252384 
 
 47 
 
 14 
 
 688747 
 
 376 
 
 940834 
 
 118 
 
 747913 
 
 494 
 
 252087 
 
 46 
 
 15 
 
 688972 
 
 376 
 
 940763 
 
 118 
 
 748209 
 
 x494 
 
 251791 
 
 45 
 
 16 
 
 689198 
 
 376 
 
 940693 
 
 118 
 
 748505 
 
 493 
 
 251495 
 
 44 
 
 17 
 
 689423 
 
 375 
 
 940622 
 
 118 
 
 748801 
 
 493 
 
 251199 
 
 43 
 
 18 
 
 689648 
 
 375 
 
 94Q551 
 
 118 
 
 749097 
 
 493 
 
 250903 
 
 42 
 
 19 
 
 689873 375 
 
 940480 
 
 118 
 
 749393 
 
 493 
 
 ' 250607 
 
 41 
 
 20 
 
 690098 375 
 
 940409 
 
 118 
 
 7496P9 
 
 493 
 
 250311 
 
 40 
 
 21 
 
 9.6903231 374 
 
 9.940338 
 
 118 
 
 9 . 749985 
 
 493 
 
 10T250015 
 
 39 
 
 22 
 
 690548) 374 
 
 940267 
 
 118 
 
 750281 
 
 492 
 
 249719 
 
 38 
 
 23 
 
 690772! 374 
 
 940196 
 
 118 
 
 750576 
 
 492 
 
 249424 
 
 37 
 
 24 
 
 690996 374 
 
 940125 
 
 119 
 
 750872 
 
 492 
 
 249128 
 
 36 
 
 25 
 
 691220 373 
 
 940054 
 
 119 
 
 751167 
 
 492 
 
 248833 
 
 35 
 
 26 
 
 691444| 373 
 
 939982 
 
 119 
 
 751462 
 
 492 
 
 248538 
 
 34 
 
 27 
 
 6916681 373 
 
 939911 
 
 119 
 
 751757 
 
 492 
 
 248243 
 
 33 
 
 28 
 
 691892 373 
 
 939840 
 
 119 
 
 752052 
 
 491 
 
 247948 
 
 32 
 
 29 
 
 692115 372 
 
 939768 
 
 119 
 
 752347 
 
 491 
 
 247653 
 
 31 
 
 30 
 
 692339! 372 
 
 939697 
 
 113 
 
 752642 
 
 491 
 
 247358 
 
 .30 
 
 31 
 
 9 . 692562 372 
 
 9.939625 
 
 119 
 
 9 . 752937 
 
 491 
 
 10.247063 
 
 29 
 
 32 
 
 692785 371 
 
 939554 
 
 119 
 
 753231 
 
 491 
 
 246769 
 
 28 
 
 33 
 
 693008 
 
 371 
 
 939482 
 
 119 
 
 753526 
 
 491 
 
 246474 
 
 27 
 
 34 
 
 693231 
 
 371 
 
 939410 
 
 119 
 
 753820 
 
 490 
 
 246180 
 
 26 
 
 35 
 
 693453 371 
 
 939339 
 
 119 
 
 754115 
 
 490 
 
 245885 
 
 25 
 
 36 
 
 693676 
 
 370 
 
 939267 
 
 120 
 
 754409 
 
 490 
 
 24559 1 
 
 24 
 
 37 
 
 693898 
 
 370 
 
 939195 
 
 120 
 
 754703 490 
 
 245297 
 
 23 
 
 38 
 
 694120 
 
 370 
 
 939123 
 
 120 
 
 754997 
 
 490 
 
 245003 
 
 22 
 
 39 
 
 694342 370 
 
 939052 
 
 120 
 
 75529 1 
 
 490 
 
 244709 
 
 21 
 
 40 
 
 694504 369 
 
 93S980 
 
 120 755585 
 
 489 
 
 244415 
 
 20 
 
 41 
 
 9 . 694786 369 
 
 9.938908 
 
 120 
 
 9 . 755878 
 
 489 
 
 10.244122! 19 
 
 42 
 
 695007; 36) 
 
 938836 
 
 120 
 
 756172 
 
 489 
 
 2438281 18 
 
 43 
 
 695229! 369 
 
 938763 
 
 120 
 
 756465 489 
 
 243535 
 
 17 
 
 44 
 
 6954501 368 
 
 938691 
 
 120 
 
 756759 
 
 489 
 
 243241 
 
 16 
 
 45 
 46 
 
 695671 368 
 6958921 368 
 
 938619: 120 
 936547 120 
 
 757052 
 757345 
 
 489 
 
 488 
 
 242948 
 242655 
 
 15 
 
 14 
 
 47 
 
 696113 368 
 
 938475 120 757638 
 
 488 
 
 242362 
 
 13 
 
 48 
 
 696334 367 
 
 938402! 121 
 
 757931 
 
 488 
 
 242069 
 
 12 
 
 49 
 
 696f>54: 367 
 
 938330! 121 
 
 758224 
 
 488 
 
 241776 
 
 11 
 
 50 
 
 696775 367 
 
 938258! 121 
 
 758517 
 
 488 
 
 241483 
 
 10 
 
 51 
 
 9.696926 367 
 
 9.938185' T2Ti 9.758810 
 
 488" 
 
 107241 190 
 
 Q 
 
 52 
 
 697215 366 
 
 938113 121 759102 
 
 487 
 
 240898 
 
 w 
 
 53 
 
 697435 366 
 
 938040! 121 
 
 759395 
 
 487 
 
 240605 
 
 7 
 
 54 
 
 697654 366 
 
 937967 121 
 
 759687 
 
 487 
 
 240313 
 
 6 
 
 55 
 
 697874 366 
 
 937895 1 121 
 
 759979 
 
 487 
 
 240021 
 
 5 
 
 56 
 
 693094 365 
 
 937822 121 
 
 760272 
 
 487 
 
 239728 
 
 4 
 
 57 
 
 698313: 365 
 
 937749 121 
 
 760564 
 
 487 
 
 239436 
 
 3 
 
 58 
 
 698531 
 
 5 365 
 
 937676 121 
 
 760856 
 
 486 
 
 239144 
 
 2 
 
 59 
 
 69875 J 
 
 365 
 
 937604 121 
 
 761148 
 
 486 
 
 238852 
 
 1 
 
 60 
 
 69897( 
 
 ) 364 
 
 937531! 121 761439 
 
 486 
 
 238561 
 
 
 
 
 Cosine J | Sine | Cotaiig. | Tang j M- 
 
 GO Degrees 
 
48 
 
 (30 Degrees.) A TABLE OF LOGARITHMIC 
 
 M. | Sine | D. | Cosine | D. Tang. | [). | Cotnng. 
 
 
 
 
 9.698970 
 
 364 
 
 9.937531 
 
 121 
 
 9.761439 
 
 486 
 
 10.238561 
 
 60 
 
 1 
 
 699189 
 
 364 
 
 937458 
 
 122 
 
 761731 
 
 486 
 
 238269 
 
 59 
 
 2 
 
 699407 
 
 364 
 
 937385 
 
 122 
 
 762023 
 
 486 
 
 237977 
 
 58 
 
 3 
 
 699626 
 
 364 
 
 937312 
 
 122 
 
 762314 
 
 486 
 
 237686 
 
 57 
 
 4 
 
 699844 
 
 363 
 
 937238 
 
 122 
 
 762606 
 
 485 
 
 237394 
 
 56, 
 
 5 
 
 700062 
 
 363 
 
 9371.65 
 
 122 
 
 762897 
 
 485 
 
 237103 
 
 55: 
 
 6 
 
 700280 
 
 363 
 
 937092 
 
 122 
 
 763188 
 
 485 
 
 236812 
 
 54 1 
 
 7 
 
 700498 
 
 363 
 
 937019 
 
 122 
 
 763479 
 
 485 
 
 236521 
 
 53 
 
 8 
 
 700716 
 
 363 
 
 936946 
 
 122 
 
 763770 
 
 485 
 
 236230 
 
 52 
 
 9 
 
 700933 
 
 362 
 
 936872 
 
 122 
 
 764061 
 
 485 
 
 235939 
 
 51 
 
 10 
 
 701151 
 
 362 
 
 936799 
 
 122 
 
 764352 
 
 484 
 
 235648 
 
 50 
 
 11 
 
 9.701368 
 
 362 
 
 9.936725 
 
 122 
 
 9.764643 
 
 484 
 
 10.235357 
 
 49 
 
 12 
 
 701585 
 
 362 
 
 936652 
 
 123 
 
 764933 
 
 484 
 
 235067 
 
 48 
 
 13 
 
 701802 
 
 361 
 
 936578 
 
 123 
 
 765224 
 
 484 
 
 234776 
 
 47 
 
 14 
 
 702019 
 
 361 
 
 936505 
 
 123 
 
 7655141 484 
 
 234486 
 
 46 
 
 15 
 
 702236 
 
 361 
 
 936431 
 
 123 
 
 765805 
 
 484 
 
 234195 
 
 45 
 
 16 
 
 702452 
 
 361 
 
 936357 
 
 123 
 
 766095 
 
 484 
 
 233905 
 
 44 
 
 17 
 
 702669 
 
 360 
 
 936284 
 
 123 
 
 766385 
 
 483 
 
 233615 
 
 43 
 
 18 
 
 702885 
 
 360 
 
 936210 
 
 123 
 
 766675 
 
 483 
 
 233325 
 
 42 
 
 19 
 
 703101 
 
 360 
 
 936136 
 
 123 
 
 766965 
 
 483 
 
 233035 
 
 41 
 
 20 
 
 703317 
 
 360 
 
 936062 
 
 123 
 
 767255 
 
 483 
 
 232745 
 
 40 
 
 21 
 
 9.703533 
 
 359 
 
 9.935988 
 
 123 
 
 9.767545 
 
 483 
 
 10.232455 
 
 39 
 
 22 
 
 703749 
 
 359 
 
 935914 
 
 123 
 
 767834 
 
 483 
 
 232166 
 
 38 
 
 23 
 
 703964 
 
 359 
 
 935840 
 
 123 
 
 768124 
 
 482 
 
 231876 
 
 37 
 
 24 
 
 704179 
 
 359 
 
 935766 
 
 124 
 
 768413 
 
 482 
 
 231587 
 
 36 
 
 25 
 
 704395 
 
 359 
 
 935692 
 
 124 
 
 768703 
 
 482 
 
 231297 
 
 35 
 
 26 
 
 704610 
 
 358 
 
 935618 
 
 124 
 
 768992 
 
 482 
 
 231008 
 
 34 
 
 27 
 
 704825 
 
 358 
 
 935543 
 
 124 
 
 769281 
 
 482 
 
 230719 
 
 33 
 
 28 
 
 705040 
 
 358 
 
 935469 
 
 124 
 
 769570 
 
 482 
 
 230430 
 
 32 
 
 29 
 
 705254 
 
 358 
 
 935395 
 
 124 
 
 769860 
 
 481 
 
 230140 
 
 31 
 
 30 
 
 705469 
 
 357 
 
 935320 
 
 124 
 
 770148 
 
 481 
 
 229852 
 
 30 
 
 31 
 
 9.705683 
 
 357 
 
 9.935246 
 
 124 
 
 9.770437 
 
 481 
 
 10.229563 
 
 29 
 
 32 
 
 705898 
 
 357 
 
 935171 
 
 124 
 
 770726 
 
 481 
 
 229274 
 
 28 
 
 33 
 
 706112 
 
 357 
 
 935097 
 
 124 
 
 771015 
 
 481 
 
 228985 
 
 27 
 
 34 
 
 706326 
 
 356 
 
 935022 
 
 124 
 
 771303 
 
 481 
 
 228697 
 
 26 
 
 35 
 
 706539 
 
 356 
 
 9349431 124 
 
 771592 
 
 481 
 
 228408 
 
 25 
 
 36 
 
 706753 
 
 356 
 
 934873 
 
 124! 771880 
 
 480 
 
 228120 
 
 24 
 
 37 
 
 706967 
 
 356 
 
 934798 
 
 125 
 
 772168 
 
 480 
 
 227832 
 
 23 
 
 38 
 
 707180 
 
 355 
 
 934723 
 
 125 
 
 772457 
 
 480 
 
 227543 
 
 22 
 
 39 
 
 707393 
 
 355 
 
 934649 
 
 125 
 
 772745 
 
 480 
 
 227255 
 
 21 
 
 40 
 
 707606 
 
 355 
 
 934574 
 
 125 
 
 773033 
 
 480 
 
 226967 
 
 20 
 
 41 
 
 9.707819 
 
 355 
 
 9 . 934499 
 
 125 
 
 9 . 77332 1 
 
 480 
 
 10.226679 
 
 19 
 
 42 
 
 708032 
 
 354 
 
 934424 
 
 125 
 
 773608 
 
 479 
 
 226392 
 
 18 
 
 43 
 
 708245 
 
 354 
 
 934349 
 
 125 
 
 773896 
 
 479 
 
 226104 
 
 17 
 
 44 
 
 708458 354 
 
 934274 
 
 125 
 
 774184 
 
 479 
 
 225816 
 
 16 
 
 45 
 
 708670 354 
 
 934199 
 
 125 
 
 774471 
 
 479 
 
 225529 
 
 15 
 
 46 
 
 708882 
 
 353 
 
 934123 
 
 I2. r 
 
 774759 
 
 479 
 
 225241 
 
 14 
 
 47 
 
 709094 
 
 353 
 
 9X1048 125 
 
 775040 
 
 479 
 
 224954 
 
 13 
 
 48 
 
 709306 
 
 353 
 
 9339731 125 
 
 775333 
 
 479 
 
 224667 
 
 12 
 
 49 
 
 709518 
 
 353 
 
 933898 
 
 126 
 
 775621 
 
 478 
 
 224379 
 
 11 
 
 50 
 
 709730 
 
 353 
 
 933822 
 
 126 
 
 775908 
 
 478 
 
 224092 
 
 10 
 
 51 
 
 9 709941 
 
 352 
 
 9.933747 
 
 126 
 
 9.776195 
 
 478 
 
 10.223805 
 
 9 
 
 52 
 
 710153 
 
 352 
 
 933671 
 
 1261 776482 
 
 478 
 
 223518 
 
 8 
 
 53 
 
 710364 
 
 352 
 
 933596 
 
 126 
 
 776769 
 
 478 
 
 223231 
 
 7 
 
 54 
 
 710575 
 
 ' 352 
 
 933520 
 
 126 
 
 777055 
 
 478 
 
 222945 
 
 6 
 
 55 
 
 710786 
 
 351 
 
 933445 
 
 126 
 
 777342 
 
 478 
 
 222658 
 
 5 
 
 56 
 
 710997 
 
 351 
 
 933369 
 
 126 
 
 777628 
 
 477 
 
 222372 
 
 4 
 
 57 
 
 711208 
 
 351 
 
 933293 
 
 126 
 
 777913 
 
 477 
 
 222085 
 
 3 
 
 58 
 
 711419 
 
 351 
 
 933217 
 
 126 
 
 778201 
 
 477 
 
 221799 
 
 2 
 
 59 
 
 711629 
 
 350 
 
 933141 
 
 126 
 
 778487 
 
 477 
 
 221512 
 
 1 
 
 60 
 
 711839 
 
 350 
 
 933066 
 
 126 
 
 778774 
 
 477 
 
 221226 
 
 
 
 
 Cosine Sine | Cutanj;. 1 Tang. 1 M. 
 
 59 Uc^i 
 
SINES AND TANGENTS. (31 Degrees.) 
 
 M. | Sine 
 
 D. | Cosine D. | Taiip. D. Cotang. 
 
 
 
 
 9 711839 
 
 350 
 
 9.933066 
 
 126 
 
 9.778774 
 
 477 
 
 10.221226160 
 
 1 
 
 ' 712050 
 
 350 
 
 932990 
 
 127 
 
 779060 
 
 477 
 
 220940 
 
 59 
 
 o 
 
 712260 
 
 350 
 
 932914 
 
 127 
 
 779346 
 
 176 
 
 220654 
 
 58 
 
 3 
 
 712469 
 
 349 
 
 932838 
 
 127 
 
 779632 
 
 476 
 
 220368 
 
 57 
 
 4 
 
 712679 
 
 349 
 
 932762 
 
 127 
 
 779918 476 
 
 220082 
 
 56 
 
 5 
 
 712889 
 
 349 
 
 932685 
 
 127 
 
 780203; 476 
 
 219797 
 
 55 
 
 6 
 
 713098 
 
 349 
 
 932609 
 
 127 
 
 780489 476 
 
 219511 
 
 54 
 
 7 
 
 713308 
 
 349 
 
 932533 
 
 127 
 
 780775 476 
 
 219225 
 
 53 
 
 8 
 
 713517 
 
 348 
 
 932457 
 
 127 
 
 781060! 476 
 
 218940 
 
 52 
 
 9 
 
 713726 
 
 348 
 
 932380 
 
 127 
 
 781346 
 
 475 
 
 218654 
 
 51 
 
 10 
 
 713935 
 
 348 
 
 932304 
 
 ]27 
 
 781631 
 
 475 
 
 218369 
 
 50 
 
 11 
 
 9.714144 
 
 348 
 
 9.932228 
 
 127 
 
 9.781916 
 
 475 
 
 10.218084 
 
 49 
 
 12 
 
 * 714352 
 
 347 
 
 932151 
 
 127 
 
 782201 
 
 475 
 
 217799 
 
 48 
 
 13 
 
 714561 
 
 347 
 
 932075 
 
 128 
 
 782486 
 
 475 
 
 217514 
 
 47 
 
 14 
 
 714769 
 
 347 
 
 931998 
 
 128 
 
 782771 
 
 475 
 
 217229 
 
 46 
 
 15 
 
 714978 
 
 347 
 
 931921 
 
 128 
 
 783056 
 
 475 
 
 216944 
 
 45 
 
 16 
 
 715186 
 
 347 
 
 931845 
 
 12S 
 
 783341 
 
 475 
 
 216659 
 
 44 
 
 17 
 
 715394 
 
 346 
 
 931768 
 
 128 
 
 783626 
 
 474 
 
 216374 
 
 43 
 
 18 
 
 715602 
 
 346 
 
 931691 
 
 128 
 
 783910 474 
 
 216090 
 
 42 
 
 19 
 
 715809 
 
 346 
 
 931614 
 
 128 
 
 784195 474 
 
 215805 
 
 41 
 
 20 
 
 716017 
 
 346 
 
 931537 
 
 128 
 
 784479 474 
 
 215521 
 
 40 
 
 21 
 
 9.716224 
 
 345 
 
 9.931460 
 
 128 
 
 9.7847641 474 
 
 10.215236 
 
 39 
 
 22 
 
 716432 
 
 345 
 
 931383 
 
 128 
 
 785048 474 
 
 214952 
 
 38 
 
 23 
 
 716639 
 
 345 
 
 931306 
 
 128 
 
 785332 
 
 473 
 
 214668 
 
 37 
 
 24 
 
 716846 
 
 345 
 
 931229 
 
 129 
 
 785616 
 
 473 
 
 214384 
 
 36 
 
 25 
 
 717053 
 
 345 
 
 931152 
 
 129 
 
 785900 
 
 473 
 
 214100 
 
 35 
 
 26 1 717259 
 
 344 
 
 931075 
 
 129 
 
 786184 
 
 473 
 
 213816 
 
 34 
 
 27 
 
 717466 
 
 344 
 
 930998 
 
 129 
 
 786468 473 
 
 213532 
 
 33 
 
 2S 
 
 717673 
 
 344 
 
 930921 
 
 129 
 
 786752 
 
 473 
 
 213248 
 
 32 
 
 29 
 
 717879 
 
 344 
 
 930843 
 
 129 
 
 787036 
 
 473 
 
 212964 
 
 31 
 
 30 
 
 718085 
 
 343 
 
 930766 
 
 129 
 
 787319 
 
 472 
 
 212681 
 
 30 
 
 31 
 
 9.718291 
 
 343 
 
 9.930688 
 
 129 
 
 9.787603 
 
 472 
 
 10.212397 
 
 29 
 
 32 
 
 718497 
 
 343 
 
 930611 
 
 129 
 
 787886 
 
 472 
 
 212114 
 
 28 
 
 33 
 
 718703 
 
 343 
 
 930533 
 
 129 
 
 788170 
 
 472 
 
 211830 
 
 27 
 
 34 
 
 718909 
 
 343 
 
 930456 
 
 129 
 
 788453 
 
 472 
 
 211547 
 
 26 
 
 35 
 
 719114 
 
 342 
 
 930378 
 
 129 
 
 788736 
 
 472 
 
 211264 
 
 25 
 
 36 
 
 719320 
 
 342 
 
 930300 
 
 130 
 
 789019 
 
 472 
 
 210981 
 
 24 
 
 37 
 
 719525 
 
 342 
 
 930223 
 
 130 
 
 789302 
 
 471 
 
 210698 
 
 23 
 
 38 
 
 719730 
 
 342 
 
 930145 
 
 130 
 
 789585 
 
 471 
 
 210415 
 
 22 
 
 39 
 
 719935 
 
 341 
 
 930067 
 
 130 
 
 789868 
 
 471 
 
 210132 
 
 21 
 
 40 
 
 720140 
 
 341 
 
 929989 
 
 130 
 
 790151 
 
 471 
 
 209849 
 
 20 
 
 41 
 
 9 . 720345 
 
 341 
 
 9.929911 
 
 130 
 
 9.790433 
 
 471 
 
 10.209567 
 
 19 
 
 42 
 
 720549 
 
 341 
 
 929833 
 
 130 
 
 790716 
 
 471 
 
 209284 
 
 18 
 
 43 
 
 720754 
 
 340 
 
 929755 
 
 130 
 
 790999 
 
 471 
 
 209001 
 
 17 
 
 44 
 
 720958 
 
 340 
 
 929677 
 
 130 
 
 791281 
 
 471 
 
 208719 
 
 16 
 
 45 
 
 721162 
 
 340 
 
 929599 
 
 130 
 
 791563 
 
 470 
 
 208437 
 
 15 
 
 46 
 
 721366 
 
 340 
 
 929521 
 
 130 
 
 791846 
 
 470 
 
 208154 
 
 14 
 
 47 
 
 721570 
 
 340 
 
 929442 
 
 130 
 
 792128 
 
 470 
 
 207872 
 
 13 
 
 48 
 
 721774 
 
 339 
 
 929364 
 
 131 
 
 792410 
 
 470 
 
 207590 
 
 12 
 
 49 
 
 721978 
 
 339 
 
 929286 
 
 131 
 
 792692 
 
 470 
 
 207308 
 
 11 
 
 50 
 
 722181 339 
 
 929207 
 
 131 
 
 792974 
 
 470 
 
 207026 
 
 10 
 
 51 
 
 9 . 722385 
 
 339 
 
 9.929129 
 
 131 
 
 9.793256 
 
 470 10.206744 
 
 9 
 
 52 
 
 722588 
 
 339 
 
 929050 
 
 131 
 
 793538 
 
 469 
 
 206462 
 
 8 
 
 53 
 
 722791 
 
 338 
 
 928972 
 
 131 
 
 793819 
 
 469 j 206181 
 
 7 
 
 54 
 
 722994 
 
 338 
 
 928893 
 
 131 
 
 794101 
 
 469 
 
 205899 
 
 6 
 
 55 
 
 723197 
 
 338 
 
 928815 
 
 131 
 
 794383 
 
 469 
 
 205617 
 
 5 
 
 56 
 
 723400 
 
 338 
 
 928736 
 
 131 
 
 794664 469 
 
 205336 
 
 4 
 
 57 
 
 723603 
 
 337 
 
 928657 
 
 131 
 
 794945 469 
 
 205055 
 
 3 
 
 58 
 
 723805 
 
 337 
 
 928578 
 
 131 
 
 795227 
 
 469 
 
 204773 
 
 2 
 
 59 
 
 724007 
 
 337 
 
 928499 
 
 131 
 
 795508 
 
 468 
 
 204492 
 
 1 
 
 60 
 
 724210 
 
 337 
 
 928420 
 
 131 
 
 7957891 468 
 
 204211 
 
 
 
 Cosine | Sine | Cotang. j | Tang. M. 
 
 58 Degrees. 
 
50 
 
 (32 Degrees.; A TABLE or LOOAEITHMIC 
 
 W. Sine | D. Cosine | D. | Tang. 
 
 D. 
 
 Cotang. | 
 
 
 
 9.724210 
 
 337 
 
 9 . 928420 
 
 132 
 
 9.795789 
 
 468 
 
 10.204211 
 
 60 
 
 1 
 
 724412 
 
 337 
 
 928342 
 
 132 
 
 796070 
 
 468 
 
 203930 
 
 59 
 
 2 
 
 724614 
 
 336 
 
 928263 
 
 132 
 
 796351 
 
 468 
 
 203649 
 
 58 
 
 3 
 
 724816 
 
 336 
 
 928183 
 
 132 
 
 796632 
 
 468 
 
 203368 
 
 57 
 
 4 
 
 725017 
 
 336 
 
 928104 
 
 132 
 
 796913 
 
 468 
 
 203087 
 
 56 
 
 5 
 
 725219 
 
 336 
 
 928025 
 
 132 
 
 797194 
 
 468 
 
 202806 
 
 55 
 
 6 
 
 725420 
 
 335 
 
 927946 
 
 132 
 
 797475 
 
 468 
 
 202525 
 
 54 
 
 7 
 
 725622 
 
 335 
 
 927867 
 
 132 
 
 797755 
 
 468 
 
 202245 
 
 53 
 
 8 
 
 725823 
 
 335 
 
 927787 
 
 132 
 
 798036 
 
 467 
 
 201964 
 
 52 
 
 9 
 
 726024 
 
 335 
 
 927708 
 
 132 
 
 798316 
 
 467 
 
 201684 
 
 51 
 
 10 
 
 726225 
 
 335 
 
 927629 
 
 132 
 
 798596 
 
 467 
 
 201404 
 
 50 
 
 11 
 
 9.726426 
 
 334 
 
 9.927549 
 
 132 
 
 9 . 798877 
 
 467 
 
 10.201123 
 
 49 
 
 12 
 
 726626 
 
 334 
 
 927470 
 
 133 
 
 799157 
 
 467 
 
 200843 
 
 48 
 
 13 
 
 726827 
 
 334 
 
 927390 
 
 133 
 
 799437 
 
 467 
 
 200563 
 
 47 
 
 14 
 
 727027 
 
 334 
 
 927310 
 
 133 
 
 799717 
 
 467 
 
 200283 
 
 46 
 
 15 
 
 727228 
 
 334 
 
 927231 
 
 133 
 
 799997 
 
 466 
 
 200003 
 
 45 
 
 16 
 
 727428 
 
 333 
 
 927151 
 
 133 
 
 800277 
 
 466 
 
 199723 
 
 44 
 
 17 
 
 727628 
 
 333 
 
 927071 
 
 133 
 
 800557 
 
 466 
 
 199443 
 
 43 
 
 18 
 
 727828 
 
 333 
 
 926991 
 
 133 
 
 800836 
 
 466 
 
 199164 
 
 42 
 
 19 
 
 728027 
 
 333 
 
 926911 
 
 133 
 
 801116 
 
 466 
 
 198884 
 
 41 
 
 20 
 
 728227 
 
 333 
 
 926831 
 
 133 
 
 801396 
 
 466 
 
 198604 
 
 40 
 
 21 
 
 9.72842? 
 
 332 
 
 9.926751 
 
 133 
 
 9.801675 
 
 466 
 
 10.198325 
 
 39 
 
 22 
 
 728626 
 
 332 
 
 926671 
 
 133 
 
 801955 
 
 466 
 
 198045 
 
 38 
 
 23 
 
 728825 
 
 332 
 
 926591 
 
 133 
 
 802234 
 
 465 
 
 197766 
 
 37 
 
 24 
 
 729024 
 
 332 
 
 926511 
 
 134 
 
 802513 
 
 465 
 
 197487 
 
 36 
 
 25 
 
 729223 
 
 331 
 
 926431 
 
 134 
 
 802792 
 
 465 
 
 197208 
 
 35 
 
 26 
 
 729422 
 
 331 
 
 926351 
 
 134 
 
 803072 
 
 465 
 
 196928 
 
 34 
 
 27 
 
 729621 
 
 331 
 
 926270 
 
 134 
 
 803351 
 
 465 
 
 196649 
 
 33 
 
 28 
 
 729820 
 
 331 
 
 926190 
 
 134 
 
 803630 
 
 465 
 
 196370 
 
 32 
 
 29 
 
 730018 
 
 330 
 
 926110 
 
 134 
 
 803908 
 
 465 
 
 196092 
 
 31 
 
 30 
 
 730216 
 
 330 
 
 926029 
 
 134 
 
 804187 
 
 465 
 
 195813 
 
 30 
 
 31 
 
 9.730415 
 
 330 
 
 9.925949 
 
 134 
 
 9.804466 
 
 464 
 
 10.195534 
 
 29 
 
 32 
 
 730613 
 
 330 
 
 925868 
 
 134 
 
 804745 
 
 464 
 
 195255 
 
 28 
 
 33 
 
 730811 
 
 330 
 
 925788 
 
 134 
 
 805023 
 
 464 
 
 194977 
 
 27 
 
 34 
 
 731009 
 
 329 
 
 925707 
 
 134 
 
 805302 
 
 464 
 
 194698 
 
 26 
 
 35 
 
 731206 
 
 329 
 
 925626 
 
 134 
 
 805580 
 
 464 
 
 194420 
 
 25 
 
 36 
 
 731404 
 
 329 
 
 925545 
 
 135 
 
 805859 
 
 464 
 
 194141 
 
 24 
 
 37 
 
 731602 
 
 329 
 
 925465 
 
 135 
 
 806137 
 
 464 
 
 193863 
 
 23 
 
 38 
 
 731799 
 
 329 
 
 925384 
 
 135 
 
 806415 
 
 463 
 
 193585 
 
 22 
 
 39 
 
 731996 
 
 328 
 
 925303 
 
 135 
 
 806693 
 
 463 
 
 193307 
 
 21 
 
 40 
 
 732193 
 
 328 
 
 925222 
 
 135 
 
 806971 
 
 463 
 
 193029 
 
 20 
 
 41 
 
 9.732390 
 
 328 
 
 9.925141 
 
 135 
 
 9.807249 
 
 463 
 
 10.192751 
 
 19 
 
 42 
 
 732587 
 
 328 
 
 " 925060 
 
 135 
 
 807527 
 
 463 
 
 192473 
 
 18 
 
 43 
 
 732784 
 
 328 
 
 924979 
 
 135 
 
 807805 
 
 463 
 
 192195 
 
 17 
 
 44 
 
 732980 
 
 327 
 
 924897 
 
 135 
 
 808083 
 
 463 
 
 191917 
 
 16 
 
 45 
 
 733177 
 
 327 
 
 924816 
 
 135 
 
 808361 
 
 463 
 
 191639 
 
 15 
 
 46 
 
 733373 
 
 327 
 
 924735 
 
 136 
 
 808638 
 
 462 
 
 191362 
 
 14 
 
 47 
 
 733569 
 
 327 
 
 924654 
 
 136 
 
 808916 
 
 462 
 
 191084 
 
 13 
 
 48 
 
 733765 
 
 327 
 
 924572 
 
 136 
 
 809193 
 
 462 
 
 190807 
 
 12 
 
 49 
 
 733961 
 
 326 
 
 924491 
 
 136 
 
 809471 
 
 462 
 
 190529 
 
 11 
 
 50 
 
 734157 
 
 326 
 
 924409 
 
 136 
 
 809748 
 
 462 
 
 190252 
 
 10 
 
 51 
 
 9.734353 
 
 326 
 
 9.924328 
 
 136 
 
 9.810025 
 
 462 
 
 10.189975 9 
 
 52 
 
 734549 
 
 320 
 
 924246 
 
 136 
 
 810302 
 
 462 
 
 189698 
 
 8 
 
 53 
 
 734744 
 
 325 
 
 924164 
 
 136 
 
 810580 
 
 462 
 
 189420 
 
 7 
 
 54 
 
 734939 
 
 325 
 
 924083 
 
 136 
 
 810857 
 
 462 
 
 189143 
 
 6 
 
 55 
 
 735135 
 
 325 
 
 924001 
 
 136 
 
 811134 
 
 461 
 
 188866 
 
 5 
 
 56 
 
 735330 
 
 325 
 
 923919 
 
 136 
 
 811410 
 
 461 
 
 188590 
 
 4 
 
 57 
 
 735525 
 
 325 
 
 923837 
 
 136 
 
 811687 
 
 461 
 
 188313 
 
 3 
 
 58 
 
 735719 
 
 324 
 
 923755 
 
 137 
 
 811964 
 
 461 
 
 188036 
 
 2 
 
 59 
 
 735914 
 
 324 
 
 923673 
 
 137 
 
 812241 
 
 461 
 
 187759 
 
 1 
 
 60 
 
 736109 
 
 324 
 
 92H591 
 
 137 
 
 818517 
 
 461 
 
 187483 
 
 
 
 | Cosine j 
 
 Sine 
 
 | Cotang. 
 
 
 Tang. 
 
 M. 
 
 57 Degrees. 
 
SINES AND TANGENTS. (^33 Degrees.) 
 
 51 
 
 M. 
 
 Sine | J). Cosine 1). \ T;uig. D. Cotai^. | 
 
 
 
 9.736109 
 
 324 
 
 9.923591 
 
 137 
 
 9 . 8 1 25 1 7 
 
 461 
 
 10. 187482| 60 
 
 1 
 
 736303 
 
 324 
 
 923509 
 
 137 
 
 812794 
 
 461 
 
 187206 
 
 59 
 
 2 
 
 736498 
 
 324 
 
 923427 
 
 137 
 
 813070 
 
 461 
 
 186930 
 
 58 
 
 3 
 
 738S92 
 
 323 
 
 923345 
 
 137 
 
 813347 
 
 460 
 
 186653 
 
 57 
 
 4 
 
 736880 
 
 323 
 
 923263 
 
 137 
 
 813623 
 
 460 
 
 186377 
 
 56 
 
 fi 
 
 737080 
 
 323 
 
 923181 
 
 137 
 
 813899 
 
 460 
 
 186101 
 
 55 
 
 6 
 
 737274 
 
 323 
 
 923098 
 
 137 
 
 814175 
 
 460 
 
 185825 
 
 54 
 
 7 
 
 737467 
 
 323 
 
 923016 
 
 137 
 
 814452 
 
 460 
 
 185548 
 
 53 
 
 8 
 
 737661 
 
 322 
 
 922933 
 
 137 
 
 814728 
 
 460 
 
 185272 
 
 52 
 
 9 
 
 737855 
 
 322 
 
 922851 
 
 137 
 
 815004 
 
 4<30 
 
 184996 
 
 51 
 
 10 
 
 738048 
 
 322 
 
 922768 
 
 138 
 
 815279 
 
 460 
 
 184721 
 
 50 
 
 11 
 
 9.738241 
 
 322 
 
 9.922686 
 
 13S 
 
 9.815555 
 
 459 
 
 10.184445 
 
 49 
 
 12 
 
 738434 
 
 322 
 
 922603 
 
 138 
 
 815831 
 
 459 
 
 184169 
 
 48 
 
 13 
 
 738627 
 
 321 
 
 922520 
 
 138 
 
 816107 
 
 459 
 
 183893 
 
 47 
 
 14 
 
 738820 
 
 321 
 
 922438 
 
 138 
 
 816382 
 
 459 
 
 183618 
 
 46 
 
 15 
 
 739013 
 
 321 
 
 922355 
 
 138 
 
 816658 
 
 459 
 
 183342 
 
 45 
 
 16 
 
 739206 
 
 321 
 
 922272 
 
 138 
 
 816933 
 
 459 
 
 183067 
 
 44 
 
 17 
 
 739398 
 
 321 
 
 922189 
 
 138 
 
 817209 
 
 459 
 
 182791 
 
 43 
 
 18 
 
 739590 
 
 320 
 
 922106 
 
 138 
 
 817484 
 
 459 
 
 182516 
 
 42 
 
 19 
 
 739783 
 
 320 
 
 922023 
 
 138 
 
 817759 
 
 459 
 
 182241 
 
 41 
 
 20 
 
 739975 
 
 320 
 
 921940 
 
 138 
 
 818035 
 
 458 
 
 181965 
 
 40 
 
 21 
 
 9.740167 
 
 3:20 
 
 9.921857 
 
 139 
 
 9.818310 
 
 458 
 
 10.181690 
 
 39 
 
 22 
 
 740359 
 
 320 
 
 921774 
 
 139 
 
 818585 
 
 458 
 
 181415 
 
 38 
 
 23 
 
 740550 
 
 319 
 
 921691 
 
 139 
 
 818860 
 
 458 
 
 181140 
 
 37 
 
 24 
 
 740742 
 
 319 
 
 921607 
 
 139 
 
 819135 
 
 458 
 
 180865 
 
 36 
 
 25 
 
 740934 
 
 319 
 
 921524 
 
 139 
 
 819410 
 
 458 
 
 180590 
 
 35 
 
 26 
 
 741125 
 
 319 
 
 921441 
 
 139 
 
 819684 
 
 458 
 
 180316 
 
 34 
 
 27 
 
 741316 
 
 319 
 
 921357 
 
 139 
 
 819959 
 
 458 
 
 180041 
 
 33 
 
 28 
 
 741508 
 
 318 
 
 921274 
 
 139 
 
 820234 
 
 458 
 
 179766 
 
 32 
 
 29 
 
 741699 
 
 318 
 
 921190 
 
 139 
 
 820508 
 
 457 
 
 179492 
 
 31 
 
 30 
 
 741889 
 
 318 
 
 921107 
 
 139 
 
 820783 
 
 457 
 
 179217 
 
 30 
 
 31 
 
 9.742080 
 
 318 
 
 9.921023 
 
 139 
 
 9.821057 
 
 457 
 
 10.17894,3 
 
 29 
 
 32 
 
 742271 
 
 318 
 
 920939 
 
 140 
 
 821332 
 
 457 
 
 178668 
 
 28 
 
 33 
 
 742462 
 
 317 
 
 920856 
 
 140 
 
 821606 
 
 457 
 
 178394 
 
 27 
 
 34 
 
 742652 
 
 317 
 
 920772 
 
 140 
 
 821880 
 
 457 
 
 178120 
 
 26 
 
 35 
 
 742842 
 
 317 
 
 920688 
 
 140 
 
 822154 
 
 457 
 
 177846 
 
 25 
 
 36 
 
 743033 
 
 317 
 
 920604 
 
 140 
 
 822429 
 
 457 
 
 177571 
 
 24 
 
 37 
 
 743223 
 
 317 
 
 920520 
 
 140 
 
 82270S 
 
 457 
 
 177297 
 
 23 
 
 38 
 
 743413 
 
 316 
 
 920436 
 
 140 
 
 822977 
 
 456 
 
 177023 
 
 22 
 
 39 
 
 743602 
 
 316 
 
 920352 
 
 140 
 
 823250 
 
 456 
 
 176750 
 
 21 
 
 40 
 
 743792 
 
 316 
 
 920288 
 
 140 
 
 823524 
 
 456 
 
 176476 
 
 20 
 
 41 
 
 9.743982 
 
 316 
 
 9.920184 
 
 140 
 
 9.823798 
 
 456 
 
 10.176202 
 
 19 
 
 42 
 
 744171 
 
 316 
 
 920099 
 
 140 
 
 824072 
 
 456 
 
 175928 
 
 18 
 
 43 
 
 744361 
 
 315 
 
 920015 
 
 140 
 
 824345 
 
 456 
 
 175655 
 
 17 
 
 44 
 
 744550 
 
 315 
 
 919931 
 
 141 
 
 824619 
 
 456 
 
 175381 
 
 16 
 
 45 
 
 744739 
 
 315 
 
 919846 
 
 141 
 
 824893 
 
 456 
 
 175107 
 
 15 
 
 46 
 
 744928 
 
 315 
 
 919762 
 
 141 
 
 825166 
 
 456 
 
 174834 
 
 14 
 
 47 
 
 745117 
 
 315 
 
 919677 
 
 141 
 
 825439 
 
 455 
 
 174561 
 
 13 
 
 48 
 
 745306 
 
 314 
 
 919593 
 
 141 
 
 825713 
 
 455 
 
 174287 
 
 12 
 
 49 
 
 745494 
 
 314 
 
 919508 
 
 141 
 
 825986 
 
 455 
 
 174014 
 
 11 
 
 50 
 
 745683 
 
 314 
 
 919424 
 
 141 
 
 826259 
 
 455 
 
 173741 
 
 10 
 
 51 
 
 9.745871 
 
 314 
 
 9.919339 
 
 141 
 
 9.826532 
 
 455 
 
 10.173468 
 
 c 
 
 52 
 
 746059 
 
 314 
 
 919254 
 
 141 
 
 826805 
 
 455 
 
 173195 
 
 I 
 
 53 
 
 746248 
 
 313 
 
 919169 
 
 141 
 
 827078 
 
 455 
 
 172922 
 
 1 
 
 54 
 
 746436 
 
 313 
 
 919085 
 
 141 
 
 827351 
 
 455 
 
 172649 
 
 6 
 
 55 
 
 746624 
 
 313 
 
 919000 
 
 141 
 
 827624 
 
 455 
 
 172376 
 
 K 
 
 C 
 
 56 
 
 746812 
 
 313 
 
 918915 
 
 142 
 
 827897 
 
 454 
 
 172103 
 
 4 
 
 57 
 
 746999 
 
 313 
 
 918830 
 
 142 
 
 828170 
 
 454 
 
 171830 
 
 3 
 
 58 
 
 747187 
 
 312 
 
 918745 
 
 142 
 
 828442 
 
 454 
 
 171558 
 
 t 
 
 59 
 
 747374 
 
 312 
 
 918659 
 
 142 
 
 8287 If 
 
 434 
 
 171285 
 
 ] 
 
 60 
 
 747562 
 
 312 
 
 918574 
 
 142 
 
 828987 
 
 454 
 
 171013 
 
 
 
 J Oo-siue 
 
 
 Sine 
 
 
 Cotang. 
 
 
 Tang. | M. 
 
 56 Dec 
 
52 
 
 (34 Degrees. ) A TABLE or LOGARITHMIC 
 
 M. 
 
 Sine 
 
 D. i Cosine [ D. 
 
 Tang. | D. 
 
 Cotang. | 
 
 
 
 9.747562 
 
 312 
 
 9.918574 
 
 142 
 
 9.828987 
 
 454 
 
 10.171*013 
 
 60 
 
 1 
 
 747749 
 
 312 
 
 918489 
 
 142 
 
 829260 
 
 454 
 
 170740 
 
 59 
 
 2 
 
 747936 
 
 312 
 
 918404 
 
 142 
 
 829532 
 
 454 
 
 170468 
 
 58 
 
 3 
 
 748123 
 
 311 
 
 918318 
 
 142 
 
 829805 
 
 454 
 
 170195 
 
 57 
 
 4 
 
 748310 
 
 311 
 
 918233 
 
 142 
 
 830077 
 
 454 
 
 169923 
 
 56 
 
 5 
 
 748497 
 
 311 
 
 918147 
 
 142 
 
 830349 
 
 453 
 
 169651 
 
 C 5 
 
 6 
 
 748683 
 
 311 
 
 918062 
 
 142 
 
 830621 
 
 453 
 
 169379 
 
 54 
 
 7 
 
 748870 
 
 311 
 
 917976 
 
 143 
 
 830893 
 
 453 
 
 169107 
 
 53 
 
 8 
 
 749056 
 
 310 
 
 917891 
 
 143 
 
 831165 
 
 453 
 
 168835 
 
 52 
 
 9 
 
 749243 
 
 310 
 
 917805 
 
 143 
 
 831437 
 
 453 
 
 168563 
 
 51 
 
 10 
 
 749429 
 
 310 
 
 917719 
 
 143 
 
 831709 
 
 453 
 
 168291 
 
 50 
 
 11 
 
 9.749615 
 
 310 
 
 9.917634 
 
 143 
 
 . 831981 
 
 453 
 
 10.168019 
 
 49 
 
 12 
 
 749801 
 
 310 
 
 917548 
 
 143 
 
 832253 
 
 453 
 
 167747 
 
 48 
 
 13 
 
 749987 
 
 309 
 
 917462 
 
 143 
 
 832525 
 
 453 
 
 167475 
 
 47 
 
 14 
 
 750172 
 
 309 
 
 917376 
 
 143 
 
 832796 
 
 453 
 
 167204 
 
 46 
 
 15 
 
 750358 
 
 309 
 
 917290 
 
 143 
 
 833068 
 
 452 
 
 166932 
 
 45 
 
 16 
 
 750543 
 
 309 
 
 917204 
 
 143 
 
 833339 
 
 452 
 
 166661 
 
 44 
 
 17 
 
 750729 
 
 309 
 
 917118 
 
 144 
 
 833611 
 
 452. 
 
 166389 
 
 43 
 
 18 
 
 750914 
 
 308 
 
 917032 
 
 144 
 
 833882 
 
 452 
 
 166118 
 
 42 
 
 19 
 
 751099 
 
 308 
 
 9-16946 
 
 144 
 
 834154 
 
 452. 
 
 165846 
 
 41 
 
 20 
 
 751284 
 
 308 
 
 916859 
 
 144 
 
 834425 
 
 452 
 
 165575 
 
 40 
 
 21 
 
 9.751469 
 
 308 
 
 9.916773 
 
 144 
 
 9.834696 
 
 452 
 
 10,165304 
 
 39 
 
 22 
 
 751654 
 
 308 
 
 916687 
 
 144 
 
 834967 
 
 452 
 
 165033 
 
 38 
 
 23 
 
 751839 
 
 308 
 
 916600 
 
 144 
 
 835238 
 
 452 
 
 164762 
 
 37 
 
 24 
 
 752023 
 
 307 
 
 916514 
 
 144 
 
 835509 
 
 452 
 
 164491 
 
 36 
 
 25 
 
 752208 
 
 307 
 
 916427 
 
 144 
 
 835780 
 
 451 
 
 164220 
 
 35 
 
 26 
 
 752392 
 
 30-7 
 
 916341 
 
 144 
 
 836051 
 
 451 
 
 163949 
 
 34 
 
 27 
 
 752576 
 
 307 
 
 . 916254 
 
 144 
 
 836322 
 
 451 
 
 163678 
 
 33 
 
 28 
 
 752760* 
 
 207 
 
 916167 
 
 145 
 
 836593 
 
 451 
 
 163407 
 
 32' 
 
 29 
 
 752944 
 
 306 
 
 916081 
 
 145 
 
 836864 
 
 451 
 
 163136 
 
 31 
 
 30 
 
 753128 
 
 306 
 
 915994 
 
 145 
 
 837134 
 
 451 
 
 162866 
 
 30 
 
 31 
 
 9.753312 
 
 306 
 
 9.915907 
 
 145 
 
 9.837405 
 
 451 
 
 10.162595 
 
 29 
 
 32 
 
 753495 
 
 306 
 
 915820 
 
 145 
 
 837675 
 
 451 
 
 162325 
 
 28 
 
 33 
 
 753679 
 
 306 
 
 915733 
 
 145 
 
 837946 
 
 451 
 
 162054 
 
 27 
 
 34 
 
 753862 
 
 305 
 
 915646 
 
 145 
 
 838216 
 
 451 
 
 161784 
 
 26 
 
 35 
 
 754046 
 
 305 
 
 915559 
 
 145 
 
 838487 
 
 450 
 
 161513 
 
 25 
 
 36 
 
 754229 
 
 305 
 
 915472 
 
 145 
 
 838757 
 
 450 
 
 161243 
 
 24 
 
 37 
 
 754412 
 
 305 
 
 915385 
 
 145 
 
 839027 
 
 450 
 
 160973 
 
 23 
 
 38 
 
 754595 
 
 305 
 
 915297 
 
 145 
 
 839297 
 
 450- 
 
 160703 
 
 22 
 
 "39 
 
 754778 
 
 304 
 
 915210 
 
 145 
 
 839568- 
 
 450 
 
 160432 
 
 21 
 
 40 
 
 7549GO 
 
 304 
 
 915123 
 
 146 
 
 839838 
 
 450 
 
 160162 
 
 20 
 
 41 
 
 9.755143 
 
 304 
 
 9,9 15035 
 
 146 
 
 9.840108 
 
 450 
 
 HK 159892 
 
 19 
 
 42 
 
 755326 
 
 304 
 
 914948 
 
 146 
 
 840378 
 
 450 
 
 159622 
 
 18 
 
 43 
 
 755508 
 
 304 
 
 914860 
 
 14S 
 
 840647 
 
 450 
 
 159353 
 
 17 
 
 44 
 
 755690 
 
 304 
 
 914773 
 
 146 
 
 840917 
 
 449 
 
 159083 
 
 16 
 
 45 
 
 755872 
 
 303 
 
 914685 
 
 146 
 
 841187 
 
 449 
 
 158813 
 
 15 
 
 46 
 
 756054 
 
 303 
 
 914598 
 
 146 
 
 841457 
 
 449 
 
 158543 
 
 14 
 
 47 
 
 756236 303 
 
 914510 
 
 146 
 
 841726 
 
 449 
 
 158274 
 
 13 
 
 48 
 
 756418 
 
 303 
 
 914422 
 
 146 
 
 841996 
 
 449 
 
 158004 
 
 12 
 
 49 
 
 756600 
 
 303 
 
 914334 
 
 146 
 
 842266 
 
 449 
 
 157734 
 
 11 
 
 50 
 
 756782 
 
 302 
 
 914246 
 
 147 
 
 , 842535 
 
 449 
 
 157465 
 
 10 
 
 51 
 
 9.756S63 
 
 302 
 
 9.914158 
 
 147 
 
 9.842805 
 
 449 
 
 10.157195 
 
 9 
 
 52 
 
 757144 
 
 302 
 
 914070 
 
 147 
 
 843074 
 
 449 
 
 156926 
 
 8 
 
 53 
 
 757326 
 
 302 
 
 913982 
 
 147 
 
 843343 
 
 449 
 
 156657 
 
 7 
 
 54 
 
 757507 
 
 302 
 
 913894 
 
 147 
 
 843612 
 
 449 
 
 156388 
 
 6 
 
 55 
 
 757688 
 
 301 
 
 913806 
 
 147 
 
 843882 
 
 448 
 
 156118 
 
 5 
 
 56 
 
 757869 
 
 301 
 
 913718 
 
 147 
 
 844151 
 
 448 
 
 155849 
 
 4 
 
 57 
 
 758050 
 
 301 
 
 913630 
 
 147 
 
 844420 
 
 448 
 
 155580 
 
 3 
 
 58 
 
 758230 
 
 301 
 
 913541 
 
 147 
 
 844689 
 
 448 
 
 155311 
 
 2 
 
 59 
 
 758411 
 
 301 
 
 913453 
 
 147 
 
 844958 
 
 448 
 
 155042 
 
 1 
 
 60 
 
 758591 
 
 301 
 
 913365 
 
 147 
 
 845227 
 
 448 
 
 154773 
 
 
 
 
 Cosine 
 
 1 Sine I Colang. -Tang. j M. 
 
 55 Degrees. 
 
SINES AND TATtuE.vrs. ^36 Degrees.) 
 
 53 
 
 M. | Sine | D. | Cosine | D. | Tang. D. 
 
 Cotang. 
 
 
 
 9.758591 
 
 301 
 
 9.913365 
 
 147 
 
 9.845227 
 
 448 
 
 10.154773 
 
 60 
 
 1 
 
 758772 
 
 300 
 
 913276 
 
 147 
 
 845496 
 
 448 
 
 154504 
 
 59 
 
 2 
 
 758952 
 
 300 
 
 913187 
 
 148 
 
 845764 
 
 448 
 
 154236 
 
 58 
 
 3 
 
 759132 
 
 300 
 
 913099 
 
 148 
 
 846033 
 
 448 
 
 153967 
 
 57 
 
 4 
 
 759312 
 
 300 
 
 913010 
 
 148 
 
 846302 
 
 448 
 
 153698 
 
 56 
 
 5 
 
 759492 
 
 300 
 
 912922 
 
 148 
 
 846570 
 
 447 
 
 153430 
 
 55 
 
 6 
 
 759672 
 
 299 
 
 912833 
 
 146 
 
 846839 
 
 447 
 
 153161 
 
 54 
 
 7 
 
 759852 
 
 299 
 
 912744 
 
 I4f 
 
 847107 
 
 447 
 
 152893 
 
 53 
 
 8 
 
 760031 
 
 299 
 
 912655 
 
 148 
 
 847376 
 
 447 
 
 152624 
 
 52 
 
 9 
 
 760211 
 
 299 
 
 912566 
 
 148 
 
 847644 
 
 447 
 
 152356 
 
 51 
 
 10 
 
 760390 
 
 299 
 
 912477 
 
 148 
 
 847913 
 
 447 
 
 152087 
 
 50 
 
 11 
 
 9.760569 
 
 298. 
 
 9.912388 
 
 148 
 
 9.848181 
 
 447 
 
 10.151819 
 
 49 
 
 12 
 
 760748 
 
 298 
 
 912299 
 
 1*9 
 
 848449 
 
 447 
 
 151551 
 
 48 
 
 13 
 
 760927 
 
 298 
 
 912210 
 
 149 
 
 848717 
 
 447 
 
 151283 
 
 47 
 
 14 
 
 761106 
 
 298 
 
 912121 
 
 149 
 
 848986 
 
 447 
 
 151014 
 
 46 
 
 15 
 
 761285 
 
 298 
 
 912031 
 
 149 
 
 849254 
 
 447 
 
 150746 
 
 45 
 
 16 
 
 761464 
 
 298 
 
 911942 
 
 149 
 
 849522 
 
 447 
 
 150478 
 
 44 
 
 17 
 
 7616421 297 
 
 911853 
 
 14'J 
 
 849790 
 
 446 
 
 150210 
 
 43 
 
 18 
 
 761821 
 
 297 
 
 911763 
 
 149 
 
 850058 
 
 446 
 
 149942 
 
 42 
 
 19 
 
 761999 
 
 297 
 
 911674 
 
 149 
 
 850325 
 
 446 
 
 149675 
 
 41 
 
 20 
 
 762177 
 
 297 
 
 911584 
 
 149 
 
 850593 
 
 446 
 
 149407 
 
 40 
 
 21 
 
 9.762356 
 
 297 
 
 9.911495 
 
 149 
 
 9.850861 
 
 446 
 
 10.149139 
 
 39 
 
 22 
 
 762534 
 
 296 
 
 911405 
 
 149 
 
 851129 
 
 446 
 
 148871 
 
 38 
 
 23 
 
 762712 
 
 296 
 
 911315 
 
 150 
 
 851396 
 
 446 
 
 148604 
 
 37 
 
 24 
 
 762889 
 
 296 
 
 911226 
 
 150 
 
 851664 
 
 446 
 
 148336 
 
 36 
 
 25 
 
 763067 
 
 296 
 
 911136 
 
 150 
 
 851931 
 
 446 
 
 148069 
 
 35 
 
 26 
 
 763245 
 
 296 
 
 911046 
 
 150 
 
 852 j 99 
 
 446 
 
 147801 
 
 34 
 
 27 
 
 763422 
 
 296 
 
 910956 
 
 150 
 
 852466 
 
 446 
 
 147534 
 
 33 
 
 28 
 
 763600 
 
 295 
 
 910866 
 
 150 
 
 852733 
 
 445 
 
 147267 
 
 32 
 
 29 
 
 763777 
 
 295 
 
 910776 
 
 150 
 
 853001 
 
 445 
 
 146999 
 
 31 
 
 30 
 
 763954 
 
 295 
 
 910686 
 
 150 
 
 853268 
 
 445 
 
 146732 
 
 30 
 
 31 
 
 9.764131 
 
 295 
 
 9.910596 
 
 150 9.853535 
 
 445 
 
 10.146465 
 
 29 
 
 32 
 
 764308 
 
 295 
 
 910506 
 
 150 
 
 853802 
 
 445 
 
 146198 
 
 28 
 
 33 
 
 764485 
 
 294 
 
 910415 
 
 150 
 
 854069 
 
 445 
 
 145931 
 
 27 
 
 34 
 
 764662 
 
 294 
 
 910325 
 
 151 
 
 854336 
 
 445 
 
 145684 
 
 26 
 
 35 
 
 764838 294 
 
 910235 
 
 151 
 
 854603 
 
 445 
 
 145397 
 
 25 
 
 36 
 
 765015 
 
 294 
 
 910144 
 
 151 
 
 854870 
 
 445 
 
 145130 
 
 24 
 
 37 
 
 38 
 
 765193 
 765367 
 
 294 
 294 
 
 9100541 151 
 909963 151 
 
 855137 
 855404 
 
 445 
 
 445 
 
 144863 
 144596 
 
 23 
 
 22 
 
 39 
 
 765544 
 
 293 
 
 909873! 151 
 
 855671 
 
 444 
 
 144329 
 
 21 
 
 40 
 
 785720 
 
 293 
 
 909782 
 
 151 
 
 855938 
 
 444 
 
 144062 
 
 20 
 
 41 
 
 9 . 765890 
 
 293 
 
 9.909691 
 
 151 
 
 9.856204 
 
 444 
 
 10.143796 
 
 19 
 
 42 
 
 766072 
 
 293 
 
 909601 
 
 151 
 
 856471 
 
 444 
 
 143529 
 
 18 
 
 43 
 
 766247 
 
 293 
 
 909MO 
 
 151 
 
 856737 
 
 444 
 
 143263 
 
 17 
 
 44 
 
 766423 
 
 293 
 
 909419 
 
 151 
 
 857004 
 
 444 
 
 142996 
 
 16 
 
 45 
 
 766598 
 
 292 
 
 909328 
 
 152 
 
 857270 
 
 444 
 
 142730 
 
 15 
 
 46 
 
 766774 
 
 292 
 
 909237 
 
 152 
 
 857537 
 
 444 
 
 142463 
 
 14 
 
 47 
 
 766949 
 
 292 
 
 909146 
 
 152 
 
 857803 
 
 444 
 
 142197 
 
 13 
 
 48 
 
 767124 
 
 292 
 
 909055 
 
 152 
 
 858069 
 
 444 
 
 141931 
 
 12 
 
 49 
 
 767300 
 
 292 
 
 908964 
 
 152 
 
 ' 858336 
 
 444 
 
 141664 
 
 11 
 
 50 
 
 767475 
 
 291 
 
 908873 
 
 .152 
 
 858602 
 
 443 
 
 141398 
 
 10 
 
 51 
 
 9.767649 
 
 291 
 
 9.908781 
 
 152 
 
 9.858868 
 
 443 
 
 10.141132 
 
 9 
 
 52 
 
 767824 
 
 291 
 
 908690 
 
 152 
 
 859134 
 
 443 
 
 140866 
 
 8 
 
 53 
 
 767999 
 
 291 
 
 908599 
 
 152 
 
 859400 
 
 443 
 
 140600 
 
 7 
 
 54 
 
 768173 
 
 291 
 
 908507 
 
 152 
 
 859666 
 
 443 
 
 140334 
 
 6 
 
 55 
 
 768348 
 
 290 
 
 908416 
 
 153 
 
 859932 
 
 443 
 
 140068 
 
 5 
 
 56 
 
 768522 
 
 290 
 
 908324 
 
 153 
 
 860198 
 
 443 
 
 139802 
 
 4 
 
 57 
 
 768697 
 
 290 
 
 908233 
 
 153 
 
 860464 
 
 443 
 
 139536 
 
 3 
 
 58 
 
 768871 
 
 290 
 
 908141 
 
 153 
 
 860730 
 
 443 
 
 139270 
 
 2 
 
 59 
 
 769045 
 
 290 
 
 908049 
 
 153 
 
 860995 
 
 443 
 
 139005 
 
 1 
 
 60 
 
 7692191 290 
 
 907958 
 
 153 
 
 861261 
 
 443 
 
 138739 
 
 
 
 j Conine J | Sine Cotang. 
 
 Tang. 
 
 M. 
 
 5* 
 
 54 Degrees. 
 
64 
 
 (3G Degrees.; A ABLE or LOGARITHMIC 
 
 ML 
 
 Sine 1 D. 1 Cosine [ D. 
 
 Tang. ( D. Cotang. 
 
 
 
 
 9.769219 
 
 290 
 
 9.907958 
 
 153 
 
 9.861261 
 
 443 
 
 10.138739 
 
 60 
 
 1 
 
 769393 
 
 289 
 
 907866 
 
 153 
 
 861527 
 
 443 
 
 138473 
 
 5& 
 
 2 
 
 769566 
 
 289 
 
 907774 
 
 153 
 
 861792 
 
 442 
 
 138208 
 
 58 
 
 3 
 
 769740 
 
 289 
 
 907682 
 
 153 
 
 862058 
 
 442 
 
 137942 
 
 57 
 
 4 
 
 769913 
 
 289 
 
 907590 
 
 153 
 
 862a23 
 
 442 
 
 137677 
 
 56 
 
 5 
 
 770087 
 
 289 
 
 907498 
 
 153 
 
 862589 
 
 442 
 
 137411 
 
 55 
 
 6 
 
 770260 
 
 288 
 
 907406 
 
 153 
 
 862854 
 
 442 
 
 137146 
 
 54 
 
 7 
 
 770433 
 
 288 
 
 907314 
 
 154 
 
 863119 
 
 442 
 
 136881 
 
 53 
 
 8 
 
 770606 
 
 288 
 
 907222 
 
 154 
 
 863385 
 
 442 
 
 136615 
 
 52 
 
 9 
 
 770779 
 
 288 
 
 907129 
 
 154 
 
 863650 
 
 442 
 
 136350 
 
 51 
 
 10 
 
 770952 
 
 288 
 
 907037 
 
 154 
 
 863915 
 
 442 
 
 136085 
 
 50 
 
 11 
 
 9.771125 
 
 288 
 
 9 906945 
 
 154 
 
 9.864180 
 
 442 
 
 10.135820 
 
 49 
 
 12 
 
 771298 
 
 287 
 
 906852 
 
 154 
 
 864445 
 
 442 
 
 135555 
 
 48 
 
 13 
 
 771470 
 
 287 
 
 906760 
 
 154 
 
 864710 
 
 442 
 
 135290 
 
 47 
 
 14 
 
 771643 
 
 287 
 
 9<M>667 
 
 154 
 
 864975 
 
 441 
 
 135025 
 
 46 
 
 15 
 
 771815 
 
 287 
 
 906575 
 
 154 
 
 865240 
 
 441 
 
 134760 
 
 45 
 
 16 
 
 771987 
 
 287 
 
 906482 
 
 154 
 
 865505 
 
 441 
 
 134495 
 
 44 
 
 17 
 
 772159 
 
 287 
 
 906389 
 
 155- 
 
 865770 
 
 441 
 
 134230 
 
 43 
 
 18 
 
 772331 
 
 286 
 
 906296 
 
 155 
 
 866035 
 
 441 
 
 133965 
 
 42 
 
 19 
 
 772503 
 
 286 
 
 906-204 
 
 155 
 
 866300 
 
 441 
 
 133700 
 
 41 
 
 20 
 
 772675 
 
 286 
 
 906111 
 
 155 
 
 866564 
 
 441 
 
 133436 
 
 40 
 
 21 
 
 9.772847 
 
 286 
 
 9.906018 
 
 155 
 
 9.866829 
 
 441 
 
 10,133171 
 
 39 
 
 22 
 
 773018 
 
 286 
 
 905925 
 
 155 
 
 867094 
 
 441 
 
 132906 
 
 38 
 
 23 
 
 773190 
 
 286 
 
 905832 
 
 155 
 
 867358 
 
 441 
 
 132642 
 
 37 
 
 24 
 
 773361 
 
 285 
 
 305739 
 
 155 
 
 867623 
 
 441 
 
 132377 
 
 36 
 
 25 
 
 773533 
 
 285 
 
 905645 
 
 155 
 
 867887 
 
 441 
 
 132113 
 
 35 
 
 26 
 
 773704 
 
 285 
 
 905> r >52 
 
 155 
 
 8458152 
 
 440 
 
 131848 
 
 34 
 
 27 
 
 773875 
 
 285 
 
 905459 
 
 155 
 
 868416 
 
 440 
 
 131584 
 
 33 
 
 28 
 
 774046 
 
 285 
 
 905366 
 
 156 
 
 868680 
 
 440 
 
 131320 
 
 32 
 
 29 
 
 774217 
 
 285 
 
 905272 
 
 156 
 
 868945 
 
 440 
 
 131055 
 
 31 
 
 30 
 
 774388 
 
 284 
 
 905179 
 
 156 
 
 869209 
 
 440 
 
 130791 
 
 30 
 
 31 
 
 9.774558 
 
 284 
 
 $,905085 
 
 156 
 
 9.869473 
 
 440 
 
 10.130527 
 
 29 
 
 32 
 
 774729= 
 
 284 
 
 904992 
 
 156 
 
 869737 
 
 440 
 
 13026-3 
 
 28 
 
 .33 
 
 774899 
 
 284 
 
 904898 
 
 156 
 
 870001 
 
 440 
 
 129999 
 
 27 
 
 34 
 
 775070- 
 
 284 
 
 904804 
 
 156 
 
 870265 
 
 440 
 
 129735 
 
 26 
 
 35 
 
 775240 
 
 284 
 
 904711 
 
 156- 
 
 870529 
 
 440 
 
 129471 
 
 25 
 
 36 
 
 776410 
 
 283 
 
 904617 
 
 156 
 
 870793 
 
 440 
 
 129207 
 
 24 
 
 37 
 
 775580 
 
 283 
 
 904523 
 
 156 
 
 871057 
 
 440 
 
 128943 
 
 23 
 
 38 
 
 775750 
 
 283 
 
 9044291 157 
 
 871321 
 
 440 
 
 128679 
 
 22 
 
 39 
 
 775920 
 
 283 
 
 904335 
 
 157 
 
 871585 
 
 440 
 
 128415 
 
 21 
 
 40 
 
 776090 
 
 283 
 
 904241 
 
 157 
 
 871849 
 
 439 
 
 128151 
 
 20 
 
 41 
 
 9.776251) 
 
 283 
 
 9.904147 
 
 157 
 
 .9.872112 
 
 439 
 
 10,127888 
 
 19 
 
 42 
 
 776429- 
 
 S2 
 
 904053 
 
 157 
 
 872376 
 
 439 
 
 127624 
 
 18 
 
 43 
 
 776598 
 
 282 
 
 903959 
 
 157 
 
 872640 
 
 439 
 
 127360 
 
 17 
 
 44 
 
 776768 
 
 282 
 
 903864 
 
 157 
 
 872903 
 
 439 
 
 1 27097 
 
 16 
 
 45 
 
 776937 
 
 28-2 
 
 903770 
 
 157 
 
 873167 
 
 439 
 
 126833 
 
 15 
 
 46 
 
 777 106! 282 
 
 903676 
 
 157 
 
 8-73430 
 
 439 
 
 1265YO 
 
 14 
 
 47 
 
 777275 
 
 281 
 
 903581 
 
 157 
 
 873694 
 
 439 
 
 12G306 
 
 13 
 
 48 
 
 777444 
 
 28-1 
 
 903&87 
 
 157 
 
 873957 
 
 439 
 
 126043 
 
 12 
 
 49 
 
 777613 
 
 281 
 
 903392 
 
 158 
 
 874220 
 
 439 
 
 125780 
 
 11 
 
 50 
 
 777781 
 
 281 
 
 903298 
 
 158 
 
 874484 
 
 439 
 
 125516 
 
 10 
 
 51 
 
 9.777950 
 
 281 
 
 9.903203 
 
 158 
 
 9.874747 
 
 439 10,125253 
 
 9 
 
 52 
 
 778119 
 
 281 
 
 903108 
 
 158 
 
 875010 
 
 439 
 
 124990 
 
 8 
 
 53 
 
 778287 
 
 280 
 
 903014 
 
 158 
 
 875273 
 
 438 
 
 124727 
 
 7 
 
 54 
 
 778455 
 
 280 
 
 902919 
 
 158 
 
 875536 
 
 438 
 
 124464 
 
 6 
 
 55 
 
 778624 
 
 280 
 
 902824 
 
 158 
 
 875800 
 
 ; 4&8 
 
 124200 
 
 5 
 
 56 
 
 778792 
 
 280 
 
 902729 
 
 158 
 
 876063 
 
 438 
 
 123937 
 
 4 
 
 57 
 
 778960 
 
 280 
 
 902634 
 
 158 
 
 876326 
 
 1 438 
 
 123674 
 
 3 
 
 58 
 
 779128 
 
 280 
 
 902539 
 
 159 
 
 876589 
 
 438 
 
 123411 
 
 2 
 
 59 
 
 779295 
 
 279 
 
 902444 
 
 159 
 
 876851 
 
 : 438 
 
 123149 
 
 1 
 
 60 
 
 779463 
 
 279 
 
 902349' 159 
 
 877114 
 
 ; 438 
 
 122886 
 
 
 
 
 Cosine | 
 
 Sine 1 | Cotang. 
 
 j Tang. | M. 
 
 Degrees. 
 
SINES AND TANGENTS. (37 Degrees.) 
 
 55 
 
 M. Sine | D. Cosine | D. | Tang. D. Cotang. | 
 
 
 
 9.779463 
 
 279 
 
 9.902349 
 
 159 
 
 9.877114 
 
 438 
 
 10.122886 
 
 bO 
 
 1 
 
 779631 
 
 279 
 
 902253 
 
 159 
 
 877377 
 
 438 
 
 122623 
 
 59 
 
 2 
 
 779798 
 
 279 
 
 902158 
 
 159 
 
 877640 
 
 48& 
 
 122360 
 
 58 
 
 3 
 
 779966 
 
 279 
 
 902063 
 
 159 
 
 877903 
 
 438 
 
 122097 
 
 57 
 
 4 
 
 780133 
 
 279 
 
 901967 
 
 159 
 
 878165 
 
 438 
 
 121835 
 
 56 
 
 5 
 
 780300 
 
 278 
 
 901872 
 
 159 
 
 878428 
 
 438 
 
 121572 
 
 55 
 
 6 
 
 780467 
 
 278 
 
 901776 
 
 159 
 
 878691 
 
 438 
 
 121309 
 
 54 
 
 7 
 
 780634 
 
 278 
 
 901681 
 
 159 
 
 878953 
 
 437 
 
 121047 
 
 53 
 
 8 
 
 780801 
 
 278 
 
 901585 
 
 159 
 
 879216 
 
 437 
 
 120784 
 
 52 
 
 9 
 
 780968 
 
 278 
 
 901490 
 
 159 
 
 879478 
 
 437 
 
 120522 
 
 51 
 
 10 
 
 781134 
 
 278 
 
 901394 
 
 160 
 
 879741 
 
 437 
 
 120259 
 
 50 
 
 11 
 
 9.781301 
 
 277 
 
 9.901298 
 
 160 
 
 9.880003 
 
 437 
 
 10.119997 
 
 49 
 
 12 
 
 781468 
 
 277 
 
 01202 
 
 160 
 
 880265 
 
 437 
 
 119735 
 
 48 
 
 13 
 
 781634 
 
 277 
 
 901106 
 
 160 
 
 880528 
 
 437 
 
 119472 
 
 47 
 
 14 
 
 781800 
 
 277 
 
 901010 
 
 160 
 
 880790 
 
 437 
 
 119210 
 
 46 
 
 15 
 
 781966 
 
 277 
 
 900914 
 
 160 
 
 881052 
 
 437 
 
 118948 
 
 45 
 
 16 
 
 782132 
 
 277 
 
 900818 
 
 161 
 
 881314 
 
 437 
 
 118686 
 
 44 
 
 17 
 
 782298 
 
 276 
 
 900722 
 
 160 
 
 881576 
 
 437 
 
 118424 
 
 43 
 
 18 
 
 782464 
 
 276 
 
 900626 
 
 160 
 
 881839 
 
 437 
 
 118161 
 
 42 
 
 19 
 
 782630 
 
 276 
 
 900529 
 
 160 
 
 882101 
 
 437 
 
 117899 
 
 41 
 
 20 
 
 782796 
 
 276 
 
 900433 
 
 161 
 
 882363 
 
 436 
 
 117637 
 
 40 
 
 21 
 
 9.782961 
 
 276 
 
 9.900337 
 
 161 
 
 9.882625 
 
 436 
 
 10.117375 
 
 39 
 
 22 
 
 783127 
 
 276 
 
 900240 
 
 161 
 
 882887 
 
 436 
 
 117113 
 
 38 
 
 23 
 
 733292 
 
 275 
 
 900144 
 
 161 
 
 883148 
 
 436 
 
 116852 
 
 37 
 
 24 
 
 783458 
 
 275 
 
 900047 
 
 161 
 
 883410 
 
 436 
 
 116590 
 
 36 
 
 25 
 
 783623 
 
 275 
 
 899951 
 
 161 
 
 883672 
 
 436 
 
 116328 
 
 35 
 
 26 
 
 783738 
 
 275 
 
 899354 
 
 161 
 
 883934 
 
 436 
 
 116066 
 
 34 
 
 27 
 
 783953 
 
 275 
 
 899757 
 
 161 
 
 834196 
 
 436 
 
 115804 
 
 33 
 
 28 
 
 784118 
 
 275 
 
 899660 
 
 161 
 
 884457 
 
 436 
 
 115543 
 
 32 
 
 29 
 
 784282 
 
 274 
 
 899564 
 
 161 
 
 884719 
 
 436 
 
 115281 
 
 31 
 
 30 
 
 784447 
 
 274 
 
 899467 
 
 162 
 
 884980 
 
 436 
 
 115020 
 
 30 
 
 31 
 
 9.784612 
 
 274 
 
 9.899370 
 
 162 
 
 9 . 885242 
 
 436 
 
 10.114758 
 
 29 
 
 32 
 
 784776 
 
 274 
 
 899273 
 
 162 
 
 885503 
 
 436 
 
 114497 
 
 28 
 
 33 
 
 784941 
 
 274 
 
 899176 
 
 162 
 
 885765 
 
 436 
 
 1 14235 
 
 27 
 
 34 
 
 785105 
 
 274 
 
 899078 
 
 162 
 
 8S6026 
 
 436 
 
 113974 
 
 26 
 
 35 
 
 785269 
 
 273 
 
 893931 
 
 162 
 
 886238 
 
 436 
 
 113712 
 
 25 
 
 36 
 
 785433 
 
 273 
 
 893834 
 
 162 
 
 886549 
 
 435 
 
 113451 
 
 24 
 
 37 
 
 785597 
 
 273 
 
 898787 
 
 162 
 
 880810 
 
 435 
 
 113190 
 
 23 
 
 38 
 
 78576 1 
 
 273 
 
 893689 
 
 162 
 
 887072 
 
 435 
 
 112928 
 
 22 
 
 39 
 
 735925 
 
 273 
 
 893592 
 
 162 
 
 887333 
 
 435 
 
 112667 
 
 21 
 
 40 
 
 786089 
 
 273 
 
 898494 
 
 163 
 
 887594 
 
 435 
 
 112406 
 
 20 
 
 41 
 
 9.736252 
 
 272 
 
 9.893397 
 
 163 
 
 9.887855 
 
 435 
 
 10.112145 
 
 19 
 
 42 
 
 786416 
 
 272 
 
 8982J9 
 
 163 
 
 888116 
 
 435 
 
 111884 
 
 13 
 
 43 
 
 786579 
 
 272 
 
 893202 
 
 163 
 
 883377 
 
 435 
 
 111623 
 
 17 
 
 44 
 
 786742 
 
 272 
 
 893104 
 
 I63i 833639 
 
 435 
 
 111361 
 
 16 
 
 45 
 
 786906 
 
 272 
 
 893006 
 
 163 
 
 838900 
 
 435 
 
 111100 
 
 15 
 
 46 
 
 787069 
 
 272 
 
 897908 
 
 163 
 
 839160 
 
 435 
 
 1 10840 
 
 14 
 
 47 
 
 787232 
 
 271 
 
 897810 
 
 163 
 
 889421 
 
 435 
 
 110579 
 
 13 
 
 48 
 
 787395 
 
 271 
 
 897712 
 
 163 
 
 889682 
 
 435 
 
 110318 
 
 12 
 
 49 
 
 787557 
 
 271 
 
 897614 
 
 163 
 
 889943 
 
 435 
 
 110057 
 
 11 
 
 50 
 
 787720 
 
 271 
 
 897516 
 
 163 
 
 890204 
 
 434 
 
 109796 
 
 10 
 
 51 
 
 9.787883 
 
 271 
 
 9.897418 
 
 164 
 
 9.890465 
 
 434 
 
 10.109535 
 
 9 
 
 52 
 
 788045 
 
 271 
 
 897320 
 
 164 
 
 890725 
 
 434 
 
 109275 
 
 8 
 
 53 
 
 788208 
 
 271 
 
 897222 
 
 164 
 
 890986 
 
 434 
 
 109014 
 
 7 
 
 54 
 
 783370 
 
 270 
 
 897123 
 
 164 
 
 891247 
 
 434 
 
 108753 
 
 6 
 
 55 
 
 788532 
 
 270 
 
 897025 
 
 164 
 
 891507 
 
 434 
 
 108493 
 
 X 
 tJ 
 
 56 
 
 788694 
 
 270 
 
 896926 
 
 164 
 
 891768 
 
 434 
 
 108232 
 
 4 
 
 57 
 
 788856 
 
 270 
 
 89682S 
 
 164 
 
 892028 
 
 434 
 
 107972 
 
 q 
 
 58 
 
 789018 
 
 270 
 
 896729 
 
 164 
 
 892289 
 
 434 
 
 107711 
 
 2 
 
 59 
 
 789180 
 
 270 
 
 896631 
 
 164 
 
 892549 
 
 434 
 
 107451 
 
 1 
 
 60 
 
 789342 
 
 269 
 
 896532 
 
 164 
 
 892810 
 
 434 
 
 107190 
 
 
 
 
 Cosine 
 
 
 Sine 
 
 
 Cotang. 
 
 Tang. j 
 
 52 Degrees 
 
56 
 
 (38 Degrees.) A TABLE OF LOGARITHMIC 
 
 M. | Sine I). | r,,ii M . | D. Tan* | D. 
 
 Cotang. | 
 
 
 
 9.789342 
 
 269 
 
 9.890532 
 
 164 
 
 9.892810 
 
 434 
 
 10.107190-60 
 
 1 
 
 789504 
 
 269 
 
 896433 
 
 165 
 
 893070 
 
 434 
 
 106930 
 
 59 
 
 2 
 
 789665 
 
 269 
 
 896335 
 
 165 
 
 893331 
 
 434 
 
 106669 
 
 58 
 
 3 
 
 789827 
 
 269 
 
 896236 
 
 165 
 
 893591 
 
 434 
 
 106409 
 
 57 
 
 4 
 
 789988 
 
 269 
 
 896137 
 
 165 
 
 893851 
 
 434 
 
 106119 
 
 56 
 
 5 
 
 790149 
 
 269 
 
 896038 
 
 165 
 
 894111 
 
 434 
 
 105889 
 
 55 
 
 6 
 
 790310 
 
 268 
 
 895939 
 
 165 
 
 894371 
 
 434 
 
 105629 
 
 54 
 
 7 
 
 790471 
 
 268 
 
 895840 
 
 165 
 
 894632 
 
 433 
 
 105368 
 
 53 
 
 8 
 
 790632 
 
 268 
 
 895741 
 
 165 
 
 894892 
 
 433 
 
 105108 
 
 52 
 
 9 
 
 790793 
 
 268 
 
 895641 
 
 165 
 
 895152 
 
 433 
 
 104848 
 
 51 
 
 10 
 
 790954 
 
 268 
 
 895542 
 
 165 
 
 895412 
 
 433 
 
 104588 50 
 
 11 
 
 9.791115 
 
 268 
 
 9.895443 
 
 166 
 
 9.895672 
 
 433 
 
 10,104328 49 
 
 12 
 
 791275 
 
 267 
 
 895343 
 
 166 
 
 895932 
 
 433 
 
 104068 
 
 48 
 
 13 
 
 791436 
 
 267 
 
 895244 
 
 166 
 
 896192 
 
 433 
 
 103808 
 
 47 
 
 14 
 
 791596 
 
 267 
 
 895145 
 
 166 
 
 896452 
 
 433 
 
 103548 
 
 46 
 
 15 
 
 791757 
 
 267 
 
 895045 
 
 166 
 
 896712 
 
 433 
 
 103288 
 
 45 
 
 16 
 
 791917 
 
 267 
 
 894945 
 
 166 
 
 896971 
 
 433 
 
 103029 
 
 44 
 
 17 
 
 792077 
 
 267 
 
 894846 
 
 166 
 
 897231 
 
 433 
 
 102769 
 
 43 
 
 18 
 
 792237 
 
 266 
 
 894746 
 
 166 
 
 897491 
 
 433 
 
 102509 
 
 42 
 
 19 
 
 792397 
 
 266 
 
 894646 
 
 166 
 
 897751 
 
 433 
 
 102249 
 
 41 
 
 20 
 
 792557 
 
 266 
 
 894546 
 
 166 
 
 898010 
 
 433 
 
 101990 
 
 40 
 
 21 
 
 9.792716 
 
 266 
 
 9.894446 
 
 167 
 
 9.898270 
 
 433 
 
 10.101730 
 
 39 
 
 22 
 
 792876 
 
 266 
 
 894346 
 
 167 
 
 898530 
 
 433 
 
 101470 
 
 38 
 
 23 
 
 793035 
 
 266 
 
 894246 
 
 167 
 
 898789 
 
 433 
 
 101211 
 
 37 
 
 24 
 
 793195 
 
 265 
 
 894146 
 
 167 
 
 899049 
 
 432 
 
 100951 
 
 36 
 
 25 
 
 793354 
 
 265 
 
 894046 
 
 167 
 
 899308 
 
 432 
 
 100692 
 
 35 
 
 26 
 
 793514 
 
 265 
 
 893946 
 
 167 
 
 899568 
 
 433 
 
 100432 
 
 34 
 
 27 
 
 793673 
 
 265 
 
 893846 
 
 167 
 
 899827 
 
 432 
 
 100173 
 
 33 
 
 28 
 
 793832 
 
 2G5 
 
 893745 
 
 187 
 
 900086 
 
 432 
 
 099914 
 
 32 
 
 29 
 
 793991 
 
 265 
 
 893645 
 
 167 
 
 900346 
 
 432 
 
 099654 
 
 31 
 
 30 
 
 794150 
 
 264 
 
 . 893544 
 
 167 
 
 900605 
 
 432 
 
 099395 
 
 30 
 
 31 
 
 9.794308 
 
 264 
 
 9.893444 
 
 168 
 
 9.900864 
 
 432 
 
 10.099136 
 
 29 
 
 32 
 
 794467 
 
 264 
 
 893343 
 
 168 
 
 901124 
 
 432 
 
 09887-6 
 
 28 
 
 33 
 
 794626 
 
 264 
 
 893243 
 
 168 
 
 901383 
 
 432 
 
 098617 
 
 27 
 
 34 
 
 794784 
 
 264 
 
 893142 
 
 168 
 
 901642 
 
 432 
 
 098358 
 
 26 
 
 35 
 
 794942 
 
 264 
 
 893041 
 
 168 
 
 901901 
 
 432 
 
 098099 
 
 25 
 
 36 
 
 795101 
 
 264 
 
 89294-0 
 
 168 
 
 902160 
 
 432 
 
 097840 
 
 24 
 
 37 
 
 795259 
 
 263 
 
 892839 
 
 168 
 
 902419 
 
 432 
 
 097581 
 
 23 
 
 38 
 
 795417 
 
 263 
 
 892739 
 
 168 
 
 902679 
 
 432 
 
 097321 
 
 22 
 
 39 
 
 795575 
 
 203 
 
 892638 
 
 168 
 
 902938 
 
 432 
 
 097062 
 
 21 
 
 40 
 
 795733 
 
 263 
 
 892536 
 
 168 
 
 903197 
 
 431 
 
 096803 
 
 20 
 
 41 
 
 9.795891 
 
 263 
 
 9.892435! 169 
 
 9.903455 
 
 431 
 
 10.096545 
 
 19 
 
 42 
 
 796049 
 
 263 
 
 892334 
 
 169 
 
 903714 
 
 431 
 
 096286 
 
 18 
 
 43 
 
 796206 
 
 263 
 
 892233 
 
 169 
 
 903973 
 
 431 
 
 096027 
 
 17 
 
 44 
 
 796364 
 
 262 
 
 892132 
 
 169 
 
 904232 
 
 431 
 
 095768 
 
 16 
 
 45 
 
 796521 
 
 262 
 
 892030 
 
 169 
 
 904491 
 
 431 
 
 095509 
 
 15 
 
 46 
 
 796679 
 
 262 
 
 891929 
 
 169 
 
 904750 
 
 431 
 
 095250 
 
 14 
 
 47 
 
 796836 
 
 262 
 
 891827 
 
 169 
 
 905008 
 
 431 
 
 094992 
 
 13 
 
 48 
 
 796993 
 
 262 
 
 891726 
 
 169 
 
 905267 
 
 431 
 
 094733 
 
 12 
 
 49 
 
 797150 
 
 261 
 
 891624 
 
 169 
 
 905526 
 
 431 
 
 094474 
 
 11 
 
 50 
 
 797307 
 
 261 
 
 891523 
 
 170 
 
 905784 
 
 431 
 
 094216 
 
 10 
 
 51 
 
 9.797464 
 
 261 
 
 9.891421 
 
 170 
 
 9 . 906043 
 
 431 
 
 10.093957 
 
 9 
 
 52 
 
 797621 
 
 261 
 
 891319 
 
 170 
 
 906302 
 
 431 
 
 093698 
 
 8 
 
 53 
 
 797777 
 
 261 
 
 891217 
 
 170 
 
 90S560 
 
 431 
 
 093440 
 
 7 
 
 54 
 
 797934 
 
 261 
 
 891115 
 
 170 
 
 906819 
 
 431 
 
 093181 
 
 6 
 
 55 
 
 79S091 
 
 261 
 
 891013 
 
 170 
 
 907077 
 
 431 
 
 092923 
 
 5 
 
 56 
 
 79S247 
 
 261 
 
 890911 
 
 170 
 
 907336 
 
 431 
 
 092664 
 
 4 
 
 57 
 
 798403 
 
 260 
 
 890809 
 
 170 
 
 907594 
 
 431 
 
 092406 
 
 3 
 
 58 
 
 798560 
 
 260 
 
 890707 
 
 170 
 
 907852 
 
 431 
 
 092148 
 
 2 
 
 59 
 
 798716 
 
 260 
 
 890605 
 
 170 
 
 908111 
 
 430 
 
 091889 
 
 1 
 
 60 
 
 798872 
 
 260 
 
 890503 
 
 170 
 
 ' 908369 
 
 430 
 
 091631 
 
 
 
 { Cosine J | Sine 
 
 | Cotang. | 
 
 Tang. 1 M. 
 
 31 Decrees. 
 
SINES AND TANGENTS. (39 Degrees.) 
 
 M. 
 
 Sine 
 
 D. 
 
 Cosine D. Tang. | D. | Cotang. 
 
 
 
 9.798872 
 
 260 
 
 9.890503 
 
 170 
 
 9.908369 
 
 430 
 
 10.091631 
 
 60 
 
 1 
 
 799028 
 
 260 
 
 890400 
 
 171 
 
 908628 
 
 430 
 
 091372 
 
 59 
 
 2 
 
 799184 
 
 260 
 
 890298 
 
 171 
 
 908886 
 
 430 
 
 091114 
 
 58 
 
 3 
 
 799339 
 
 259 
 
 890195 
 
 171 
 
 909144 
 
 430 
 
 090856 
 
 57 
 
 4 
 
 799495 
 
 259 
 
 890093 
 
 171 
 
 909402J 430 
 
 090598 
 
 66 
 
 5 
 
 799651 
 
 259 
 
 889990 
 
 171 
 
 909660 430 
 
 090340 
 
 55 
 
 6 
 
 799806 
 
 259 
 
 889888 
 
 171 
 
 909918 430 
 
 090082 
 
 54 
 
 7 
 
 799962 
 
 259 
 
 889785 
 
 171 
 
 910177 430 
 
 089823 53 
 
 8 
 
 800117 
 
 259 
 
 889682 
 
 171 
 
 910435J 430 
 
 089565 52 
 
 9 
 
 800272 
 
 258 
 
 889579 
 
 171 
 
 910693 430 
 
 08930? 51 
 
 10 
 
 800427 
 
 258 
 
 889477 
 
 171 
 
 910951! 430 
 
 089049 
 
 50 
 
 11 
 
 9.800582 
 
 258 
 
 9.889374 
 
 172 
 
 9.911209; 430 
 
 10.088791 
 
 49 
 
 12 
 
 800737 
 
 258 
 
 889271 
 
 172 
 
 911467J 430 
 
 088533 
 
 48 
 
 13 
 
 800892 
 
 258 
 
 889168 
 
 172 
 
 911724! 430 
 
 088276 
 
 4? 
 
 14 
 
 801047 
 
 258 
 
 889064 
 
 172 
 
 911982! 430 
 
 088018 
 
 40 
 
 15 
 
 801201 
 
 258 
 
 888961 
 
 172 
 
 912240: 430 
 
 087760 
 
 45 
 
 16 
 
 801356 
 
 257 
 
 888858 
 
 172 
 
 912498! 430 
 
 087502 
 
 44 
 
 17 
 
 801511 
 
 257 
 
 888755 
 
 172 
 
 912756 
 
 430 
 
 087244 
 
 43 
 
 18 
 
 801665 
 
 257 
 
 888651 
 
 172 
 
 913014 
 
 429 
 
 0869S6 
 
 42 
 
 19 
 
 801819 
 
 257 
 
 888548 
 
 172 
 
 913271 
 
 429 
 
 086729 
 
 41 
 
 20 
 
 801973 
 
 257 
 
 888444 
 
 173 
 
 913529 
 
 429 
 
 086471 
 
 40 
 
 21 
 
 9.802128 
 
 257 9.888341 
 
 173 
 
 9.913787 
 
 429 
 
 10.086^13 
 
 39 
 
 22 
 
 802282 
 
 256 
 
 888237 
 
 173 
 
 914044 
 
 429 
 
 085956 
 
 38 
 
 23 
 
 802436 
 
 256 
 
 888134 
 
 173 
 
 914302 
 
 429 
 
 085698 
 
 37 
 
 24 
 
 802589 
 
 256 
 
 888030 
 
 173 
 
 914560 
 
 429 
 
 085440 
 
 36 
 
 25 
 
 802743 
 
 256 
 
 887926 
 
 173 
 
 914817 
 
 429 
 
 085183 
 
 35 
 
 26 
 
 802897 
 
 256 
 
 887822 
 
 173 
 
 915075 
 
 429 
 
 084925 
 
 34 
 
 27 
 
 803050 
 
 256 
 
 887718 
 
 173 
 
 915332 
 
 429 
 
 084668 
 
 33 
 
 28 
 
 803204 
 
 256 
 
 887614 
 
 173 
 
 915590 
 
 429 
 
 084410 
 
 32 
 
 29 
 
 803357 
 
 255 
 
 887510 
 
 173 
 
 915847 
 
 429 
 
 084153 
 
 31 
 
 30 
 
 803511 
 
 255 
 
 887406 
 
 174 
 
 916104 
 
 429 
 
 083896 
 
 30 
 
 31 
 
 9.803664 
 
 255 
 
 9.887302 
 
 174 
 
 9.916362 
 
 429 
 
 10.083638 
 
 29 
 
 32 
 
 803817 
 
 255 
 
 887198 
 
 174 
 
 916619 
 
 429 
 
 083381 
 
 28 
 
 33 
 
 803970 
 
 255 
 
 887093 
 
 174 
 
 916877 
 
 429 
 
 083123 
 
 2? 
 
 34 
 
 804123 
 
 255 
 
 886989 
 
 174 
 
 917134 
 
 429 
 
 082866 
 
 26 
 
 35 
 
 804276 
 
 254 
 
 886885 
 
 174 
 
 917391 
 
 429 
 
 OS2609 
 
 25 
 
 36 
 
 804428 
 
 254 
 
 886780 
 
 174 
 
 917648 
 
 429 
 
 082352 
 
 24 
 
 3!T 
 
 804581 
 
 254 
 
 886676 
 
 174 
 
 917905 
 
 429 
 
 082095 
 
 23 
 
 38 
 
 804734 
 
 254 
 
 886571 
 
 174 
 
 918163! 428 
 
 08183? 
 
 22 
 
 39 
 
 804886 
 
 254 
 
 8S6466 
 
 174 
 
 918420; 428 
 
 OS 1 580 
 
 21 
 
 40 
 
 805039 
 
 254 
 
 886362 
 
 175 
 
 918677 
 
 428 
 
 081323 
 
 20 
 
 41 
 
 9.805191 
 
 254 
 
 9.886257 
 
 175 
 
 9.918934 
 
 428 
 
 10.081066 
 
 19 
 
 42 
 
 805343 
 
 253 
 
 886152 
 
 175 
 
 919191 
 
 428 
 
 080809 
 
 18 
 
 43 
 
 805495 
 
 253 
 
 886047 
 
 175 
 
 919448 
 
 428 
 
 080552 
 
 17 
 
 44 
 
 805647 
 
 253 
 
 885942 
 
 175 
 
 919705 
 
 428 
 
 080295 
 
 16 
 
 45 
 
 805799 
 
 253 
 
 885837 
 
 175 
 
 919962 
 
 428 
 
 080038 
 
 15 
 
 46 
 
 805951 
 
 253 
 
 885732 
 
 175 
 
 920219 428 
 
 079781 
 
 14 
 
 47 
 
 806103 
 
 253 
 
 885627 
 
 175 
 
 9204761 428 
 
 079524 
 
 13 
 
 48 
 
 806254 
 
 253 
 
 885522 
 
 175 
 
 920733 
 
 428 
 
 079267 
 
 12 
 
 49 
 
 806406 
 
 252 
 
 885416 
 
 175 
 
 920990 
 
 428 
 
 079010 
 
 11 
 
 50 
 
 806557 
 
 252 
 
 885311 
 
 176 
 
 921247 
 
 428 
 
 078753 
 
 10 
 
 51 
 
 9.806709 
 
 252 9.885205 
 
 176 
 
 9.921503! 428 
 
 10.078497 
 
 9 
 
 52 
 
 806860 
 
 252 
 
 885100 
 
 176 
 
 921760 
 
 428 
 
 078240 
 
 8 
 
 53 
 
 807011 
 
 252 
 
 884994 
 
 176 
 
 922017 
 
 428 
 
 077983 
 
 7 
 
 54 
 
 807163 
 
 252 
 
 884889 
 
 176 
 
 922274J 428 
 
 077726 
 
 6 
 
 55 
 
 807314 
 
 252 
 
 884783 
 
 176 
 
 922530 428 
 
 077470 
 
 5 
 
 56 
 
 807465 
 
 251 
 
 884677 
 
 176 
 
 922787 428 
 
 077213 
 
 4 
 
 57 
 
 807615 
 
 251 
 
 884572 
 
 176 
 
 9230441 428 
 
 076956 
 
 3 
 
 58 
 
 807766 
 
 251 
 
 884466 
 
 176 
 
 923300 
 
 428 
 
 076700 
 
 2 
 
 59 
 
 807917 
 
 251 
 
 884360 
 
 176 
 
 923557 
 
 427 
 
 076443 
 
 1 
 
 60 
 
 8080671 251 
 
 884254 
 
 17? 
 
 923813 
 
 427 
 
 076187 
 
 
 
 
 Cosine 
 
 
 Sine 
 
 1 Cotang. 1 
 
 Tang. | M. 
 
 50 Degrees. 
 
58 
 
 (40 Degrees.^ A TABLE OF LOGARITHMIC 
 
 M. S-ne D. Cosine | D. Tang. I). Cotanp. 
 
 
 
 9.808067 
 
 251 
 
 9.884254! 177 
 
 9.923813 427 
 
 10.076187 
 
 60 
 
 1 
 
 808218 
 
 251 
 
 884148 
 
 177 
 
 924070 
 
 427 
 
 075930 
 
 59 
 
 <J 
 
 808368 
 
 251 
 
 884042 
 
 177 
 
 924327 
 
 427 
 
 075673 
 
 58 
 
 3 
 
 808519 
 
 250 
 
 883936 
 
 177 
 
 924583 
 
 427 
 
 075417 
 
 57 
 
 4 
 
 808669 
 
 250 
 
 883829 
 
 177 
 
 924840 
 
 427 
 
 075160 
 
 56 
 
 5 
 
 808819 
 
 250 
 
 883723 
 
 177 
 
 925096 
 
 427 
 
 074904 
 
 55 
 
 6 
 
 808969 
 
 250 
 
 883617 
 
 177 
 
 925352 
 
 427 
 
 074648 
 
 54 
 
 7 
 
 809119 
 
 250 
 
 883510 
 
 177 
 
 925609 
 
 427 
 
 074391 
 
 53 
 
 8 
 
 809269 
 
 250 
 
 883404 
 
 177 
 
 925S65 
 
 427 
 
 074135 
 
 52 
 
 9 
 
 809419 249 
 
 883297 
 
 178 
 
 926122 
 
 427 
 
 073878 
 
 51 
 
 10 
 
 8095691 249 
 
 883191 
 
 178 
 
 926378 
 
 427 
 
 073622 
 
 50 
 
 11 
 
 9.809718 249 
 
 9.883084 
 
 178 
 
 9.926634 
 
 427 
 
 10.073366 
 
 49 
 
 12 
 
 809868 
 
 249 
 
 882977 
 
 178 
 
 9290 
 
 427 
 
 073110 
 
 48 
 
 13 
 
 810017 
 
 249 
 
 882871 
 
 178 
 
 927147 
 
 427 
 
 072853 
 
 47 
 
 14 
 
 . 810167 
 
 249 
 
 882764 
 
 178 
 
 927403 
 
 427 
 
 072597 
 
 46 
 
 15 
 
 810316 
 
 248 
 
 882657 
 
 178 
 
 927659 
 
 427 
 
 072341 
 
 45 
 
 16 
 
 810465 
 
 248 
 
 882550 
 
 178 
 
 927915 
 
 427 
 
 072085 
 
 44 
 
 17 
 
 810614 
 
 248 
 
 882443 
 
 178 
 
 928171 
 
 427 
 
 071829 
 
 43 
 
 18 
 
 810763 
 
 248 
 
 882336 
 
 179 
 
 928427 
 
 427 
 
 071573 
 
 42. 
 
 19 
 
 810912 
 
 248 
 
 882229 
 
 179 
 
 928683 
 
 427 
 
 071317 
 
 41 
 
 20 
 
 8i:06l| 248 
 
 882121 
 
 179 
 
 928940 
 
 427 
 
 071060 
 
 40 
 
 21 
 
 9.8112101 248 
 
 9.882014 
 
 179 
 
 9.929196 
 
 427 
 
 10.070804 
 
 39 
 
 22 
 
 811358! 747 
 
 881907 
 
 179 
 
 929452 
 
 427 
 
 070548 
 
 38 
 
 23 
 
 811507 
 
 247 
 
 881799 
 
 179 
 
 929708 
 
 427 
 
 070292 
 
 37 
 
 24 
 
 811655 
 
 247 
 
 881692 
 
 179 
 
 929964 
 
 426 
 
 070036 
 
 36 
 
 25 
 
 811804 
 
 247 
 
 881584 
 
 179 
 
 930220 
 
 426 
 
 069780 
 
 35 
 
 26 
 
 811952 247 
 
 881477 
 
 179 
 
 930475 
 
 426 
 
 069525 
 
 34 
 
 27 
 
 812100J 247 
 
 881369 
 
 179 
 
 930731 
 
 426 
 
 069269 
 
 33 
 
 28 
 
 812248 247 
 
 881261 
 
 180 
 
 930987 
 
 426 
 
 069013 
 
 32 
 
 29 
 
 812396! 246 
 
 881153 
 
 180 
 
 931243 
 
 426 
 
 068757 
 
 31 
 
 30 
 
 812544! 246 
 
 881046 
 
 180 
 
 931499 
 
 426 
 
 068501 
 
 30 
 
 31 
 
 9.812692 
 
 246 
 
 9.880938 
 
 180 
 
 9.931755 
 
 426 
 
 10.068245 
 
 29 
 
 32 
 
 812840 246 
 
 880830 
 
 180 
 
 932010 
 
 426 
 
 067990 
 
 28 
 
 33 
 
 8129881 246 
 
 880722 
 
 180 
 
 932266 
 
 426 
 
 067734 
 
 27 
 
 34 
 
 813135 246 
 
 880613 
 
 180 
 
 932522 
 
 426 
 
 067478 
 
 26 
 
 35 
 
 8132831 246 
 
 880505 
 
 180 
 
 932778 
 
 426 
 
 067222 
 
 25 
 
 36 
 
 813430! 245 
 
 880397 
 
 180 
 
 933033 
 
 426 
 
 066967 
 
 24 
 
 37 
 
 813578 245 
 
 880289 
 
 181 
 
 933289 
 
 426 
 
 066711 
 
 23 
 
 38 
 
 813725! 245 
 
 880180 
 
 181 
 
 933545 
 
 426 
 
 066455 
 
 22 
 
 39 
 
 813872 245 
 
 880072 
 
 181 
 
 933800 
 
 426 
 
 066200 
 
 21 
 
 40 
 
 8l40l9i 245 
 
 879963 
 
 181 
 
 934056 
 
 426 
 
 065944 
 
 20 
 
 41 
 
 9.814166 245 
 
 9.879855 
 
 181 
 
 9.9J4311 
 
 426 
 
 10.065689 
 
 19 
 
 42 
 
 814313 245 
 
 879746 
 
 i81 
 
 934567 
 
 426 
 
 065433 
 
 18 
 
 43 
 
 814460 
 
 244 
 
 879637 
 
 181 
 
 934823 
 
 426 
 
 065177 
 
 17 
 
 44 
 
 814607) 244 
 
 879529 
 
 181 
 
 935078 
 
 426 
 
 064922 
 
 16 
 
 45 
 
 814753 244 
 
 879420 
 
 181 
 
 935333 
 
 426 
 
 064667 
 
 15 
 
 46 
 
 81 4900 1 244 
 
 879311 
 
 181 
 
 935589 
 
 426 
 
 064411 
 
 14 
 
 47 
 
 815046 244 
 
 879202 
 
 182 
 
 036844 
 
 426 
 
 064156 
 
 13 
 
 48 
 
 815193 244 
 
 879093 
 
 182 
 
 938100 
 
 426 
 
 063900 
 
 12 
 
 49 
 
 815339 244 
 
 878984 
 
 182 
 
 936355 
 
 426 
 
 063645 
 
 11 
 
 50 
 
 815485 243 
 
 878875 
 
 182 
 
 936610 
 
 426 
 
 063390 
 
 10 
 
 51 
 
 9.815631 243 
 
 9.878766 
 
 182 
 
 9.936866 
 
 425 
 
 10.063134 
 
 9 
 
 52 
 
 815778 243 
 
 878656 
 
 182 
 
 937121 
 
 425 
 
 062S79 
 
 8 
 
 53 
 
 815924 243 
 
 878547 182 
 
 937376 
 
 425 
 
 062624 
 
 7 
 
 54 
 
 816069 243 
 
 878438 182 
 
 937632 
 
 425 
 
 062368 
 
 6 
 
 55 
 
 816215 243 
 
 878328 182 
 
 937887 
 
 425 
 
 062113 
 
 5 
 
 56 
 
 816361 
 
 243 
 
 878219! 183 
 
 938142 
 
 425 
 
 061858 
 
 4 
 
 57 
 
 816507 
 
 242 
 
 878109 183 
 
 938398 
 
 425 
 
 061602 
 
 3 
 
 58 816652 
 
 242 
 
 877999; 183 
 
 938653 
 
 425 
 
 061347 
 
 2 
 
 59 
 
 816798 
 
 242 
 
 877890! 183 
 
 938908 
 
 425 
 
 061 092 
 
 1 
 
 60 
 
 8169431 242 877780 183 
 
 939163 
 
 425 
 
 060837 
 
 
 
 1 Cosine 
 
 Sine 1 I Colang. 1 
 
 Tang.' 
 
 M. 
 
 48 Degre 
 
SINES AND 
 
 Degrees.} 
 
 M. 
 
 Sine 
 
 D. 
 
 Cosine | D. | Tarifr. 
 
 D. j Cotang. 
 
 
 
 
 9.816943 
 
 242 
 
 9.877780 
 
 183 
 
 9.939163 
 
 425 
 
 10.060837 
 
 60 
 
 1 
 
 817088 
 
 242 
 
 877670 
 
 183 
 
 939418 
 
 425 
 
 060582 
 
 59 
 
 2 
 
 817233 
 
 242 
 
 877560 
 
 183 
 
 939673 
 
 425 
 
 060327 
 
 58 
 
 3 
 
 817379 
 
 242 
 
 877450 
 
 183 
 
 939928 
 
 425 
 
 060072 
 
 57 
 
 4 
 
 817524 
 
 24] 
 
 877340 
 
 183 
 
 940183 
 
 425 
 
 059817 
 
 56 
 
 5 
 
 817668 
 
 241 
 
 877230 
 
 184 
 
 940438 
 
 425 
 
 059562 
 
 55 
 
 6 
 
 817813 
 
 241 
 
 877120 
 
 184 
 
 940694 
 
 425 
 
 059306 
 
 54 
 
 7 
 
 817958 
 
 241 
 
 877010 
 
 184 
 
 940949 
 
 425 
 
 059051 
 
 53 
 
 8 
 
 818103 
 
 241 
 
 876899 
 
 184 
 
 941204 
 
 425 
 
 058796 
 
 52 
 
 9 
 
 818247 
 
 241 
 
 876789 
 
 184 
 
 941458 
 
 425 
 
 058542 
 
 51 
 
 10 
 
 818392 
 
 241 
 
 876678 
 
 184 
 
 941714 
 
 425 
 
 058286 
 
 50 
 
 11 
 
 9.818536 
 
 240 
 
 9.876568 
 
 184 
 
 9.941968 
 
 425 
 
 10.058032 
 
 49 
 
 12 
 
 818681 
 
 240 
 
 876457 
 
 184 
 
 942223 
 
 425 
 
 057777 
 
 48 
 
 13 
 
 818825 
 
 240 
 
 876347 
 
 1.84 
 
 942478 
 
 425 
 
 057522 
 
 47 
 
 14 
 
 818969 
 
 240 
 
 -876236 
 
 185 
 
 942733 
 
 425 
 
 057267 
 
 46 
 
 15 
 
 819113 
 
 240 
 
 876125 
 
 185 
 
 942988 
 
 425 
 
 057012 
 
 45 
 
 Ifi 
 
 819257 
 
 240 
 
 876014 
 
 185 
 
 943243 
 
 425 
 
 056757 
 
 44 
 
 17 
 
 819401 
 
 240 
 
 875904 
 
 185 
 
 943498 
 
 425 
 
 056502 
 
 43 
 
 18 
 
 819545 
 
 239 
 
 875793 
 
 185 
 
 943752 
 
 425 
 
 056248 
 
 42 
 
 19 
 
 819689 
 
 239 
 
 875682 
 
 185 
 
 944007 
 
 425 
 
 055993 
 
 41 
 
 20 
 
 819832 
 
 239 
 
 875571 
 
 185 
 
 944262 
 
 425 
 
 055738 
 
 40 
 
 21 
 
 0.819976 
 
 239 
 
 9.875459 
 
 185 
 
 9.944517 
 
 425 
 
 10.0554831 39 
 
 22 
 
 820120 
 
 239 
 
 875348 
 
 185 
 
 944771 
 
 424 
 
 055229 38 
 
 23 
 
 820263 
 
 239 
 
 875237 
 
 185 
 
 945026 
 
 424 
 
 054974 1 37 
 
 24 
 
 820406 
 
 239 
 
 875126 
 
 186 
 
 945281 
 
 424 
 
 054719 
 
 36 
 
 25 
 
 820550 
 
 238 
 
 875014 
 
 186 
 
 945535 
 
 424 
 
 054465 
 
 35 
 
 26 
 
 820693 
 
 238 
 
 ' 874903 
 
 186 
 
 945790 
 
 424 
 
 054210 
 
 34 
 
 27 
 
 820836 
 
 238 
 
 874791 
 
 186 
 
 946045 
 
 424 
 
 053955 
 
 33 
 
 28 
 
 820979 
 
 238 
 
 874680 
 
 186 
 
 946299 
 
 424 
 
 053701 
 
 32 
 
 29 
 
 821122 
 
 238 
 
 874568 
 
 186 
 
 946554 
 
 424 
 
 053446 
 
 31 
 
 30 
 
 821265 
 
 238 
 
 874456 
 
 186 
 
 946808 
 
 424 
 
 053192 30 
 
 31 
 
 9.821407 
 
 238 
 
 9.874344 
 
 186 
 
 9.947063 
 
 424 
 
 10.0529371 29 
 
 32 
 
 821550 
 
 238 
 
 874232 
 
 187 
 
 947318 
 
 424 
 
 052682 28 
 
 33 
 
 821693 
 
 237 
 
 874121 
 
 187 
 
 947572 
 
 424 
 
 052428 
 
 27 
 
 34 
 
 821835 
 
 237 
 
 874009 
 
 187 
 
 947826 
 
 424 
 
 052 1 74 
 
 26 
 
 35 
 
 821977 
 
 237 
 
 873896 
 
 187 
 
 948081 
 
 424 
 
 051919 
 
 25 
 
 36 
 
 822120 
 
 237 
 
 8737S4 
 
 187 
 
 948336 
 
 424 
 
 051664 
 
 24 
 
 37 
 
 822262 
 
 237 
 
 873672 
 
 187 
 
 9485% 
 
 424 
 
 051410 
 
 23 
 
 38 
 
 822404 
 
 237 
 
 873560 
 
 187 
 
 948844 
 
 424 
 
 051156 
 
 22 
 
 39 
 
 822546 
 
 237 
 
 873448 
 
 187 
 
 949099 
 
 424 
 
 050901 
 
 21 
 
 40 
 
 822688 
 
 236 
 
 873335 
 
 187 
 
 949353 424 
 
 050647 
 
 20 
 
 41 
 
 9.822830 236 
 
 9.873223 
 
 187 
 
 9 . 949607 
 
 424 
 
 10.050393 
 
 19 
 
 42 
 
 822972 
 
 230 
 
 873110 
 
 188 
 
 949862 
 
 424 
 
 050138 
 
 18 
 
 43 
 
 823114 
 
 236 
 
 872998 
 
 188 
 
 950116 
 
 424 
 
 049884 
 
 17 
 
 44 
 
 823255 
 
 236 
 
 872885 
 
 188 
 
 950370 
 
 424 
 
 049630 
 
 16 
 
 45 
 
 823397 
 
 236 
 
 872772 1 388 
 
 950625 
 
 424 
 
 049375 
 
 15 
 
 46 
 
 823539 
 
 236 
 
 872659 
 
 188 
 
 950879 
 
 424 
 
 049 1 2 1 
 
 14 
 
 47 
 
 823680 
 
 235 
 
 872547 
 
 188 
 
 951133 
 
 424 
 
 048867 
 
 13 
 
 48 
 
 823821 
 
 235 
 
 872434 
 
 188 
 
 951388 
 
 424 
 
 04S612 
 
 12 
 
 49 
 
 823963 
 
 235 
 
 87232 J 
 
 188 
 
 951642 
 
 424 
 
 048358 
 
 11 
 
 50 
 
 824104 
 
 235 
 
 872208 
 
 188 
 
 951896 
 
 424 
 
 048104 
 
 10 
 
 51 
 
 52 
 
 9.8242451 235 
 
 824386 235 
 
 9.872095 
 871981 
 
 189 
 189 
 
 9.952150 
 952405 
 
 424 
 424 
 
 10.047850 
 047595 
 
 9 
 
 8 
 
 53 
 
 824527 
 
 235 
 
 871868 
 
 189 
 
 952659 
 
 424 
 
 047341 
 
 7 
 
 54 
 
 824668 
 
 234 
 
 871755 
 
 189 
 
 952913 
 
 424 
 
 047087 
 
 6 
 
 55 
 
 824808 
 
 234 
 
 871641 
 
 189 
 
 953167 
 
 423 
 
 046833 
 
 5 
 
 56 
 
 824949 234 
 
 871528 
 
 189 
 
 953421 
 
 423 
 
 046579 
 
 4 
 
 57 
 
 825090] 234 
 
 871414 
 
 189 
 
 953675 
 
 423 
 
 046325 
 
 3 
 
 58 
 
 825230 
 
 234 
 
 871301 
 
 189 
 
 953929 
 
 423 
 
 046071 
 
 2 
 
 59 
 
 825371 
 
 234 
 
 871187 
 
 189 
 
 954183 
 
 423 
 
 045817 
 
 1 
 
 60 
 
 825511 
 
 234 
 
 87 i 073 
 
 190 
 
 954437 
 
 423 
 
 045563 
 
 
 
 Cosine 
 
 Sine 1 Totang 1 j Tsxig. 
 
 M. 
 
 Drgrees. 
 
60 
 
 (42 Degrees.) A TABLE or LOGARITHMIC 
 
 . M. | Sine 
 
 D. Cosine | D. Tang. D. Cotang. 
 
 
 
 9.825511 
 
 234 
 
 9.871073 
 
 190 
 
 9.954437 423 
 
 10.045563 
 
 60 
 
 1 
 
 825651 
 
 233 
 
 870960 
 
 190 
 
 954691! 423 
 
 045309 
 
 59 
 
 2 
 
 825791 
 
 233 
 
 870846 
 
 J90 
 
 954945 
 
 423 
 
 045055 
 
 58 
 
 3 
 
 825931 
 
 233 
 
 870732 
 
 190 
 
 955200 
 
 423 
 
 044800 
 
 57 
 
 4 
 
 826071 
 
 233 
 
 870618 
 
 190 
 
 955454 
 
 423 
 
 044546 
 
 56 
 
 5 
 
 826211 
 
 233 
 
 870504 
 
 190 
 
 955707 
 
 423 
 
 044293 
 
 55 
 
 6 
 
 826351 
 
 233 
 
 870390 
 
 190 
 
 955961 
 
 423 
 
 044039 
 
 54 
 
 7 
 
 826491 
 
 233 
 
 870276 
 
 190 
 
 956215 
 
 423 
 
 043785 
 
 53 
 
 8 
 
 826631 
 
 233 
 
 870161 
 
 190 
 
 956469 
 
 423 
 
 043531 
 
 52 
 
 9 
 
 826770 
 
 232 
 
 87004? 
 
 191 
 
 956723 
 
 423 
 
 043277 
 
 51 
 
 10 
 
 826910 
 
 232 
 
 869933 
 
 191 
 
 956977 
 
 423 
 
 043023 
 
 50 
 
 11 
 
 9.827049 
 
 232 
 
 9.869818 
 
 191 
 
 9.957231 
 
 423 
 
 10.042769 
 
 49 
 
 12 
 
 827189 
 
 232 
 
 869704 
 
 191 
 
 957485 
 
 423 
 
 042515 
 
 48 
 
 13 
 
 827328 
 
 232 
 
 869589 
 
 191 
 
 957739 
 
 423 
 
 042261 
 
 47 
 
 14 
 
 827467 
 
 232 
 
 869474 
 
 191 
 
 957993 
 
 423 
 
 042007 
 
 46 
 
 16 
 
 827606 
 
 232 
 
 869360 
 
 191 
 
 958246 
 
 423 
 
 041754 
 
 45 
 
 16 
 
 827745 
 
 232 
 
 869245 
 
 191 
 
 958500 
 
 423 
 
 041500 
 
 44 
 
 17 
 
 827884 
 
 231 
 
 869130 
 
 191 
 
 958754 
 
 423 
 
 041246 
 
 43 
 
 18 
 
 828023 
 
 231 
 
 869015 
 
 192 
 
 959008 
 
 423 
 
 040992 
 
 42 
 
 19 
 
 828162 
 
 231 
 
 868900 
 
 192 
 
 959262 
 
 423 
 
 040738 
 
 41 
 
 20 
 
 828301 
 
 231 
 
 868785 
 
 192 
 
 959516 
 
 423 
 
 040484 
 
 40 
 
 21 
 
 9.828439 
 
 231 
 
 9.868670 
 
 192 
 
 9.959769 
 
 423 
 
 10.040231 
 
 39 
 
 22 
 23 
 
 828578 
 828716 
 
 231 
 231 
 
 868555 
 868440 
 
 192 
 192 
 
 960023 
 960277 
 
 423 
 423 
 
 0399771 38 
 039723 37 
 
 24 
 
 828855 
 
 230 
 
 868324 
 
 192 
 
 9G0531 
 
 423 
 
 039469 
 
 36 
 
 25 
 
 828993 
 
 230 
 
 868209 
 
 192 
 
 960784 
 
 423 
 
 039216 
 
 35 
 
 26 
 
 829131 
 
 230 
 
 868093 
 
 192 
 
 961038 
 
 . 423 
 
 038962 
 
 34 
 
 27 
 
 829269 
 
 230 
 
 867978 
 
 193 
 
 961291 
 
 423 
 
 038709 
 
 33 
 
 28 
 
 829407 
 
 230 
 
 867862 
 
 193 
 
 961545 
 
 423 
 
 038455 
 
 32 
 
 29 
 
 829545 
 
 230 
 
 867747 
 
 193 
 
 961799 
 
 423 
 
 038201 
 
 31 
 
 30 
 
 829683 
 
 230 
 
 867631 
 
 193 
 
 962052 
 
 423 
 
 037948 
 
 30 
 
 31 
 
 9.829821 
 
 229 
 
 9.867515 
 
 193 
 
 9 . 962306 
 
 423 
 
 10.037694 
 
 29 
 
 32 
 
 829959 
 
 229 
 
 867399 
 
 193 
 
 962560 
 
 423 
 
 037440 
 
 28 
 
 33 
 
 830097 
 
 229 
 
 867283 
 
 193 
 
 962813 
 
 423 
 
 037187 
 
 27 
 
 34 
 
 830234 
 
 229 
 
 867167 
 
 193 
 
 963067 
 
 423 
 
 036933 
 
 26 
 
 35 
 
 830372 
 
 229 
 
 867051 
 
 193 
 
 9G3320 
 
 423 
 
 036680 
 
 25 
 
 36 
 
 830509 229 
 
 866935 
 
 194 
 
 963574 
 
 423 
 
 036426 
 
 24 
 
 37 
 
 830646 
 
 229 
 
 866819 
 
 194 
 
 963827 
 
 423 
 
 036173 
 
 23 
 
 38 
 
 830784 
 
 229 
 
 866703 
 
 194 
 
 9(54081 
 
 423 
 
 035919 
 
 22 
 
 39 
 
 830921 
 
 228 
 
 866586! 194 
 
 964335 
 
 423 
 
 035665 
 
 21 
 
 40 
 
 831058 
 
 228 
 
 866470 
 
 194 
 
 954588 
 
 422 
 
 035412 
 
 20 
 
 41 
 
 9.831135 
 
 228 
 
 9.866353 
 
 194 
 
 9.964842 
 
 422 
 
 10.035158 
 
 19 
 
 42 
 
 831332 
 
 228 
 
 866237 
 
 194 
 
 965095 
 
 422 
 
 034905 
 
 18 
 
 43 
 
 831469 
 
 228 
 
 866120 
 
 194 
 
 965349 
 
 422 
 
 034651 
 
 17 
 
 44 
 
 831606 
 
 228 
 
 866004 
 
 195 
 
 965602 
 
 422 
 
 034398 
 
 16 
 
 45 
 
 831742 
 
 228 
 
 8G58S7 
 
 195 
 
 965855 
 
 422 
 
 034145 
 
 15 
 
 46 
 
 831879 
 
 228 
 
 805770 
 
 195 
 
 966109 
 
 422 
 
 033891 
 
 14 
 
 47 
 
 832015 
 
 227 
 
 865653 
 
 195 
 
 966362 
 
 422 
 
 033638 
 
 13 
 
 46 
 
 832152 
 
 227 
 
 865536 
 
 195 
 
 966616 
 
 422 
 
 033384 
 
 12 
 
 49 
 
 832288 
 
 227 
 
 865419 
 
 195 
 
 966869 
 
 422 
 
 033131 
 
 11 
 
 50 
 
 832425 
 
 227 
 
 865302 | 195 
 
 967123 
 
 422 
 
 032877 
 
 10 
 
 51 
 
 9.832561 
 
 227 
 
 9.8651851 195 
 
 9.967376 
 
 422 
 
 10.032624 
 
 9 
 
 52 
 
 832697 
 
 227 
 
 865068 
 
 195 
 
 967629 
 
 422 
 
 032371 
 
 8 
 
 53 
 
 832833 
 
 227 
 
 864950 
 
 195 
 
 967883 
 
 422 
 
 032117 
 
 7 
 
 54 
 
 832969 
 
 226 
 
 864833 
 
 196 
 
 968136 
 
 422 
 
 031864 
 
 6 
 
 55 
 
 833105 
 
 226 
 
 864716 
 
 196 
 
 968389 
 
 422 
 
 031611 
 
 5 
 
 56 
 
 833241 
 
 226 
 
 864598 196 
 
 968643 
 
 422 
 
 031357 
 
 4 
 
 57 
 
 833377 
 
 226 
 
 864481 
 
 196 
 
 968896 
 
 422 
 
 031104 
 
 3 
 
 58 
 
 833512 
 
 226 
 
 864363 
 
 196 
 
 969149 
 
 422 
 
 030851 
 
 2 
 
 59 
 
 833648 
 
 226 
 
 864245 
 
 196 
 
 969403 
 
 422 
 
 030597 
 
 1 
 
 60 
 
 833783 
 
 220 
 
 864127 
 
 196 
 
 069656 
 
 422 
 
 030344 
 
 
 
 j Cw hie 1 
 
 Sim- | C ',:,:,,. | 
 
 Taug. M. 
 
SINES AND TANGENTS. (43 Degrees.) 
 
 61 
 
 M. | Sine | D. Cosine D. | Tan C . D. Cotang. | 
 
 
 
 9.833783 
 
 226 
 
 9.864127 
 
 196 
 
 9.969656 
 
 422 
 
 10.030344)60 
 
 1 
 
 833919 
 
 225 
 
 864010 
 
 196 
 
 969909 
 
 422 
 
 030091 59 
 
 2 
 
 834054 
 
 225 
 
 883892 
 
 197 
 
 970162 
 
 422 
 
 029838! 58 
 
 3 
 
 834189 
 
 225 
 
 863774 
 
 197 
 
 970416 
 
 422 
 
 029584 
 
 57 
 
 4 
 
 834325 
 
 225 
 
 863656 
 
 197 
 
 970669 
 
 422 
 
 029331 
 
 56 
 
 5 
 
 834460 
 
 225 
 
 863538 
 
 197 
 
 970922 
 
 422 
 
 029078 
 
 55 
 
 6 
 
 834595 
 
 225 
 
 863419 
 
 197 
 
 971175 
 
 422 
 
 028825 
 
 54 
 
 7 
 
 834730 
 
 225 
 
 863301 
 
 197 
 
 971429 
 
 422 
 
 028571 
 
 53 
 
 8 
 
 834S65 
 
 225 
 
 863183 
 
 197 
 
 971682 
 
 422 
 
 028318 
 
 52 
 
 9 
 
 834999 
 
 224 
 
 863064 
 
 197 
 
 971935 
 
 422 
 
 028065 
 
 51 
 
 10 
 
 835134 
 
 224 
 
 862946 
 
 198 
 
 972188 
 
 422 
 
 027812 
 
 50 
 
 11 
 
 9.835269 
 
 224 
 
 9.862827 
 
 198 
 
 9.972441 
 
 422 
 
 10.027559 
 
 49 
 
 12 
 
 835403 
 
 224 
 
 862709 
 
 198 
 
 972694 
 
 422 
 
 027306 
 
 48 
 
 13 
 
 835538 
 
 224 
 
 862590 
 
 198 
 
 972948 
 
 422 
 
 027052 
 
 47 
 
 14 
 
 835672 
 
 224 
 
 86247 i 
 
 19H 
 
 973201 
 
 422 
 
 026799 
 
 46 
 
 15 
 
 835807 
 
 224 
 
 862353 
 
 198 
 
 973454 
 
 422 
 
 026546 
 
 45 
 
 16 
 
 835941 
 
 224 
 
 862234 
 
 198 
 
 973707 
 
 422 
 
 026293 
 
 44 
 
 17 
 
 836075 
 
 223 
 
 862115 
 
 198 
 
 973960 
 
 422 
 
 026040 
 
 43 
 
 18 
 
 836209 
 
 223 
 
 861996 
 
 198 
 
 974213 
 
 422 
 
 025787 
 
 42 
 
 19 
 
 836343 
 
 223 
 
 861877 
 
 198 
 
 974466 
 
 422 
 
 025534 
 
 41 
 
 20 
 
 836477 
 
 223 
 
 861758 
 
 199 
 
 974719 
 
 422 
 
 025281 
 
 40 
 
 21 
 
 9.836611 
 
 223 
 
 9.861638 
 
 199 
 
 9.974973 
 
 422 
 
 10.025027 
 
 39 
 
 22 
 
 836745 
 
 223 
 
 861519 
 
 199 
 
 975226 
 
 422 
 
 024774 
 
 38 
 
 23 
 
 836878 
 
 223 
 
 861400 
 
 199 
 
 975479 
 
 422 
 
 024521 
 
 37 
 
 24 
 
 8370 1 2 
 
 222 
 
 61280 
 
 199 
 
 975732 
 
 422 
 
 024268 
 
 36 
 
 25 
 
 837 i46 
 
 222 
 
 861161 
 
 199 
 
 975985 
 
 422 
 
 024015 
 
 35 
 
 26 
 
 837279 
 
 222 
 
 861041 
 
 199 
 
 976238 
 
 422 
 
 023762 
 
 34 
 
 27 
 
 837412 
 
 222 
 
 860922 
 
 199 
 
 976491 
 
 422 
 
 023509 
 
 33 
 
 28 
 
 837546 
 
 222 
 
 860802 
 
 199 
 
 976744 
 
 422 
 
 023256 
 
 32 
 
 29 
 
 837679 
 
 222 
 
 860682 
 
 200 
 
 976997 
 
 422 
 
 023003 
 
 31 
 
 30 
 
 837812' 
 
 222 
 
 860562 
 
 200 
 
 977250 
 
 422 
 
 022750 
 
 30 
 
 31 
 
 9.837945 
 
 222 
 
 9.860442 
 
 200 
 
 9.977503 
 
 422 
 
 10.022497 
 
 29 
 
 32 
 
 838078 
 
 221 
 
 860322 
 
 200 
 
 977756 
 
 422 
 
 022244 
 
 28 
 
 33 
 
 838211 
 
 221 
 
 860202 
 
 200 
 
 978009 
 
 422 
 
 021991 
 
 27 
 
 34 
 
 838344 
 
 221 
 
 860082 
 
 200 
 
 978262 
 
 422 
 
 021738 
 
 26 
 
 35 
 
 838477 
 
 221 
 
 859962 
 
 200 
 
 978515 
 
 422 
 
 021485 
 
 25 
 
 36 
 
 838610 
 
 221 
 
 859842 
 
 200 
 
 978768 
 
 422 
 
 021232 
 
 24 
 
 37 
 
 838742 
 
 221 
 
 859721 
 
 201 
 
 97902 1 
 
 422 
 
 020979 
 
 23 
 
 3ft 
 
 838875 
 
 221 
 
 859601 
 
 201 
 
 979274 
 
 422 
 
 020726 
 
 22 
 
 39 
 
 839007 
 
 221 
 
 859480 
 
 201 
 
 979527 
 
 422 
 
 020473 
 
 21 
 
 40 
 
 839140 
 
 220 
 
 859360 
 
 201 
 
 979780 
 
 422 
 
 020220 
 
 20 
 
 41 
 
 9.839272 
 
 220 
 
 9.859239 
 
 201 
 
 9.980033 
 
 422 
 
 10.019967 
 
 19 
 
 42 
 
 839404 
 
 220 
 
 859119 
 
 201 
 
 980286 
 
 422 
 
 019714 
 
 18 
 
 43 
 
 839536 
 
 220 
 
 85S998 
 
 201 
 
 980538 
 
 422 
 
 019462 
 
 17 
 
 44 
 
 839668 
 
 220 
 
 858877 
 
 201 
 
 980791 
 
 421 
 
 019209 
 
 16 
 
 45 
 
 839800 
 
 220 
 
 858756 
 
 202 
 
 981044 
 
 421 
 
 018956 
 
 15 
 
 46 
 
 839932 
 
 920 
 
 858635 
 
 202 
 
 981297 
 
 421 
 
 018703 
 
 14 
 
 47 
 
 840064 
 
 219 
 
 858514 
 
 202 
 
 981550 
 
 421 
 
 018450 
 
 13 
 
 48 
 
 840196 
 
 219 
 
 858393 
 
 202 
 
 981803 
 
 421 
 
 018197 
 
 12 
 
 49 
 
 840328 
 
 219 
 
 858272 
 
 202 
 
 982056 
 
 421 
 
 017944 
 
 11 
 
 50 
 
 840459 
 
 219 
 
 858151 
 
 202 
 
 982309 
 
 421 
 
 017691 
 
 10 
 
 51 
 
 9.840591 
 
 219 
 
 9.858029 
 
 202 
 
 9.982562 
 
 421 
 
 10.017438 
 
 9 
 
 52 
 
 840722 
 
 219 
 
 857908 
 
 202 
 
 982814 
 
 421 
 
 017186 
 
 8 
 
 53 
 
 840854 
 
 219 
 
 857786 
 
 202 
 
 983067 
 
 421 
 
 016933 
 
 7 
 
 54 
 
 840985 
 
 219 
 
 857665 
 
 203 
 
 983320 
 
 421 
 
 016680 
 
 6 
 
 55 
 
 841116 
 
 218 
 
 857543 
 
 203 
 
 983573 
 
 421 
 
 016427 
 
 5 
 
 56 
 
 841247 
 
 218 
 
 857422 
 
 203 
 
 983826 
 
 421 
 
 016174 
 
 4 
 
 57 
 
 841378 
 
 218 
 
 857300 
 
 203 
 
 984079 
 
 421 
 
 015921 
 
 3 
 
 58 
 
 84 1 509 
 
 . 218 
 
 857178 
 
 203 
 
 9^4331 
 
 421 
 
 015669 
 
 2 
 
 59 
 
 841640 
 
 218 
 
 857056 
 
 203 
 
 984584 
 
 421 
 
 015416 
 
 1 
 
 60 
 
 841771 
 
 218 
 
 856934 
 
 ?f)3 
 
 984837 
 
 421 
 
 015163 
 
 Cwiitfl 
 
 Sine 1 
 
 Cntanjr j 
 
 Tang. 
 
 M. 
 
 46 Degrees. 
 
62 
 
 (44 Degrees.) A TABLE OF LOGARITHMIC 
 
 M. Sine | D. . j Cosine j D. | Tang. D. | Cotang. | 
 
 
 
 9.841771 
 
 218 
 
 9 . 856934 
 
 203 
 
 9.984837 
 
 421 
 
 10.015163 
 
 60 
 
 1 
 
 841902 
 
 218 
 
 856812 
 
 203 
 
 985090 
 
 421 
 
 014910 
 
 59 
 
 2 
 
 842033 
 
 218 
 
 856690 
 
 204 
 
 985343 
 
 421 
 
 014657 
 
 58 
 
 3 
 
 842163 
 
 217 
 
 856568 
 
 204 
 
 985696 
 
 421 
 
 014404 
 
 57 
 
 4 
 
 842294 
 
 217 
 
 856446 
 
 204 
 
 985848 
 
 421 
 
 014152 
 
 56 
 
 5 
 
 842424 
 
 217 
 
 856323 
 
 204 
 
 986101 
 
 421 
 
 013899 
 
 55 
 
 6 
 
 842555 
 
 217 
 
 858201 
 
 204 
 
 986354 
 
 421 
 
 013646 
 
 54 
 
 7 
 
 842685 
 
 217 
 
 856078 
 
 204 
 
 986607 
 
 421 
 
 013393 
 
 53 
 
 8 
 
 842815 
 
 217 
 
 855956 
 
 204 
 
 986360 
 
 421 
 
 013140 
 
 52 
 
 9 
 
 842946 
 
 217 1 855833 
 
 204 
 
 987112 
 
 421 012888 
 
 51 
 
 10 
 
 843076 
 
 217 | 855711 
 
 205 
 
 987365 
 
 421 
 
 012635 
 
 50 
 
 11 
 
 9.843206 
 
 216 
 
 9.855588 
 
 205 
 
 9.987618 
 
 421 
 
 10.012382 
 
 49 
 
 12 
 
 843336 
 
 216 
 
 855465 
 
 205 
 
 987871 
 
 421 
 
 012129 
 
 48 
 
 13 
 
 8.43466 
 
 216 
 
 855342 
 
 205 
 
 988123 
 
 421 
 
 011877 
 
 47 
 
 14 
 
 843595 
 
 216 
 
 855219 
 
 205 
 
 988376 
 
 421 
 
 011624 
 
 46 
 
 15 
 
 843725 
 
 216 
 
 855096 
 
 205 
 
 988629 
 
 421 
 
 011371 
 
 45 
 
 16 
 
 843855 
 
 216 
 
 854973 
 
 205 
 
 988882 
 
 421 
 
 011118 
 
 44 
 
 17 
 
 843984 
 
 216 
 
 854850 
 
 205 
 
 989134 
 
 421 
 
 010866 
 
 43 
 
 18 
 
 844114 
 
 215 
 
 854727 
 
 206 
 
 989387 
 
 421 
 
 010613 
 
 42 
 
 19 
 
 844243 
 
 215 
 
 854603 
 
 206 
 
 989640 
 
 421 
 
 010360 
 
 41 
 
 20 
 
 844372 
 
 215 
 
 854-180 
 
 206 
 
 989893 
 
 421 
 
 010107 
 
 40 
 
 21 
 
 9.844502 
 
 215 
 
 9.854356 
 
 206 
 
 9.990145 
 
 421 
 
 10.009855 
 
 39 
 
 22 
 
 844631 
 
 215 
 
 854233 
 
 206 
 
 990398 
 
 421 
 
 009602 
 
 38 
 
 23 
 
 844760 
 
 215 
 
 854109 
 
 206 
 
 990651 
 
 421 
 
 009349 
 
 37 
 
 24 
 
 844889 
 
 215 
 
 853986 
 
 206 
 
 990903 
 
 421 
 
 009097 
 
 36 
 
 25 
 
 845018 
 
 215 
 
 853862 
 
 206 
 
 991156 
 
 421 
 
 008844 
 
 35 
 
 26 
 
 845147 
 
 215 
 
 853738 
 
 206 
 
 991409 
 
 421 
 
 008591 
 
 34 
 
 27 
 
 845276 
 
 214 
 
 853614 
 
 207 
 
 991662 
 
 421 
 
 008338 
 
 33 
 
 28 
 
 845405 
 
 214 
 
 853490 
 
 207 
 
 991914 
 
 421 
 
 008086 
 
 32 
 
 29 
 
 845533 
 
 214 
 
 853366 
 
 207 
 
 992167 
 
 421 
 
 007833 
 
 31 
 
 30 
 
 845662 
 
 214 
 
 853242 
 
 207 
 
 992420 
 
 421 
 
 0075SO 
 
 30 
 
 31 
 
 9.845790 
 
 214 
 
 9.853118 
 
 207 
 
 9.992672 
 
 421 
 
 10.007338 
 
 29 
 
 32 
 
 845919 
 
 214 
 
 852994 
 
 207 
 
 992925 
 
 421 
 
 00*075 
 
 28 
 
 33 
 
 846047 
 
 214 
 
 852869 
 
 207 
 
 993178 
 
 421 
 
 006823 
 
 27 
 
 34 
 
 846175 
 
 214 
 
 852745 
 
 207 
 
 993430 
 
 421 
 
 006570 
 
 26 
 
 35 
 
 846304 
 
 214 
 
 852620 
 
 207 
 
 993683 
 
 421 
 
 006317 
 
 25 
 
 36 
 
 846432 
 
 213 
 
 852496 
 
 208 
 
 993936 
 
 421 
 
 006064 
 
 24 
 
 37 
 
 846560 
 
 213 
 
 852371 
 
 208 
 
 994189 
 
 421 
 
 005811 
 
 23 
 
 38 
 
 846688 
 
 213 
 
 852247 
 
 20S 
 
 994441 
 
 42 i 
 
 005559 
 
 22 
 
 39 
 
 840816 
 
 213 
 
 852122 
 
 208 
 
 994694 
 
 421 
 
 005306 
 
 21 
 
 40 
 
 846944 
 
 213 
 
 851997 
 
 208 
 
 994947 
 
 421 
 
 005053 
 
 20 
 
 41 
 
 9.847071 
 
 213 
 
 9.851872 
 
 208 
 
 9.995199 
 
 421 
 
 10.004801 
 
 19 
 
 42 
 
 847199 
 
 213 
 
 851747 
 
 208 
 
 995452 
 
 421 
 
 004548 
 
 18 
 
 43 
 
 847327 
 
 213 
 
 851622 
 
 208 
 
 995705 
 
 421 
 
 004295 
 
 17 
 
 44 
 
 847454 
 
 212 
 
 851497 
 
 209 
 
 995957 
 
 421 
 
 004043 
 
 16 
 
 45 
 
 847582 
 
 212 
 
 851372 
 
 209 
 
 996210 
 
 421 
 
 003790 
 
 15 
 
 46 
 
 847709 
 
 212 
 
 851246 
 
 209 
 
 996463 
 
 421 
 
 003537 
 
 14 
 
 47 
 
 847836 
 
 212 
 
 851121 
 
 209 
 
 996715 
 
 421 
 
 003285 
 
 13 
 
 48 
 
 847964 
 
 212 
 
 850996 
 
 209 
 
 996968 
 
 421 
 
 003032 
 
 12 
 
 49 
 
 848091 
 
 212 
 
 850870 
 
 209 
 
 997221 
 
 421 
 
 002779 
 
 11 
 
 50 
 
 848218 
 
 212 
 
 850745 
 
 209 
 
 997473 
 
 421 
 
 002527 
 
 10 
 
 51 
 
 9.848345 
 
 212 
 
 9.850619 
 
 209 
 
 9.997726 
 
 421 
 
 10.002274 
 
 9 
 
 52 
 
 848472 
 
 211 
 
 850493 
 
 210 
 
 997979 
 
 421 
 
 002021 
 
 8 
 
 53 
 
 848599 
 
 211 
 
 850368 
 
 210 
 
 998231 
 
 421 
 
 001769 
 
 7 
 
 64 
 
 848726 
 
 211 
 
 850242 
 
 210 
 
 998484 
 
 421 
 
 001516 
 
 6 
 
 55 
 
 848852 
 
 211 
 
 850116 
 
 210 
 
 998737 421 
 
 001263 
 
 5 
 
 56 
 
 848979 
 
 211 
 
 849990 
 
 210 
 
 998989 421 
 
 001011 
 
 4 
 
 57 
 
 849106 
 
 211 
 
 849864 
 
 210 
 
 999242 421 
 
 000758 
 
 3 
 
 58 
 
 843232 
 
 211 
 
 849738 
 
 210 
 
 999495 
 
 421 
 
 000505 
 
 2 
 
 59 
 
 8493591 211 
 
 849611 
 
 210 
 
 999748 
 
 421 
 
 000253 
 
 1 
 
 00 
 
 819485 211 
 
 849435 
 
 210 
 
 10.000000 
 
 421 
 
 000000 
 
 Cosine 
 
 Sine | Coi-ansf. | Taritf. M. 
 
 45 Dogj-eea. 
 
A TRAVERSE TABLE, 
 
 SHOWING THE DIFFERENCE OF 
 
 LATITUDE AND DEPARTURE 
 
 FOR DISTANCES BETWEEN 1 AND 100, AND FOR ANGLES 
 TO QUARTER DEGREES BETWEEN 1 AND 90. 
 
TRAVERSE TABLE. 
 
 s 
 
 iDeg. 
 
 iDeg. 
 
 JDeg. 
 
 
 6T 
 
 p 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 
 
 1 
 
 1.00 
 
 0.00 
 
 1.00 
 
 0.01 
 
 1.00 
 
 0.01 
 
 i 
 
 2 
 
 2.00 
 
 0.01 
 
 2.00 
 
 0.02 
 
 2.00 
 
 0.03 
 
 2 
 
 3 
 
 3.00. 
 
 0.01 
 
 3.00 
 
 0.03 
 
 3.00 
 
 0.04 
 
 3 
 
 4 
 
 4.00 1 
 
 0.02 
 
 4.00 
 
 0.03 
 
 4.00 
 
 0.05 
 
 4 
 
 5 
 
 5.00 
 
 0.02 
 
 5.00 
 
 0.04 
 
 5.00 
 
 0.07 
 
 5 
 
 6 
 
 6.00 
 
 0.03 
 
 6.00 
 
 0.05 
 
 6.00 
 
 0.08 
 
 6 
 
 7 
 
 7.00 
 
 0.03 
 
 7.00 
 
 0.06 
 
 7.00 
 
 0.09 
 
 7 
 
 8 
 
 8.00 
 
 0.03 
 
 8.00 
 
 0.07 
 
 8.00 
 
 0.10 
 
 8 
 
 9 
 
 9.00 
 
 0.04 
 
 9.00 
 
 0.08 
 
 9.00 
 
 0.12 
 
 9 
 
 10 
 
 10.00 
 
 0.04 
 
 10.00 
 
 0.09 
 
 10.00 
 
 0.13 
 
 10 
 
 11 
 
 11.00 
 
 0.05 
 
 li.OO 
 
 0.10 
 
 11.00 
 
 0.14 
 
 M 
 
 12 
 
 12.00 
 
 0.05 
 
 12.00 
 
 0.10 
 
 12.00 
 
 0.16 
 
 12 
 
 13 
 
 13.00 
 
 0.06 
 
 13.00 
 
 0.11 
 
 13.00 
 
 0.17 
 
 13 
 
 14 
 
 14.00 
 
 0.06 
 
 14.00 
 
 0.12 
 
 14.00 
 
 0.18 
 
 14 
 
 15 
 
 15.00 
 
 0.07 
 
 15.00 
 
 0.13 
 
 15.00 
 
 0.20 
 
 15 
 
 16 
 
 16.00 
 
 0.07 1 
 
 16.00 
 
 0.14 
 
 16.00 
 
 0.21 
 
 16 
 
 17 
 
 17.00 
 
 0.07 
 
 17.00 
 
 0.15 
 
 17.00 
 
 0.22 
 
 17 
 
 18 
 
 18.00 
 
 0.08 
 
 18.00 
 
 0.16 
 
 18.00 
 
 0.24 
 
 18 
 
 19 
 
 19.00 
 
 0.08 
 
 19.00 
 
 0.17 
 
 19.00 
 
 0.25 
 
 19 
 
 20 
 
 20.00 
 
 0.09 
 
 20.00 
 
 0.17 
 
 20.00 
 
 0.26 
 
 20 
 
 21 
 
 21.00 
 
 0.09 
 
 21.00 
 
 0.18 
 
 21.00 
 
 0.27 
 
 . 21 
 
 22 
 
 22.00 
 
 0.10 
 
 22.00 
 
 0.19 
 
 22.00 
 
 0.29 
 
 22 
 
 23 
 
 23.00 
 
 0.10 
 
 23.00 
 
 - .SO 
 
 23.00 
 
 0.30 
 
 23 
 
 24 
 
 24.00 
 
 0.10 
 
 24.00 
 
 0.21 
 
 24.00 
 
 0.31 
 
 24 
 
 25 
 
 25.00 
 
 0.11 
 
 25.00 
 
 0.22 
 
 25.00 
 
 0.33 
 
 25 
 
 26 
 
 26.00 
 
 0.11 
 
 26.00 
 
 0.23 
 
 26.00 
 
 0.34 
 
 26 
 
 27 
 
 27.00 
 
 0.12 
 
 27.00 
 
 0.24 
 
 27.00 
 
 0.35 
 
 27 
 
 28 
 
 28.00 
 
 0.12 
 
 28.00 
 
 0.24 
 
 28.00 
 
 0.37 
 
 28 
 
 29 
 
 29.00 
 
 0.13 
 
 29.00 
 
 0.25 
 
 29.00 
 
 0.38 
 
 29 
 
 30 
 
 30.00 
 
 0.13 
 
 30.00 
 
 0.26 
 
 30.00 
 
 0.39 
 
 30 
 
 31 
 
 31.00 
 
 0.14 
 
 31.00 
 
 0.27 
 
 31.00 
 
 0.41 
 
 31 
 
 32 
 
 32.00 
 
 0.14 
 
 32.00 
 
 0.28 
 
 32.00 
 
 0.42 
 
 32 
 
 33 
 
 33.00 
 
 0.14 
 
 33.00 
 
 0-29 
 
 33.00 
 
 0.43 
 
 33 
 
 34 
 
 34.00 
 
 0.15 
 
 34.00 
 
 0.30 
 
 34.00 
 
 0.45 
 
 34 
 
 35 
 
 35.00 
 
 0.15 
 
 35.00 
 
 0.31 
 
 35.00 
 
 0.46 
 
 35 
 
 36 
 
 36.00 
 
 0.16 
 
 36.00 
 
 0.31 
 
 36.00 
 
 0.47 
 
 36 
 
 37 
 
 37.00 
 
 0.16 
 
 37.00 
 
 0.32 
 
 37.00 
 
 0.48 
 
 37 
 
 38 
 
 38 .00 
 
 0.17 
 
 38.00 
 
 0.33 
 
 38.00 
 
 0.50 
 
 38 
 
 39 
 
 39.00 
 
 0.17 
 
 39.00 
 
 0.34 li 39.00 
 
 0.51 
 
 39 
 
 40 
 
 40.00 
 
 0.17 
 
 40.00 
 
 0.35 
 
 40.00 
 
 0.52 
 
 40 
 
 41 
 
 41.00 
 
 0.18 
 
 41.00 
 
 0.36 
 
 41.00 
 
 0.54 
 
 41 
 
 42 
 
 42.00 
 
 0.18 
 
 42.00 
 
 0.37 
 
 4.2.00 
 
 0.55 
 
 42 
 
 43 
 
 43.00 
 
 0.19 
 
 43.00 
 
 0.38 
 
 43.00 
 
 0.56 
 
 43 
 
 44 
 
 44.00 
 
 0.19 
 
 44.00 
 
 0.38 l| 44.00 
 
 0.58 
 
 44 
 
 45 
 
 45.00 
 
 0.20 
 
 45.00 
 
 0.39 
 
 45.00 
 
 0.59 
 
 45 
 
 46 
 
 46.00 
 
 0.20 
 
 46.00 
 
 0.40 
 
 46.00 
 
 0.60 
 
 46 
 
 47 
 
 47.00 
 
 0.21 
 
 47.00 
 
 0.41 || 47.00 
 
 0.62 
 
 47 
 
 48 
 
 48.00 
 
 0.21 
 
 48.00 
 
 0.42 il 48.00 
 
 . 0.63 
 
 48 
 
 49 
 
 49.00 
 
 0.21 
 
 49.00 
 
 0.43 
 
 49.00 
 
 0.64 
 
 49 
 
 60 
 
 50.00 
 
 0.22 
 
 50.00 
 
 0.44 
 
 50.00 
 
 0.65 
 
 50 
 
 i 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 j 
 
 5 
 
 89| Deg. 
 
 891 Deg. 
 
 1 89i Deg. 
 
 P 
 
TKAVEESE TABLE. 
 
 3 
 
 it 
 
 >eg. 
 
 1 
 
 Deg. 
 
 II 
 
 mmi^^i^mmmmm 
 
 )eg. 
 
 i 
 
 P 
 
 
 
 
 
 
 
 P 
 
 3 
 
 8 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 i 
 
 51 
 
 51.00 
 
 0.22 
 
 51.00 
 
 0.45 
 
 51.00 
 
 0.67 
 
 51 
 
 52 
 
 52.00 
 
 0.23 
 
 52.00 
 
 0.45 
 
 52.00 
 
 0.68 
 
 52 
 
 53 
 
 53.00 
 
 0.23 
 
 53.00 
 
 0.46 
 
 53.00 
 
 0.60 
 
 53 
 
 54 
 
 54.00 
 
 0.24 
 
 54.00 
 
 0.47 
 
 54.00 
 
 0.71 
 
 54 
 
 55 
 
 55.00 
 
 0.24 
 
 55.00 
 
 0.48 
 
 55.00 
 
 0.72 
 
 55 
 
 56 
 
 56.00 
 
 0.24 
 
 56.00 
 
 0.49 
 
 56.00 
 
 0.73 
 
 56 
 
 57 
 
 57.00 
 
 0.25 
 
 57.00 
 
 0.50 
 
 57.00 
 
 0.75 
 
 57 
 
 58 
 
 58.00 
 
 0.25 
 
 58.00 
 
 0.51 
 
 57.99 
 
 0.76 
 
 58 
 
 59 
 
 59.00 
 
 0.26 
 
 59.00 
 
 0.51 
 
 58.99 
 
 0.77 
 
 59 
 
 60 
 
 60.00 
 
 0.26 
 
 60.00 
 
 0.52 
 
 59.99 
 
 0.79 
 
 60 
 
 61 
 
 61.00 
 
 0.27 
 
 61.00 
 
 0.53 
 
 60.99 
 
 0.80 
 
 H 
 
 62 
 
 62.00 
 
 0.27 
 
 62.00 
 
 0.54 
 
 61.99 
 
 0.81 
 
 62 
 
 63 
 
 63.00 
 
 0.27 
 
 63.00 
 
 0.55 
 
 62.99 
 
 0.82 
 
 63 
 
 64 
 
 64.00 
 
 0.28 
 
 64.00 
 
 0.56 
 
 63.99 
 
 0.84 
 
 64' 
 
 65 
 
 65.00 
 
 0.28 
 
 65.00 
 
 0.57 
 
 64.99 
 
 0.85 
 
 65 
 
 66 
 
 " 66.00 
 
 0.29 
 
 66.00 
 
 0.58 
 
 65.99 
 
 0.86 
 
 6*6 
 
 67 
 
 67.00 
 
 0.29 
 
 67.00 
 
 0.58 
 
 66.99 
 
 0.88 
 
 67 
 
 68 
 
 68.00 
 
 0.30 
 
 68.00 
 
 0.59 
 
 67.99 
 
 0.89 
 
 68 
 
 69 
 
 69.00 
 
 0.30 
 
 69.00 
 
 0.60 
 
 68.99 
 
 0.90 
 
 69 
 
 70 
 
 70.00 
 
 0.31 
 
 70.00 
 
 0.61 
 
 69.99 
 
 0.92 
 
 70 
 
 71 
 
 71.00 
 
 0.31 
 
 71.00 
 
 0.62 
 
 70.99 
 
 .0.93 
 
 71 
 
 72 
 
 72.00 
 
 0.31 
 
 72.00 
 
 0.63 
 
 71.99 
 
 0.94 
 
 72 
 
 73 
 
 73.00 
 
 0.32 
 
 73.00 
 
 0.64 
 
 72.99 
 
 0.96 
 
 73 
 
 74 
 
 74.00 
 
 0.32 
 
 74.00 
 
 0.65 
 
 73.99 
 
 0.97 
 
 74 
 
 75 
 
 75.00 
 
 0.33 
 
 75.00 
 
 0.65 
 
 74.99 
 
 0.98 
 
 75 
 
 76 
 
 76.00 
 
 0.33 
 
 76.00 
 
 0.66 
 
 75.99 
 
 0.99 
 
 76 
 
 77. 
 
 77.00 
 
 0.34 
 
 77.00 
 
 0.67 
 
 76.99 
 
 .01 
 
 77 
 
 78 
 
 78.00 
 
 0.34 
 
 78.00 
 
 0.68 
 
 77.99 
 
 .02 
 
 78 
 
 79 
 
 79.00 
 
 0.34 
 
 79.00 
 
 0.69 
 
 78.99 
 
 .03 
 
 79 
 
 80 
 
 80.00 
 
 0.35 
 
 80.00 
 
 0.70 
 
 79.99 
 
 .05 
 
 80 
 
 81 
 
 81.00 
 
 0.35 
 
 81.00 
 
 0.71 
 
 80.99 
 
 .06 
 
 81 
 
 82 
 
 82.00 
 
 0.36 
 
 82.00 
 
 0.72 
 
 81.99 
 
 .07 
 
 82 
 
 83 
 
 83.00 
 
 0.36 
 
 83.00 
 
 0.72 
 
 82.99 
 
 .09 
 
 83 
 
 84 
 
 84.00 
 
 0.37 
 
 84.00 
 
 0.73 
 
 83.99 
 
 .10 
 
 84 
 
 85 
 
 85:00 
 
 0.37 
 
 85.00 
 
 0.74 1 
 
 84.99 
 
 .11 
 
 85 
 
 86 
 
 86.00 
 
 0.38 
 
 86.00 
 
 0.75 
 
 85.99 
 
 .13 
 
 86 
 
 87 
 
 87.00 
 
 0.38 
 
 87.00 
 
 0.76 
 
 86.99 
 
 .14 
 
 87 
 
 88 
 
 88.00 
 
 0.38 
 
 88.00 
 
 0.77 
 
 87.99 
 
 .15 
 
 88 
 
 89 
 
 89 . 00 
 
 0.39 
 
 89.00 
 
 0.78 
 
 88.99 
 
 .16 
 
 89 
 
 90 
 
 90.00 
 
 0.39 
 
 90.00 
 
 0.79 
 
 89.99 
 
 .18 
 
 90 
 
 91 
 
 91.00 
 
 0.40 
 
 91.00 
 
 0.79 
 
 90.99 
 
 .19 
 
 91 
 
 92 
 
 92.00 
 
 0.40 
 
 92.00 
 
 0.80 
 
 91.99 
 
 .20 
 
 92 
 
 93 
 
 93.00 
 
 0.41 
 
 93.00 
 
 0.81 
 
 92.99 
 
 .22 
 
 93 
 
 94 
 
 94.00 
 
 0.41 
 
 94.00 
 
 0.82 
 
 93.99 
 
 .23 
 
 94 
 
 95 
 
 yo.OO 
 
 0.41 
 
 95.00 
 
 0.83 
 
 94.99 
 
 .24 
 
 95 
 
 96 
 
 96.00 
 
 0.42 
 
 96.00 
 
 0.84 
 
 95.99 
 
 1.26 
 
 95 
 
 97 
 
 97.00 
 
 (s.42 1 
 
 97'. 00 
 
 0.85 
 
 96.99 
 
 1.27 
 
 97 
 
 98 
 
 98.00 
 
 0.43 
 
 98.00 
 
 0.86 
 
 97.99 
 
 1.28 
 
 98 
 
 99 
 
 99.00 
 
 0.43 
 
 99.00 
 
 0.86 
 
 98.99 
 
 1.30 
 
 99 
 
 100 
 
 100.00 
 
 . 0.44 
 
 100.00 
 
 0.87 
 
 99.99 
 
 1.31 
 
 100 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 I 
 
 .5 
 P 
 
 89 ? 
 
 Deg. 
 
 891 
 
 >eg. 
 
 89^ I 
 
 )eg. 
 
 1 
 
TRAVERSE TABLE. 
 
 G 
 
 5' 
 
 iDeg. 
 
 H Deg. 
 
 H De - 
 
 1| Deg. 
 
 g? 
 
 C6 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 
 
 f 
 
 1.00 
 
 0.02 
 
 1,00 
 
 0.02 
 
 1.00 
 
 0.03 
 
 1.00 
 
 0.03 
 
 1 
 
 s 
 
 2.00 
 
 0.03 
 
 2,00 
 
 0.04 
 
 2.00 
 
 0.05 
 
 2.00 
 
 0.06 
 
 2 
 
 3 
 
 3.00 
 
 0.05 
 
 3.00 
 
 0.07 
 
 3.00 
 
 0.08 
 
 3.00 
 
 0.09 
 
 3 
 
 4 
 
 4.00 
 
 0.07 
 
 4.00 
 
 0.09 
 
 4.00 
 
 0.10 
 
 4.00 
 
 0.12 
 
 4 
 
 5 
 
 5.00 
 
 0.09 
 
 5.00 
 
 o.n 
 
 5.00 
 
 0.13 
 
 5,00 
 
 0.15 
 
 5 
 
 6 
 
 6.00 
 
 0.10 
 
 G.OO 
 
 0.13 
 
 6.00 
 
 0.16 
 
 6.00 
 
 0.18 
 
 6r 
 
 7 
 
 7.00 
 
 0.12 
 
 7.00 
 
 0.15 
 
 7.00 
 
 0.18 
 
 7.00 
 
 0.21 
 
 7 
 
 8 
 
 8.00 
 
 0.14 
 
 8.00 
 
 0.17 
 
 8.00 
 
 0.21 
 
 8.00 
 
 0.25 
 
 8 
 
 9 
 
 9.00 
 
 0.16 
 
 9.00 
 
 0.20 
 
 9.00 
 
 0.24 
 
 9.00 
 
 0.28 
 
 9 
 
 10 
 
 10.00 
 
 0.17 
 
 10.00 
 
 0.22 
 
 10.00 
 
 0.26 
 
 10.00 
 
 0.31 
 
 10 
 
 11 
 
 11.00 
 
 0.19 
 
 11.00 
 
 0.24 
 
 11.00 
 
 0.28 
 
 10.99 
 
 0.34 
 
 11 
 
 12 
 
 12.00 
 
 0.21 
 
 12.00 
 
 0.26 
 
 12.00 
 
 0.31 
 
 11.99 
 
 0.37 
 
 12 
 
 13 
 
 13.00 
 
 0.23 
 
 13.00 
 
 0.28 
 
 13. 00 
 
 0.34 
 
 12.99 
 
 0.40 
 
 13 
 
 14 
 
 14.00 
 
 0.24 
 
 14.00 
 
 0.31 
 
 14.00 
 
 0.37 
 
 13.99 
 
 0.43 
 
 14 
 
 15 
 
 15,00 
 
 0.2& 
 
 15.00 
 
 0.33 
 
 14.99 
 
 0.39 
 
 14.99 
 
 0.46 
 
 15 
 
 16 
 
 16.00 
 
 0.28 
 
 16.00 
 
 0.35 
 
 15.99 
 
 0.42 
 
 15.99 
 
 0.49 
 
 1& 
 
 17 
 
 17.00 
 
 0.30 
 
 17.00 
 
 0.37 
 
 16.99 
 
 0.45 
 
 16.99 
 
 0.52 
 
 17 
 
 18 
 
 18.00 
 
 0.31 
 
 18.00 
 
 0.39 
 
 17.99 
 
 0.47 
 
 17.99 
 
 0.55 
 
 18 
 
 19 
 
 19.00 
 
 0.33 
 
 19.00 
 
 0.41 
 
 18.99 
 
 0.50 
 
 18.99 
 
 0.58 
 
 19 
 
 20 
 
 20.00 
 
 0.35 
 
 20.00 
 
 0.44 
 
 19.99 
 
 0.52 
 
 19.99 
 
 0.61 
 
 20 
 
 21 
 
 21.00 
 
 0.37 
 
 21.00 
 
 0.46 
 
 20.99 
 
 0.55 
 
 20.99 
 
 0-.64 
 
 21 
 
 22 
 
 22.00 
 
 0.33 
 
 21.99 
 
 0.48 
 
 21.99 
 
 0.58 
 
 21.99 
 
 0.67 
 
 22 
 
 23 
 
 23.00 
 
 0.40 
 
 22.99 
 
 0.50 
 
 23.99 
 
 0.60 
 
 22.99 
 
 0.70 
 
 23 
 
 24 
 
 24.00 
 
 0.42 
 
 23.99 
 
 0.52 
 
 23.99 
 
 0.63 
 
 23.99 
 
 0.73 
 
 24 
 
 25 
 
 25.00 
 
 0.44 
 
 24.99 
 
 0.55 
 
 24,99 
 
 0.65 
 
 24.99 
 
 0.76 
 
 25 
 
 20 
 
 26.00 
 
 0.45 
 
 25.99 
 
 0.57 
 
 25.99 
 
 0.68 
 
 25.99 
 
 0.79 
 
 26 
 
 27 
 
 27.00 
 
 0.47 
 
 26.99 
 
 59 
 
 26.90 
 
 0.71 
 
 26.99 
 
 0.83 
 
 27 
 
 28 
 
 28.00 
 
 0.49 
 
 27.99 
 
 0.61 
 
 27.99 
 
 0.73 
 
 27.99 
 
 0.86 
 
 28 
 
 29 
 
 29.00 
 
 0.51 
 
 28.99 
 
 0.63 
 
 28.99 
 
 0.76 
 
 28.99 
 
 0.89 
 
 29 
 
 30 
 
 30.00 
 
 0.52 
 
 29.99 
 
 0.65 
 
 29.99 
 
 0.79 
 
 29.99 
 
 0.92 
 
 30 
 
 31 
 
 31.00 
 
 0.54 
 
 30.99 
 
 0.68 
 
 30.99 
 
 0.81 
 
 30.99 
 
 0.95 
 
 31 
 
 32 
 
 32.00 
 
 0.56 
 
 31.99 
 
 0.70 
 
 31.99 
 
 0.84 
 
 31.99 
 
 0.98 
 
 32 
 
 33 
 
 32.99 
 
 0.58 
 
 32.99 
 
 0.72 
 
 32.99 
 
 0.86 
 
 32.98 
 
 1.01 
 
 33 
 
 34 
 
 33.99 
 
 0.59 
 
 33.99 
 
 0.74 
 
 33.99 
 
 0.89 
 
 33.98 
 
 '1.04 
 
 34 
 
 35 
 
 34.99 
 
 0.61 
 
 34.99 
 
 0.76 
 
 34.99 
 
 0.92 
 
 34.98 
 
 1.07 
 
 35 
 
 36 
 
 35.99 
 
 O.H3 
 
 35.99 
 
 0.79 
 
 35.99 
 
 0.94 
 
 35.98 
 
 1.10 
 
 36 
 
 37 
 
 36.99 
 
 0.65 
 
 36.99 
 
 0.81 
 
 36.99 
 
 0.97 
 
 36.98 
 
 1.13 
 
 37 
 
 38 
 
 37.99 
 
 0.66 
 
 37.99 
 
 0.83 
 
 37.99 
 
 0.99 
 
 37.98 
 
 1.16 
 
 38 
 
 39 
 
 38.99 
 
 0.68 
 
 38.99 
 
 0.85 
 
 38.99 
 
 1.02 
 
 38.98 
 
 1.19 
 
 39 
 
 40 
 
 39.99 
 
 0.70 
 
 39.99 
 
 0.87 
 
 39.99 
 
 1.05 
 
 39.98 
 
 1.22 
 
 40 
 
 ~41 
 
 40.99 
 
 0.72 
 
 40.99 
 
 0.89 
 
 40.99 
 
 1.07 
 
 40.98 
 
 1.25 
 
 41 
 
 42 
 
 41.99 
 
 0.73 
 
 41.99 
 
 0.92 
 
 41.99 
 
 1.10 
 
 41.98 
 
 1.28 
 
 42 
 
 43 
 
 42.99 
 
 0.75 
 
 42.99 
 
 0.94 
 
 42.99 
 
 1.13 
 
 42.98 
 
 1.31 
 
 43 
 
 44 
 
 43.99 
 
 0.77 
 
 43.99 
 
 0.96 
 
 43.99 
 
 1.15 
 
 43.98 
 
 1.34 
 
 44 
 
 45 
 
 44.99 
 
 0.79 
 
 44.99 
 
 0.98 
 
 44.99 
 
 1.18 
 
 44.98 
 
 1.37 
 
 45 
 
 46 
 
 45.99 
 
 0.80 
 
 45.99 
 
 1.00 
 
 45.99 
 
 1.20 
 
 45.98 
 
 :.*o 
 
 46 
 
 47 
 
 46.99 
 
 0.82 
 
 46.99 
 
 1.03 
 
 46.99 
 
 1.23 
 
 46.98 
 
 1.44 
 
 47 
 
 48 
 
 47.99 
 
 0,84 
 
 47.99 
 
 1.05 
 
 47.98 
 
 1.26 
 
 47.98 
 
 1.47 
 
 48 
 
 49 
 
 48.99 
 
 0.86 
 
 48.99 
 
 1.07 
 
 48.98 
 
 1.28 
 
 48.98 
 
 1.50 
 
 49 
 
 50 
 
 49.99 
 
 0.87 
 
 49.99 
 
 1.09 
 
 49.98 
 
 1.31 
 
 49.98 
 
 1.53 
 
 50 
 
 8* 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 LaU 
 
 Dep. 
 
 Lat. 
 
 0." 
 
 o 
 
 ^ 
 
 
 
 
 
 
 
 
 s 
 
 Q 
 
 89 Deg. 
 
 88| Deg. 
 
 88^ De^. 88* Deg. 
 
 
 
 S 
 
TRAVERSE TABLE. 
 
 Distance. 
 
 1 Deg. 
 
 U Deg. 
 
 H Deg. 
 
 11 Deg. 
 
 Distance. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 D*p. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 51 
 
 50.99 
 
 0.89 
 
 50.99 
 
 1.11 
 
 50.98 
 
 .34 
 
 50.98 
 
 1.56 
 
 51 
 
 52 
 
 51.99 
 
 0.91 
 
 51.99 
 
 1.13 
 
 51.98 
 
 .36 
 
 51.98 
 
 1.59 
 
 52 
 
 53 
 
 52.99 
 
 0.92 
 
 52.99 
 
 1.16 
 
 52.98 
 
 .39 
 
 52.98 
 
 1.62 
 
 53 
 
 54 
 
 53.99 
 
 0.94 
 
 53.99 
 
 1.18 
 
 53.98 
 
 .41 
 
 53.97 
 
 1.65 
 
 54 
 
 55 
 
 54.99 
 
 0.96 
 
 54.99 
 
 .20 
 
 54.98 
 
 .44 
 
 54.97 
 
 1.68 
 
 55 
 
 56 
 
 55.99 
 
 0.98 
 
 55.99 
 
 .22 
 
 55.98 
 
 .47 
 
 55.97 
 
 1.71 
 
 56 
 
 57 
 
 56.99 
 
 0.99 
 
 56.99 
 
 .24 
 
 56.98 
 
 .49 
 
 56.97 
 
 1.74 
 
 57 
 
 58 
 
 57.99 
 
 1.01 
 
 57.99 
 
 .27 
 
 57.98 
 
 .52 
 
 57.97 
 
 1.77 
 
 58 
 
 59 
 
 58.99 
 
 1.03 
 
 58.99 
 
 .29 
 
 58.98 
 
 .54 
 
 58.97 
 
 1.80 
 
 59 
 
 60 
 
 59 . 99 
 
 1.05 
 
 59.99 
 
 .31 
 
 59.98 
 
 .57 
 
 59.97 
 
 1.83 
 
 60 
 
 61 
 
 60.99 
 
 1.06 
 
 60.99 
 
 .33 
 
 60.98 
 
 .60 
 
 60.97 
 
 1.86 
 
 61 
 
 62 
 
 61.99 
 
 1.08 
 
 61.99 
 
 .35 
 
 61.98 
 
 .02 
 
 61.97 
 
 1.89 
 
 62 
 
 63 
 
 62.99 
 
 1.10 
 
 62.99 
 
 .37 
 
 62.98 
 
 .65 
 
 62.97 
 
 1.92 
 
 63 
 
 64 
 
 63.99 
 
 1.12 
 
 63.98 
 
 .40 
 
 63.98 
 
 .68 
 
 63.97 
 
 1.95 
 
 64 
 
 65 
 
 64.99 
 
 1.13 
 
 64.98 
 
 .42 
 
 64.98 
 
 .70 
 
 64.97 
 
 1.99 
 
 65 
 
 66 
 
 65.99 
 
 1.15 
 
 65.98 
 
 .44 
 
 85.98 
 
 .73 
 
 65.97 
 
 2.02 
 
 66 
 
 67 
 
 66.99 
 
 1.17 
 
 66.98 
 
 .46 
 
 66.98 
 
 .75 
 
 66.97 
 
 2.05 
 
 67 
 
 68 
 
 67.99 
 
 1.19 
 
 67.98 
 
 .48 
 
 67.98 
 
 .78 
 
 67.97 
 
 2.08 
 
 68 
 
 69 
 
 68.99 
 
 1.20 
 
 68.98 
 
 .51 
 
 68.98 
 
 1.81 
 
 68.97 
 
 2.11 
 
 69 
 
 70 
 
 69.99 
 
 1.22 
 
 69.98 
 
 .53 
 
 69.98 
 
 1.83 
 
 69.97 
 
 2.14 
 
 70 
 
 71 
 
 70.99 
 
 1.24 
 
 70.98 
 
 .55 
 
 70.98 
 
 1.86 
 
 70.97 
 
 2.17 
 
 71 
 
 72 
 
 71.99 
 
 1.26 
 
 71.98 
 
 .57 
 
 71.98 
 
 1.88 
 
 71.97 
 
 2.20 
 
 72 
 
 73 
 
 72.99 
 
 1.27 
 
 72.98 
 
 .59 
 
 72.97 
 
 1.91 
 
 ''2.97 
 
 2.23 
 
 73 
 
 74 
 
 73.99 
 
 1.29 
 
 73.98 
 
 .61 
 
 73.97 
 
 1.94 
 
 73.97 
 
 2.26 
 
 74 
 
 75 
 
 74.99 
 
 1.31 
 
 74.98 
 
 .641 
 
 74.97 
 
 1.96 
 
 74.97 
 
 2.29 
 
 75 
 
 76 
 
 75.99 
 
 1.33 
 
 75.98 
 
 .66 
 
 75.97 
 
 1.99 
 
 75.96 
 
 2.32 
 
 76 
 
 77 
 
 76 . 99 
 
 1.34 
 
 76.98 
 
 .68 
 
 76.97 
 
 2.02 
 
 76.96 
 
 2.35 
 
 77 
 
 78 
 
 77.99 
 
 .36 
 
 77.98 
 
 .70 
 
 77,97 
 
 2.04 
 
 77.96 
 
 2.38 
 
 78 
 
 79 
 
 78.99 
 
 .38 
 
 78.98 
 
 .72 
 
 78.97 
 
 2.07 
 
 78.96 
 
 2.41 
 
 79 
 
 80 
 
 79.99 
 
 .40 
 
 79.98 
 
 .75 
 
 79 . 97 
 
 2.09 
 
 79.96 
 
 2.44 
 
 80 
 
 81 
 
 80.99 
 
 .41 
 
 80.98 
 
 .77 
 
 80.97 
 
 2.12 
 
 80.96 
 
 2.47 
 
 81 
 
 82 81.99 
 
 .43 
 
 81.98 
 
 .79 
 
 81.97 
 
 2.15 
 
 81.96 
 
 2.50 
 
 82 
 
 83 
 
 82.99 
 
 .45 
 
 82.98 
 
 .81 1 
 
 82.97 
 
 2.17 
 
 82.96 
 
 2.53 
 
 83 
 
 84 
 
 83.99 
 
 .47 
 
 83.98 
 
 .83 
 
 83.97 
 
 2.20 
 
 83.96 
 
 2.57 
 
 84 
 
 85 
 
 84.99 
 
 .48 
 
 84.98 
 
 .85 
 
 84.97 
 
 2.23 
 
 84.96 
 
 2.60 
 
 85 
 
 86 
 
 85.99 
 
 .50 
 
 85.98 
 
 .88 
 
 85.97 
 
 2.25 
 
 85.96 
 
 2.63 
 
 86 
 
 87 
 
 86 . 99 
 
 .52 
 
 86.98 
 
 .90 
 
 86.97 
 
 2.28 
 
 86 . 96 
 
 2.66 
 
 87 
 
 88 
 
 87.99 
 
 .54 
 
 87.98 
 
 .921 
 
 87.97 
 
 2.30 
 
 87.96 
 
 2.69 
 
 88 
 
 89 
 
 88.99 
 
 .55 
 
 88.98 
 
 .94 
 
 88.97 
 
 2.33 
 
 88 . 96 
 
 2.72 
 
 89 
 
 90 
 
 89.99 
 
 .57 
 
 89.98 
 
 .96 
 
 89.97 
 
 2.36 
 
 89.96 
 
 2.75 
 
 90 
 
 91 
 
 90.99 
 
 .59 
 
 90.98 
 
 1.99 
 
 90.97 
 
 2.38 
 
 90.96 
 
 2.78 
 
 91 
 
 92 
 
 91.99 
 
 .61 
 
 91.98 
 
 2.01 
 
 91.97 
 
 2.41 
 
 91.98 
 
 2.81 
 
 92 
 
 93 
 
 92 . 99 
 
 .62 
 
 92.98 
 
 2.03 
 
 92.97 
 
 2.43 
 
 92.96 
 
 2.84 
 
 93 
 
 94 
 
 93.99 
 
 .64 
 
 93.98 
 
 2.05 
 
 93.97 
 
 2.46 
 
 93.96 
 
 2.87 
 
 94 
 
 95 
 
 94.99, 
 
 .66 
 
 94.98 
 
 2.07 
 
 94.97 
 
 2.49 
 
 94.96 
 
 2.90 
 
 95 
 
 96 
 
 95.99 
 
 .68 
 
 95.98 
 
 2.09 
 
 95.97 
 
 2.51 
 
 95.96 
 
 2.94 
 
 96 
 
 97 
 
 96.99 
 
 .69 
 
 96.98 
 
 2.12 
 
 96.97 
 
 2.54 
 
 96.95 
 
 2.96 
 
 97 
 
 98 
 
 97.99 
 
 1.71 
 
 97.98 
 
 2.14 
 
 97.97 
 
 2.57 
 
 97.95 
 
 2.99 
 
 98 
 
 99 
 
 98.98 
 
 1.73 
 
 98.98 
 
 2.16 
 
 98.97 
 
 2.59 
 
 98.95 
 
 3.02 
 
 99 
 
 100 
 
 99.98 
 
 1.75 
 
 99.98 
 
 2.18 
 
 99.97 
 
 2.62 
 
 99.95 
 
 3.05 
 
 100 
 
 I 
 
 Dep. 
 
 Lat. 
 
 Dep 
 
 Lat. || Dep. 
 
 Lat. 
 
 Dep. Lat. 
 
 1 
 
 J 
 
 b 
 
 89 Deg. 
 
 I 
 88| Deg. 
 
 881 Deg. 
 
 884 Deg. 
 
 vi 
 
 a 
 
 
 
 
Tit AVERSE TAKLE. 
 
 o 
 
 2 Deg. 
 
 2J Deg. 
 
 2 Deg. 
 
 2J Deg. 
 
 O 
 
 
 p 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 
 o 
 
 CD 
 
 
 
 
 
 
 
 
 B 
 
 
 f 
 
 I 
 
 1.00 
 
 0.03 
 
 J.OO 
 
 0.04 
 
 1.00 
 
 0.04 
 
 1.00 
 
 0.05 
 
 2 
 
 2.00 
 
 0.07 
 
 2.00 
 
 0.08 
 
 2.00 
 
 0.09 
 
 2.00 
 
 0.10 
 
 2 
 
 p 
 
 3.00 
 
 0.10 
 
 3.00 
 
 0.12 
 
 3.00 
 
 0.13 
 
 3.00 
 
 0.14 
 
 3 
 
 4 
 
 4.00 
 
 0.14 
 
 4.00 
 
 0.16 
 
 4.00 
 
 0.17 
 
 4.00 
 
 0.19 
 
 4 
 
 5 
 
 5.00 
 
 0.17 
 
 5.00 
 
 0.20 
 
 5.00 
 
 0.22 
 
 4.99 
 
 0.24 
 
 5 
 
 6 
 
 6.00 
 
 0.21 
 
 6.00 
 
 0.24 
 
 5.99 
 
 0.26 
 
 5.99 
 
 0.29 
 
 6 
 
 7 
 
 7.00 
 
 0.24 
 
 6.99 
 
 0.27 
 
 6.99 
 
 0.31 
 
 6.99 
 
 0.34 
 
 7 
 
 8 
 
 7.99 
 
 0.28 
 
 7.99 
 
 0.31 
 
 7.99 
 
 0.35 
 
 7.99 
 
 0.38 
 
 8 
 
 9 
 
 8.99 
 
 0.31 
 
 8. .99 
 
 0.35 
 
 8.99 
 
 0.39 
 
 8.99 
 
 0.43 
 
 9 
 
 10 
 
 9.99 
 
 0.35 
 
 9.99 
 
 0.39 
 
 9.99 
 
 0.44 
 
 9.99 
 
 0.48 
 
 10 
 
 11 
 
 10.99 
 
 0.38 
 
 10.99 
 
 0.43 
 
 10.99 
 
 0.48 
 
 10.99 
 
 0.53 
 
 11 
 
 12 
 
 11.99 
 
 0.42 
 
 11.99 
 
 0.47 
 
 11.99 
 
 0.52 
 
 11.99 
 
 0.58 
 
 12 
 
 13 
 
 12.99 
 
 0.45 
 
 12.99 
 
 0.51 
 
 12.99 
 
 0.57 
 
 12.99 
 
 0.62 
 
 13 
 
 14 
 
 13.99 
 
 0.49 
 
 13.99 
 
 0.55 
 
 13.99 
 
 0.61 
 
 13.98 
 
 0.67 
 
 14 
 
 15 
 
 14.99 
 
 0.52 
 
 14.99 
 
 0.59 
 
 14.99 
 
 0.65 
 
 14.98 
 
 0.72 
 
 15 
 
 16 
 
 15.99 
 
 0.56 
 
 15.99 
 
 0.63 
 
 15.99 
 
 0.70 
 
 15.98 
 
 0.77 
 
 16 
 
 17 
 
 16.99 
 
 0.59 
 
 16.99 
 
 0.67 
 
 16.98 
 
 0.74 
 
 16.98 
 
 0.82 
 
 17 
 
 18 
 
 17.99 
 
 0.63 
 
 17.99 
 
 0.71 
 
 17.98 
 
 0.79 
 
 17.98 
 
 0.86 
 
 18 
 
 19 
 
 18.99 
 
 0.66 
 
 18.99 
 
 0.75 
 
 18.98 
 
 0.83 
 
 18.98 
 
 0.91 
 
 19 
 
 20 
 
 19.99 
 
 0.70 
 
 19.98 
 
 0.79 
 
 19.98 
 
 0.87 
 
 19.98 
 
 0.96 
 
 20 
 
 21 
 
 20.99 
 
 0.73 
 
 20.98 
 
 0.82 
 
 20.98 
 
 0.92 
 
 20.98 
 
 .01 
 
 21 
 
 22 
 
 21.99 
 
 0.77 
 
 21.98 
 
 0.86 
 
 21.98 
 
 0.96 
 
 21.97 
 
 .06 
 
 22 
 
 23 
 
 22.99 
 
 O.bO 
 
 22.98 
 
 0.90 
 
 22 . 98 
 
 1.00 
 
 22.97 
 
 .10 
 
 23 
 
 24 
 
 23.99 
 
 0.84 
 
 23.98 
 
 0.94 
 
 23.98 
 
 1.05 
 
 23.97 
 
 .15 
 
 24 
 
 25 
 
 24.98 
 
 0.87 
 
 24.98 
 
 0.98 
 
 24.98 
 
 1.09 
 
 24.97 
 
 .20 
 
 25 
 
 26 
 
 25.98 
 
 0.91 
 
 25.98 
 
 .02 
 
 25.98 
 
 1.13 
 
 25.97 
 
 .25 
 
 26 
 
 27 
 
 26.98 
 
 0.94 
 
 26.98 
 
 .06 
 
 26.97 
 
 1.18 
 
 26.97 
 
 .30 
 
 27 
 
 28 
 
 27.98 
 
 0.98 
 
 27.98 
 
 .10 
 
 27.97 
 
 1.22 
 
 27.97 
 
 .34 
 
 28 
 
 29 
 
 28.98 
 
 1.01 
 
 28.98 
 
 .14 
 
 28.97 
 
 1.26 
 
 28.97 
 
 .39 
 
 29 
 
 30 
 
 29.98 
 
 1.05 
 
 29.98 
 
 .18 
 
 29.97 
 
 1.31 
 
 29.97 
 
 .44 
 
 30 
 
 31 
 
 30.98 
 
 1.08 
 
 30.98 
 
 .22 
 
 30.97 
 
 1.35 
 
 30.96 
 
 .49 
 
 31 
 
 32 
 
 31.98 
 
 1.12 
 
 31.98 
 
 .26 
 
 31.97 
 
 1.40 
 
 31.96 
 
 .54 
 
 32 
 
 33 
 
 32.98 
 
 1.15 
 
 32.97 
 
 .30 
 
 32.97 
 
 1.44 
 
 32.96 
 
 .58 
 
 33 
 
 34 
 
 33.98 
 
 .19 
 
 33.97 
 
 1.33 
 
 33.97 
 
 1.48 
 
 33.96 
 
 .63 
 
 34 
 
 35 
 
 34.98 
 
 .22 
 
 34.97 
 
 1.37 
 
 34.97 
 
 1 . 53 
 
 34.96 
 
 .68 
 
 35 
 
 36 
 
 35 . 98 
 
 .26 
 
 35.97 
 
 1.41 
 
 35.97 
 
 1.57 
 
 35.96 
 
 .73 
 
 36 
 
 37 
 
 36.98 
 
 .29 
 
 36.97 
 
 1.45 
 
 36.96 
 
 1.61 
 
 36.96 
 
 .78 
 
 37 
 
 38 
 
 37.98 
 
 .33 
 
 37.97 
 
 1.49 
 
 37.96 
 
 1.66 
 
 37.96 
 
 .82 
 
 38 
 
 39 
 
 38.98 
 
 1.36 
 
 38.97 
 
 1.53 
 
 38.96 
 
 1.70 
 
 38.96 
 
 .87 
 
 39 
 
 40 
 
 39.98 
 
 1.40 
 
 39.97 
 
 1.57 
 
 39.96 
 
 1.75 
 
 39.95 
 
 1.92 
 
 40 
 
 41 
 
 40.98 
 
 1.43 
 
 40.97 
 
 1.61 
 
 40.96 
 
 1.77 
 
 40.95 
 
 1.97 
 
 41 
 
 42 
 
 41.97 
 
 1.47 
 
 41.97 
 
 1.65 
 
 41.96 
 
 1.83 
 
 41.95 
 
 2.02 
 
 42 
 
 43 
 
 42.97 
 
 1.50 
 
 42.97 
 
 1.69 
 
 42.96 
 
 1.88 
 
 42.95 
 
 2.06 
 
 43 
 
 44 
 
 43.97 
 
 1.54 
 
 43.97 
 
 1.73 
 
 43.96 
 
 1.92 
 
 43.95 
 
 2.11 
 
 44 
 
 45 
 
 44.97 
 
 1.57 
 
 44.97 
 
 1.77 
 
 44.96 
 
 1.96 
 
 44.95 
 
 . 2.16 
 
 45 
 
 46 
 
 45.97 
 
 1.61 
 
 45.96 
 
 1.81 
 
 45.96 
 
 2.01 
 
 45.95 
 
 2.21 
 
 46 
 
 47 
 
 46.97 
 
 1.64 
 
 46.96 
 
 1.85 
 
 46.96 
 
 2.05 
 
 46.95 
 
 2.25 
 
 47 
 
 48 
 
 47.97 
 
 1.68 
 
 47.96 
 
 1.88 
 
 47.95 
 
 2.09 
 
 47.95 
 
 2.30 
 
 48 
 
 49 
 
 48.97 
 
 1.71 
 
 48.96 
 
 1.92 
 
 48.95 
 
 2.14 
 
 48.94 
 
 2.35 
 
 49 
 
 50 
 
 49.97 
 
 1.74 
 
 49.96 
 
 1.96 
 
 49.95 
 
 2.18 
 
 49.94 
 
 2.40 
 
 50 
 
 OJ 
 
 o 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 S 
 
 C 
 
 
 
 
 
 
 
 
 1 
 
 
 
 
 
 C 
 
 88 Deg. 
 
 87| Deg. 
 
 87^ Deg. 
 
 87i Deg. 
 
 Q 
 
TRAVERSE TABLE. 
 
 2 
 
 2 Deg. 
 
 2* Deg. 
 
 2 Deg. 
 
 2| Deg. 
 
 
 
 s. 
 
 
 
 
 
 i" 
 
 1 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 3 
 n 
 
 9 
 
 51 
 
 50.97 
 
 1.78 
 
 50.96 
 
 2.00 
 
 50.95 
 
 2.22 
 
 50.94 
 
 2.45 
 
 51 
 
 52 
 
 51.97 
 
 1.81 
 
 51.96 
 
 2.04 
 
 51.95 
 
 2.27 
 
 51.94 
 
 2.50 
 
 52 
 
 53 
 
 52.97 
 
 1.85 
 
 52.96 
 
 2.08 
 
 52.95 
 
 2.31 
 
 52.94 
 
 2.54 
 
 53 
 
 54 
 
 53.97 
 
 1.88 
 
 53.96 
 
 2.12 
 
 53.95 
 
 2.36 
 
 53 . 94 
 
 2.59 
 
 54 
 
 55 
 
 54.97 
 
 1.92 
 
 54.96 
 
 2.16 
 
 54.95 
 
 2.40 
 
 54.94 
 
 2.64 
 
 55 
 
 56 
 
 55.97 
 
 1.95 
 
 55.96 
 
 2.20 
 
 55.95 
 
 2.44 
 
 55.94 
 
 2.69 
 
 56 
 
 57 
 
 56.97 
 
 1.99 
 
 56.96 
 
 2.24 
 
 56.95 
 
 2.49 
 
 56 . 93 
 
 2.73 
 
 57 
 
 58 
 
 57.96 
 
 2.02 
 
 57.96 
 
 2.28 
 
 57.94 
 
 2.53 
 
 57.93 
 
 2.78 
 
 58 
 
 59 
 
 58.96 
 
 2.06 
 
 58.95 
 
 2.32 
 
 58.94 
 
 2.57 
 
 58.93 
 
 2.83 
 
 59 
 
 60 
 
 59.96 
 
 2.09 
 
 59.95 
 
 2.36 
 
 59.94 
 
 2.62 
 
 59.93 
 
 2.88 
 
 60 
 
 61 
 
 60.96 
 
 2.13 
 
 60,95 
 
 2.39 
 
 60.94 
 
 2.66 
 
 60.93 
 
 2.93 
 
 61 
 
 62 
 
 61.96 
 
 2.16 
 
 61.95 
 
 2.43 
 
 61.94 
 
 2.70 
 
 61.93 
 
 2.97 
 
 62 
 
 63 
 
 62.96 
 
 2.20 
 
 62.95 
 
 2.47 
 
 62.94 
 
 2.75 
 
 62.93 
 
 3.02 
 
 63 
 
 64 
 
 63.96 
 
 2.23 
 
 63.95 
 
 2.51 
 
 63.94 
 
 2.79 
 
 63.93 
 
 3.07 
 
 64 
 
 65 
 
 64.96 
 
 2.27 
 
 64.95 
 
 2.55 
 
 64.94 
 
 2.84 
 
 64.93 
 
 3.12 
 
 65 
 
 66 
 
 65.96 
 
 2.30 
 
 65.95 
 
 2.59 
 
 65.94 
 
 2.88 
 
 65.92 
 
 3.17 
 
 66 
 
 67 
 
 66.96 
 
 2.34 
 
 66.95 
 
 2.63 
 
 66.94 
 
 2.92 
 
 66.92 
 
 3.21 
 
 67 
 
 68 
 
 67.96 
 
 2.37 
 
 67.95 
 
 2.67 
 
 67.94 
 
 2.97 
 
 67.92 
 
 3.26 
 
 68 
 
 69 
 
 68 . 96 
 
 2.41 
 
 68.95 
 
 2.71 
 
 68.93 
 
 3.01 
 
 68.92 
 
 3.31 
 
 69 
 
 70 
 
 69.96 
 
 2.44 
 
 69.95 
 
 2.75 
 
 69.93 
 
 3.05 
 
 69.92 
 
 3.36 
 
 70 
 
 71 
 
 70.96 
 
 2.48 
 
 70.95 
 
 2.79 
 
 70.93 
 
 3.10 
 
 70.92 
 
 3". 41 
 
 71 
 
 72 
 
 71.96 
 
 2.51 
 
 71.94 
 
 2.83 
 
 71.93 
 
 3.14 
 
 71.92 
 
 3.45 
 
 72 
 
 73 
 
 72.96 
 
 2.55 
 
 72.94 
 
 2.87 
 
 72.93 
 
 3.18 
 
 72.92 
 
 3.50 
 
 73 
 
 74 
 
 73 . 95 
 
 2.58 
 
 73.94 
 
 2.91 
 
 73.93 
 
 3.23 
 
 73.91 
 
 3.55 
 
 74 
 
 75 
 
 74.95 
 
 2.62 
 
 74.94 
 
 2.94 
 
 74.93 
 
 3.27 
 
 74.91 
 
 3.60 
 
 75 
 
 76 
 
 75.95 
 
 2.65 
 
 75.94 
 
 2.98 
 
 75.93 
 
 3.31 
 
 75.91 
 
 3.65 
 
 76 
 
 77 
 
 76.95 
 
 2.69 
 
 76.94 
 
 3.02 
 
 76.93 
 
 3.36, 
 
 76.91 
 
 3.70 
 
 77 
 
 78 
 
 77.95 
 
 2.72 
 
 77.94 
 
 3.06 
 
 77.93 
 
 3.40 
 
 77.91 
 
 3.74 
 
 78 
 
 79 
 
 78.95 
 
 2.76 
 
 78.94 
 
 3.10 
 
 78.92 
 
 3.45 
 
 78.91 
 
 3.79 
 
 79 
 
 80 
 
 79 . 95 
 
 2.79 
 
 79.94 
 
 3.14 
 
 79.92 
 
 3.49 
 
 79.91 
 
 3.84 
 
 80 
 
 81 
 
 80.95 
 
 2.83 
 
 80.94 
 
 3.18 
 
 80.92 
 
 3.53 
 
 80.91 
 
 3.89 
 
 81 
 
 82 
 
 81.95 
 
 2.86 
 
 81.94 
 
 3.22 
 
 81.92 
 
 3.58 
 
 81.91 
 
 3.93 
 
 82 
 
 83 
 
 82 . 95 
 
 2.90 
 
 82.94 
 
 3.26 
 
 82.92 
 
 3.62 
 
 82.90 
 
 3.98 
 
 83 
 
 84 
 
 83.95 
 
 2.93 
 
 83.94 
 
 3.30 
 
 83.92 
 
 3.66 
 
 83.90 
 
 4.03 
 
 84 
 
 85 
 
 84.95 
 
 2.97 
 
 84.93 
 
 3.34 
 
 84.92 
 
 3.71 
 
 84.90 
 
 4.08 
 
 85 
 
 86 
 
 85.95 
 
 3.00 
 
 85.93 
 
 3.38 
 
 85.92 
 
 3.75 
 
 85.90 
 
 4.13 
 
 86 
 
 87 
 
 86.95 
 
 3.04 
 
 86.93 
 
 3.42 
 
 86.92 
 
 3.79 
 
 86.90 
 
 4.17 
 
 87 
 
 88 
 
 87.95 
 
 3.07 
 
 87.93 
 
 3.45 
 
 87.92 
 
 3.84 
 
 87.90 
 
 4.22 
 
 88 
 
 89 
 
 88.95 
 
 3.11 
 
 88.93 
 
 3.49 
 
 88.92 
 
 3.88 
 
 88.90 
 
 4.27 
 
 89 
 
 90 
 
 89 . 95 
 
 3.14 
 
 89.93 
 
 3.53 
 
 89.91 
 
 3.93 
 
 89.90 
 
 4.32 
 
 90 
 
 91 
 
 90.95 
 
 3.18 
 
 90.93 
 
 3.57 
 
 90.91 
 
 3.97 
 
 90.90 
 
 4.37 
 
 91 
 
 92 
 
 91.94 
 
 3.21 
 
 91.93 
 
 3.61 
 
 91.91 
 
 4.01 
 
 91.89 
 
 4.41 
 
 92 
 
 93 
 
 92.94 
 
 3.25 
 
 92.93 
 
 3.65 
 
 92.91 
 
 4.06 
 
 92.89 
 
 4.46 
 
 93 
 
 94 
 
 93.94 
 
 3.28 
 
 93.93 
 
 3.69 
 
 93.91 
 
 4.10 
 
 93.89 
 
 4.51 
 
 91 
 
 95 
 
 94.94 
 
 3.32 
 
 94.93 
 
 3.73 
 
 94.91 
 
 4.14 
 
 94.89 
 
 4.56 
 
 95 
 
 96 
 
 95.94 
 
 3.35 
 
 95.93 
 
 3.77 
 
 95.91 
 
 4.19 
 
 95.89 
 
 4.61 
 
 96 
 
 97 
 
 96.94 
 
 3.39 
 
 96.93 
 
 3.81 
 
 96.91 
 
 4.23 
 
 96.89 
 
 4.65 
 
 97 
 
 98 
 
 97.94 
 
 3.42 
 
 97.92 
 
 3.85 
 
 97.91 
 
 4.27 
 
 97.89 
 
 4.70 
 
 93 
 
 99 
 
 98.94 
 
 3.46 
 
 98.92 
 
 3.89 
 
 98.91 
 
 4.32 
 
 98.89 
 
 4.75 
 
 99 
 
 100 
 
 99.94 
 
 3.49 
 
 99.92 
 
 3.93 
 
 99.91 
 
 4.36 
 
 99.88 
 
 4.80 
 
 100 
 
 1 
 
 Dep. 
 
 Lac. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 | 
 
 5 
 
 88 Deg. 
 
 87| Deg. 
 
 87 Deg. 
 
 87i Deg. 
 
 a 
 
TRAVERSE TABLE. 
 
 c 
 
 3 Deg. 
 
 3} Deg. 
 
 3^ Deg. 
 
 3| Deg. 
 
 O 
 
 1 
 
 
 
 
 
 i ? 
 
 i 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 ep- g 
 
 i 
 
 1.00 
 
 0.05 
 
 1. 00 
 
 0.06 
 
 1.00 
 
 0.06 
 
 1.00 
 
 0.06 
 
 1 
 
 2 
 
 2.00 
 
 0.10 
 
 2.00 
 
 0.11 
 
 2.00 
 
 0.12 
 
 2.00 
 
 0.13 
 
 2 
 
 3 
 
 3.00 
 
 0.16 
 
 3.00 
 
 0.17 
 
 2.99 
 
 0.18 
 
 2.99 
 
 0.20! 3 
 
 4 
 
 3.99 
 
 0.21 
 
 3.99 
 
 0.23 
 
 3.99 
 
 0.24 
 
 3.99 
 
 0.26i 4 
 
 5 
 
 4.99 
 
 0.26 
 
 4.99 
 
 0.28 
 
 4.99 
 
 0.31 
 
 4.99 
 
 0.33 
 
 5 
 
 6 
 
 5.99 
 
 0.31 
 
 5.99 
 
 0.34 
 
 5.99 
 
 0.37 
 
 5.99 
 
 0.39 
 
 6 
 
 7 
 
 6.99 
 
 0.37 
 
 6.99 
 
 0.40 
 
 6.99 
 
 0.43 
 
 6.99 
 
 0.46 
 
 7 
 
 8 
 
 7.99 
 
 0.42 
 
 7.99 
 
 0.45 
 
 7.99 
 
 0.49 
 
 7.98 
 
 0.52 
 
 8 
 
 9 
 
 8.99 
 
 0.47 
 
 8.99 
 
 0.51 
 
 8.98 
 
 . 55 
 
 8.98 
 
 0.59 
 
 9 
 
 10 
 
 9.99 
 
 0.52 
 
 9.98 
 
 0.57 
 
 9.98 
 
 0.61 
 
 9.98 
 
 0.65 
 
 10 
 
 11 
 
 10.98 
 
 0.58 
 
 10.98 
 
 0.62 
 
 10.98 
 
 0.67 
 
 10.98 
 
 0.72 
 
 11 
 
 12 
 
 11.98 
 
 0.63 
 
 11.98 
 
 0.68 
 
 11.98 
 
 0.73 
 
 11.97 
 
 0.78 
 
 12 
 
 13 
 
 12.98 
 
 0.68 
 
 12.98 
 
 0.73 
 
 12.98 
 
 0.79 
 
 12.97 
 
 0.85 
 
 13 
 
 14 
 
 13.98 
 
 0.73 
 
 13.98 
 
 0.79 
 
 13.97 
 
 0.85 
 
 13.97 
 
 0.92 
 
 14 
 
 15 
 
 14.98 
 
 0.79 
 
 14.98 
 
 0.85 
 
 14.97 
 
 0.92 
 
 14.97 
 
 0.98 
 
 15 
 
 16 
 
 15.98 
 
 0.84 
 
 15.97 
 
 0.91 
 
 15.97 
 
 0.98 
 
 15.97 
 
 .05 
 
 16 
 
 17 
 
 16.98 
 
 0.89 
 
 16.97 
 
 0.96 
 
 16.97 
 
 1.04 
 
 16.96 
 
 .11 
 
 17 
 
 18 
 
 17.98 
 
 0.94 
 
 17.97 
 
 1.02 
 
 17.97 
 
 1.10 
 
 17.96 
 
 .18 
 
 18 
 
 19 
 
 18.98 
 
 0.99 
 
 18.97 
 
 1.08 
 
 18.96 
 
 1.16 
 
 18.96 
 
 .24 
 
 19 
 
 20 
 
 19.97 
 
 1.05 
 
 19.97 
 
 1.13 
 
 19.96 
 
 1.22 
 
 19.96 
 
 .31 
 
 20 
 
 21 
 
 20 . 97 
 
 1.101 
 
 20.97 
 
 1.19 
 
 20.96 
 
 1.28 
 
 20.96 
 
 .37 
 
 21 
 
 22 
 
 21.97 
 
 1.15 
 
 21.96 
 
 1.25 
 
 21.96 
 
 1.34 
 
 21.95 
 
 .44 
 
 22 
 
 23 
 
 22.97 
 
 1.20 
 
 22.96 
 
 1.30 
 
 22.96 
 
 1.40 
 
 22.95 
 
 .50 
 
 23 
 
 24 
 
 23.97 
 
 1.26 
 
 23.96 
 
 1.36 
 
 23.96 
 
 1.47 
 
 23.95 
 
 .57 
 
 24 
 
 25 
 
 24.97 
 
 1.31 
 
 24.96 
 
 1.42 
 
 24.95 
 
 1.53 
 
 24.95 
 
 .64 
 
 25 
 
 26 
 
 25.96 
 
 .36 
 
 25 . 96 
 
 1.47 J25.95 
 
 1.59 
 
 25.94 
 
 .70 
 
 26 
 
 27 
 
 26.96 
 
 .41 
 
 26.96 
 
 1.53 26.95 
 
 1.65 
 
 26.94 
 
 .77 
 
 27 
 
 28 
 
 27.96 
 
 1.47 
 
 27.95 
 
 1.59 
 
 27.95 
 
 1.71 
 
 27.94 
 
 .83 
 
 28 
 
 29 
 
 28.96 
 
 .52 
 
 28.95 
 
 1.64 
 
 28 . 95 
 
 1.77 
 
 28.94 
 
 .90 
 
 29 
 
 30 
 
 29.96 
 
 .57 
 
 29.95 
 
 1.70 
 
 29.94 
 
 1.83 
 
 29.94 
 
 .96 
 
 30 
 
 31 
 
 30.96 
 
 1.62 
 
 30.95 
 
 1.76 
 
 30.94 
 
 1.89 
 
 30.93 
 
 2.03 
 
 31 
 
 32 
 
 31.96 
 
 1.67 
 
 31.95 
 
 1.81 
 
 31.94 
 
 1.95 
 
 31.93 
 
 2.09 
 
 32 
 
 33 
 
 32.95 
 
 1.73 
 
 32.95 
 
 1.87 
 
 32.94 
 
 2.0] 
 
 32.93 
 
 2.16 
 
 33 
 
 34 
 
 33.95 
 
 1.78 
 
 33.95 
 
 1.93 
 
 33.94 
 
 2.08 
 
 33.93 
 
 2.22 
 
 34 
 
 35 
 
 34.95 
 
 1.83 
 
 34.94 
 
 1.98 
 
 34.93 
 
 2.11 
 
 34.92 
 
 2.29 
 
 35 
 
 36 
 
 35.95 
 
 1.88 
 
 35.94 
 
 2.04 
 
 35.93 
 
 2.20 
 
 35.92 
 
 2.35 
 
 36 
 
 37 
 
 36 . 95 
 
 1.94 
 
 36.94 
 
 2.10 
 
 36.93 
 
 2.26 
 
 36.92 
 
 2.42 
 
 37 
 
 38 
 
 37.95 
 
 1.99 
 
 37.94 
 
 2.15 
 
 37.93 
 
 2.32 
 
 37.92 
 
 2.49 
 
 38 
 
 39 
 
 38.95 
 
 2.04 
 
 38.94 
 
 2.21 
 
 38.93 
 
 2.38 
 
 38.92 
 
 2.55 
 
 39 
 
 40 
 
 39.95 
 
 2.09 
 
 39.94 
 
 2.27 
 
 39.93 
 
 2.44 
 
 39.91 
 
 2.62 
 
 40 
 
 41 
 
 40.94 
 
 2.15 
 
 40.93 
 
 2.32 i 
 
 40.92 
 
 2.50 
 
 40.91 
 
 2.68 
 
 41 
 
 42 
 
 41. &4 
 
 2.20 
 
 41.93 
 
 2.38 
 
 41.92 
 
 2.56 
 
 41.91 
 
 2.75 
 
 42 
 
 43 
 
 42.94 
 
 2.25 
 
 42.93 
 
 2.44 
 
 42.92 
 
 2.63 
 
 42.91 
 
 2.81 
 
 43 
 
 44 
 
 43.94 
 
 2.30 
 
 43.93 
 
 2.49 
 
 43.92 
 
 2.69 
 
 43.91 
 
 2.88 
 
 44 
 
 45 
 
 44.94 
 
 2.36 
 
 44.93 
 
 2.55 
 
 44.92 
 
 2.75 
 
 44.90 
 
 2.94 
 
 45 
 
 46 
 
 45.94 
 
 2.41 
 
 45.93 
 
 2.61 
 
 45.91 
 
 2.81 
 
 45.90 
 
 3.01 
 
 46 
 
 47 
 
 46.94 
 
 2.46 
 
 46 . 92 
 
 2.66 
 
 46.91 
 
 2.87 
 
 46.90 
 
 3.07 
 
 47 
 
 48 
 
 47.93 
 
 2.51 
 
 47.92 
 
 2.72 
 
 47.91 
 
 2.93 
 
 47.90 
 
 3.14 
 
 48 
 
 49 
 
 48.93 
 
 2.56 
 
 48.92 
 
 2.78 
 
 48.91 
 
 2.99 
 
 48.90 
 
 3.20 
 
 49 
 
 50 
 
 49.93 
 
 2.62 
 
 49.92 
 
 2.83 
 
 49.91 
 
 3.05 
 
 49.89 
 
 3.27 
 
 50 
 
 I 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 i 
 
 d 
 
 5 
 
 87 Deg. 
 
 86| Deg. 
 
 86 Deg. 
 
 86* Deg. 
 
 s 
 
TRAVERSE TAULE. 
 
 p 
 
 3 Deg. 
 
 3} Deg. 
 
 31 Deg. 
 
 3| Deg. 
 
 a 
 
 p 
 
 o 
 
 CD 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 3 
 
 CD 
 
 51 
 
 50.93 
 
 2.67 
 
 50.92 
 
 2.89 
 
 50.90 
 
 3.11 
 
 50.89 
 
 3.34 
 
 51 
 
 52 
 
 51.93 
 
 2.72 
 
 51.92 
 
 2.95 
 
 51.90 
 
 3.17 
 
 51.89 
 
 3.40) 52 
 
 53 
 
 52.93 
 
 2.77 
 
 52.91 
 
 3.00 
 
 52.90 
 
 3.24 
 
 52.89 
 
 3.47 
 
 52 
 
 54 
 
 53.93 
 
 2.83 
 
 53.91 
 
 3.06 
 
 53.90 
 
 3.30 
 
 53.88 
 
 3,53 
 
 54 
 
 65 
 
 54.92 
 
 2.88 
 
 54.91 
 
 3.12 
 
 54.90 
 
 3.36 
 
 54.88 
 
 3.60 
 
 55 
 
 56 
 
 55.92 
 
 2.93 
 
 55.91 
 
 3.17 
 
 55.90 
 
 3.42 
 
 55.88 
 
 3.66 
 
 56 
 
 57 
 
 56.92 
 
 2.98 
 
 56.91 
 
 3.23 
 
 56.89 
 
 3.48 
 
 56.88 
 
 3 73 
 
 57 
 
 58 
 
 57.92 
 
 3.04 
 
 57.91 
 
 3.29 
 
 57.89 
 
 3.54 
 
 57.88 3.79 
 
 58 
 
 59 
 
 58.92 
 
 3.09 
 
 58.91 
 
 3.34 
 
 58.89 
 
 3.60 
 
 58-87 3.86 
 
 59 
 
 60 
 
 59.92 
 
 3.14 
 
 59.90 
 
 3.40 
 
 59.89 
 
 3.66 
 
 59.87 
 
 3.92 
 
 60 
 
 61 
 
 60.92 
 
 3.19 
 
 60.90 
 
 3.46 
 
 60.89 
 
 3.72 
 
 60.87 
 
 3.99 
 
 61 
 
 62 
 
 6J.92 
 
 3.24 
 
 61.90 
 
 3.51 
 
 61.88 
 
 3.79 
 
 61.87 
 
 4.05 
 
 62 
 
 63 
 
 62.91 
 
 3.30 
 
 62.90 
 
 3.57 
 
 62.88 
 
 3.85 
 
 62,87 
 
 4.12 
 
 63 
 
 64 
 
 63.91 
 
 3.35 
 
 63.90 
 
 3.63 
 
 63.88 
 
 3.91 
 
 63.86 
 
 4.19 
 
 64 
 
 65 
 
 64.91 
 
 3.40 
 
 64.90 
 
 3.69 
 
 64.88 
 
 3.97 
 
 64.86 
 
 4.25 
 
 65 
 
 60 
 
 65.91 
 
 3.45 
 
 65.89 
 
 3.74 
 
 65.88 
 
 4.03 
 
 65.86 
 
 4.32 
 
 66 
 
 67 
 
 66.91 
 
 3.51 
 
 66.89 
 
 3.80 
 
 66.88 
 
 4 09 
 
 66.86 
 
 4.38 
 
 67 
 
 68 
 
 67.91 
 
 3.56 
 
 67.89 
 
 3.86 
 
 67.87 
 
 4.15 
 
 67.85 
 
 4.45 
 
 68 
 
 69 
 
 68.91 
 
 3.61 
 
 68.89 
 
 3.91 
 
 68.87 
 
 4.21 
 
 68.85 
 
 4.51 
 
 69 
 
 70 
 
 69.90 
 
 3.66 
 
 69.89 
 
 3.97 
 
 69.87 
 
 4.27 
 
 69.85 
 
 4.58 
 
 70 
 
 71 
 
 70.90 
 
 3.72 
 
 70.89 
 
 4.03 
 
 70.87 4.33 
 
 70.85 
 
 4.64 
 
 71 
 
 72 
 
 71.90 
 
 3.77 
 
 71.88 
 
 4.08 
 
 71.87 4.40 
 
 71.85 
 
 4.71 
 
 72 
 
 73 
 
 72.90 
 
 3.82 
 
 72.88 
 
 4.14 
 
 72.86 
 
 4.46 
 
 72.84 
 
 4.77 
 
 73 
 
 74 
 
 73.90 
 
 3.87 
 
 73.88 
 
 4.20 
 
 73.86 
 
 4.52 
 
 73.84 
 
 4.84 
 
 74 
 
 75 
 
 74 . 90 
 
 3.93 
 
 74.88 
 
 4.25 
 
 74.86 4.58 
 
 74.84 
 
 4.91 
 
 75 
 
 76 
 
 75.90 
 
 3.98 
 
 75.88 
 
 4.31 
 
 75 861 4.64 
 
 75.84 
 
 4.97 
 
 76 
 
 77 
 
 76.89 
 
 4.03 
 
 76.88 
 
 4.37 
 
 76.86 
 
 4.70 
 
 76.84 
 
 5.04 
 
 77 
 
 78 
 
 77.89 
 
 4.08 
 
 77.87 
 
 4.42 
 
 77.85 
 
 4.76 
 
 77.83 
 
 5. JO 
 
 78 
 
 79 
 
 78.89 
 
 4.13 
 
 78.87 
 
 4.48 
 
 78.85 
 
 4.82 
 
 78.83 
 
 5.17 
 
 79 
 
 80 
 
 79.89 
 
 4.19 
 
 79.87 
 
 4.54 
 
 79.85 
 
 4.88 
 
 79.83 
 
 5.23 
 
 80 
 
 81 
 
 80.89 
 
 4.24 
 
 80.87 
 
 4.5ft 
 
 80.85 
 
 4.94 
 
 80.83 
 
 5.30 
 
 81 
 
 82 
 
 81.89 
 
 4.29 
 
 81.87 
 
 4.66 
 
 81.85 
 
 5.01 
 
 81.82 
 
 5.36 
 
 82 
 
 83 
 
 82.89 
 
 4.34! 
 
 82.87 
 
 4.71 
 
 82.85 
 
 5.07 
 
 82.82 
 
 5.43 
 
 83 
 
 84 
 
 83.88 
 
 4.40; 
 
 83.86 
 
 4 76 
 
 83.84 
 
 5.13 
 
 83.82 
 
 5.49 
 
 84 
 
 85 
 
 84.88 
 
 4.45 
 
 84.86 
 
 4.82 
 
 84.84 
 
 5.19 
 
 84.82 
 
 5.56 
 
 85 
 
 86 
 
 85.88 
 
 4.50| 85.86 
 
 4 88 
 
 85.84 
 
 5.25 
 
 85.82 
 
 5 . 62 
 
 86 
 
 87 
 
 86.88 
 
 4.55|| 86.86 
 
 4.93 
 
 86.84 
 
 5.31 
 
 80.81 
 
 5.69 
 
 87 
 
 88 
 
 87.88 
 
 4.61 ! 87.86 4.99 
 
 87.84 
 
 5.37 
 
 87.81 
 
 5.76 
 
 88 
 
 89 
 
 88.88 
 
 4.66 ! 88.86 5.05 
 
 88.83 
 
 5.43 
 
 88.81 
 
 5.82 
 
 89 
 
 90 
 
 89.88 
 
 4.71 |! 89.86 
 
 5.10 
 
 89.83 
 
 5.49 
 
 89.81 
 
 5.89 
 
 90 
 
 91 
 
 90.88 
 
 4.^6 il 90.85 
 
 o . 1 6 
 
 90.83 
 
 5.56 
 
 90.81 
 
 5.95 
 
 91 
 
 92 
 
 91.87 
 
 4.81 ! 91.85 
 
 5.22 
 
 91.83 
 
 5.62 
 
 91.80 
 
 6.02 
 
 92 
 
 93 
 
 92.87 
 
 4.871 92.85 
 
 5.27 
 
 92.83 
 
 5.68 
 
 92.80 
 
 6.08 
 
 93 
 
 94 
 
 93.87 
 
 4.92, 93.8.5 
 
 5.33 
 
 93.82 
 
 5.74 
 
 93.80 
 
 6.15 
 
 94 
 
 95 
 
 94.87 
 
 4.97 94.85 
 
 5.39 
 
 94.82 
 
 5.80 
 
 94.80 
 
 6.21 
 
 95 
 
 96 
 
 95.87 
 
 5.02JJ 95.85 
 
 5.44 
 
 95.82 
 
 5.86 
 
 95 . 79 
 
 6.28 
 
 96 
 
 97 
 
 96.87 
 
 5.08 
 
 96.84 
 
 5.50 
 
 96.82 
 
 5.92 
 
 96.79 
 
 6.34 
 
 97 
 
 98 
 
 97.87 
 
 5.13 
 
 97.84 
 
 5.56 
 
 97.82 
 
 5.98 
 
 97.79 
 
 6.41 
 
 98 
 
 99 
 
 98.86 
 
 5.18 
 
 98.84 
 
 5.61 
 
 98.82 
 
 6.04 
 
 98.79 
 
 6.47 
 
 99 
 
 100 99.86 
 
 5.23 
 
 99.84 
 
 5.67 
 
 99.81 
 
 6.10 
 
 99.79 
 
 6.54 
 
 100 
 
 s 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 c 
 
 / c 
 
 eJ 
 
 2 
 
 87 Deg. 
 
 861 Deg. 
 
 8G| Deg. 
 
 86} Deg. 
 
 fi 
 
 5 
 
10 
 
 TRAVERSE TABLE. 
 
 * 
 
 4 Deg. 
 
 4} Deg. 
 
 4-2 Deg. 
 
 4| Deg. 
 
 1 
 
 P 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 P 
 
 I 
 
 1.00 
 
 0.07 
 
 1.00 
 
 0.07 
 
 1.00 
 
 o.osl 
 
 1.00 
 
 0.08 
 
 1 
 
 2 
 
 2.00 
 
 0.14 
 
 1.99 
 
 0.15 
 
 1.99 
 
 0.16 
 
 1.99 
 
 0.17 
 
 2 
 
 3 
 
 2.99 
 
 0.21 
 
 2.99 
 
 0.22 
 
 2.99 
 
 0.24 
 
 2.99 
 
 0.25 
 
 3 
 
 4 
 
 3.99 
 
 0.28 
 
 3.99 
 
 0.30 
 
 3.99 
 
 0.31. 
 
 3.98 
 
 0.33 
 
 4 
 
 5 
 
 4.99 
 
 0.35 
 
 4.99 
 
 0.37 
 
 4.98 
 
 0.39 
 
 4.98 
 
 0.41 
 
 5 
 
 6 
 
 5.99 
 
 0.42 
 
 5.98 
 
 0.44 
 
 5.98 
 
 0.47 
 
 5.98 
 
 0.50 
 
 6 
 
 7 
 
 6.98 
 
 0.49 
 
 6.98 
 
 0.52 
 
 6.98 
 
 0.55 
 
 6.97 
 
 0.58 
 
 7 
 
 8 
 
 7.98 
 
 0.56 
 
 7.98 
 
 0.59 
 
 7.98 
 
 0.63 
 
 7.97 
 
 0.66 
 
 8 
 
 9 
 
 8.98 
 
 0.63 
 
 8.98 
 
 0.67 
 
 8.97 
 
 0.71 
 
 8.97 
 
 0.75 
 
 9 
 
 10 
 
 9.98 
 
 0.70 
 
 9.97 
 
 0.74 
 
 9.97 
 
 0.78 
 
 9.97 
 
 0.83 
 
 10 
 
 11 
 
 10.97 
 
 0.77 
 
 10.97 
 
 6.82 1 
 
 10.97 
 
 0.86 
 
 0.96 
 
 O.S1 
 
 11 
 
 12 
 
 11.97 
 
 0.84 
 
 11.97 
 
 0.89 
 
 11.96 
 
 0.94 
 
 1.96 
 
 0.99 
 
 12 
 
 13 
 
 12.97 
 
 0.91 
 
 12.96 
 
 0.96 
 
 12.96 
 
 1.02 
 
 2.96 
 
 1.08 
 
 13 
 
 14 
 
 13.97 
 
 0.98 
 
 13.96 
 
 1.C4 
 
 13.96 
 
 1.10 
 
 3.95 
 
 1.16 
 
 14 
 
 15 
 
 14.96 
 
 1.05 
 
 14.96 
 
 1.11 
 
 14.95 
 
 1.18 
 
 4.95 
 
 1.24 
 
 15 
 
 16 
 
 15.96 
 
 .12 
 
 15.96 
 
 1.19 
 
 15.95 
 
 1.26 
 
 15.95 
 
 1.32 
 
 16 
 
 17 
 
 16.96 
 
 .19 
 
 16.95 
 
 1.26 
 
 16.95 
 
 1.33 
 
 16.94 
 
 1.41 
 
 17 
 
 18 
 
 17.96 
 
 .26 
 
 17.95 
 
 1.33 
 
 17.94 
 
 1.41 
 
 17.94 
 
 1.49 
 
 18 
 
 19 
 
 18.95 
 
 .33 
 
 18.95 
 
 1.40 
 
 18.94 
 
 1.49 
 
 18.93 
 
 1.57 
 
 19 
 
 20 
 
 19.95 
 
 .40 
 
 19.95 
 
 1.48 
 
 19.94 
 
 1.57 
 
 19.93 
 
 1.66 
 
 20 
 
 21 
 
 20.95 
 
 .46 
 
 20.94 
 
 1.56 
 
 20.94 
 
 1.651 
 
 20.93 
 
 1.74 
 
 21 
 
 22 
 
 21.95 
 
 .53 
 
 21.94 
 
 1.63. 
 
 21.93 
 
 1.73 
 
 21.92 
 
 1.82 
 
 22 
 
 23 
 
 22.94 
 
 .60 
 
 22.94 
 
 1.70 
 
 22.93 
 
 1.80 
 
 22.92 
 
 1.90 
 
 23 
 
 24 
 
 23.94 
 
 .67' 
 
 23.93 
 
 1.78 
 
 23.93 
 
 1.88 
 
 23.92 
 
 1.99 
 
 24 
 
 25 
 
 24.94 
 
 .74 
 
 24.93 
 
 1.85 
 
 24.92 
 
 1.96 
 
 24.91 
 
 2.07 
 
 25 
 
 26 
 
 25.94 
 
 1.81 
 
 25.93 
 
 1.93 
 
 25.92 
 
 2.04 
 
 25.91 
 
 2.15 
 
 26 
 
 27 
 
 26.93 
 
 1.88 
 
 26.93 
 
 2.00 
 
 26.92 
 
 2.12 
 
 26.91 
 
 2.24 
 
 27 
 
 28 
 
 27.93 
 
 1.95 
 
 27.92 
 
 2.08 
 
 27.91 
 
 2.20 
 
 27.90 
 
 2.32 
 
 28 
 
 29 
 
 28.93 
 
 2.02 
 
 28.92 
 
 2.15 
 
 28.91 
 
 2.28 
 
 28.90 
 
 2.40 
 
 29 
 
 30 
 
 29.93 
 
 2.09 
 
 29.92 
 
 2.22 
 
 29.91 
 
 2.35 
 
 29.90 
 
 2.48 
 
 30 
 
 31 
 
 30.92 2.16 
 
 30.91 
 
 2.30 
 
 30.90 
 
 2.43 
 
 30.89 
 
 2.57 
 
 31 
 
 32 
 
 31.92 2.23 
 
 31.91 
 
 2.37 
 
 31.90 
 
 2.51 
 
 31.89 
 
 2.65 
 
 32 
 
 33 
 
 32.92 2.30 
 
 32 . 9 1 
 
 2.45 
 
 32.90 
 
 2.59 
 
 32.89 
 
 2.73 
 
 33 
 
 34 
 
 33.92| 2.37 
 
 33.91 
 
 2.52 
 
 33.90 
 
 2.67 
 
 33.88 
 
 2.82 
 
 34 
 
 35 
 
 34.91 
 
 2.44 
 
 34.90 
 
 2.59 
 
 34.89 
 
 2.75 
 
 34.88 
 
 2.90 
 
 35 
 
 36 
 
 35.91 
 
 2.51 
 
 35.90 
 
 2 . 07 
 
 35.89 
 
 2.82 
 
 35.88 
 
 2.98 
 
 36 
 
 37 
 
 36.91 
 
 2.58 
 
 36.90 
 
 2.74 
 
 36.89 
 
 2.90 
 
 36.87 
 
 3.06 
 
 37 
 
 38 
 
 37.91 I 2.65 
 
 37 . 90 
 
 2.82 
 
 37.88 
 
 2.98 
 
 37.87 
 
 3.15 
 
 38 
 
 39 
 
 38.90 2.72 
 
 38.89 
 
 2.89 
 
 38.88 
 
 3.06 
 
 38.87 
 
 3.23 
 
 39 
 
 40 
 
 39.90; 2.79 
 
 39.89 
 
 2.96 
 
 39.88 
 
 3.14 
 
 39.86 
 
 3.31 
 
 40 
 
 41 
 
 40.90, 2.86 
 
 40.89 
 
 3.04i 40.87 
 
 3.22 
 
 40.86 
 
 3.40 
 
 41 
 
 42 
 
 41.90 2.93 
 
 41.88 
 
 3.11 
 
 41.87 
 
 3.30 
 
 41.86 
 
 3.48 
 
 42 
 
 43 
 
 42.90 3.00 
 
 42.88 
 
 3.19 
 
 42.87 
 
 3.37 
 
 42.85 
 
 3.56 
 
 43 
 
 44 
 
 43.89, 3.07 
 
 43.88 
 
 3.26 
 
 43.86 
 
 3.45 
 
 43.85 
 
 3.64 
 
 44 
 
 45 
 
 44.89 3.14 
 
 44.88 
 
 3.33 
 
 44.86 
 
 3.53 
 
 44.85 
 
 3.73 
 
 45 
 
 46 
 
 45.89 3.21 
 
 45.87 
 
 3.41 
 
 45.86 
 
 3.61 
 
 45.84 
 
 3.81 
 
 46 
 
 47 
 
 46.89 3.28 
 
 46.87 
 
 3.48 
 
 46.86 
 
 3.69 
 
 46.84 
 
 3.89 
 
 47 
 
 48 
 
 47.88 3.35 
 
 47.87 
 
 3.56 
 
 47.80 
 
 3.77 
 
 47.84 
 
 3.97 
 
 48 
 
 49 
 
 48.88 3.42 
 
 48.87 
 
 3.63 
 
 48.85 
 
 3.84 
 
 48.83 
 
 4.06 
 
 49 
 
 50 
 
 49.88 
 
 3.49 
 
 49.86 
 
 3.71 
 
 49.85 
 
 3.92 
 
 49.83 
 
 4.14 
 
 50 
 
 I 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 .9 
 P 
 
 86 Deg. 
 
 85f Deg. 
 
 85* Deg. 
 
 85i Deg. 
 
 1 
 
TRAVERSE TABLE. 
 
 11 
 
 G 
 
 4 Deg. 
 
 4J Deg. 
 
 4i Deg. 
 
 4| Deg. 
 
 C 
 
 I 
 
 
 
 
 
 I 
 
 a 
 o 
 o 
 
 Lat. 
 
 Dcp. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 
 
 51 
 
 50.88 
 
 3.56 
 
 50.86 
 
 3.78 
 
 50.84 
 
 4.00 
 
 50.82 
 
 4.22 
 
 51 
 
 52 
 
 51.87 
 
 3.63 
 
 51.86 
 
 3.85 
 
 51.84 
 
 4.08 
 
 51.82 
 
 4.31 
 
 52 
 
 53 
 
 52.87 
 
 3.70 
 
 52.85 
 
 3.93 
 
 52.84 
 
 4.16 
 
 52.82 
 
 4.39 
 
 53 
 
 54 
 
 53.87 
 
 3.77 
 
 53.85 
 
 4.00 
 
 53.83 
 
 4.24 
 
 53.81 
 
 4.47 
 
 54 
 
 55 
 
 54.87 
 
 3.84 
 
 54.85 
 
 4.08 
 
 54.83 
 
 4.32 
 
 54.81 
 
 4.55 
 
 55 
 
 56 
 
 55.86 
 
 3.91 
 
 55.85 
 
 4.15 
 
 55.83 
 
 4.39 
 
 55.81 
 
 4.64 
 
 56 
 
 57 
 
 56 . 86 
 
 3.08 
 
 56.84- 
 
 4.22 
 
 56.82 
 
 4.47 
 
 56.80 
 
 4.72 
 
 57 
 
 58 
 
 57.86 
 
 4.05 
 
 57.84 
 
 4.30 
 
 57.82 
 
 4.55 
 
 7.80 
 
 4.80 
 
 58 
 
 59 
 
 58.86 
 
 4.12 
 
 58.84 
 
 4.37 
 
 58.82 
 
 4.63 
 
 58.80 
 
 4.89 
 
 59 
 
 60 
 
 59.85 
 
 4.19 
 
 59.84 
 
 4.45 
 
 59.82 
 
 4.71 
 
 59.79 
 
 4.97 
 
 60 
 
 61 
 
 60.85 
 
 4.26 
 
 60.83 
 
 4.52 
 
 60.81 
 
 4.79 
 
 60.79 
 
 "5.05" 
 
 61 
 
 62 
 
 61.85 
 
 4.32 
 
 61.83 
 
 4.59 
 
 61.81 
 
 4.86 
 
 61.79 
 
 5.13 
 
 62 
 
 63 
 
 62.85 
 
 4.39 
 
 62.83 
 
 4.67 
 
 62.81 
 
 4.94 
 
 62 . 78 
 
 5.22 
 
 63 
 
 64 
 
 63.84 
 
 4.46 
 
 63.82 
 
 4.74 
 
 63.80 
 
 5.02 
 
 63.78 
 
 5.30 
 
 64 
 
 65 
 
 64.84 
 
 4, 53 
 
 64.82 
 
 4.82 
 
 64.80 
 
 5.10 
 
 64.78 
 
 5.38 
 
 65 
 
 66 
 
 65.84 
 
 4.60 
 
 65.82 
 
 4.89 
 
 65.80 
 
 5.18 
 
 65.77 
 
 5.47 
 
 66 
 
 67 
 
 06. 84 
 
 4.67 
 
 66.82 
 
 4.97 
 
 66.79 
 
 5.26 
 
 66 . 77 
 
 5.55 
 
 67 
 
 68 
 
 67.83 
 
 4.74 
 
 67.81 
 
 5.04 
 
 67.79 
 
 5.34 
 
 67.77 
 
 5.63 
 
 68 
 
 69 
 
 68.83 
 
 4.81 
 
 68.81 
 
 5.11 
 
 68.79 
 
 5,41 
 
 68 . 76 
 
 5.71 
 
 69 
 
 70 
 
 69.83 
 
 4.88 
 
 69.81 
 
 6.19 
 
 69.78 
 
 5.49 
 
 69,76 
 
 5.80 
 
 70 
 
 71 
 
 70.83 
 
 4.95 
 
 70.80 
 
 5.26 
 
 70.78 
 
 5.57 
 
 70 . 76 
 
 5.88 
 
 71 
 
 72 
 
 71.82 
 
 5.02 
 
 71.80 
 
 5.34 
 
 71.78 
 
 5.65 
 
 71.75 
 
 5.98 
 
 72 
 
 73 
 
 72.82 
 
 5.09 
 
 72.80 
 
 5.41 
 
 72.77 
 
 5.73 
 
 72.75 
 
 6.04 
 
 73 
 
 74 
 
 73.82 
 
 5.16 
 
 73.80 
 
 5.48 
 
 73.77 
 
 5.81 
 
 73.75 
 
 6.13 
 
 74 
 
 75 
 
 74.82 
 
 5.23 
 
 74.79 
 
 5.56 
 
 74.77 
 
 5.88 
 
 74.74 
 
 6.21 
 
 75 
 
 76 
 
 75.81 
 
 5.30 
 
 75.79 
 
 5.63 
 
 75.77 
 
 5.96 
 
 75 . 74 
 
 6.29 
 
 76 
 
 77 
 
 76.81 
 
 5.37 
 
 76.79 
 
 5.71 
 
 76.76 
 
 6.04 
 
 76.74 
 
 6.38 
 
 77 
 
 78 
 
 77.81 
 
 5.44 
 
 77.79 
 
 5.78 
 
 77.76 
 
 6.12 
 
 77.73 
 
 6.46 
 
 78 
 
 79 
 
 78.81 
 
 5.51 
 
 78.78 
 
 5.85 
 
 78.76 
 
 6.20 
 
 78.73 
 
 6.54 
 
 79 
 
 80 
 
 79.81 
 
 5.58 
 
 79.78 
 
 5.93 
 
 79.75 
 
 6.28 
 
 79.73 
 
 6.62 
 
 8-0 
 
 81 
 
 80.80 
 
 5.65 
 
 80.78 
 
 6.00 
 
 80 . 75 
 
 6.36 
 
 80 . 72 
 
 6.71 
 
 81 
 
 82 
 
 81.80 
 
 5.72 
 
 81.78 
 
 6.08 
 
 81.75 
 
 6.43 
 
 81.72 
 
 6.79 
 
 82 
 
 83 
 
 82.80 
 
 5.79 
 
 82.77 
 
 6.15 
 
 82.74 
 
 6.51 
 
 82.71 
 
 6.87 
 
 83 
 
 84 
 
 83.80 
 
 5.86 
 
 83.77 
 
 6.23 
 
 83.74 
 
 6.59 
 
 83.71 
 
 6.96 
 
 84 
 
 85 
 
 84.79 
 
 5.93 
 
 84.77 
 
 6.30 
 
 84.74 
 
 6.67 
 
 84.71 
 
 7.04 
 
 85 
 
 86 
 
 85.79 
 
 6.00 
 
 85.76 
 
 6.37 
 
 8,->. 73 
 
 6.75 
 
 85.70 
 
 7.12 
 
 86 
 
 87 
 
 86.79 
 
 6.07 
 
 86.76 
 
 6.45 
 
 86.73 
 
 6.83 
 
 86.70 
 
 7.20 
 
 87 
 
 88 
 
 87.79 
 
 6.14 
 
 87.76 
 
 6 . 52 
 
 87.73 
 
 6.90 
 
 87.70 
 
 7.29 
 
 88 
 
 89 
 
 88.78 
 
 6.21 
 
 88.76 
 
 6.60 
 
 88.73 
 
 6.98 
 
 88.70 
 
 7.37 
 
 89 
 
 90 
 
 89.78 
 
 6.28 
 
 89.75 
 
 6.67 
 
 89.72 
 
 7.06 
 
 89.69 
 
 7.45 
 
 90 
 
 91 
 
 90.78 
 
 6.35 
 
 90.75 
 
 6.74 
 
 90.72 
 
 7.14 
 
 90.69 
 
 7.54 
 
 91 
 
 92 
 
 91.78 
 
 6.42 ! 
 
 91.75 
 
 6.82 
 
 91.72 
 
 7.22 
 
 91.68 
 
 7.62 
 
 92 
 
 93 
 
 92.77 
 
 6.49 
 
 92.74 
 
 6.89 
 
 92.71 
 
 7.30 
 
 92.68 
 
 7.70 
 
 93 
 
 94 
 
 93.77 
 
 6.56 
 
 93.74 
 
 6.97 
 
 93.71 
 
 7.38 
 
 93.68 
 
 7.78 
 
 94 
 
 95 
 
 94.77 
 
 6.63 
 
 94.74 
 
 7.04 
 
 94.71 
 
 7.45 
 
 94.67 
 
 7.87 
 
 95 
 
 96 
 
 95.77 
 
 6.70 
 
 95.74 
 
 7.11 
 
 95.70 
 
 7.53 
 
 95.67 
 
 7.95 
 
 96 
 
 97 
 
 96.76 
 
 6.77 
 
 96.73 
 
 7. IS 
 
 96.70 
 
 7.61 
 
 96.67 
 
 8.03 
 
 97 
 
 98 
 
 97.76 
 
 6.84 
 
 97.73 
 
 7.26 
 
 97.70 
 
 7.69 
 
 97.66 
 
 8.12 
 
 98 
 
 99 
 
 98.76 
 
 6.91 
 
 98.73 
 
 7.34 
 
 98.69 
 
 7.77 
 
 98.66 
 
 8.20 
 
 99 
 
 100 
 
 99.76 
 
 6.98 
 
 99.73 
 
 7.41 
 
 99.69 
 
 7.85 
 
 99.66 
 
 8.28 
 
 100 
 
 ' 
 
 o 
 ft 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 I 
 
 "rt 
 
 5 
 
 86 Deg. 
 
 85| Deg. 
 
 85 Deg. 
 
 85i Deg. 
 
 Q 
 
TKAVERSE TABLE. 
 
 
 
 
 ! ~ u - u 
 
 b 
 
 S- 
 
 Eo 
 
 5 Deg. 
 
 5{ Deg. 
 
 51 Deg. 
 
 5| Deg. 
 
 D 
 & 
 
 P 
 
 5 
 
 o 
 
 ro 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 P 
 
 1 
 
 1.00 
 
 0.09 
 
 1.00 
 
 . 09 
 
 1.00 
 
 0.10 
 
 0.99 
 
 0.10 
 
 1 
 
 2 
 
 1.99 
 
 0.17 
 
 1.99 
 
 0.18 
 
 1.99 
 
 0.19 
 
 1.99 
 
 0.20 
 
 2 
 
 3 
 
 2.99 
 
 0.28 
 
 2.99 
 
 0.27 
 
 2.99 
 
 0.29 
 
 2.98 
 
 0.30 
 
 3 
 
 4 
 
 3.98 
 
 0.35 
 
 3,98 
 
 0.37 
 
 3.98 
 
 0.38 
 
 3.98 
 
 0.40 
 
 4 
 
 5 
 
 4.98 
 
 0.44 
 
 4.98 
 
 0.46 
 
 4.98 
 
 0.48 
 
 4.97 
 
 0.50 
 
 5 
 
 6 
 
 5 . 98 
 
 0.52 
 
 5.97 
 
 0.55 
 
 5.97 
 
 0.58 
 
 5.97 
 
 0.60 
 
 6 
 
 7 
 
 6.97 
 
 0.61 
 
 6.97 
 
 0.64 
 
 6.97 
 
 0.67 
 
 6.96 
 
 0.70 
 
 7 
 
 8 
 
 7.97 
 
 0.70 
 
 7.97 
 
 0.73 
 
 7.96 
 
 0.76 
 
 7.96 
 
 0.80 
 
 8 
 
 9 
 
 8.97 
 
 0.78 
 
 8.98 
 
 0.82 
 
 8 96 
 
 0.86 
 
 8.95 
 
 0.90 
 
 9 
 
 10 
 
 9.96 
 
 0.87! 
 
 9.96 
 
 0.92 
 
 9.95 
 
 0.96 
 
 9.95 
 
 1.00 
 
 10 
 
 11 
 
 10.96 
 
 0.96! 
 
 10.95 
 
 1. 01 
 
 10.95 
 
 1.05 
 
 10.94 
 
 1.10 
 
 11 
 
 12 
 
 1 1 . 95 
 
 1.05 
 
 11.95 
 
 1.10 
 
 11.94 
 
 1.15 
 
 1 1 . 94 
 
 1.20 
 
 12 
 
 13 
 
 12.95 
 
 1.13 
 
 12.95 
 
 1.19 
 
 12.94 
 
 1.25 
 
 12.93 
 
 1.30 
 
 13 
 
 14 
 
 13.95 
 
 1.22 
 
 13.94 
 
 1.28 
 
 13.94 
 
 1.34 
 
 13.93 
 
 1.40 
 
 14 
 
 15 
 
 14.94 
 
 1.31 
 
 14.94 
 
 1.37 
 
 14.93 
 
 1.44 
 
 14.92 
 
 1.50 
 
 15 
 
 16 
 
 15.94 
 
 1.39 
 
 15.93 
 
 1.46 
 
 15.93 
 
 1.53 
 
 15.92 
 
 1.60 
 
 16 
 
 17 
 
 16.94 
 
 1.48 
 
 16.93 
 
 1.56 
 
 16.92 
 
 1.63 
 
 16.91 
 
 1.70 
 
 17 
 
 18 
 
 17.93 
 
 1.57 
 
 17.92 
 
 1.65 
 
 17.92 
 
 1.73 
 
 17.91 
 
 1.80 
 
 18 
 
 19 
 
 18.93 
 
 1.66 
 
 18.92 
 
 1.74 
 
 18.91 
 
 1.82 1 
 
 18.90 
 
 1.90 
 
 19 
 
 20 
 
 19.92 
 
 1.74 
 
 19.92 
 
 1.83 
 
 19.91 
 
 1.92 | 
 
 19/90 
 
 2.00 
 
 20 
 
 21 
 
 20.92 
 
 1.83 
 
 20.91 
 
 1.92 
 
 20.90 
 
 2.01 1 
 
 20.89 
 
 2.10 
 
 21 
 
 22 
 
 21.92 
 
 1.92 
 
 21.91 
 
 2.01 
 
 21.90 
 
 2.11 
 
 21.89 
 
 2.20 
 
 22 
 
 23 
 
 22.91 
 
 2.00< 
 
 22.90 
 
 2.10 
 
 22.89 
 
 2.20 
 
 22.88 
 
 2.30 
 
 23 
 
 24 
 
 23.91 
 
 2.09 
 
 23.90 
 
 2.20 
 
 23.89 
 
 2.30 
 
 23.88 
 
 2.40 
 
 24 
 
 25 
 
 24.90 
 
 2.18 
 
 24.90 
 
 2.29 
 
 24.88 
 
 2.40 
 
 24.87 
 
 2.50 
 
 25 
 
 26 
 
 25.90 
 
 2.27 
 
 25.89 
 
 2.38 
 
 25.88 
 
 2.49 
 
 25.87 
 
 2.60 
 
 26 
 
 27 
 
 26.90 
 
 2.35 
 
 26.89 
 
 2.47 
 
 26.88 
 
 2.59 
 
 26.86 
 
 2. .71 
 
 27 
 
 28 
 
 27.89 
 
 2.44 
 
 27.88 
 
 2.56 
 
 27.87 
 
 2.88 
 
 27.86 
 
 2.81 
 
 28 
 
 29 
 
 28.89 
 
 2.53 
 
 28.88 
 
 2.65 
 
 28.87 
 
 2.78 
 
 28 . 85 
 
 2.91 
 
 29 
 
 30 
 
 29.89 
 
 2.61 
 
 29.87 
 
 2.75 
 
 29.86 
 
 2.88 
 
 29.85 
 
 3.01 
 
 30 
 
 31 
 
 30.88 
 
 2.70 
 
 30.87 
 
 2.84 
 
 30.86 
 
 2.97 
 
 30.84 
 
 3.11 
 
 31 
 
 32 
 
 31.88 
 
 2.79 
 
 31.87 
 
 2.93 
 
 31.85 
 
 3.07 
 
 31.84 
 
 3.21 
 
 32 
 
 33 
 
 32.87 
 
 2.88 
 
 32.86 
 
 3.02 
 
 32.85 
 
 3.16 
 
 32.83 
 
 3.31 
 
 33 
 
 34 
 
 33.87 
 
 2.96 
 
 33.86 
 
 3.11 
 
 33 . 84 
 
 3.26 
 
 33.83 
 
 3.41 
 
 34 
 
 35 
 
 34.87 
 
 3.05 
 
 34.85 
 
 3 . 20 
 
 34.84 
 
 3.35 
 
 34.82 
 
 3.51 
 
 35 
 
 36 
 
 35.86 
 
 3.14 
 
 35.85 
 
 3.29 
 
 35.83 
 
 3.45 
 
 35.82 
 
 3.61 
 
 36 
 
 37 
 
 36 . 86 
 
 3.22 
 
 38.84 
 
 3.39 
 
 36.83 
 
 3.55 
 
 36.81 
 
 3.71 
 
 37 
 
 38 
 
 37.86 
 
 3.31 
 
 37.84 
 
 3.48 
 
 37 . 83 
 
 3.64 
 
 37.81 
 
 3.81 
 
 38 
 
 39 
 
 38.85 
 
 3.40 
 
 38.84 
 
 3.57 
 
 38.82 
 
 3.74 
 
 38.80 
 
 3.91 
 
 39 
 
 40 
 
 39.85 
 
 3.49 
 
 39.83 
 
 3.66 
 
 39.82 
 
 3.83 
 
 39.80 
 
 4.01 
 
 40 
 
 41 
 
 40.84 
 
 3.57 
 
 |40.83 
 
 3.75 
 
 40.81 
 
 3.93 
 
 40.79 
 
 4.J1 
 
 41 
 
 42 
 
 41.84 
 
 3.66 
 
 41.82 
 
 3.84 
 
 41.81 
 
 4.03 
 
 41.79 
 
 4.21 
 
 42 
 
 43 
 
 42.84 
 
 3.75 
 
 42.82 
 
 3.93 
 
 42.80 
 
 4.12 
 
 42.78 
 
 4.31 
 
 43 
 
 44 
 
 43.83 
 
 3.83 
 
 43.82 
 
 4.03 
 
 43.80 
 
 4.22 
 
 43.78 
 
 4.41 
 
 44 
 
 45 
 
 44.83 
 
 3.92 
 
 44.81 
 
 4.12 
 
 44.79 
 
 4.31 
 
 44.77 
 
 4.51 
 
 45 
 
 46 
 
 45.82 
 
 4.01 
 
 45.81 
 
 4.21 
 
 45.79 
 
 4.41 
 
 45.77 
 
 4.61 
 
 46 
 
 47 
 
 46.82 
 
 4.10 
 
 46.80 
 
 4.30 
 
 46.78 
 
 4.50 
 
 46.76 
 
 4.71 
 
 47 
 
 48 
 
 47.82 
 
 4.18 
 
 47.80 
 
 4.39 
 
 47.78 
 
 4.60 
 
 47.76 
 
 4.81 
 
 48 
 
 49 
 
 48.81 
 
 4.27 
 
 48.79 
 
 4.48 
 
 48.77 
 
 4.70 
 
 48.75 
 
 4.91 
 
 49 
 
 50 
 
 49.81 
 
 4.36 
 
 49.79 
 
 4.58 
 
 49.77 
 
 4.79 
 
 49.75 
 
 5.01 
 
 50 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Q> 
 
 aj 
 "en 
 
 5 
 
 85 Deg. 
 
 84| Deg. 
 
 841 Deg . 
 
 84i Deg. 
 
 1 
 
 Q 
 
 
 
 
 
 i 
 
TRAVERSE TABLE. 
 
 13 
 
 ? 
 
 5 Deg. 
 
 5| Deg. 
 
 5| Deg. 
 
 5| Deg. 
 
 1 
 
 I 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 P 
 
 51 
 
 50.81 
 
 4.44 
 
 50.79 
 
 4.67 
 
 50.77 
 
 4.89 
 
 50.74 
 
 5.11 
 
 51 
 
 52 
 
 51.80 
 
 4.53 
 
 51.78 
 
 4.76 
 
 51.76 
 
 4.98 
 
 51.74 
 
 5.21 
 
 52 
 
 53 
 
 52.80 
 
 4.62 
 
 52.78 
 
 4.85 
 
 52.76 
 
 5.08 
 
 52.73 
 
 5.31 
 
 53 
 
 54 
 
 53.79 
 
 4.71 
 
 53.77 
 
 4.94 
 
 53.75 
 
 5.18 
 
 53.73 
 
 5.41 
 
 54 
 
 55 
 
 54.79 
 
 4.79 
 
 54.77 
 
 5.03 
 
 54.75 
 
 5.27 
 
 54.72 
 
 5.51 
 
 55 
 
 56 
 
 55.79 
 
 4.88 
 
 55.77 
 
 5.12 
 
 55.74 
 
 5.37 
 
 55.72 
 
 5.61 
 
 56 
 
 57 
 
 56.78 
 
 4.97 
 
 56.76 
 
 5.22 
 
 56.74 
 
 5.46 
 
 56.71 
 
 5.71 
 
 57 
 
 58 
 
 57.78 
 
 5.06 
 
 57.76 
 
 5.31 
 
 57.73 
 
 5.56 
 
 57.71 
 
 5.81 
 
 58 
 
 69 
 
 58.78 
 
 5.14 
 
 58.75 
 
 5.40 
 
 58.73 
 
 5.65 
 
 58.70 
 
 5.91 
 
 59 
 
 60 
 
 59.77 
 
 5.23 
 
 59.75 
 
 5.49 
 
 59.72 
 
 5.75 
 
 59.70 
 
 6.01 
 
 60 
 
 61 
 
 60.77 
 
 5.32 
 
 60.74 
 
 5.58 
 
 60.72 
 
 5.85 
 
 60.69 
 
 6.11 
 
 61 
 
 62 
 
 61.76 
 
 5.40 
 
 61.74 
 
 5.67 
 
 61.71 
 
 5.94 
 
 61.69 
 
 6.21 
 
 62 
 
 63 
 
 62.76 
 
 5.49 
 
 62.74 
 
 5.76 
 
 62.71 
 
 6.04 
 
 62.68 
 
 6.31 
 
 63 
 
 64 
 
 63.76 
 
 5.58 
 
 63.73 
 
 5.86 
 
 63.71 
 
 6.13 
 
 63.68 
 
 6.41 
 
 64 
 
 65 
 
 64.75 
 
 5.67 
 
 64.73 
 
 5.95 
 
 64.70 
 
 6.23 
 
 64.67 
 
 6.51 
 
 65 
 
 66 
 
 65.75 
 
 5.75 
 
 65.72 
 
 6.04 
 
 65.70 
 
 6.33 
 
 65.67 
 
 6.61 
 
 66 
 
 67 
 
 66.75 
 
 5.84 
 
 66.72 
 
 6.13 
 
 66.69 
 
 6.42 
 
 66.66 
 
 6.71 
 
 67 
 
 G'8 
 
 67.74 
 
 5.93 
 
 67.71 
 
 6.22 
 
 67.69 
 
 6.52 
 
 67.66 
 
 6.81 
 
 68 
 
 G9 
 
 68.74 
 
 6.01 
 
 68.71 
 
 6-31 
 
 68.68 
 
 6.61 
 
 68.65 
 
 6.91 
 
 69 
 
 70 
 
 69.73 
 
 6.10 
 
 69.71 
 
 6 41 
 
 69.68 
 
 6.71 
 
 69.65 
 
 7,01 
 
 70 
 
 71 
 
 70.73 
 
 6.19 
 
 70.70 
 
 6 50 
 
 70.67 
 
 6.81 
 
 70.64 
 
 7.11 
 
 71 
 
 52 
 
 71.73 
 
 6.28 
 
 71.70 
 
 6 59 
 
 71.67 
 
 6.90 
 
 71.64 
 
 7.21 
 
 72 
 
 73 
 
 72.72 
 
 6.36 
 
 72.69 
 
 6 68 
 
 72.66 
 
 7.00 
 
 72.63 
 
 7.31 
 
 73 
 
 4 
 
 73.72 
 
 6.45 
 
 73.69 
 
 6 77 
 
 73.66 
 
 7.09 
 
 73.63 
 
 7.41 
 
 74 
 
 75 
 
 74.71 
 
 6.54 
 
 74.69 
 
 6^86 
 
 74.65 
 
 7.19 
 
 74.62 
 
 7.51 
 
 75 
 
 76 
 
 75.71 
 
 6.62 
 
 75.68 
 
 6 95 
 
 75.65 
 
 7.28 
 
 75.62 
 
 7.61 
 
 76 
 
 77 
 
 76.71 
 
 6.71 
 
 76.68 
 
 7.05 
 
 76.65 
 
 7.38 
 
 76.61 
 
 7.71 
 
 77 
 
 78 
 
 77.70 
 
 6.80 
 
 77.67 
 
 7-14 
 
 77.64 
 
 7.48 
 
 77.61 
 
 7.81 
 
 78 
 
 79 
 
 78.70 
 
 6.89 
 
 78.67 
 
 7 23 
 
 78.64 
 
 7.57 
 
 78.60 
 
 7.91 
 
 79 
 
 80, 
 
 79.70 
 
 6.97 
 
 79.66 
 
 7 32 
 
 79.63 
 
 7.67 
 
 79.60 
 
 8.02 
 
 80 
 
 81 
 
 80.69 
 
 7.06 
 
 80.66 
 
 7 41 
 
 80.63 
 
 7.76 
 
 80.59 
 
 8.12 
 
 81 
 
 82 
 
 81.69 
 
 7.15 
 
 81.66 
 
 7 50 
 
 81.62 
 
 7.86 
 
 81.59 
 
 8.22 
 
 82 
 
 83 
 
 82.68 
 
 7.23 
 
 82.65 
 
 7 59 
 
 82.62 
 
 7.96 
 
 82.58 
 
 8.32 
 
 83 
 
 84 
 
 83.68 
 
 7.32 
 
 83.65 
 
 7-69 
 
 83.61 
 
 8.05 
 
 83.58 
 
 8.42 
 
 84 
 
 85 
 
 84.68 
 
 7.41 
 
 84.64 
 
 7.78 
 
 84.61 
 
 8.15 
 
 84.57 
 
 8.52 
 
 85 
 
 86 
 
 85.67 
 
 7.50 
 
 85.64 
 
 7.87 
 
 85.60 
 
 8.24 
 
 85.57 
 
 8.62 
 
 86 
 
 87 
 
 86.67 
 
 7.58 
 
 86.64 
 
 7.96 
 
 86.60 
 
 8.34 
 
 86.56 
 
 8.72 
 
 87 
 
 88 
 
 87.67 
 
 7.67 
 
 87.63 
 
 8.05 
 
 87.59 
 
 8.43 
 
 87.56 
 
 8.82 
 
 88 
 
 89 
 
 88.66 
 
 7.76 
 
 88.63 
 
 8.14 
 
 88.59 
 
 8.53 
 
 88.55 
 
 8.92 
 
 89 
 
 90 
 
 89.66 
 
 7.84 
 
 89.62 
 
 8.24 
 
 89.59 
 
 8.63 
 
 89.55 
 
 9.02 
 
 90 
 
 91 
 
 90.65 
 
 7.93 
 
 90.62 
 
 8.33 
 
 90.58 
 
 8.72 
 
 90.54 
 
 9.12 
 
 91 
 
 92 
 
 91.65 
 
 8.02 
 
 91.61 
 
 8.42 
 
 91.58 
 
 8.82 
 
 91.54 
 
 9.22 
 
 92 
 
 93 
 
 92.65 
 
 8.11 
 
 92.61 
 
 S.51 
 
 92.57 
 
 8.91 
 
 92.53 
 
 9.32 
 
 93 
 
 94 
 
 93.64 
 
 8.19 
 
 93.61 
 
 3.60 
 
 93.57 
 
 9.01 
 
 93.53 
 
 9.42 
 
 94 
 
 95 
 
 94.64 
 
 8.28 
 
 94.60 
 
 9.69 
 
 94.56 
 
 9.11 
 
 94.52 
 
 9.52 
 
 95 
 
 96 
 
 95.63 
 
 8.37 
 
 95.60 
 
 8.78 
 
 95.56 
 
 9.20 
 
 95.52 
 
 9.62 
 
 96 
 
 97 
 
 96.63 
 
 8.45 
 
 96.59 
 
 8.88 
 
 96.55 
 
 9.30 
 
 96.51 
 
 9.72 
 
 97 
 
 98 
 
 97.63 
 
 8.54 
 
 97.59 
 
 8.97 
 
 97.55 
 
 9.39 
 
 97.51 
 
 9.82 
 
 98 
 
 99 
 
 98.62 
 
 8.63 
 
 98.59 
 
 9.06 
 
 98.54 
 
 9.49 
 
 98.50 
 
 9.92 
 
 99 
 
 100 
 
 99.62 
 
 8.72 
 
 99.58 
 
 9.15 
 
 99.54 
 
 9.58 
 
 99.50 
 
 10.02 
 
 100 
 
 I 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 I 
 
 
 
 5 
 
 85 Deg. 
 
 84| Deg. 
 
 841 Deg. 
 
 844 Deg. 
 
 3 
 
u 
 
 TRAVERSE TABLE, 
 
 O 
 
 6 Deg. 
 
 6J Deg. 
 
 6 Deg. 
 
 G| Deg. 
 
 O 
 
 f 
 
 
 
 
 
 ? 
 a 
 n 
 
 (0 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 
 
 0.99 
 
 0.10 
 
 0.99 
 
 0.11 
 
 0.99 
 
 0.11 
 
 0.99 
 
 ~T>TT2~ 
 
 1 
 
 2 
 
 1.99 
 
 0.21 
 
 1.99 
 
 0.22 
 
 1.99 
 
 0.23 
 
 1.99 
 
 0^24 
 
 2 
 
 3 
 
 2.98 
 
 0.31 
 
 2.98 
 
 0.33 
 
 2.98 
 
 0.34 
 
 2-. 98 
 
 0.35 
 
 3 
 
 4 
 
 3.98 
 
 0.41 
 
 3.98 
 
 0.44 
 
 3.97 
 
 0.45 
 
 3.97 
 
 0.47 
 
 4 
 
 5 
 
 4.97 
 
 0.52 
 
 4.97 
 
 0.54 
 
 4.97 
 
 0.57 
 
 4.97 
 
 0.59 
 
 5 
 
 6 
 
 5.97 
 
 0.63 
 
 5.96 
 
 0.65 
 
 5.96 
 
 0.68 
 
 5.96 
 
 0.71 
 
 6 
 
 7 
 
 6.96 
 
 0.73 
 
 6.96 
 
 0.76 
 
 6.96 
 
 0.79 
 
 6.95 
 
 0.82 
 
 7 
 
 8 
 
 7.96 
 
 0.84 
 
 7.95 
 
 0.87 
 
 7.95 
 
 0.91 
 
 7.94 
 
 0.94 
 
 8 
 
 9 
 
 8.95 
 
 0.94 
 
 8.95 
 
 0.98 
 
 8.94 
 
 1.02 
 
 8.94 
 
 .06 
 
 9 
 
 10 
 
 9.95 
 
 1.05 
 
 9.94 
 
 1.09 
 
 9.94 
 
 1.13 
 
 9.93 
 
 .18 
 
 10 
 
 11 
 
 10.94 
 
 1.15 
 
 10.93 
 
 1.20 
 
 10.93 
 
 1.25 
 
 10.92 
 
 .29 
 
 11 
 
 12 
 
 11.93 
 
 1.25 
 
 11.93 
 
 1.31 
 
 11.92 
 
 1.36 
 
 11.92 
 
 .41 
 
 12 
 
 13 
 
 12.93 
 
 1.36 
 
 12.92 
 
 1.42 
 
 12.92 
 
 1.47 
 
 12.91 
 
 .53 
 
 13 
 
 14 
 
 13.92 
 
 1.46 
 
 13.92 
 
 1.52 
 
 13.91 
 
 1.59 
 
 13.90 
 
 .65 
 
 14 
 
 15 
 
 14.92 
 
 1.57 
 
 14.91 
 
 1.63 
 
 14.90 
 
 1.70 
 
 14.90 
 
 .76 
 
 15 
 
 16 
 
 15.91 
 
 1.67 
 
 15.90 
 
 1.74 
 
 15.90 
 
 1.81 
 
 15.89 
 
 .88 
 
 16 
 
 17 
 
 16.91 
 
 1.78 
 
 16.90 
 
 1.85 
 
 16.89 
 
 1.92 
 
 16.88 
 
 2.00 
 
 17 
 
 18 
 
 17.90 
 
 1.88 
 
 17.89 
 
 1 . 96 
 
 17.88 
 
 2.04 
 
 17.88 
 
 2.12 
 
 18 
 
 19 
 
 18.90 
 
 1.99 
 
 18.89 
 
 2.07 
 
 18.88 
 
 2.15 
 
 18.87 
 
 2.23 
 
 19 
 
 20 
 
 19.89 
 
 2.09 
 
 19.88 
 
 2.18 
 
 19.87 
 
 2.26 
 
 19.86 
 
 2.35 
 
 20 
 
 21 
 
 20.88 
 
 2.20 
 
 20.88 
 
 2.29 
 
 20.87 
 
 2.38 
 
 20.85 
 
 2.47 
 
 21 
 
 22 
 
 21.88 
 
 2.30 
 
 21.87 
 
 2.40 
 
 21.86 
 
 2.49 
 
 21.85 
 
 2.59 
 
 22 
 
 23 
 
 22.87 
 
 2.40 
 
 22.86 
 
 2.50 
 
 22.85 
 
 2.60 
 
 22.84 
 
 2.70 
 
 23 
 
 24 
 
 23.87 
 
 2.51 
 
 23.86 
 
 2.61 
 
 23.85 
 
 2.72 
 
 23.83 
 
 2.82 
 
 24 
 
 25 
 
 24.86 
 
 2.61 
 
 24.85 
 
 2.72 
 
 24.84 
 
 2.83 
 
 24.83 
 
 2.94 
 
 25 
 
 26 
 
 25.86 
 
 2.72 
 
 25.85 
 
 2.83 
 
 25.83 
 
 2.94 
 
 25.82 
 
 3.06 
 
 26 
 
 27 
 
 26.85 
 
 2.82 
 
 26.84 
 
 2.94 
 
 26.83 
 
 3.06 
 
 26.81 
 
 3.17 
 
 27 
 
 28 
 
 27.85 
 
 2.93 
 
 27.83 
 
 3.05 
 
 27.82 
 
 3.17 
 
 27.81 
 
 3.29 
 
 28 
 
 29 
 
 28.84 
 
 3.03 
 
 28.83 
 
 3.16 
 
 28.61 
 
 3.28 
 
 28.80 
 
 3.41 
 
 29 
 
 30 
 
 29.84 
 
 3.14 
 
 29.82 
 
 3.27 
 
 29.81 
 
 3.40 
 
 29.79 
 
 3.53 
 
 30 
 
 31 
 
 30.83 
 
 3.24 
 
 30.82 
 
 3.37 
 
 30.80 
 
 3.51 
 
 30.79 
 
 3.64 
 
 31 
 
 32 
 
 31.82 
 
 3.34 
 
 31.81 
 
 3.48 
 
 31.79 
 
 3.62 
 
 31.78 
 
 3.76 
 
 32 
 
 33 
 
 32.82 
 
 3.45 
 
 32.80 
 
 3.59 
 
 32.79 
 
 3.74 
 
 32.77 
 
 3.88 
 
 33 
 
 34 
 
 33.81 
 
 3.55 
 
 33.80 
 
 3.70 
 
 33 . 78 
 
 3.85 
 
 33.76 
 
 4.00 
 
 34 
 
 35 
 
 34.81 
 
 3.66 
 
 34.79 
 
 3.81 
 
 34.78 
 
 3.96 
 
 34.76 
 
 4.11 
 
 35 
 
 36 
 
 35.80 
 
 3.76 
 
 35.79 
 
 3.92 
 
 35.77 
 
 4.08 
 
 35,75 
 
 4.23 
 
 36 
 
 37 
 
 36.80 
 
 3.87 
 
 36.78 
 
 4.03 
 
 36.76 
 
 4.19 
 
 36.75 
 
 4.35 
 
 37 
 
 38 
 
 37.79 
 
 3.97 
 
 37.77 
 
 4.14 
 
 37.76 
 
 4.30 
 
 37.74 
 
 4.47 
 
 38 
 
 39 
 
 38.79 
 
 4.08 
 
 38.77 
 
 4.25 
 
 38 . 75 
 
 4.41 
 
 38.73 
 
 4.58 
 
 39 
 
 40 
 
 39.78 
 
 4.18 
 
 39 . 76 
 
 4.35 
 
 39.74 
 
 4.53 
 
 39.72 
 
 4.70 
 
 40 
 
 41 
 
 40.78 
 
 4.29 
 
 40.76 
 
 4.46 
 
 40 . 74 
 
 4.64 
 
 40.72 
 
 4.82 
 
 41 
 
 42 
 
 41.77 
 
 4.39 
 
 41.75 
 
 4.57 
 
 41.73 
 
 4.76 
 
 41.71 
 
 4.94 
 
 42 
 
 43 
 
 42.76 
 
 4.49 
 
 42.74 
 
 4.68 
 
 42.72 
 
 4.87 
 
 42.70 
 
 5.05 
 
 43 
 
 44 
 
 43.76 
 
 4.60 
 
 43.74 
 
 4.79 
 
 43.72 
 
 4.98 
 
 43.70 
 
 5.17 
 
 44 
 
 45 
 
 44.75 
 
 4.70 
 
 44.73 
 
 4.90 
 
 44.71 
 
 5.09 
 
 44.69 
 
 5.29 
 
 45 
 
 46 
 
 45 . 75 
 
 4.81 
 
 45.73 
 
 5.01 
 
 45.70 
 
 5.21 
 
 45.68 
 
 5.41 
 
 46 
 
 47 
 
 46.74 
 
 4.91 
 
 46.72 
 
 5.12 
 
 46.70 
 
 5.32 
 
 46.67 
 
 5.52 
 
 47 
 
 48 
 
 47.74 
 
 5.02 
 
 47.71 
 
 5.23 
 
 47.69 
 
 5.43 
 
 47.67 
 
 5.64 
 
 48 
 
 49 
 
 48.73 
 
 5.12 
 
 48.71 
 
 5.34 
 
 48.69 
 
 5.55 
 
 48.66 
 
 5.76 
 
 49 
 
 50 
 
 49.73 
 
 5.23 
 
 49.70 
 
 5.44 
 
 49.68 
 
 5.66 
 
 49.65 
 
 5.88 
 
 50 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 I 
 
 In 
 
 b 
 
 84 Deg. 
 
 83| Deg. 
 
 83 i Deg. 
 
 83J Deg. 
 
 .2 
 
 b 
 
TRAVERSE TABLE. 
 
 15 
 
 o 
 
 6 Deg. 
 
 64 Deg. 
 
 iDe g 
 
 6f Deg. 
 
 y 
 
 tn 
 
 1 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 
 
 51 
 
 50.72 
 
 5.33 
 
 50.70 
 
 5.55 
 
 50.67 
 
 5.77 
 
 50.65 
 
 5.99 
 
 51 
 
 52 
 
 51.72 
 
 5,44 
 
 51.69 
 
 5.66 
 
 51.67 
 
 5.89 
 
 M.64 
 
 6.11 
 
 52 
 
 53 
 
 52.71 
 
 5.54 
 
 52.68 
 
 5.77 
 
 52.66 
 
 6.00 
 
 52.63 
 
 6.23 
 
 53 
 
 54 
 
 53.70 
 
 5.64 
 
 53.68 
 
 5.88 
 
 53.65 
 
 6.11 
 
 53.63 
 
 6.35 
 
 54 
 
 55 
 
 54.70 
 
 5.75 
 
 54.67 
 
 5.99 
 
 54.65 
 
 6-23 
 
 54.62 
 
 6.46 
 
 55 
 
 56 
 
 55.69 
 
 5.85 
 
 55.67 
 
 6.10 
 
 55.64 
 
 6.34 
 
 55.01 
 
 6.58 
 
 56 
 
 57 
 
 56.69 
 
 5.96 
 
 56.66 
 
 6.21 
 
 56.63 
 
 6-45 
 
 56.60 
 
 6.70 
 
 57 
 
 58 ! 57.68 
 
 6.06 
 
 57.66 
 
 6.31 
 
 57.63 
 
 6-57 
 
 57.60 
 
 6.82 
 
 58 
 
 59 
 
 58.68 
 
 6.17 
 
 58.65 
 
 6.42 
 
 '58.62 
 
 6-68 
 
 58.59 
 
 6.93 
 
 59 
 
 60 
 
 59,67 
 
 6.27 
 
 59.64 
 
 6.53 
 
 59.61 
 
 6-79 
 
 59.58 
 
 7.05 
 
 60 
 
 61 
 
 60,67 
 
 6.38 
 
 60.64 
 
 6.64 
 
 60.61 
 
 6.91 
 
 60.58 
 
 7.17 
 
 61 
 
 62 
 
 61.66 
 
 6,48 
 
 61.63 
 
 6.75 
 
 61.60 
 
 V.02 
 
 61.57 
 
 7.29 
 
 62 
 
 63 
 
 62,65 
 
 6.59 
 
 62.63 
 
 6.86 
 
 62 . 60 
 
 7.13 
 
 62.56 
 
 7.40 
 
 63 
 
 64 
 
 63.65 
 
 6,69 
 
 63.62 
 
 6.97 
 
 63.59 
 
 7.25 
 
 63.56 
 
 7.52 
 
 64 
 
 65 
 
 64,64 
 
 6.79 
 
 64.61 
 
 7.08 
 
 64.58 
 
 7.36 
 
 64.55 
 
 7.64- 
 
 65 
 
 66 
 
 65.64 
 
 6.90 
 
 65.61 
 
 7.19 
 
 65.58 
 
 7.47 
 
 65.54 
 
 7.76 
 
 66 
 
 67 
 
 66.63 
 
 7.00 
 
 66.60 
 
 7.29 
 
 66.57 
 
 7 58 
 
 66.54 
 
 7.88 
 
 67 
 
 68 
 
 67.63 
 
 7.11 
 
 67.60 
 
 7.40 
 
 67.56 
 
 7.70 
 
 67.53 
 
 7.99 
 
 68 
 
 69 
 
 68.62 
 
 7.21 
 
 68 . 59 
 
 7.51 
 
 68.56 
 
 7.81 
 
 68.52 
 
 8.11 
 
 69 
 
 70 
 
 69.62 
 
 7.32 
 
 69 . 58 
 
 7.62 
 
 69 . 55 
 
 7.92 
 
 69.51 
 
 8.23 
 
 70 
 
 71 
 
 70.61 
 
 7.42 
 
 70.58 
 
 7.73 
 
 70.54 
 
 8.04 
 
 70.51 
 
 8.35 
 
 71 
 
 72 
 
 71.61 
 
 7.53 
 
 71.57 
 
 7.84 
 
 71.54 
 
 8.15 
 
 71.50 
 
 8.46 
 
 72 
 
 73 
 
 72.60 
 
 7.63 
 
 72.57 
 
 7.95 
 
 72.53 
 
 8.26 
 
 72.49 
 
 8.58 
 
 73 
 
 74 
 
 73.59 
 
 7.74 
 
 73.56 
 
 8.06 
 
 73.52 
 
 8.38 
 
 73.49 
 
 8.70 
 
 74 
 
 75 
 
 74.59 
 
 7.84 
 
 74.55 
 
 8.17 
 
 74.52 
 
 8.49 
 
 74.48 
 
 8.82 
 
 75 
 
 76 
 
 75.58 
 
 7.94 
 
 75.55 
 
 8.27 
 
 75.51 
 
 8.60 
 
 75.47 
 
 8.93 
 
 76 
 
 77 
 
 76.58 
 
 8.05 
 
 76.54 
 
 8.38 
 
 76.51 
 
 8.72 
 
 76.47 
 
 9.05 
 
 77 
 
 78 
 
 77.57 
 
 8.15 
 
 77.54 
 
 8.49 
 
 77.50 
 
 8.83 
 
 77.46 
 
 9.17 
 
 78 
 
 79 
 
 78.57 
 
 8.26 
 
 78.53 
 
 8.60 
 
 78.49 
 
 8.94 
 
 78.45 
 
 9.29 
 
 79 
 
 80 
 
 79.56 
 
 8.36 
 
 79.53 
 
 8.71 
 
 79.49 
 
 9.06 
 
 79.45 
 
 9.40 
 
 80 
 
 81 
 
 80 . 56 
 
 8.47 
 
 80.52 
 
 8.82 
 
 80.48 
 
 9.17 
 
 80.44 
 
 9.52 
 
 81 
 
 82 
 
 81.55 
 
 8.57 
 
 81.51 
 
 8.93 
 
 81.47 
 
 9.28 
 
 81.43 
 
 9.64 
 
 82 
 
 83 
 
 82 . 55 
 
 8.68 
 
 82.51 
 
 9.04 
 
 82.47 
 
 9.40 
 
 82.42 
 
 9.76 
 
 83 
 
 84 
 
 83.54 
 
 8,78 
 
 83.50 
 
 9.14 
 
 83.46 
 
 9.51 
 
 83,42 
 
 9.87 
 
 84 
 
 85 
 
 84.53 
 
 8.88 
 
 84.50 
 
 9.25 
 
 84.45 
 
 9.62 
 
 84.41 
 
 9.99 
 
 85 
 
 86 
 
 85.53 
 
 8.99 
 
 85.49 
 
 9.36 
 
 85.45 
 
 9.74 
 
 85.40 
 
 10.11 
 
 86 
 
 87 
 
 86.52 
 
 9.09 
 
 86.48 
 
 9.47 
 
 86.44 
 
 9.85 
 
 86.40 
 
 10.23 
 
 87 
 
 88 
 
 87.52 
 
 9.20 
 
 87.48 
 
 9.58 
 
 87.43 
 
 9.96 
 
 87.39 
 
 10.34 
 
 88 
 
 89 
 
 88,51 
 
 9.30 
 
 88.47 
 
 9.69 
 
 88.43 
 
 10.08 
 
 88.38 
 
 10.46 
 
 89 
 
 90 
 
 89.51 
 
 9.41 
 
 89.47 
 
 9.80 
 
 89.42 
 
 10.19 
 
 89.38 
 
 10.58 
 
 90 
 
 91 
 
 90.50 
 
 9.51 1 
 
 90.46 
 
 9.91 
 
 90.42 
 
 10.30 
 
 90.37 
 
 10.70 
 
 91 
 
 92 
 
 91.50 
 
 9.62 
 
 91.45 
 
 10.02 
 
 91.41 
 
 10.41 
 
 91.36 
 
 10.81 
 
 92 
 
 93 
 
 92.49 
 
 9.72 
 
 92.45 
 
 10.12 
 
 92.40 
 
 10.53 
 
 92.36 
 
 10.93 
 
 93 
 
 94 
 
 93.49 
 
 9.83 
 
 93.44 
 
 10.23 
 
 93.40 
 
 10.64 
 
 93.35 
 
 11.05 
 
 94 
 
 95 
 
 94.48 
 
 9.93 
 
 94.44 
 
 10.34 
 
 94.39 
 
 10.75 
 
 94.34 
 
 11.17 
 
 95 
 
 96 
 
 95.47 
 
 10.03 
 
 95.43 
 
 10.45 
 
 95.38 
 
 10.87 
 
 95.33 
 
 11.28 
 
 96 
 
 97 
 
 96.47 
 
 10.14 
 
 96.42 
 
 10.56 
 
 96.38 
 
 10.98 
 
 96.33 
 
 11.40 
 
 97 
 
 98 
 
 97.46 
 
 10.24 
 
 97.42 
 
 10.67 
 
 97.3V 
 
 11.09 
 
 97.32 
 
 11.52 
 
 98 
 
 99 
 
 98.46 
 
 10.35 
 
 98.41 
 
 10.78 
 
 98.36 
 
 11.21 
 
 98.31 
 
 11.64 
 
 99 
 
 100 
 
 99.45 
 
 10.45 
 
 99.41 
 
 10.89 
 
 99.36 
 
 11.32 
 
 99.31 
 
 11.75 
 
 100 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 83 
 
 3 
 
 84 Deg. 
 
 83| Deg. 
 
 g* 
 
 834 Deg. 
 
 1 
 
TRAVERSE TABLE- 
 
 o 
 
 ' 
 
 7 Deg. 
 
 74 Deg. 
 
 71 Deg. 
 
 71 Deg. 
 
 C 
 
 1- 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 1 
 
 0.99 
 
 0.12 
 
 0.99 
 
 0.13 
 
 0.99 
 
 0.13 
 
 0.99 
 
 0..13 
 
 1 
 
 2 
 
 1,99 
 
 0,24 
 
 1,98 
 
 0.25 
 
 1.98 
 
 0.26 
 
 1.98 
 
 0.27 
 
 2 
 
 3 
 
 2.98 
 
 0.37 
 
 2,98 
 
 0.38 
 
 2,97 
 
 0.39 
 
 2.97 
 
 0,40 
 
 3 
 
 4 
 
 3.97 
 
 0.49 
 
 3,97 
 
 0.50 
 
 3.97 
 
 0.52 
 
 3.96 
 
 0.54 
 
 4 
 
 5 
 
 4.96 
 
 0.61 
 
 4.96 
 
 0.63 
 
 4,96 
 
 0.65 
 
 4.95 
 
 0.67 
 
 5 
 
 6 
 
 5.96 
 
 0.73 
 
 5 ,95 
 
 0.76 
 
 5.95 
 
 0.78 
 
 5,95 
 
 0.81 
 
 6 
 
 7 
 
 6.95 
 
 0.85 
 
 6.94 
 
 0.88 
 
 6.94 
 
 0,91 
 
 6.94 
 
 0.94 
 
 7 
 
 8 
 
 7.94 
 
 0.97 
 
 7.94 
 
 1.01 
 
 7.93 
 
 ,04 
 
 7.93 
 
 1.08 
 
 8 
 
 9 
 
 8.93 
 
 1.10 
 
 8.93 
 
 1.14 
 
 8.92 
 
 ,17 
 
 8.92 
 
 1.21 
 
 9 
 
 10 
 
 9.93 
 
 1.22 
 
 9.92 
 
 1.26 
 
 9,91 
 
 .31 
 
 9.91 
 
 1.35 
 
 10 
 
 11 
 
 10.92 
 
 1,34 
 
 10.91 
 
 1.39 
 
 10.91 
 
 .44 
 
 10.90 
 
 1.48 
 
 11 
 
 12 
 
 11.91 
 
 1.46 
 
 11.90 
 
 1.51 
 
 11.90 
 
 .57 
 
 11.89 
 
 1.62 
 
 12 
 
 13 
 
 12,90 
 
 1,58 
 
 12.90 
 
 1.64 
 
 12.89 
 
 .70 
 
 12.88 
 
 1.75 
 
 13 
 
 14 
 
 13.90 
 
 1.71 
 
 13.89 
 
 1.77 
 
 13.88 
 
 1.83 
 
 13.87 
 
 1,89 
 
 14 
 
 15 
 
 14.89 
 
 1.83 
 
 14.88 
 
 1.89 
 
 14.87 
 
 1.96 
 
 14.86 
 
 2.02 
 
 15 
 
 16 
 
 15.88 
 
 1,95 
 
 15.87 
 
 2.02 
 
 15,86 
 
 2.09 
 
 15.85 
 
 2.16 
 
 16 
 
 17 
 
 16.87 
 
 2,07 
 
 16.86 
 
 2.15 
 
 16.85 
 
 2.22 
 
 16.84 
 
 2.29 
 
 17 
 
 18 
 
 17.87 
 
 2.19 
 
 17.86 
 
 2.27 
 
 17.85 
 
 2.35 
 
 17.84 
 
 2.43 
 
 18 
 
 19 
 
 18,86 
 
 2.32 
 
 18.85 
 
 2.40 
 
 18.84 
 
 2.48 
 
 18.83 
 
 2.56 
 
 19 
 
 20 
 
 19.85 
 
 2.44 
 
 19.84 
 
 2,52 
 
 19.83 
 
 2.61 1 
 
 19.82 
 
 2.70 
 
 20 
 
 21 
 
 20.84 
 
 2,56 
 
 20.83 
 
 2.65 
 
 20.82 
 
 2.74 
 
 20.81 
 
 2.83 
 
 21 
 
 22 
 
 21.84 
 
 2.68 
 
 21.82 
 
 2.78 
 
 21.81 
 
 2.87 
 
 21.80 
 
 2.97 
 
 22 
 
 23 
 
 22.83 
 
 2.80 
 
 22.82 
 
 2.90 
 
 22.80 
 
 3.00 
 
 22.. 79 
 
 3. JO 
 
 23 
 
 24 
 
 23.82 
 
 2.92 
 
 23.81 
 
 3,03 
 
 23,79 
 
 3.13 
 
 23.78 
 
 3.24 
 
 24 
 
 25 
 
 24.81 
 
 3.05 
 
 24.80 
 
 3.15 
 
 24.79 
 
 3.26 
 
 24.77 
 
 3.37 
 
 25 
 
 26 
 
 25.81 
 
 3.17 
 
 25.79 
 
 3.28 
 
 25.78 
 
 3.39 
 
 25.76 
 
 3.51 
 
 26 
 
 27 
 
 26.80 
 
 3.29 
 
 26.78 
 
 3.41 
 
 26.77 
 
 3.52 
 
 26.75 
 
 3.64 
 
 27 
 
 28 
 
 27.79 
 
 3.41 
 
 27.78 
 
 3.53 
 
 27.76 
 
 3.65 
 
 27,74 
 
 3.78 
 
 28 
 
 29 
 
 28.78 
 
 3.53 
 
 28.77 
 
 3.66 
 
 28.75 
 
 3.79 
 
 28.74 
 
 3.91 
 
 29 
 
 30 
 
 29.78 
 
 3.66 
 
 29.76 
 
 3.79 
 
 29.74 
 
 3.92 
 
 29 .73 
 
 4.05 
 
 30 
 
 31 
 
 30.77 
 
 3.78 
 
 30.75 
 
 3.91 
 
 30.73 
 
 4.05 
 
 30.72 
 
 4.18 
 
 31 
 
 32 
 
 31.76 
 
 3.90 
 
 31.74 
 
 4.04 
 
 31.73 
 
 4.18 
 
 31.71 
 
 4.32 
 
 32 
 
 33 
 
 32.75 
 
 4.02 
 
 32.74 
 
 4.16 
 
 32.72 
 
 4.31 
 
 32,70 
 
 4,45 
 
 33 
 
 34 
 
 33.75 
 
 4.14 
 
 33.73 
 
 4.29 
 
 33.71 
 
 4.44 
 
 33,69 
 
 4,58 
 
 34 
 
 35 
 
 34.74 
 
 4.27 
 
 34.72 
 
 4.42 
 
 34.70 
 
 4.57 
 
 34.68 
 
 4.72 
 
 35 
 
 36 
 
 35.73 
 
 4.39 
 
 35.71 
 
 4.54 
 
 35.69 
 
 4,70 
 
 35.67 
 
 4.85 
 
 36 
 
 37 
 
 36.72 
 
 4.51 
 
 36.70 
 
 4.67 
 
 36.68 
 
 4.83 
 
 36.66 
 
 4.99 
 
 37 
 
 38 
 
 37.72 
 
 4.63 
 
 37.70 
 
 4.80 
 
 37.67 
 
 4.96 
 
 37.65 
 
 5.12 
 
 38 
 
 39 
 
 38.71 
 
 4.75 
 
 38.69 
 
 4.92 
 
 38.67 
 
 5.09 
 
 38,64 
 
 5,26 
 
 39 
 
 40 
 
 39.70 
 
 4.87 
 
 39.68 
 
 5.05 
 
 39.66 
 
 5.22 
 
 39,63 
 
 5,39 
 
 40 
 
 41 
 
 40.70 
 
 5.00 
 
 40.67 
 
 5.17 
 
 40.65 
 
 5,35 
 
 40.63 
 
 5.53 
 
 41 
 
 42 
 
 41.69 
 
 5.12 
 
 41.66 
 
 5.30 
 
 41.64 
 
 5.48 
 
 41 ,62 
 
 5.66 
 
 42 
 
 43 
 
 42.68 
 
 5.24 
 
 42.66 
 
 5.43 
 
 42.63 
 
 5.61 
 
 42.61 
 
 5.80 
 
 43 
 
 44 
 
 43.67 
 
 5.36 
 
 43.65 
 
 5.55 
 
 43.62 
 
 5.74 
 
 43.60 
 
 5.93 
 
 44 
 
 45 
 
 44.67 
 
 5.48 
 
 44.64 
 
 5.68 
 
 44.62 
 
 5.87 
 
 44.59 
 
 6.0' 45 
 
 46 
 
 45.66 
 
 5.61 
 
 45.63 
 
 5.81 
 
 45.61 
 
 6.00 
 
 45.58 6.20 
 
 46 
 
 47 
 
 46.65 
 
 5.73 
 
 46.62 
 
 5.93 
 
 46.60 
 
 6.13 
 
 i 46.57 
 
 6.34 
 
 47 
 
 48 
 
 4Y.64 
 
 5.85 
 
 47.62 
 
 6.06 
 
 47,59 
 
 6.27 
 
 47.56 
 
 6.47 
 
 48 
 
 49 
 
 48.63 
 
 5.97 
 
 48.61 
 
 6.18 
 
 48,58 
 
 6,40 
 
 48.55 
 
 6.61 
 
 4c 
 
 50 
 
 49.63 
 
 6.09 
 
 49.60 
 
 6.31 
 
 49,57 
 
 6.53 
 
 49.54 
 
 6.74 
 
 50 
 
 i 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 c 
 3 
 
 C 
 
 a 
 
 s 
 
 83 Deg. 
 
 82| Deg. 
 
 82| Deg. 
 
 824 Deg. 
 
 
 
TRAVERSE TABLE. 
 
 17 
 
 o 
 
 OB* 
 
 7 Deg. 
 
 7i Deg. 
 
 H Deg. 
 
 7| Deg. 
 
 a 
 
 F 
 
 
 
 
 
 , 
 
 D 
 o 
 
 CO 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 '5 
 8 
 
 51 
 
 50.62 
 
 6.22 
 
 50.59 
 
 6.44 
 
 50.56 
 
 6.66 
 
 50.53 
 
 6.88 
 
 51 
 
 52 
 
 51.61 
 
 6.34 
 
 51.58 
 
 6.56 
 
 51.56 
 
 6.79 
 
 51.53 
 
 7.01 
 
 52 
 
 53 
 
 52.60 
 
 6.46 
 
 52.58 
 
 6.69 
 
 52.55 
 
 6.92 
 
 52.52 
 
 7.15 
 
 53 
 
 54 
 
 53.60 
 
 6.58 
 
 53,57 
 
 6.81 
 
 53.54 
 
 7.05 
 
 53.51 
 
 7.28 
 
 54 
 
 55 
 
 54.59 
 
 6.70 
 
 54.56 
 
 6.94 
 
 54.53 
 
 7.18 
 
 54.50 
 
 7.42 
 
 55 
 
 56 
 
 55.58 
 
 6.82 
 
 55.55 
 
 7.07 
 
 55.52 
 
 7.31 
 
 55.49 
 
 7.55 
 
 56 
 
 57 
 
 56.58 
 
 6.95 
 
 56.54 
 
 7.19 
 
 56.51 
 
 7.44 
 
 56.48 
 
 7.69 
 
 57 
 
 58 
 
 57.57 
 
 7.07 
 
 57.54 
 
 7.32 
 
 57.50 
 
 7.57 
 
 57.47 
 
 7.82 
 
 58 
 
 59 58.56 
 
 7.19 
 
 58.53 
 
 7.45 
 
 58.50 
 
 7.70 
 
 58.46 
 
 7.96 
 
 59 
 
 60 
 
 59.55 
 
 7,31 
 
 59.52 
 
 7.57 
 
 59.49 
 
 7.83 
 
 59.45 
 
 8.09 
 
 60 
 
 61 
 
 60.55 
 
 7.43 
 
 60.51 
 
 7.70 
 
 60.48 
 
 7.96 
 
 69.44 
 
 8.23 
 
 31 
 
 62 
 
 61.54 
 
 7.56 
 
 61.50 
 
 7.82 
 
 61.47 
 
 8.09 
 
 61.43 
 
 8.36 
 
 62 
 
 63 
 
 62.53 
 
 7.68 
 
 62.50 
 
 7.95 
 
 62.46 
 
 8.22 
 
 62.42 
 
 8.50 
 
 63 
 
 64 
 
 63.52 
 
 7.80 
 
 63.49 
 
 8. -08 
 
 63.45 
 
 8.35 
 
 63.42 
 
 8,63 
 
 64 
 
 65 
 
 64.52 
 
 7.92 
 
 64.48 
 
 8 ..20 
 
 64.44 
 
 8.48 
 
 64.41 
 
 8.77 
 
 66 
 
 66 
 
 65.51 
 
 8 .,04 
 
 65.47 
 
 8.33 
 
 65.44 
 
 8.61 
 
 65.40 
 
 8.90 
 
 66 
 
 67 
 
 66 50 
 
 8.17 
 
 66 ,46 
 
 8.46 
 
 66.43 
 
 8.75 
 
 66.39 
 
 9.04 
 
 6?7 
 
 68 
 
 67. .49 
 
 8.29 
 
 67.46 
 
 8.58 
 
 67.42 
 
 8.88 
 
 67.38 
 
 9.17 
 
 68 
 
 69 
 
 68.49 
 
 8.41 
 
 68.45 
 
 8.71 
 
 68.41 
 
 9.01 
 
 68.37 
 
 9.30 
 
 69 
 
 70 
 
 69 .48 
 
 8.53 
 
 69.44 
 
 8.83 
 
 69.40 
 
 9.14 
 
 69.36 
 
 9.44 
 
 70 
 
 71 
 
 70.47 
 
 8.65 
 
 70.43 
 
 8.96 
 
 70. 30 
 
 9.27 
 
 70.35 
 
 9.57 
 
 71 
 
 72 
 
 71.46 
 
 8.77 
 
 71.42 
 
 9.09 
 
 71.38 
 
 9.40 
 
 71.34 
 
 9.71 
 
 72 
 
 73 
 
 72.46 
 
 8.90 
 
 72.42 
 
 9.21 
 
 72 38 
 
 9.53 
 
 72.33 
 
 9.84 
 
 73 
 
 74 
 
 73.45 
 
 9.02 
 
 73.41 
 
 9.34 
 
 73.37 
 
 9.66 
 
 73.32 
 
 9.98 
 
 74 
 
 75 
 
 74.44 
 
 9.14 
 
 74.40 
 
 9.46 
 
 74.36 
 
 9.79 
 
 74.31 
 
 10.11 
 
 75 
 
 76 
 
 75.43 
 
 9.26 
 
 75.39 
 
 9.59 
 
 75.35 
 
 9.92 
 
 75.31 
 
 10.25 
 
 76 
 
 77 
 
 76.43 
 
 9.38 
 
 76.38 
 
 9. -72 
 
 76.34 
 
 10.05 
 
 76.30 
 
 10.38 
 
 77 
 
 78 
 
 77.42 
 
 9.51 
 
 77.38 
 
 9.84 
 
 77.33 
 
 10.18 
 
 77.29 
 
 10.52 
 
 78 
 
 79 
 
 78.41 
 
 9.63 
 
 78.37 
 
 9.97 
 
 78.32 
 
 10.31 
 
 78.28 
 
 10.65 
 
 79 
 
 80 
 
 79.40 
 
 9.75 
 
 79.36 
 
 10.10 
 
 79.32 
 
 10.44 
 
 79.27 
 
 10.79 
 
 80 
 
 81 
 
 80.40 
 
 9.87 
 
 80.35 
 
 10.22 
 
 80.31 
 
 10.57 
 
 80.26 
 
 10.92 
 
 81 
 
 82 
 
 81.39 
 
 9.99 
 
 81.34 
 
 10.35 
 
 81.30 
 
 10.70 
 
 81.25 
 
 11.06 
 
 82 
 
 83 
 
 82.38 
 
 10.12 
 
 82.34 
 
 10.47 
 
 82.29 
 
 10.83 
 
 82.24 
 
 11.19 
 
 83 
 
 84 
 
 83.37 
 
 10.24 
 
 83.33 
 
 10.60 
 
 83.28 
 
 10.96 
 
 83.23 
 
 11.33 
 
 84 
 
 85 
 
 84.37 
 
 10.36 
 
 84.32 
 
 10.73 
 
 84.27 
 
 11.09 
 
 84.22 
 
 11.46 
 
 85 
 
 86 
 
 85.36 
 
 10.48 
 
 85.31 
 
 10.85 
 
 85.26 
 
 11.23 
 
 85.21 
 
 11.60 
 
 86 
 
 87 
 
 86.35 
 
 10.60 
 
 86.30 
 
 10.98 
 
 86.26 
 
 11.36 
 
 86.21 
 
 11.73 
 
 87 
 
 88 
 
 87.34 
 
 10.72 
 
 87.30 
 
 11.11 
 
 87.25 
 
 11.49 
 
 87.20 
 
 11.87 
 
 88 
 
 89 
 
 88.34 
 
 10.85 
 
 88.29 
 
 11.23 
 
 88 .24 
 
 11.62 
 
 88.19 
 
 12.00 
 
 89 
 
 90 
 
 89.33 
 
 10 97 
 
 89.28 
 
 11.36 
 
 89.23 
 
 11.75 
 
 89.18 
 
 12.14 
 
 90 
 
 91 
 
 90.32 
 
 11.09 
 
 90.27 
 
 11.48 
 
 90.22 
 
 11.88 
 
 90.17 
 
 12.27 
 
 91 
 
 92 
 
 91.31 
 
 11.21 
 
 91.26 
 
 11.61 
 
 91.21 
 
 12.0-1 
 
 91.16 
 
 12.41 
 
 92 
 
 93 
 
 92.31 
 
 11.33 
 
 92.26 
 
 11.74 
 
 92.20 
 
 12.14 
 
 92.15 
 
 12.54 
 
 93 
 
 94 
 
 93.30 
 
 11.46 
 
 93.25 
 
 11.86 
 
 93.20 
 
 12.27 
 
 93.14 
 
 12.68 
 
 94. 
 
 95 
 
 94.29 
 
 11.58 
 
 94.24 
 
 11.99 
 
 94 ..19 
 
 12.40 
 
 94.13 
 
 12.81 
 
 95 
 
 96 
 
 95,28 
 
 11.70 
 
 95.23 
 
 12. 12 
 
 95.18 
 
 12.53 
 
 95.12 
 
 12.95 
 
 96 
 
 97 
 
 96.28 
 
 11.82 
 
 96.22 
 
 12.24 
 
 96.17 
 
 12.66 
 
 96.11 
 
 13.08 
 
 97 
 
 98 
 
 97.27 
 
 11.94 
 
 97.22 
 
 12.37 
 
 97.16 
 
 12.79 
 
 97.10 
 
 13.22 
 
 98 
 
 99 
 
 98.26 
 
 12.07 
 
 98.21 
 
 12.49 
 
 98.15 
 
 12.92 
 
 98.10 
 
 13.35 
 
 99 
 
 100 
 
 99.25 
 
 12.19 
 
 99.20 
 
 12.62 
 
 99.14 
 
 13.05 
 
 99.09 
 
 13.49 
 
 100 
 
 | 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 p 
 
 6 
 
 I 
 
 
 
 
 
 
 
 
 
 1 
 
 
 
 
 
 Q 
 
 83 Deg. 
 
 82| Deg. 
 
 82f Deg. 
 
 82J Deg. 
 
 3 
 
TRAVERSE TABLE. 
 
 g 
 
 8 Deg. 
 
 8* Deg. 
 
 8 Deg. 
 
 8i Deg. 
 
 g 
 
 o" 
 
 
 
 
 
 1" 
 
 P 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 P 
 
 1 
 
 0.99 
 
 0.14 
 
 0.99 
 
 0.14 
 
 0.99 
 
 0.15 
 
 0.99 
 
 0.15 
 
 i 
 
 2 
 
 1.98 
 
 0.28 
 
 1.98 
 
 0.29 
 
 1.98 
 
 0.30 
 
 1.98 
 
 0.30 
 
 2 
 
 3 
 
 2.97 
 
 0.42 
 
 2.97 
 
 0.43 
 
 2.97 
 
 0.44 
 
 2.97 
 
 0.46 
 
 3 
 
 4 
 
 3. 96 
 
 0.56 
 
 3.96 
 
 0.57 
 
 3.96 
 
 0.59 
 
 3.95 
 
 0.61 
 
 4 
 
 5 
 
 4.95 
 
 0.70 
 
 4.95 
 
 0.72 
 
 4.95 
 
 0.74 
 
 4.94 
 
 0.76 
 
 5 
 
 6 
 
 5.94 
 
 0.84 
 
 5.94 
 
 0.86 
 
 5.93 
 
 0.89 
 
 5.93 
 
 0.91 
 
 6 
 
 7 
 
 6.93 
 
 0.97 
 
 6.93 
 
 1.00 
 
 6.92 
 
 .03 
 
 6.92 
 
 1.06 
 
 7 
 
 8 
 
 7.92 
 
 1.11 
 
 7.92 
 
 1.15 
 
 7.91 
 
 .18 
 
 7.91 
 
 1.22 
 
 8 
 
 9 
 
 8.91 
 
 1.25 
 
 8.91 
 
 1 . 29' 
 
 8.90 
 
 .33 
 
 8.90 
 
 1.37 
 
 9 
 
 10 
 
 9.90 
 
 .39 
 
 9.90 
 
 1.43 
 
 9.89 
 
 .48 
 
 9.88 
 
 1.52 
 
 10 
 
 11 
 
 10.89 
 
 .53 
 
 10.89 
 
 1.58 
 
 10.88 
 
 .63 
 
 10.87 
 
 1.67 
 
 11 
 
 12 
 
 11.88 
 
 .67 
 
 11.88 
 
 1.72 
 
 11.87 
 
 .77 
 
 11.86 
 
 1.83 
 
 12 
 
 13 
 
 12.87 
 
 1.81 
 
 12.87 
 
 1 . 87 
 
 12.86 
 
 1.92 
 
 12.85 
 
 1.98 
 
 .13 
 
 14 
 
 13.86 
 
 1.95 
 
 13.86 
 
 2.01 
 
 13.85 
 
 2.07 
 
 13.84 
 
 2.13 
 
 14 
 
 15 
 
 14.85 
 
 2.09 
 
 14.85 
 
 2-15 
 
 14.84 
 
 2.22 
 
 14.83 
 
 2.28 
 
 15 
 
 16 
 
 15.84 
 
 2.23 
 
 15.84 
 
 2.30 
 
 15.82 
 
 2.36 
 
 15.81 
 
 2.43 
 
 16 
 
 17 
 
 16.83 
 
 2.37 
 
 16.83 
 
 2.44 
 
 16.81 
 
 2.51 
 
 16.80 
 
 2.59 
 
 17 
 
 IS 
 
 17.82 
 
 2.51 
 
 17.81 
 
 2.58 
 
 17.80 
 
 2.66 
 
 17.79 
 
 2.74 
 
 18 
 
 19 
 
 18.82 
 
 2.64 
 
 18.80 
 
 2.73 
 
 18.7? 
 
 2.81 
 
 18,78 
 
 2.89 
 
 19 
 
 20 
 
 19.81 
 
 2.78 
 
 19.79 
 
 2.87 
 
 19.78 
 
 2.96 
 
 19.77 
 
 3.04 
 
 20 
 
 21 
 
 20.80 
 
 2.92 
 
 20.78 
 
 3.01 
 
 20 . 77 
 
 3.10 
 
 20.76 
 
 3.19 
 
 21 
 
 22 
 
 21.79 
 
 3.06 
 
 21.77 
 
 3.16 
 
 21.76 
 
 3.25 
 
 21.74 
 
 3 . 35 
 
 22 
 
 23 
 
 22.78 
 
 3.20 
 
 22.76 
 
 3.30 
 
 22 . 75 
 
 3.40 
 
 22.73 
 
 3.50 
 
 23 
 
 24 
 
 23.77 
 
 3.34 
 
 23.75 
 
 3.44 
 
 23.74 
 
 3.55 
 
 23.72 
 
 3.65 
 
 24 
 
 25 
 
 24.76 
 
 3.48 
 
 24.74 
 
 3.59 
 
 24.73 
 
 3.70 
 
 24.71 
 
 3.80 
 
 25 
 
 26 
 
 25 . 75 
 
 3.62 
 
 25.73 
 
 3.73 
 
 25.71 
 
 3.84 
 
 25 . 70 
 
 3.96 
 
 26 
 
 27 
 
 26.74 
 
 3.76 
 
 26.72 
 
 3.87 
 
 26.70 
 
 3.99 
 
 26.69 
 
 4.11 
 
 27 
 
 28 
 
 27.73 
 
 3.90 
 
 27.71 
 
 4.02 
 
 27.69 
 
 4.14 
 
 27.67 
 
 4.26 
 
 28 
 
 29 
 
 28 . 72 
 
 4.04 
 
 28.70 
 
 4.16 
 
 28 . 68 
 
 4.29 
 
 28.66 
 
 4.41- 
 
 29 
 
 30 
 
 29.71 
 
 4.18 
 
 29.69 
 
 4.30 
 
 29.67 
 
 4.43 
 
 29 . 65 
 
 4.56 
 
 30 
 
 31 
 
 30.70 
 
 4.31 
 
 30.68 
 
 4.45 
 
 30.66 
 
 4.58 
 
 30.64 
 
 4.72 
 
 31 
 
 32 
 
 31.69 
 
 4.45 
 
 31.67 
 
 4.59 
 
 31.65 
 
 4.73 
 
 31.63 
 
 4.87 
 
 32 
 
 33 
 
 32.68 
 
 4.59 
 
 32 . 66 
 
 4.74 
 
 32 . 64 
 
 4.88 
 
 32 . 62 
 
 5.02 
 
 33 
 
 34 
 
 33.67 
 
 4.73 
 
 33.65 
 
 4.88 
 
 33.63 
 
 5.03 
 
 33.60 
 
 5.17 
 
 34 
 
 35 
 
 34.66 
 
 4.87 
 
 34.64 
 
 5.02 
 
 34.62 
 
 5.17 
 
 34.59 
 
 5.32 
 
 35 
 
 36 
 
 35.65 
 
 5.01 
 
 35.63 
 
 5.17 
 
 35.60 
 
 5.32 
 
 3.5 . 58 
 
 5.48 
 
 36 
 
 37 
 
 36 . 64 
 
 5 . 15 
 
 36.62 
 
 5.31 
 
 36.59 
 
 5.47 
 
 36.57 
 
 5.63 
 
 37 
 
 38 
 
 37.63 
 
 5.29 
 
 37.61 
 
 5.45 
 
 37 . 58 
 
 5.62 
 
 37.56 
 
 5.78 
 
 38 
 
 39 
 
 38.62 
 
 5.43 
 
 38.60 
 
 5.60 
 
 38 . 57 
 
 5.76 
 
 38.55 
 
 5.93 
 
 39 
 
 40 
 
 39.61 
 
 5.57 
 
 39.59 
 
 5.74 
 
 39.56 
 
 5.91 
 
 39 . 53 
 
 6.08 
 
 40 
 
 41 
 
 40.60 
 
 5.71 
 
 40.58 
 
 5.88 
 
 40.55 
 
 6.06 
 
 40.52 
 
 6.24 
 
 41 
 
 42 
 
 41.59 
 
 5.85 
 
 41.57 
 
 6.03 
 
 41.54 
 
 6.21 
 
 41.51 
 
 6.39 
 
 42 
 
 43 
 
 42.58 
 
 5.98 
 
 42.56 
 
 6.17 
 
 42.53 
 
 6.36 
 
 42.50 
 
 6.54 
 
 43 
 
 44 
 
 43.57 
 
 6.12 
 
 43.54 
 
 6.31 
 
 43 . 52 
 
 6.50 
 
 43.49 
 
 ' 6.69 
 
 44 
 
 45 
 
 44.56 
 
 6.26 
 
 44.53 
 
 6.46 
 
 44.51 
 
 6.65 
 
 44.48 
 
 6.85 
 
 45 
 
 46 
 
 45.55 
 
 6.40 
 
 45.52 
 
 6.60 
 
 45.49 
 
 6.80 
 
 45.46 
 
 7.00 
 
 46 
 
 47 
 
 46.54 
 
 6.54 
 
 46.51 
 
 6.74 
 
 46.48 
 
 6.95 
 
 46.45 
 
 7.15 
 
 47 
 
 48 
 
 47.53 
 
 6.68 
 
 47.50 
 
 6.89 
 
 47.47 
 
 7.09 
 
 47.44 
 
 7.30 
 
 48 
 
 49 
 
 48.52 
 
 6.82 
 
 48.49 
 
 7.03 
 
 48.46 
 
 7.24 
 
 48.43 
 
 7.45 
 
 49 
 
 50 
 
 49.51 
 
 6.96 
 
 49.48 
 
 7.17 
 
 49.45 
 
 7.39 
 
 49.42 
 
 7.61 
 
 50 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep- 
 
 Lat. 
 
 1 
 
 3 
 
 
 
 
 
 +J 
 
 1 
 
 82 Deg. 
 
 81| Deg. 
 
 8UDe g . 
 
 81t Deg. 
 
 M 
 
 P 
 
TKAVERSE TABLE. 
 
 c 
 
 8 Deg. 
 
 84 Deg. 
 
 i Deg. 
 
 fc} Deg. 
 
 b 
 
 5' 
 
 p 
 
 
 
 
 
 P 
 
 p 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 P 
 
 51 
 
 50.50 
 
 7.10 
 
 5fr.47 
 
 7.32 
 
 50.44 
 
 7.54 
 
 50.41 
 
 7.76 
 
 51 
 
 52 
 
 51.49 
 
 7.24 
 
 51.46 
 
 7.46 
 
 51.43 
 
 7.69 
 
 51.39 
 
 7.91 
 
 52 
 
 53 
 
 52.48 
 
 7.38 
 
 52.45 
 
 7.61 
 
 52.42 
 
 7.83 
 
 52.38 
 
 8.06 
 
 53 
 
 54 
 
 53.47 
 
 7.52 
 
 53.44 
 
 7.75 
 
 53.41 
 
 7.98 
 
 53.37 
 
 8.21 
 
 54 
 
 55 
 
 54.46 
 
 7.65 
 
 54.43 
 
 7.89 
 
 54.40 
 
 8.13 
 
 54.36 
 
 8.37 
 
 55 
 
 56 
 
 55.46 
 
 7.79 
 
 55.42 
 
 8.04 
 
 55.38 
 
 8.28 
 
 55.35 
 
 8.52 
 
 56 
 
 57 
 
 56.45 
 
 7.93 
 
 56.41 
 
 8.18 
 
 56.37 
 
 8.43 
 
 56.34 
 
 8.67 
 
 57 
 
 58 
 
 57.44 
 
 8.07 
 
 57.40 
 
 8.32 
 
 57.36 
 
 8.57 
 
 57.32 
 
 8.82 
 
 58 
 
 59 
 
 58.43 
 
 8.21 
 
 58.39 
 
 8.47 
 
 58.35 
 
 8.72 
 
 58.31 
 
 8.98 
 
 59 
 
 60 
 
 59.42 
 
 8.35 
 
 59.38 
 
 8.61 
 
 59.34 
 
 8.87 
 
 59.30 
 
 9.13 
 
 60 
 
 61 
 
 60.41 
 
 8.49 
 
 60.37 
 
 8.75 
 
 60.33 
 
 9.02 
 
 60.29 
 
 9.28 
 
 61 
 
 62 
 
 61.40 
 
 8.63 
 
 61.36 
 
 8.90 
 
 61.32 
 
 9.16 
 
 61.28 
 
 9.43 
 
 62 
 
 63 
 
 62.39 
 
 8.77 
 
 62.35 
 
 9.04 
 
 62.31 
 
 9.31 
 
 62.27 
 
 9.58 
 
 63 
 
 64 
 
 63.38 
 
 8.91 
 
 63.34 
 
 9.18 
 
 63.30 
 
 9.46 
 
 63.26 
 
 9.74 
 
 64 
 
 65 
 
 64.37 
 
 9.05 
 
 64.33 
 
 9.33 
 
 64.29 
 
 9.61 
 
 64.24 
 
 9.89 
 
 65 
 
 66 
 
 65.36 
 
 9.19 
 
 65.32 
 
 9.47 
 
 65.28 
 
 9.76 
 
 65.23 
 
 10.04 
 
 66 
 
 67 
 
 66.35 
 
 9.32 
 
 66.31 
 
 9.61 
 
 66.26 
 
 9.90 
 
 66.22 
 
 10.19 
 
 67 
 
 68 
 
 67.34 
 
 9.46 
 
 67.30 
 
 9.76 
 
 67.25 
 
 10.05 
 
 67.21 
 
 10.34 
 
 68 
 
 69 
 
 68.33 
 
 9.60 
 
 68.29 
 
 9.90 
 
 68.24 
 
 10.20 
 
 68.20 
 
 10.50 
 
 69 
 
 70 
 
 69.32 
 
 9.74 
 
 69.28 
 
 10.04 
 
 69.23 
 
 10.35 
 
 69.19 
 
 10-.65J 70 
 
 71 
 
 70.31 
 
 9.88 
 
 70.27 
 
 10.19 
 
 70.22 
 
 10.49 
 
 70.17 
 
 10.80 
 
 71 
 
 72 
 
 71.30 
 
 10.02 
 
 71.25 
 
 10.33 
 
 71.21 
 
 10.64 
 
 71.16 
 
 10.95 
 
 72 
 
 73 
 
 72.29 
 
 10.16 
 
 72.24 
 
 10.47 
 
 72.20 
 
 10.79 
 
 72.15 
 
 11.10 
 
 73 
 
 74 
 
 73.28 
 
 10.30 
 
 73.23 
 
 10.62 
 
 73.19 
 
 10.94 
 
 73.14 
 
 11.26 
 
 74 
 
 75 
 
 74.27 
 
 10.44 
 
 74.22 
 
 10.76 
 
 74.18 
 
 11.09 
 
 74.13 
 
 11.41 
 
 75 
 
 78 
 
 75.26 
 
 10.58 
 
 75.21 
 
 10.91 
 
 75.17 
 
 11.23 
 
 75.12 
 
 11.56 
 
 76 
 
 77 
 
 76.25 
 
 10.72 
 
 76.20 
 
 11.05 
 
 76.15 
 
 11.38 
 
 76.10 
 
 11.71 
 
 77 
 
 78 
 
 77.24 
 
 10.86 
 
 77.19 
 
 11.19 
 
 77.14 
 
 11.53 
 
 77.09 
 
 11.87 
 
 78 
 
 79 
 
 78,23 
 
 10.99 
 
 78.18 
 
 11.34 
 
 78.13 
 
 11.68 
 
 78.08 
 
 12.02 
 
 79 
 
 80 
 
 79.22 
 
 11.13 
 
 79.17 
 
 11.48 
 
 79.12 
 
 11.82 
 
 79.07 
 
 12.17 
 
 80 
 
 81 
 
 80.21 
 
 11.27 
 
 80.16 
 
 11.62 
 
 80.11 
 
 11.97 
 
 80.06 
 
 12.32" 
 
 81 
 
 82 
 
 81.20 
 
 11.41 
 
 81.15 
 
 11.77 
 
 81.10 
 
 12.12 
 
 81.05 
 
 12.47 
 
 82 
 
 83 
 
 82.19 
 
 11.55 
 
 82.14 
 
 11.91 
 
 82.09 
 
 12.27 
 
 82.03 
 
 12.63 
 
 83 
 
 84 
 
 83.18 
 
 11.69 
 
 83.13 
 
 12.05 
 
 83.08 
 
 12.42 
 
 83.02 
 
 12.78 
 
 84 
 
 85 
 
 84.17 
 
 11.83 
 
 84.12 
 
 12.20 
 
 84.07 
 
 12.56 
 
 84.01 
 
 12.93 
 
 85 
 
 86 
 
 85.16 
 
 11.97 
 
 85.11 
 
 12.34 
 
 85.06 
 
 12.71 
 
 85.00 
 
 13.08 
 
 86 
 
 87 
 
 86.15 
 
 12.11 
 
 86.10 
 
 12.48 
 
 86.04 
 
 12.86 
 
 85.99 
 
 13.23 
 
 87 
 
 88 
 
 87.14 
 
 12.25 
 
 87.09 
 
 12.63 
 
 87.03 
 
 13.01 
 
 86.98 
 
 13.39 
 
 88 
 
 89 
 
 88.13 
 
 12.39 
 
 88.08 
 
 12.77 
 
 88.02 
 
 13.16 
 
 87.96 
 
 13.54 
 
 89 
 
 90 
 
 89.12 
 
 12.53 
 
 89.07 
 
 12.91 
 
 89.01 
 
 13.30 
 
 88.95 
 
 13.69 
 
 90 
 
 31 
 
 90.11 
 
 12.66 
 
 ~90706 
 
 13.06 
 
 90.00 
 
 13.45 
 
 89.94 
 
 13.84 
 
 91 
 
 92 
 
 91.10 
 
 12.80 
 
 91.05 
 
 13.20 
 
 90.99 
 
 13.60 
 
 90.93 
 
 14.00 
 
 92 
 
 93 
 
 92.09 
 
 12.94 
 
 92.04 
 
 13.34 
 
 91.98 
 
 13.75 
 
 91.92 
 
 14.15 
 
 93 
 
 94 
 
 93.09 
 
 13.08 
 
 93.03 
 
 13.49 
 
 92.97 
 
 13.89 
 
 92.91 
 
 14.30 
 
 94 
 
 95 
 
 94.08 
 
 13.22 
 
 94.02 
 
 13.63 
 
 93.96 
 
 14.04 
 
 93.89 
 
 14.45 
 
 95 
 
 96 
 
 95.07 
 
 13.36 
 
 95.01 
 
 13.78 
 
 94.95 
 
 14.19 
 
 94.88 
 
 14.60 
 
 96 
 
 97 
 
 96.06 
 
 13.50 
 
 96.00 
 
 13.92 
 
 95.93 
 
 14.34 
 
 95.87 
 
 14.76 
 
 97 
 
 98 
 
 97.05 
 
 13.64 
 
 96.99 
 
 14.06 
 
 96.92 
 
 14.49 
 
 96.86 
 
 14.91 
 
 98 
 
 99 
 
 98.04 
 
 13.78 
 
 97.98 
 
 14.21 
 
 97.91 
 
 14.63 
 
 97.85 
 
 15.06 
 
 99 
 
 100 
 
 99.03 
 
 13.92 
 
 98.97 
 
 14.35 
 
 98.90 
 
 14.78 
 
 98.84 
 
 15.21 
 
 100 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 c3 
 
 ."s 
 Q 
 
 82 Dog. 
 
 81| Deg. 
 
 81 Deg. 
 
 814 Deg. 
 
 1 
 
TRAVERSE TABLE. 
 
 o 
 
 9 Deg. 
 
 9$ Deg. 
 
 91 Deg. 
 
 9-! Deg. 
 
 C 
 
 ES' 
 
 
 
 
 
 w 
 
 CJ 
 (P 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 o 
 
 ~T 
 
 0.99 
 
 0.16 
 
 0.99 
 
 0.16 
 
 0.99 
 
 0.17 
 
 0.99 
 
 0.17 
 
 1 
 
 2 
 
 1.98 
 
 0.31 
 
 1.97 
 
 0.32 
 
 1.97 
 
 0.33 
 
 1.97 
 
 0.34 
 
 2 
 
 3 
 
 2.96 
 
 0.47 
 
 2.96 
 
 0.48 
 
 2.96 
 
 0.50 
 
 2.96 
 
 0.51 
 
 3 
 
 4 
 
 3.95 
 
 0.63 
 
 3.95 
 
 0.64 
 
 3.95 
 
 0.66 
 
 3.94 
 
 0.68 
 
 4 
 
 5 
 
 4 . 94 
 
 0.78 
 
 4.93 
 
 0.80 
 
 4.93 
 
 0.83 
 
 4.93 
 
 0.85 
 
 5 
 
 6 
 
 5,93 
 
 0.94 
 
 5.92 
 
 0.96 
 
 5.92 
 
 0.99 
 
 5.91 
 
 1.02 
 
 6 
 
 7 
 
 6.91 
 
 1.10 
 
 6.91 
 
 .13 
 
 6.90 
 
 1.16 
 
 6.90 
 
 1.19 
 
 7 
 
 8 
 
 7.90 
 
 1.25 
 
 7.90 
 
 .29 
 
 7.89 
 
 1.32 
 
 7.88 
 
 1.35 
 
 8 
 
 9 
 
 8.89 
 
 1.41 
 
 8.88 
 
 .45 
 
 8.88 
 
 1.49 
 
 8.87 
 
 1.52 
 
 9 
 
 10 
 
 9.88 
 
 1.56 
 
 9.87 
 
 .61 
 
 9.86 
 
 1.65 
 
 9.86 
 
 1.69 
 
 10 
 
 11 
 
 10.86 
 
 1.72 
 
 10.86 
 
 1.77 
 
 10.85 
 
 1.82 
 
 10.84 
 
 1.86 
 
 11 
 
 12 
 
 11.85 
 
 1.88 
 
 11.84 
 
 .93 
 
 11.84 
 
 1.98 
 
 11.83 
 
 2.03 
 
 12 
 
 13 
 
 12.84 
 
 2.03 
 
 12.83 
 
 2.09 
 
 12.82 
 
 2.15 
 
 12.81 
 
 2.20 
 
 13 
 
 14 
 
 13.83 
 
 2.19 
 
 13.82 
 
 2.25 
 
 13.81 
 
 2.31 
 
 13.80 
 
 2.37 
 
 14 
 
 15 
 
 14.82 
 
 2.35 
 
 14.80 
 
 2.41 
 
 14.79 
 
 2.48 
 
 14.78 
 
 2.54 
 
 15 
 
 16 
 
 15.80 
 
 2.50 
 
 15.79 
 
 2.57 
 
 15.78 
 
 2.64 
 
 15.77 
 
 2.71 
 
 16 
 
 17 
 
 16.79 
 
 2.66 
 
 16.78 
 
 2.73 
 
 16.77 
 
 2.81 
 
 1 6 . 75 
 
 2.88 
 
 17 
 
 18 
 
 17.78 
 
 2.82 
 
 17.77 
 
 2.89 
 
 17.75 
 
 2.97 
 
 17.74 
 
 3.05 
 
 18 
 
 19 
 
 18.77 
 
 2.97 
 
 18.75 
 
 3.05 
 
 18.74 
 
 3.14 
 
 IS. 73 
 
 3.22 
 
 19 
 
 20 
 
 19.75 
 
 3.13 
 
 19.74 
 
 3.21 
 
 19.73 
 
 3.30 
 
 19.71 
 
 3.39 
 
 _20 
 
 21 
 
 20.74 
 
 3.29 
 
 20.73 
 
 3.38 
 
 20.71 
 
 3.47 
 
 20.70 
 
 3.56 
 
 21 
 
 22 
 
 21.73 
 
 3.44 
 
 21.71 
 
 3.54 
 
 21.70 
 
 3.63 
 
 21.68 
 
 3.73 
 
 22 
 
 23 
 
 22.72 
 
 3.60 
 
 22.70 
 
 3.70 
 
 22.68 
 
 3.80 
 
 22.67 
 
 3.90 
 
 23 
 
 24 
 
 23.70 
 
 3.75 
 
 23.69 
 
 3.86 
 
 23.67 
 
 3.96 
 
 23.65 
 
 4.06 
 
 24 
 
 25 
 
 24.69 
 
 3.91 
 
 24.67 
 
 4.02 
 
 24.66 
 
 4.13 
 
 24.64 
 
 4.23 
 
 25 
 
 28 
 
 25.68 
 
 4.07 
 
 25.66 
 
 4.18 
 
 25.64 
 
 4.29 
 
 25.62 
 
 4.40 
 
 26 
 
 27 
 
 26.67 
 
 4.22 
 
 26.65 
 
 4.34 
 
 26.63 
 
 4.46 
 
 26.61 
 
 4.57 
 
 27 
 
 28 
 
 27.66 
 
 4.38 
 
 27.64 
 
 4.50 
 
 27.62 
 
 4.62 
 
 27.60 
 
 4.74 
 
 28 
 
 29 
 
 28 . 64 
 
 4.54 
 
 28.62 
 
 4.66 
 
 28.60 
 
 4.79 
 
 28.58 
 
 4.91 
 
 29 
 
 30 
 
 29.63 
 
 4.69 
 
 29.61 
 
 4.82 
 
 29.59 
 
 4.95 
 
 29.57 
 
 5.08 
 
 30 
 
 31 
 
 30.62 
 
 4.85 
 
 30.60 
 
 4.98 
 
 30.57 
 
 5.12 
 
 30.55 
 
 5.25 
 
 31 
 
 32 
 
 31.61 
 
 5.01 
 
 31.58 
 
 5.14 
 
 31.56 
 
 5.28 
 
 31.54 
 
 5.42 
 
 32 
 
 33 
 
 32 . 59 
 
 5.16 
 
 32.57 
 
 5.30 
 
 32.55 
 
 5.45 
 
 32.52 
 
 5.59 
 
 33 
 
 34 
 
 33 . 58 
 
 5.32 
 
 33.56 
 
 5.47 
 
 33.53 
 
 5,61 
 
 33.51 
 
 5.76 
 
 34 
 
 35 
 
 34.57 
 
 5.48 
 
 34.54 
 
 5.63 
 
 34.52 
 
 5.78 
 
 34.49 
 
 5.93 
 
 35 
 
 38 
 
 35.56 
 
 5.63 
 
 35.53 
 
 5.79 
 
 35.51 
 
 5.94 
 
 35.48 
 
 6.10 
 
 36 
 
 37 
 
 36.54 
 
 5.79 
 
 36.52 
 
 5.95 
 
 36.49 
 
 6.11 
 
 36.47 
 
 6.27 
 
 37 
 
 38 
 
 37.53 
 
 5.94 
 
 37.51 
 
 6.11 
 
 37.48 
 
 6.27 
 
 37.45 
 
 6.44 
 
 38 
 
 39 
 
 38 . 52 
 
 6.10 
 
 38.49 
 
 6.27 
 
 38.47 
 
 6.44 
 
 38.44 
 
 6.60 
 
 39 
 
 40 
 
 39.51 
 
 6.26 
 
 39.48 
 
 6.43 
 
 39.45 
 
 6.60 
 
 39.42 
 
 6.77 
 
 40 
 
 11 
 
 40.50 
 
 6.41 
 
 40.47 
 
 6.59 
 
 40.44 
 
 6.77 
 
 40.41 
 
 6.94 
 
 41 
 
 42 
 
 41.48 
 
 6.57 
 
 41.45 
 
 6.75 
 
 41.42 
 
 6.92 
 
 41.39 
 
 7.11 
 
 42 
 
 43 
 
 42.47 
 
 6.73 
 
 42.44 
 
 6.91 
 
 42.41 
 
 7.10 
 
 42.38 
 
 7.28 
 
 43 
 
 44 
 
 43.46 
 
 6.88 
 
 43.43 
 
 7.07 
 
 43.40 
 
 7.26 
 
 43.36 
 
 7,45 
 
 44 
 
 45 
 
 44.45 
 
 7.04 
 
 44.41 
 
 7.23 
 
 44.38 
 
 7.43 
 
 44.35 
 
 7.62 
 
 45 
 
 46 
 
 45.43 
 
 7.20 
 
 45.40 
 
 7.39 
 
 45 . 37 
 
 7.59 
 
 45.34 
 
 7.79 
 
 46 
 
 47 
 
 46.42 
 
 7.35 
 
 46.39 
 
 7.55 
 
 46.36 
 
 7.76 
 
 46.32 
 
 7.96 
 
 47 
 
 48 
 
 47.41 
 
 7.51 
 
 47.38 
 
 7.72 
 
 47.34 
 
 7.92 
 
 47.31 
 
 8.13 
 
 48 
 
 49 
 
 48.40 
 
 7.67 
 
 48.36 
 
 7.88 
 
 48.33 
 
 8.09 
 
 48.29 
 
 8,30 
 
 49 
 
 50 
 
 49 . 38 
 
 7.82 
 
 49.35 
 
 8.04 
 
 49.32 
 
 8.25 
 
 49.28 
 
 8.47 
 
 50 
 
 u 
 | 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 a 
 
 c 
 
 n 
 
 CO 
 
 
 
 
 
 "M 
 
 5 
 
 81 Deg. 
 
 80| Deg. 
 
 801 Deg. 
 
 80i Deg. 
 
 3 
 
TKAVEKSE TABLE, 
 
 21 
 
 d 
 
 55 
 
 ? 
 
 9Deg. 
 
 9* Deg, 
 
 9^ Deg. 
 
 9.f Deg. 
 
 g 
 
 1' 
 
 s 
 o 
 
 CB 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 a 
 o 
 
 <B 
 
 51 
 
 50.37 
 
 7.98 
 
 50.34 
 
 8.20 
 
 50.30 
 
 8.42 
 
 50.26 
 
 8.64 
 
 ~51 
 
 52 
 
 51.36 
 
 8.13 
 
 51.32 
 
 8.36 
 
 51.29 
 
 8.58 
 
 51.25 
 
 8.81 
 
 52 
 
 53 
 
 52.35 
 
 8.29 
 
 52.31 
 
 8.52 
 
 52.27 
 
 8.75 
 
 52.23 
 
 8.98 
 
 53 
 
 54 
 
 53.34 
 
 8.45 
 
 53.30 
 
 8.68 
 
 53.26 
 
 8.91 
 
 53.22 
 
 9.14 
 
 54 
 
 55 
 
 54.32 
 
 8.60 
 
 54.28 
 
 8.84 
 
 54.25 
 
 9.08 
 
 54.21 
 
 9.31 
 
 55 
 
 56 
 
 55.31 
 
 8.76 
 
 55.27 
 
 9.ao 
 
 55.23 
 
 9.24 
 
 55.19 
 
 9.48 
 
 56 
 
 57 
 
 56.30 
 
 8.92 
 
 56.26 
 
 9.16 
 
 56.22 
 
 9.41 
 
 56.18 
 
 9.65 
 
 57 
 
 58 
 
 57.29 
 
 9.07 
 
 57.25 
 
 9.32 
 
 57.20 
 
 9,57 
 
 57.16 
 
 9.82 
 
 58 
 
 59 
 
 58.27 
 
 9.23 
 
 58.23 
 
 9.48 
 
 58.19 
 
 9.74 
 
 58.15 
 
 9.99 
 
 59 
 
 GO 
 
 59.26 
 
 9.39 
 
 59.22 
 
 9.64 
 
 59.18 
 
 9.90 
 
 59.13 
 
 10.16 
 
 60 
 
 61 
 
 60.25 
 
 9.54 
 
 60.21 
 
 9.81 
 
 60.16 
 
 10.07 
 
 60.12 
 
 10.33 
 
 6] 
 
 62 
 
 61.24 
 
 9.70 
 
 61.19 
 
 9.97 
 
 61.15 
 
 10.23 
 
 61.10 
 
 10.50 
 
 62 
 
 63 
 
 62 . 22 
 
 9.86 
 
 62.18 
 
 10.13 
 
 62.14 
 
 10.40 
 
 62.09 
 
 10.67 
 
 63 
 
 64 
 
 63.21 
 
 10.01 
 
 63.17 
 
 10.29 
 
 63.12 
 
 10.56 
 
 63.08 
 
 10.84 
 
 64 
 
 65 
 
 64.20 
 
 10.17 
 
 64.15 
 
 10.45 
 
 64.11 
 
 10.73 
 
 64.06 
 
 11.01 
 
 65 
 
 66 
 
 65.19 
 
 10.32 
 
 65.14 
 
 10.61 
 
 65.09 
 
 10.89 
 
 65.05 
 
 11.18 
 
 66 
 
 67 
 
 66.18 
 
 10.48 
 
 66.13 
 
 10.77 
 
 66.08 
 
 11.06 
 
 66.03 
 
 11.35 
 
 67 
 
 68 
 
 67.16 10.64 
 
 67.12 
 
 10.93 
 
 67.07 
 
 11.22 
 
 67.02 
 
 11.52 
 
 68. 
 
 69 
 
 68.15 
 
 10.79 
 
 68.10 
 
 11.09 
 
 68.05 
 
 11.39 
 
 68.00 
 
 11.69 
 
 69 
 
 70 
 
 69.14 
 
 10.95 
 
 69.09 
 
 11.25' 
 
 69.04 
 
 11.55 
 
 68.99 
 
 11.85 
 
 70 
 
 71 
 
 70.13. 
 
 11.11 
 
 70.08 
 
 11.41 
 
 70.03 
 
 1 1 . 72 
 
 69.97 
 
 12.02 
 
 71 
 
 72 
 
 71.11 
 
 11.26 
 
 71.06 
 
 11.57 
 
 71.01 
 
 11.88 
 
 70.96 
 
 12.19 
 
 72 
 
 73 
 
 72.10 
 
 11.42 
 
 72.05 
 
 11.73 
 
 72.00 
 
 12.05 
 
 71.95 
 
 12.36 
 
 73 
 
 74 
 
 73.09 
 
 11.58 
 
 73.04 
 
 11.89 
 
 72.99 
 
 12.21 
 
 72.93 
 
 12.53 
 
 74 
 
 75 
 
 74. OS 
 
 1 1 . 73 
 
 74.02 
 
 12.06 
 
 73.97 
 
 12.38 
 
 73.92 
 
 12.70 
 
 75 
 
 70 
 
 75.06 
 
 11.89 
 
 75.01 
 
 12.22 
 
 74.96 
 
 12.54 
 
 74.90 
 
 12.87 
 
 76 
 
 77 
 
 76.05 
 
 12.05 
 
 76.00 
 
 12.38 
 
 75.94 
 
 12.71 
 
 75.89 
 
 13.04 
 
 77 
 
 78 
 
 77.04 
 
 12.20 
 
 76 . 99 
 
 12.54 
 
 76.93 
 
 12.87 
 
 76.87 
 
 13.21 
 
 78 
 
 79 
 
 78,03 
 
 12.36 
 
 77.97 
 
 12.70 
 
 77.92 
 
 13.04 
 
 77.86 
 
 13.38 
 
 79 
 
 80 
 
 79.02 
 
 12.51 
 
 78 . 96 
 
 12.86 
 
 78.90 
 
 13.20 
 
 78.84 
 
 13.55 
 
 80 
 
 81 80.00 
 
 12.67 
 
 79 . 95 
 
 13.02" 
 
 79.89 
 
 13.37 
 
 79.83 
 
 13.72 
 
 81 
 
 82 I 80 . 99 
 
 12.83 
 
 80.93 
 
 13.18 
 
 80.88 
 
 13.53 
 
 80.82 
 
 13.89 
 
 82 
 
 83 
 
 81.98 
 
 12,98 
 
 81.92 
 
 13.34 
 
 81.86 
 
 13.70 
 
 81.80 
 
 14.06 
 
 83 
 
 84 
 
 82 . 97 
 
 13.14 
 
 82.91 
 
 13.50 
 
 82.85 
 
 13.86 
 
 82.79 
 
 14.23 
 
 84 
 
 85 183.95 
 
 13.30 
 
 83.89 
 
 13.66 
 
 S3.83 
 
 14.03 
 
 83.77 
 
 14.39 
 
 85 
 
 88 
 
 84.94 
 
 13.45 
 
 84.88 
 
 13.82 
 
 84.82 
 
 14.19 
 
 84.76 
 
 14.56 
 
 86 
 
 87 
 
 85.93 
 
 13.61 
 
 85.87 
 
 13. 9& 
 
 85.81 
 
 14.36 
 
 85 . 74 
 
 14.73 
 
 87 
 
 88 186.92 
 
 13.77 
 
 86.86 
 
 14.15 
 
 86.79 
 
 14.52 
 
 86.73 
 
 14.90 
 
 88 
 
 89 
 
 87.90 
 
 13.92 
 
 87.84 
 
 14.31 
 
 87.78 
 
 14.69 
 
 87.71 
 
 15.07 
 
 89 
 
 90 
 
 88.89 
 
 14.08 
 
 88.83 
 
 14.47 
 
 88.77 
 
 14.85 
 
 88.70 
 
 15.24 
 
 90 
 
 91 
 
 89.88 
 
 14,24 
 
 89.82 
 
 14.63 
 
 89.75 
 
 15.02 
 
 89.69 
 
 15.41 
 
 91 
 
 92 
 
 90.87 
 
 14.39 
 
 90.80 
 
 14.79 
 
 90.74 
 
 15.18 
 
 90.67 
 
 15.58 
 
 92 
 
 93 
 
 91.86 
 
 14.55 
 
 91.79 
 
 14.95 
 
 91.72 
 
 15.35 
 
 91.66 
 
 15.75 
 
 93 
 
 94 
 
 92.84 
 
 14.70 
 
 92.78 
 
 15.11 
 
 92.71 
 
 15.51 
 
 92.64 
 
 15.92 
 
 94 
 
 95 
 
 93.83 
 
 14.86 
 
 93.76 
 
 15.27 
 
 93.70 
 
 15.68 
 
 93.63 
 
 16.09 
 
 95 
 
 96 
 
 94.82 
 
 15.02 
 
 94.75 
 
 15.43 
 
 94.68 
 
 15.84 
 
 94.61 
 
 16.26 
 
 96 
 
 97 
 
 95.81 
 
 15.17 
 
 95 . 74 
 
 15.59 
 
 95.67 
 
 16.01 
 
 95.60 
 
 16.43 
 
 97 
 
 98 
 
 96.79 
 
 15.33 
 
 96.73 
 
 15.75 
 
 96.66 
 
 16.17 
 
 96.58 
 
 16.60 
 
 98 
 
 99 
 
 97.78 
 
 15.49 
 
 97.71 
 
 15.91 
 
 97.64 
 
 16.34 
 
 97.57 
 
 16.77 
 
 99 
 
 100 
 
 98.77 
 
 15.64 
 
 98.70 
 
 16.07 
 
 98.63 
 
 16.50 
 
 98.56 
 
 16.93 
 
 100 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 a 
 
 Q 
 
 81 Deg. 
 
 80| Deg. 
 
 80 Deg. 
 
 8<H Deg. 
 
 rt 
 
 .s 
 
 Q 
 
TRAVERSE TABLE. 
 
 
 
 H 
 
 
 e 
 
 
 
 p 
 
 10 Deg. 
 
 10} Deg. 
 
 J0 Deg. 
 
 10| Deg. 
 
 d 
 sr 
 
 p 
 
 3 
 o 
 
 C8 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. . 
 
 Dep. 
 
 a ; 
 
 o 
 
 CD 
 
 1 
 
 0.98 
 
 0.17 
 
 0.98 
 
 0.18 
 
 0.98 
 
 0.18 
 
 0.98 
 
 0.19 
 
 1 
 
 2 
 
 1.97 
 
 0.35 
 
 1.97 
 
 0.36 
 
 1.97 
 
 0.36 
 
 1.96 
 
 0.37 
 
 a 
 
 3 
 
 2.95 
 
 0.52 
 
 2.95 
 
 0.53 
 
 2.95 
 
 0.55 
 
 2.95 
 
 56 
 
 3 
 
 4 
 
 3.94 
 
 0.69 
 
 3.94 
 
 0.71 
 
 3.93 
 
 0.73 
 
 3.93 
 
 0.75 
 
 4 
 
 5 
 
 4.92 
 
 0.87 
 
 4.92 
 
 0.89 
 
 4.92 
 
 0.91 
 
 4.91 
 
 0.93 
 
 5 
 
 6 
 
 5.91 
 
 1.04 
 
 5.90 
 
 1.07 
 
 5.90 
 
 1.09 
 
 5.89 
 
 ] ,12 
 
 6 
 
 7 
 
 6.89 
 
 1.22 
 
 6.89 
 
 1.25 
 
 6.88 
 
 1.28 
 
 6.88 
 
 1.31 
 
 7 
 
 8 
 
 7.88 
 
 1.39 
 
 7.87 
 
 1.42 
 
 7.87 
 
 1.46 
 
 7.86 
 
 1.49 
 
 8 
 
 9 
 
 8.86 
 
 1.56 
 
 8.86 
 
 1.60 
 
 8.85 
 
 1.64 
 
 8.84 
 
 1.68 
 
 9 
 
 10 
 
 9.85 
 
 1.74 
 
 9.84 
 
 1.78 
 
 '9.83 
 
 1.82 
 
 9.82 
 
 1.87 
 
 10 
 
 11 
 
 10.83 
 
 1.91 
 
 10.82 
 
 1.96 
 
 10.82 
 
 2.00 
 
 10.81 
 
 2.05 
 
 11 
 
 12 
 
 11.82 
 
 2.08 
 
 11.81 
 
 2.14 
 
 11.80 
 
 2.19 
 
 11.79 
 
 2.24 
 
 12 
 
 13 
 
 12.80 
 
 2.26 
 
 12.79 
 
 2.31 
 
 12.78 
 
 2.37 
 
 12.77 
 
 2.42 
 
 13 
 
 14 
 
 13.79 
 
 2.43 
 
 13.78 
 
 2.49 
 
 13.77 
 
 2.55 
 
 13.75 
 
 2.61 
 
 14 
 
 15 
 
 14.77 
 
 2.60 
 
 14.76 
 
 2.67 
 
 14.75 
 
 2.73 
 
 14.74 
 
 2.80 
 
 15 
 
 16 
 
 15.76 
 
 2.78 
 
 15.74 
 
 2.85 
 
 15.73 
 
 2.92 
 
 15.72 
 
 2.98 
 
 16 
 
 17 
 
 16.74 
 
 2.95 
 
 16.73 
 
 3.03 
 
 16.72 
 
 3.10 
 
 16.70 
 
 3.J7 
 
 17 
 
 18 
 
 17.73 
 
 3.13 
 
 17.71 
 
 3.20 
 
 17.70 
 
 3.28 
 
 17.68 
 
 3.36 
 
 18 
 
 19 
 
 18.71 
 
 3.30 
 
 18.70 
 
 3.38 
 
 18.68 
 
 3.46 
 
 18.67 
 
 3.54 
 
 19 
 
 20 
 
 19.70 
 
 3.47 
 
 19.68 
 
 3.56 
 
 19.67 
 
 3.64 
 
 19.65 
 
 3.73 
 
 20 
 
 21 
 
 20.68 
 
 3.65 
 
 20.66 
 
 3.74 
 
 20.65 
 
 3.83 
 
 20.63 
 
 3.92 
 
 21 
 
 22 
 
 21.67 
 
 3.82 
 
 21.65 
 
 3.91 
 
 21.63 
 
 4.01 
 
 21.61 
 
 4.10 
 
 22 
 
 23 
 
 22 . 65 
 
 3.99 
 
 22.63 
 
 4.09 
 
 22.61 
 
 4.19 
 
 22.60 
 
 4.29 
 
 23 
 
 24 
 
 23.64 
 
 4.17 
 
 23.62 
 
 4.27 
 
 23.60 
 
 4.37 
 
 23.58 
 
 4.48 
 
 24 
 
 25 
 
 24.62 
 
 4,34 
 
 24.60 
 
 4.45 
 
 24.58 
 
 4.56 
 
 24.56 
 
 4.66 
 
 25 
 
 26 
 
 25.61 
 
 4.51 
 
 25 . 59 
 
 4.63 
 
 25.56 
 
 4.74 
 
 25.54 
 
 4.85 
 
 26 
 
 27 
 
 26.59 
 
 4.69 
 
 26.57 
 
 4.80 
 
 26.55 
 
 4.92 
 
 26.53 
 
 5.04 
 
 27 
 
 28 
 
 27.57 
 
 4.86 
 
 27.55 
 
 4.98 
 
 27.53 
 
 5.10 
 
 27.51 
 
 5.22 
 
 28 
 
 29 
 
 28.56 
 
 5.04 
 
 28.54 
 
 5.16 
 
 28.51 
 
 5.28 
 
 28.49 
 
 5.41 
 
 29 
 
 30 
 
 29.54 
 
 5.21 
 
 29.52 
 
 5.34 
 
 29.50 
 
 5.47 
 
 29.47 
 
 5.60 
 
 30 
 
 31 
 
 30.53 
 
 5.38 
 
 30.51 
 
 5.52 I 
 
 30.48 
 
 5.65 
 
 30.46 
 
 5.78 
 
 31 
 
 32 
 
 31.51 
 
 5,56 
 
 31.49 
 
 5.69 
 
 31.46 
 
 5.83 
 
 31.44 
 
 5.97 
 
 32 
 
 33 
 
 32.50 
 
 5.73 
 
 32.47 
 
 5.87 
 
 32.45 
 
 6.01 
 
 32.42 
 
 6.16 
 
 33 
 
 34 
 
 33.48 
 
 5.90 
 
 33.46- 
 
 6.05 
 
 33.43 
 
 6.20 
 
 33.40 
 
 6.34 
 
 34 
 
 35 
 
 34.47 
 
 6.08 
 
 34.44 
 
 6.23 
 
 34.41 
 
 6.38 
 
 34.39 
 
 6.53 
 
 35 
 
 36 
 
 35.45 
 
 6.25 
 
 35.43 
 
 6.41 
 
 35.40 
 
 6.56 
 
 35.37 
 
 6.71 
 
 3f> 
 
 37 
 
 36.44 
 
 6.42 
 
 36.41 
 
 6.58 
 
 36.38 
 
 6.74 
 
 36.35 
 
 6.90 
 
 37 
 
 38 
 
 37.42 
 
 6.60 
 
 37.39 
 
 6.76 
 
 37.36 
 
 6.92 
 
 37.33 
 
 7.09 
 
 38 
 
 39 
 
 38.41 
 
 6.77 
 
 38.38 
 
 6.94 
 
 38.35 
 
 7.11 
 
 38.32 
 
 7.27 
 
 39 
 
 40 
 
 39.39 
 
 6.95 
 
 39.36 
 
 7.12 
 
 39.33 
 
 7.29 
 
 39.30 
 
 7.46 
 
 40 
 
 41 
 
 40.38 
 
 7.12 
 
 40.35 
 
 7.30 
 
 40.31 
 
 7.47 
 
 40.28 
 
 7.65 
 
 41 
 
 42 
 
 41.36 
 
 7.29 
 
 41.33 
 
 7.47 
 
 41.30 
 
 7.65 
 
 41.26 
 
 7.83 
 
 42 
 
 43 
 
 42.35 
 
 7.47 
 
 42.31 
 
 7.65 
 
 42.28 
 
 7.84 
 
 42.25 
 
 8.02 
 
 43 
 
 44 
 
 43.33 
 
 7.64 
 
 43.30 
 
 7.83 
 
 43.26 
 
 8.02 
 
 43.23 
 
 8.21 
 
 44 
 
 45 
 
 44.32 
 
 7.81 
 
 44.28 
 
 8.01 
 
 44.25 
 
 8.20 
 
 44.21 
 
 8.39 
 
 45 
 
 46 
 
 45.30 
 
 7.69 
 
 45.27 
 
 8.19 
 
 45.23 
 
 8.38 
 
 45.19 
 
 8.58 
 
 46 
 
 47 
 
 46.29 
 
 8.16 
 
 46.25 
 
 8.36 
 
 46.21 
 
 8.57 
 
 46.18 
 
 8.77 
 
 47 
 
 48 
 
 47.27 
 
 8.34 
 
 47.23 
 
 8.54 
 
 47.20 
 
 8.75 
 
 47.16 
 
 8.95 
 
 48 
 
 49 
 
 48.26 
 
 8.51 
 
 48.22 
 
 8.72 
 
 48.18 
 
 8.93 
 
 48.14 
 
 9.14 
 
 49 
 
 50 
 
 49.24 
 
 8.68 
 
 49.20 
 
 8.90 
 
 49.16 
 
 9.11 
 
 49.12 
 
 9.33 
 
 50 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 CO 
 
 o 
 
 g 
 
 1 
 
 
 
 
 
 n 
 
 BO 
 
 Q 
 
 80 Deg. 
 
 79| Deg. 
 
 79 Deg. 
 
 791 Deg. 
 
 3 
 
TKAVEI1SE TA11LE. 
 
 
 II 
 
 
 
 
 o 
 
 w' 
 
 10 Deg. 
 
 10J Deg. 
 
 IQi Deg. 
 
 10| Deg. 
 
 
 
 o 
 
 CD 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 3 
 o 
 
 CD 
 
 5j 
 
 50.23 
 
 8.86 
 
 50.19 
 
 9.08 
 
 50.15 
 
 9.29 
 
 50,10 
 
 9.51 
 
 51 
 
 52 
 
 51.21 
 
 9.03 
 
 51.17 
 
 9.25 
 
 51.13 
 
 9.48 
 
 51.09 
 
 9 . 70 
 
 52 
 
 53 
 
 52.19 
 
 9.20 
 
 52.15 
 
 9.43 
 
 52 . 1 1 
 
 9.66 
 
 52.07 
 
 9.89 
 
 53 
 
 54 53.18 
 
 9.38 
 
 53.14 
 
 9.61 
 
 53.10 
 
 9.84 
 
 53.05 
 
 10.07 
 
 54 
 
 55 
 
 54.16 
 
 9.55 
 
 54.12 
 
 9.79 
 
 54.08 
 
 10.02 
 
 54.03 
 
 10.26 
 
 55 
 
 56 
 
 55.15 
 
 9.72 
 
 55.11 
 
 9.96 
 
 55.06 
 
 10.21 
 
 55.02 
 
 10.45 
 
 56 
 
 57 
 
 56.13 
 
 9.90 
 
 56.09 
 
 10.14 
 
 56.05 
 
 10.39 
 
 56.00 
 
 10.63 
 
 57 
 
 58 
 
 57.12 
 
 10.07 
 
 57.07 
 
 10.32 
 
 57.03 
 
 10.57 
 
 56.98 
 
 10.82 
 
 58 
 
 59 
 
 58,10 
 
 10.25 
 
 58.06 
 
 10.50 
 
 58.01 
 
 10.75 
 
 57.96 
 
 11.00 
 
 59 
 
 60 
 
 59.09 
 
 10.42 
 
 59.04 
 
 10.68 
 
 59.00 
 
 10.93 
 
 58.95 
 
 11.19 
 
 60 
 
 61 
 
 60.07 
 
 10.59 
 
 60.03 
 
 10.85 
 
 59 .98 
 
 11.12 
 
 59.93 
 
 11.38 
 
 61 
 
 62 
 
 61.06 
 
 10.77 
 
 61.01 
 
 11.03 
 
 60.96 
 
 11.30 
 
 60.91 
 
 11.56 
 
 62 
 
 63 
 
 62.04 
 
 10.94 
 
 61.99 
 
 11.21 
 
 61.95 
 
 11.48 
 
 61.89 
 
 11.75 
 
 63 
 
 64 
 
 63.03 
 
 11.11 
 
 62.98 
 
 11.39 
 
 62.93 
 
 11.66 
 
 62.88 
 
 11.94 
 
 64 
 
 65 
 
 64.01 
 
 11.29 
 
 63.96 
 
 1 1 . 57 
 
 63.91 
 
 11.85 
 
 63.86 
 
 12.12 
 
 65 
 
 66 
 
 65.00 
 
 11.46 
 
 64.95 
 
 11.74 
 
 64.89 
 
 12.03 
 
 64.84 
 
 12.31 
 
 66 
 
 67 
 
 65.98 
 
 11.63 
 
 65.93 
 
 11.92 
 
 65.88 
 
 12.21 
 
 65.82 
 
 12.50 
 
 67 
 
 68 
 
 66.97 
 
 11.81 
 
 66.91 
 
 12.10 
 
 66.86 
 
 12.39 
 
 66.81 
 
 12.68 
 
 68 
 
 69 
 
 67.95 
 
 11.98 
 
 67.90 
 
 12.28 
 
 67.84 
 
 12.57 
 
 67.79 
 
 12.87 
 
 69 
 
 70 
 
 68.94 
 
 12. IF 
 
 68.88 
 
 12.46 
 
 68.83 
 
 12.76 
 
 68.77 
 
 13.06 
 
 70 
 
 71 
 
 69.92 
 
 12.33 
 
 69.87 
 
 12.63 
 
 69.81 
 
 12.94 
 
 69.75 
 
 13.24 
 
 7J 
 
 72 
 
 70.91 
 
 12.50 
 
 70.85 
 
 12.81 
 
 70.79 
 
 13.12 
 
 70.74 
 
 13.43 
 
 72 
 
 73 
 
 71.89 
 
 12.68 
 
 71.83 
 
 12.99 
 
 71.78 
 
 13.30 
 
 71.72 
 
 13.62 
 
 73 
 
 74 
 
 72.88 
 
 12.85 
 
 72.82 
 
 13.17 
 
 72 . 76 
 
 13.49 
 
 72.70 
 
 13.80 
 
 74 
 
 75 
 
 73.86 
 
 13.02 
 
 73.80 
 
 13.35 
 
 73.74 
 
 13.67 
 
 73.68 
 
 13.99 
 
 75 
 
 76 
 
 74.85 
 
 13.20 
 
 74.79 
 
 13.52 
 
 74.73 
 
 13.85 
 
 74.67 
 
 14.18 
 
 76 
 
 77 
 
 75.83 
 
 13.37 
 
 75 . 77 
 
 13.70 
 
 75.71 
 
 14.03 
 
 75.65 
 
 14.36 
 
 77 
 
 78 
 
 76.82 
 
 13.54 
 
 76.76 
 
 13.88 
 
 76.69 
 
 14.21 
 
 76 . 63 
 
 14.55 
 
 78 
 
 79 
 
 77.80 
 
 13.72 
 
 77.74 
 
 14.06 
 
 77.68 
 
 14.40 
 
 77.61 
 
 14.74 
 
 79 
 
 80 
 
 78 . 78 
 
 13.89 
 
 78.72 
 
 14.24 
 
 78.66 
 
 14.58 
 
 78.60 
 
 14.92 
 
 80 
 
 81 
 
 79.77 
 
 14.07 
 
 79.71 
 
 14.41 
 
 79 . 64 
 
 14.76 
 
 79.58 
 
 15. if 
 
 81 
 
 82 
 
 80.75 
 
 14.24 
 
 80.69 
 
 14.59 
 
 80.63 
 
 14.94 
 
 80.56 
 
 15.29 
 
 82 
 
 83 
 
 81.74 
 
 14.41 
 
 81.68 
 
 14.77 
 
 81.61 
 
 15.13 
 
 81.54 
 
 15.48 
 
 83 
 
 84 
 
 82.72 
 
 14.59 
 
 82.66 
 
 14.95 
 
 82.59 
 
 15.31 
 
 82.53 
 
 15.67 
 
 84 
 
 85 
 
 83.71 
 
 14.76 
 
 83 . 64 
 
 15.13 
 
 83.58 
 
 15.49 
 
 83.51 
 
 15.85 
 
 85 
 
 86 
 
 84.69 
 
 14.93 
 
 84.63 
 
 15.30 
 
 84.56 
 
 15.67 
 
 84.49 
 
 16.04 
 
 86 
 
 87 
 
 85.68 
 
 15.11 
 
 85.61 
 
 15.48 
 
 85.54 
 
 15.85 
 
 85.47 
 
 16.23 
 
 87 
 
 88 
 
 86.66 
 
 15.28 
 
 86.60 
 
 15.66 
 
 86.53 
 
 16.04 
 
 83.46 
 
 16.41 
 
 88 
 
 89 
 
 87.65 
 
 15.45 
 
 87.58 
 
 15.84 
 
 87.51 
 
 16.22 
 
 87.44 
 
 16.60 
 
 89 
 
 90 
 
 88.63 
 
 15.63 
 
 88.56 
 
 16.01 
 
 88.49 
 
 16.40 
 
 88.42 
 
 16.79 
 
 90 
 
 91 
 
 89.62 
 
 15.80 
 
 89.55 
 
 16.19 
 
 89.48 
 
 16.53 
 
 89.40 
 
 16.97 91 
 
 92 
 
 90.60 
 
 15.98 
 
 90.53 
 
 16.37 
 
 90.46 
 
 16.77 
 
 90.39 
 
 17.16 92 
 
 93 
 
 91.59 
 
 16.15 
 
 91.52 
 
 16.55 
 
 91.44 
 
 16.95 
 
 91.37 
 
 17.35 
 
 93 
 
 94 
 
 92.57 
 
 16.32 
 
 92.50 
 
 16.73 
 
 92.43 
 
 17.13 
 
 92.35 
 
 17.53 
 
 94 
 
 95 
 
 93 . 56 
 
 16.50 
 
 93.48 
 
 16.90 
 
 93.41 
 
 17.31 
 
 93.33 
 
 17.72 
 
 95 
 
 96 
 
 94.54 
 
 16.67 
 
 94.47 
 
 17.08 
 
 94.39 
 
 17.49 
 
 94.32 
 
 17.91 
 
 96 
 
 97 
 
 95.53 
 
 16.84 
 
 95.45 
 
 17.26 
 
 95.38 
 
 17.68 
 
 95.30 
 
 18.09 
 
 97 
 
 98 
 
 96.51 
 
 17.02 
 
 96.44 
 
 17.44 
 
 96.36 
 
 17.86 
 
 96.28 
 
 18.28 
 
 98 
 
 99 
 
 97.50 
 
 17.19 
 
 97.42 
 
 17.62 
 
 97.34 
 
 18.04 
 
 97.26 
 
 18.47 
 
 99 
 
 100 
 
 98.48 
 
 17.36 
 
 98.40 
 
 17.79 
 
 98.33 
 
 18.22 
 
 98.25 
 
 18.65 
 
 100 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 ci 
 
 I 
 
 80 Deg. 
 
 79| Deg. 
 
 79 Deg. 
 
 794 Deg. 
 
 oj 
 
 CO 
 
 Q 
 
24 
 
 TRAVJiKSE TABLE. 
 
 I 
 
 11 Deg. 
 
 1H Deg. 
 
 11$ Deg. 
 
 11| Deg. 
 
 P 
 
 s 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 t3 
 
 P 
 
 1 
 
 0.98 
 
 0.19 
 
 0.98 
 
 0.20 
 
 0.98 
 
 0.20 1 
 
 0.98 
 
 0.20 
 
 r 
 
 2 
 
 1.96 
 
 0.38 
 
 1.96 
 
 0.39 
 
 1.96 
 
 0.40 
 
 1.96 
 
 0.41 
 
 2 
 
 3 
 
 2.94 
 
 0.57 
 
 2.94 
 
 0.59 
 
 2.94 
 
 0.60 
 
 2.94 
 
 0.61 
 
 3 
 
 4 
 
 3.93 
 
 0.76 
 
 3.92 
 
 0.78 
 
 3.92 
 
 0.80 
 
 3.92 
 
 0.82 
 
 4 
 
 5 
 
 4.91 
 
 0.95 
 
 4.90 
 
 0.98 
 
 4.90 
 
 1.00 
 
 4.90 
 
 1.02 
 
 5 
 
 6 
 
 5.89 
 
 1.14 
 
 5.88 
 
 1.17 
 
 5.88 
 
 1.20 
 
 5.87 
 
 1.22 
 
 6 
 
 7 
 
 6.87 
 
 1.34 
 
 6.87 
 
 1.37 
 
 6.86 
 
 1.40 
 
 6.85 
 
 1.43 
 
 7 
 
 8 
 
 7.85 
 
 1.53 
 
 7.85 
 
 1.56 
 
 7.84 
 
 1.59 
 
 7.83 
 
 1.63 
 
 8 
 
 9 
 
 8.83 
 
 1.72 
 
 8.83 
 
 1.76 
 
 8.82 
 
 1.79 
 
 8.81 
 
 1.83 
 
 9 
 
 10 
 
 9.82 
 
 1.91 
 
 9.81 
 
 1.95 
 
 9.80 
 
 1.99 
 
 9.79| 2.04 
 
 10 
 
 11 
 
 10.80 
 
 2.10 
 
 10.79 
 
 2.15 
 
 10.78 
 
 2.19 i 
 
 10.77 
 
 2.24 
 
 11 
 
 12 
 
 11.78 
 
 2.29 
 
 11.77 
 
 2.34 
 
 11.76 
 
 2.39 
 
 11.75 
 
 2.44 
 
 12 
 
 13 
 
 12.76 
 
 2.48 
 
 12.75 
 
 2.54 
 
 12.74 
 
 2.59 
 
 12.73 
 
 2.65 
 
 13 
 
 14 
 
 13.74 
 
 2.67 
 
 13.73 
 
 2.73 
 
 13.72 
 
 2.79 
 
 13.71 
 
 2.85 
 
 14 
 
 15 
 
 14.72 
 
 2.86 
 
 14.71 
 
 2.93 
 
 14.70 
 
 2.99 
 
 14.69 
 
 3.06 
 
 ' 15 
 
 16 
 
 15.71 
 
 3.05 
 
 15.69 
 
 3.12 
 
 15.68 
 
 3.19 
 
 15.66 
 
 3.26 
 
 16 
 
 17 
 
 16.69 
 
 3.24 
 
 16.67 
 
 3.32 
 
 16.66 
 
 3.39 
 
 16.64 
 
 3.46 
 
 17 
 
 18 
 
 17.67 
 
 3.43 
 
 17.65 
 
 3.51 
 
 17.64 
 
 3.59 
 
 17.62 
 
 3.66 
 
 18 
 
 19 
 
 18.65 
 
 3.63 
 
 18.63 
 
 3.71 
 
 18.62 
 
 3.79 
 
 18.60 
 
 3.87 
 
 19 
 
 20 
 
 19.63 
 
 3.82 
 
 19.62 
 
 3.90 
 
 19.60 
 
 3.99 
 
 19.58 
 
 4.07 
 
 20 
 
 21 
 
 20.61 
 
 4.01 
 
 20 . 60 
 
 4.10 
 
 20 . 58 
 
 4.19 
 
 20 . 56 
 
 4.28 
 
 21 
 
 22 
 
 21.60 
 
 4.20 
 
 21.58 
 
 4.29 
 
 21.56 
 
 4.39 
 
 21.54 
 
 4.48 
 
 22 
 
 23 
 
 22.58 
 
 4.39 
 
 22.56 
 
 4.49 
 
 22.54 
 
 4.59 
 
 22.52 
 
 4.68 
 
 23 
 
 24 
 
 23.56 
 
 4.58 
 
 23.54 
 
 4.68 
 
 23 . 52 
 
 4.78 
 
 23.50 
 
 4.89 
 
 24 
 
 25 
 
 24.54 
 
 4.77 
 
 24.52 
 
 4.88 
 
 24.50 
 
 4.98 
 
 24.48 
 
 5.09 
 
 25 
 
 26 
 
 25.52 
 
 4.96 
 
 25 . 50 
 
 5.07 
 
 25.48 
 
 5.18 
 
 25.46 
 
 5.30 
 
 26 
 
 27 
 
 26.50 
 
 5.15 
 
 26.48 
 
 5.27 
 
 26.46 
 
 5.38 
 
 26.43 
 
 5 . 50 
 
 27 
 
 28 
 
 27.49 
 
 5.34 
 
 27.46 
 
 5.46 
 
 27.44 
 
 5.58 
 
 27.41 
 
 5 . 70 
 
 28 
 
 29 
 
 28.47 
 
 5.53 
 
 28.44 
 
 5.66 
 
 28.42 
 
 5.78 
 
 28.39 
 
 5.91 
 
 29 
 
 30 
 
 29.45 
 
 5.72 
 
 29.42 
 
 5.85 
 
 29.40 
 
 5.98 
 
 29.37 
 
 6.11 
 
 30 
 
 31 
 
 30.43 
 
 5.92 
 
 30.40 
 
 6.05 
 
 30.38 
 
 6.18 
 
 30.35 
 
 6.31 
 
 8.1 
 
 32 
 
 31.41 
 
 6.11 
 
 31.39 
 
 6.24 
 
 31.36 
 
 6.33 
 
 31.33 
 
 6 . 52 
 
 32 
 
 33 
 
 32.39 
 
 6-30 
 
 32.37 
 
 6.44 
 
 32.34 
 
 6.58 
 
 32.31 
 
 6.72 
 
 33 
 
 34 
 
 33.38 
 
 6.49 
 
 33.35 
 
 6.63 
 
 33.32 
 
 6.78 
 
 33.29 
 
 6.92 
 
 34 
 
 35 
 
 34.36 
 
 6.68 
 
 34.33 
 
 6.83 
 
 34.30 
 
 6 . 93 
 
 34.27 
 
 7.13 
 
 35 
 
 36 
 
 35.34 
 
 6.87 
 
 35.31 
 
 7.02 
 
 35.28 
 
 7.18 
 
 35 . 25 
 
 7.33 
 
 36 
 
 37 
 
 36.32 
 
 7.06 
 
 36.29 
 
 7.22 
 
 36.26 
 
 7.38 
 
 36.22 
 
 7.53 
 
 37 
 
 38 
 
 37.30 
 
 7.25 
 
 37.27 
 
 .7.41 
 
 37.24 
 
 7.58 
 
 37.20 
 
 7.74 
 
 38 
 
 39 
 
 38.28 
 
 7.44 
 
 38.25 
 
 7.61 
 
 38.22 
 
 7.78 
 
 38.18 
 
 7.94 
 
 39 
 
 40 
 
 39.27 
 
 7.63 
 
 39.23 
 
 7.80 
 
 39.20 
 
 7.97 
 
 39.18 
 
 8,15 
 
 40 
 
 41 
 
 40.25 
 
 7.82 
 
 40.21 
 
 8.00 
 
 40.18 
 
 8.17 
 
 40 . 14 
 
 8.35 
 
 41 
 
 42 
 
 41.23 
 
 8.01 
 
 41.19 
 
 8.19 
 
 41.16 
 
 8.37 
 
 41.12 
 
 8.55 
 
 42 
 
 43 
 
 42.21 
 
 8.20 
 
 42.17 
 
 8.39 
 
 42.14 
 
 8.5? 
 
 42.10 
 
 8.76 
 
 43 
 
 44 
 
 43.19 
 
 8.40 
 
 43.15 
 
 8 . 58 
 
 43.12 
 
 8.77 
 
 43.08 
 
 8.96 
 
 44 
 
 45 
 
 44.17 
 
 8.59 
 
 44.14 
 
 8.78 
 
 44.10 
 
 8.97 
 
 44.06 
 
 9.16 
 
 45 
 
 46 
 
 45.15 
 
 8.78 
 
 45.12 
 
 8.97 
 
 45 . 08 
 
 9.17 
 
 45.04 
 
 9.37 
 
 46 
 
 4? 
 
 46.14 
 
 8.97 
 
 46.10 
 
 9.17 
 
 46.06 
 
 9.37 
 
 48.02 
 
 9.57 
 
 47 
 
 48 
 
 47.12 
 
 9.16 
 
 47.08 
 
 9.36 
 
 47.04 9.57 
 
 46.99 
 
 .9.78 
 
 48 
 
 49 
 
 48.10 
 
 9.35 
 
 48.06J 9.56 
 
 48.02 9.77 
 
 47.97 
 
 9.98 
 
 49 
 
 50 
 
 49.08 
 
 9.54 
 
 49.04J 9.75 
 
 49.00) 9.97 
 
 48.95 
 
 10.18 
 
 50 
 
 8 
 
 c 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 to 
 
 o 
 C 
 
 4 
 
 
 
 
 "^ 
 
 P 
 
 79 Deg. 
 
 78! Deg. 
 
 18$ Deg. 
 
 78J Deg. 
 
 Q 
 
TRAVERSE TABLE. 
 
 25 
 
 (3 
 
 11 Deg. 
 
 Hi Deg. 
 
 11* Deg. 
 
 Ill Deg, 
 
 O 
 
 p 
 
 
 
 
 
 P?" 
 
 a 
 o 
 
 0) 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 
 
 TT 
 
 50.06 
 
 9.73 
 
 50 . 02 
 
 9.95 
 
 49.98 
 
 10.17 
 
 49.93 
 
 10.39 
 
 51 
 
 52 
 
 51.04 
 
 9.92 
 
 51.00 
 
 10.14 
 
 50.96 
 
 10.37 
 
 50.91 
 
 10.59 
 
 52 
 
 53 
 
 52.03 
 
 10.11 
 
 51.98 
 
 10.34 
 
 51.94 
 
 10.57 
 
 51.89 
 
 10.79 
 
 53 
 
 54 
 
 53.01 
 
 10.30 
 
 52.96 
 
 10.53 
 
 52.92 
 
 10.77 
 
 52.87 
 
 11.00 
 
 54 
 
 55 
 
 53.99 
 
 10.49 
 
 53.94 
 
 10.73 
 
 53.90 
 
 10.97 
 
 53.85 
 
 11.20 
 
 55 
 
 56 
 
 54.97 
 
 10.69 
 
 54.92 
 
 10.93 
 
 54.88 
 
 11.16 
 
 54.83 
 
 11.40 
 
 56 
 
 57 
 
 55.95 
 
 10.88 
 
 55.90 
 
 If. 12 
 
 55.86 
 
 11.36 
 
 55.81 
 
 11.61 
 
 57 
 
 58 
 
 56.93 
 
 11.07 
 
 56.89 
 
 11.32 
 
 56.84 
 
 11.56 
 
 56.78 
 
 11.81 
 
 58 
 
 59 
 
 57.92 
 
 11.26 
 
 57.87 
 
 11.51 
 
 57.82 
 
 11.76 
 
 57.76 
 
 12.01 
 
 59 
 
 GO 
 
 58.90 
 
 11.45 
 
 58.85 
 
 11.71 
 
 58.80 
 
 11.96 
 
 58.74 
 
 12.22 
 
 60 
 
 61 
 
 59.88 
 
 11.64 
 
 59.83 
 
 11.90 
 
 59.78 
 
 12.16 
 
 59 . 72 
 
 12.42 
 
 61 
 
 62 
 
 60.86 
 
 11.83 
 
 60.81 
 
 12.10 
 
 60.76 
 
 12.36 
 
 60.70 
 
 12.63 
 
 62 
 
 63 
 
 61.84 
 
 12.02 
 
 61.79 
 
 12.29 
 
 61.74 
 
 12.56 
 
 61.68 
 
 12.83 
 
 63 
 
 64 
 
 62.82 
 
 12.21 
 
 62.77 
 
 12.49 
 
 62.72 
 
 12.76 
 
 62.66 
 
 13.03 
 
 64 
 
 65 
 
 63.81 
 
 12.40 
 
 63.75 
 
 12.68 
 
 63.70 
 
 12.96 
 
 63.64 
 
 13.24 
 
 65 
 
 66 
 
 64.79 
 
 12.59 
 
 64.73 
 
 12.88 
 
 64.68 
 
 13.16 
 
 64.62 
 
 13.44 
 
 66 
 
 - 67 
 
 65.77 
 
 12.78 
 
 65.71 
 
 13.07 
 
 65 . 66 
 
 13.36 
 
 65.60 
 
 13.64 
 
 67 
 
 63 
 
 66.75 
 
 12.98 
 
 66.69 
 
 13.27 
 
 66 . 63 
 
 13.56 
 
 66.58 
 
 13.85 
 
 68 
 
 69 
 
 67.73 
 
 13.17 
 
 67.67 
 
 13.46 
 
 67.61 
 
 13.76 
 
 67.55 
 
 14.05 
 
 69 
 
 70 
 
 68.71 
 
 13.36 
 
 68.66 
 
 13.66 
 
 68.59 
 
 13.96 
 
 68.53 
 
 14.25 
 
 70 
 
 ; ~i7 
 
 69.70 
 
 13.55 
 
 69.64 
 
 13.85 
 
 69.57 
 
 14.16 
 
 69.51 
 
 14.46 
 
 71 
 
 72 
 
 70.68 
 
 13.74 
 
 70.62 
 
 14.05 
 
 70.55 
 
 14.35 
 
 70.49 
 
 14.66 
 
 72 
 
 73 
 
 71.66 
 
 13.93 
 
 71.60 
 
 14.24 
 
 71.53 
 
 .'4.55 
 
 71.47 
 
 14.87 
 
 73 
 
 74 
 
 72.64 
 
 14.12 
 
 72.58 
 
 14.44 
 
 72.51 
 
 14.75 
 
 72.45 
 
 15.07 
 
 74 
 
 75 
 
 73 . 62 
 
 14.31 
 
 73.56 
 
 14.63 
 
 73.49 
 
 14.95 
 
 73.43 
 
 15.27 
 
 75 
 
 76 
 
 74.60 
 
 14.50 
 
 74.54 
 
 14.83 
 
 74.47 
 
 15.15 
 
 74.41 
 
 15.48 
 
 76 
 
 77 
 
 75 . 59 
 
 14.69 
 
 75.52 
 
 15.02 
 
 75.45 
 
 15.35 
 
 75.39 
 
 15.68 
 
 77 
 
 ?M 
 
 76 . 57 
 
 14.88 
 
 76.50 
 
 15.22 
 
 76.43 
 
 15.55 
 
 76.37 
 
 15.88 
 
 78 
 
 79 
 
 77.55 
 
 15.07 
 
 77.48 
 
 15.41 
 
 77.41 
 
 15.75 
 
 77.34 
 
 16.09 
 
 79 
 
 8!) 
 
 78.53 15.26 
 
 78.46 
 
 15.61 
 
 78.39 
 
 15.95 
 
 78.32 
 
 16.29 
 
 80 
 
 81 
 
 79.51 15.46 
 
 79.44 
 
 15.80 
 
 79.37 
 
 16.15 
 
 79.30 
 
 16.49 
 
 81 
 
 83 
 
 80.49 
 
 15.65 
 
 80.42 
 
 16.00 
 
 80.35 
 
 16.35 
 
 80.28 
 
 16.70 
 
 82 
 
 83 
 
 81.48 
 
 15.84 
 
 81.41 
 
 16.19 
 
 81.33 
 
 16.55 
 
 81.26 
 
 16.90 
 
 83 
 
 84 
 
 82.46 
 
 16.03 
 
 82.39 
 
 16.39 
 
 82.31 
 
 16.75 
 
 82. -24 
 
 17.11 
 
 84 
 
 85 
 
 33.44 
 
 16.22 
 
 83.37 
 
 16.58 
 
 83.29 
 
 16.95 
 
 83.22 
 
 17.31 
 
 85 
 
 86 
 
 84.42 
 
 16.41 
 
 84 . 35 
 
 16.78 
 
 84.27 
 
 17.15 
 
 84.20 
 
 17.51 
 
 86 
 
 87 
 
 85.40 
 
 16.60 
 
 85 . 33 
 
 16.97 
 
 85.25 
 
 17.35 
 
 85.18 
 
 17.72 
 
 87 
 
 88 
 
 86.38 
 
 16.79 
 
 86.31 
 
 17.17 
 
 86.23 
 
 17.54 
 
 86.16 
 
 17.92 
 
 88 
 
 89 87.33 
 
 16.98 
 
 87.29 
 
 17.36 
 
 87.21 
 
 17.74 
 
 87.14 
 
 18.12 
 
 89 
 
 90 88.35) 17.17 
 
 88.27 
 
 17.56 
 
 88.19 
 
 17.94 
 
 88.11 
 
 18.33 
 
 90 
 
 91 
 
 89.33 | 17.36 
 
 89.25 
 
 17.75 
 
 89". 17 
 
 18.14 
 
 89.09 
 
 18.53 
 
 91 
 
 92 
 
 90.31 
 
 17.55 
 
 90.23 
 
 17.95 
 
 90.15 
 
 18.34 
 
 90.07 
 
 18.74 
 
 92 
 
 93 91.29 
 
 17.75 
 
 91.21 
 
 18.14 
 
 91.13 
 
 18.54 
 
 91.05 
 
 18.94 
 
 93 
 
 94 i 92.27 
 
 17.94 
 
 92.19 
 
 18.34 
 
 92.11 
 
 18.74 
 
 92.03 
 
 19.14 
 
 94 
 
 95193.25 
 
 18.13 
 
 93.17 
 
 18.53 
 
 93.09 
 
 18.94 
 
 93.01 
 
 19.35 
 
 95 
 
 98 | 94.24 
 
 18.32 
 
 94.16 
 
 18,73 
 
 94.07 
 
 19.14 
 
 93 . 99 
 
 19.55 
 
 96 
 
 97 1 95.22 
 
 18.51 
 
 95.14 
 
 18.. 92 
 
 95.05 
 
 19.34 
 
 94.97 
 
 19.75 
 
 97 
 
 98 
 
 96.20 
 
 18.70 
 
 96.12 
 
 19.12 
 
 96.03 
 
 19.54 
 
 95.95 
 
 19.96 
 
 98 
 
 99 
 
 97.18 
 
 18.89 
 
 97.10 
 
 19.31 
 
 97.01 
 
 19.74 
 
 96.93 
 
 20.16 
 
 99 
 
 100 
 
 98 . 16 
 
 19.08 
 
 98.08 
 
 19.51 
 
 97.99 
 
 19.94 
 
 97.90 
 
 20.36 
 
 100 
 
 o 
 u 
 e 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 " 
 
 o 
 
 S 
 
 S 
 
 79 Deg. 
 
 78| Deg. 
 
 78$ Deg. 
 
 78* Deg. 
 
 
 
 CO 
 
 Q 
 
TRAVERSE TABLE. 
 
 
 
 
 
 i 1 
 
 s 
 
 B 
 
 12 Deg. 
 
 124 Deg. 
 
 12| Deg. 
 
 12J Deg. 
 
 O 
 
 ST 
 
 1 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 o 
 
 1 
 
 0.98 
 
 0.21 
 
 0.98 
 
 0.21 
 
 0.98 
 
 0.22 
 
 0.98 
 
 0.22 
 
 ~T 
 
 2 
 
 1.96 
 
 0.42 
 
 1.95 
 
 0.42 
 
 1.95 
 
 0.43 
 
 1.95 
 
 0.44 
 
 2 
 
 3 
 
 2.93 
 
 0.62 
 
 2.93 
 
 0.64 
 
 2.93 
 
 0.65 
 
 2.93 
 
 0.66 
 
 3 
 
 4 
 
 3.91 
 
 0.83 
 
 3.91 
 
 0.85 
 
 3.91 
 
 0.87 
 
 3.90 
 
 0.88 
 
 4 
 
 5 
 
 4.89 
 
 1.04 
 
 4.89 
 
 1.06 
 
 4.88 
 
 1.08 
 
 4.88 
 
 1.10 
 
 5 
 
 6 
 
 5.87 
 
 1.25 
 
 5.86 
 
 1.27 
 
 5.86 
 
 1.30 
 
 5.85 
 
 1.32 
 
 6 
 
 7 
 
 6.85 
 
 1.46 
 
 6.84 
 
 1.49 
 
 6.83 
 
 1.52 
 
 6.83 
 
 1.54 
 
 7 
 
 8 
 
 7.83 
 
 1.66 
 
 7.82 
 
 1.70 
 
 7.81 
 
 1.73 
 
 7.80 
 
 1.77 
 
 8 
 
 9 
 
 8.80 
 
 1.87 
 
 8.80 
 
 1.91 
 
 8.79 
 
 1.95 
 
 8.78 
 
 1.99 
 
 9 
 
 10 
 
 9.78 
 
 2.08 
 
 9.77 
 
 2.12 
 
 9.76 
 
 2.16 
 
 9.75 
 
 2.21 
 
 10 
 
 11 
 
 10.76 
 
 2.29 
 
 10.75 
 
 2.33 
 
 10.74 
 
 2.38 
 
 10.73 
 
 2.43 
 
 11 
 
 12 
 
 11.74 
 
 2.49 
 
 11.73 
 
 2.55 
 
 11.72 
 
 2.60 
 
 11.70 
 
 2.65 
 
 12 
 
 13 
 
 12.72 
 
 2.70 
 
 12.70 
 
 2.76 
 
 12.69 
 
 2.81 
 
 12.68 
 
 2.87 
 
 13 
 
 14 
 
 13.69 
 
 2.91 
 
 13.68 
 
 2.97 
 
 13.67 
 
 3.03 
 
 13.65 
 
 3.09 
 
 14 
 
 15 
 
 14.67 
 
 3.12 
 
 14.66 
 
 3.18 
 
 14.64, 
 
 3.25 
 
 14.63 
 
 3.31 
 
 15 
 
 16 
 
 15.65 
 
 3.33 
 
 15.64 
 
 3.39 
 
 15.62 
 
 3.46 
 
 15.61 
 
 3.53 
 
 16 
 
 17 
 
 16.63 
 
 3.53 
 
 16.61 
 
 3.61 
 
 16.60 
 
 3.68 
 
 16.58 
 
 3.75 
 
 17 
 
 18 
 
 17.61 
 
 3.74 
 
 17.59 
 
 3.82 
 
 17.57 
 
 3.90 
 
 17. i r,6 
 
 3.97 
 
 18 
 
 19 
 
 18.58 
 
 3.95 
 
 18.57 
 
 4.03 
 
 18.55 
 
 4.11 
 
 18.53 
 
 4.19 
 
 19 
 
 20 
 
 19.56 
 
 4.16 
 
 19.54 
 
 4.24 
 
 19.53 
 
 4.33 
 
 19.51 
 
 4.41 
 
 20 
 
 21 
 
 20.54 
 
 4.37 
 
 20.52 
 
 4.46 
 
 20 . 50 
 
 4.55 
 
 20.48 
 
 4.63 
 
 21 
 
 22 
 
 21.52 
 
 4.57 
 
 21.50 
 
 4.67 
 
 21.48 
 
 4.76 
 
 21.46 
 
 4.86 
 
 22 
 
 23 
 
 22.50 
 
 4.78 
 
 22.48 
 
 4.88 
 
 22.45 
 
 4.98 
 
 22.43 
 
 5.08 
 
 23 
 
 24 
 
 23.48 
 
 4.99 
 
 23.45 
 
 5.09 
 
 23.43 
 
 5.19 
 
 23.41 
 
 5.30 
 
 24 
 
 25 
 
 24.45 
 
 5.20 
 
 24.43 
 
 5.30 
 
 24.41 
 
 5.41 
 
 24.38 
 
 5.52 
 
 25 
 
 26 
 
 25.43 
 
 5.41 
 
 25.41 
 
 5.52 
 
 25.33 
 
 5.63 
 
 25.36 
 
 5.74 
 
 26 
 
 27 
 
 26.41 
 
 5.61 
 
 26.39 
 
 5.73 
 
 26.36 
 
 5.84 
 
 26.33 
 
 5.96 
 
 27 
 
 28 
 
 27.39 
 
 5.82 
 
 27.36 
 
 5.94 
 
 27.34 
 
 6.06 
 
 27.31 
 
 6.18 
 
 28 
 
 29 
 
 28.37 
 
 6.03 
 
 28.34 
 
 6.15 
 
 28.31 
 
 6.28 
 
 28.28 
 
 6.40 
 
 29 
 
 30 
 
 29.34 
 
 6.24 
 
 29.32 
 
 6.37 
 
 29.29 
 
 6.49 
 
 29.26 
 
 6 . 62 
 
 30 
 
 31 
 
 30.32 
 
 6.45 
 
 30.29 
 
 6.58 
 
 30.27 
 
 6.71 
 
 30.24 
 
 6.84 
 
 31 
 
 32 
 
 31.30 
 
 6.65 
 
 31.27 
 
 6.79 
 
 31.24 
 
 6.93 
 
 31.21 
 
 7.06 
 
 32 
 
 33 
 
 32.28 
 
 6.86 
 
 32.25 
 
 7.00 
 
 32.22 
 
 7.14 
 
 32.19 
 
 7.28 
 
 33 
 
 34 
 
 33.26 
 
 7.07 
 
 33.23 
 
 7.21 
 
 33.19 
 
 7.36 
 
 33.16 
 
 7.50 
 
 34 
 
 35 
 
 34.24 
 
 7.28 
 
 34.20 
 
 7.43 
 
 34.17 
 
 7.58 
 
 34.14 
 
 7.72 
 
 35 
 
 36 
 
 35.21 
 
 7.48 
 
 35.18 
 
 7.64 
 
 35.15 
 
 7.79 
 
 35 . 1 1 
 
 7.95 
 
 36 
 
 37 
 
 36.19 
 
 7.69 
 
 36.16 
 
 7.85 
 
 36.12 
 
 8.01 
 
 36.09 
 
 8.17 
 
 37 
 
 38 
 
 37.17 
 
 7.90 
 
 37.13 
 
 8.06 
 
 37.10 
 
 8.22 
 
 37.06 
 
 8.39 
 
 38 
 
 39 
 
 38.15 
 
 8.11 
 
 38.11 
 
 8.27 
 
 38.08 
 
 8.44 
 
 38.04 
 
 8.61 
 
 39 
 
 40 
 
 39.13 
 
 8.32 
 
 39.09 
 
 8.49 
 
 39.05 
 
 8.66 
 
 39.01 
 
 8.83 
 
 40 
 
 41 
 
 40.10 
 
 8.52 
 
 40.07 
 
 8.70 
 
 40.03 
 
 8.87 
 
 39.99 
 
 9.05 
 
 41 
 
 42 
 
 41.08 
 
 8.73 
 
 41.04 
 
 8.91 
 
 41.00 
 
 9.09 
 
 40.96 
 
 9.27 
 
 42 
 
 43 
 
 42.06 
 
 8.94 
 
 4?. 02 
 
 9.12 
 
 41.98 
 
 9.31 
 
 41.94 
 
 9.49 
 
 43 
 
 44 
 
 43.04 
 
 9.15 
 
 43.00 
 
 9.34 
 
 42.96 
 
 9.52 
 
 42.92 
 
 9.71 
 
 44 
 
 45 
 
 44.02 
 
 9.36 
 
 43.98 
 
 9.55 
 
 43.93 
 
 9.74 
 
 43.89 
 
 9.93 
 
 45 
 
 46 
 
 44.99 
 
 9.56 
 
 44.95 
 
 9.76 
 
 44.91 
 
 9.96 
 
 44.87 
 
 10.15 
 
 46 
 
 47 
 
 45.97 
 
 9.77 
 
 45.93 
 
 9.97 
 
 45.89 
 
 10.17 
 
 45.84 
 
 10.37 
 
 47 
 
 48 
 
 46.95 
 
 9.98 
 
 46.91 
 
 10.18 
 
 46.86 
 
 10.39 
 
 46.82 
 
 10.59 
 
 48 
 
 49 
 
 47.93 
 
 10.19 
 
 47.88 
 
 10.40 
 
 47.84 
 
 10.61 
 
 47.79 
 
 10.81 
 
 49 
 
 50 
 
 48.91 
 
 10.40 
 
 48.86 
 
 10.61 
 
 48.81 
 
 10.82 
 
 48.77 
 
 11.03 
 
 50 
 
 | 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 
 o 
 
 a 
 
 1 
 
 78 Deg. 
 
 77| Deg. 
 
 77^ Deg. 
 
 774 Deg. 
 
 Q 
 
TRAVERSE TABLE. 
 
 27 
 
 5 
 
 55 
 
 12 Deg. 
 
 12} Deg. 
 
 12 Deg. 
 
 12| Deg. 
 
 O 
 
 tance. 
 
 
 
 
 
 1' 
 
 o 
 
 cu 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 51 
 
 49.89 
 
 10.00 
 
 49.84 
 
 10.82 
 
 49.79 
 
 11.04 
 
 49 . 74 
 
 11.26 
 
 51 
 
 52 
 
 50.86 
 
 10.81 
 
 50,82 
 
 11.03 
 
 50.77 
 
 11,25 
 
 50.72 
 
 11.48 
 
 52 
 
 53 
 
 51.84 
 
 11.02 
 
 51.79 
 
 11.25 
 
 51.74 
 
 11.47 
 
 51.69 
 
 11.70 
 
 53 
 
 54 
 
 52.82 
 
 11,23 
 
 52.77 
 
 11.46 
 
 52.72 
 
 11.69 
 
 52.67 
 
 11.92 
 
 54 
 
 55 
 
 53.80 
 
 11.44 
 
 53.. 75 
 
 '1.67 
 
 53.70 
 
 11.90 
 
 53.64 
 
 12.14 
 
 55 
 
 58 
 
 54.78 
 
 11,64 
 
 54.72 
 
 11.88 
 
 54.67 
 
 12,12 
 
 54,62 
 
 12.36 
 
 56 
 
 57 
 
 55.75 
 
 11.85 
 
 55 . 70 
 
 12.09 
 
 55.65 
 
 12.34 
 
 55 . 59 
 
 12.58 
 
 57 
 
 58 
 
 56.73 
 
 12.06 
 
 56 . 68 
 
 12.31 
 
 56 . 63 
 
 12.55 
 
 56 . 57 
 
 12.80 
 
 58 
 
 59 
 
 57.71 
 
 12.27 
 
 57.66 
 
 12.52 
 
 57.60 
 
 12.77 
 
 57.55 
 
 13.02 
 
 59 
 
 60 
 
 58.69 
 
 12.47 
 
 58.63 
 
 12.73 
 
 58,58 
 
 12.99 
 
 58,52 
 
 13.24 
 
 60 
 
 61 
 
 59.67 
 
 12.68 
 
 59.61 
 
 12,94 
 
 59 . 55 
 
 13.20 
 
 59.50 
 
 13.46 
 
 01 
 
 62 
 
 60,65 
 
 12.89 
 
 60.59 
 
 13.16 
 
 60.53 
 
 13.42 
 
 60.47 
 
 13.68 
 
 62 
 
 63 
 
 61.62 
 
 13.10 
 
 61.57 
 
 13.37 
 
 61.51 
 
 13.64 
 
 61.45 
 
 13.90 
 
 63 
 
 64 
 
 62 . 60 
 
 13.31 
 
 62.54 
 
 13.58 
 
 62,48 
 
 13.85 
 
 62.42 
 
 14.12 
 
 64 
 
 65 
 
 63.58 
 
 13.51 
 
 63.52 
 
 13.79 
 
 163.46 
 
 14.07 
 
 63.40 
 
 14.35 
 
 65 
 
 66 
 
 64.56 
 
 13.72 
 
 64.50 
 
 14.00 
 
 64,44 
 
 14.29 
 
 64.37 
 
 14.57 
 
 06 
 
 67 
 
 65.54 
 
 13.93 
 
 65.47 
 
 14.22 
 
 65.41 
 
 14.50 
 
 65.35 
 
 14.79 
 
 67 
 
 68 
 
 66.51 
 
 14.14 
 
 66.45 
 
 14.43 
 
 66.39 
 
 14.72 
 
 66.32 
 
 15.01 
 
 68 
 
 69 
 
 67.49 
 
 14.35 
 
 67.43 
 
 14.64 
 
 67.36 
 
 14.93 
 
 67.30 
 
 15.23 
 
 69 
 
 70 
 
 68.47 
 
 14.55 
 
 68.41 
 
 14.85 
 
 68.34 
 
 15.15 
 
 68.27 
 
 15.45 
 
 70 
 
 71 
 
 69.45 
 
 14.76 
 
 69.38 
 
 15.06 
 
 69.32 
 
 15.37 
 
 69 . 25 
 
 15.67" 
 
 71 
 
 72 
 
 70.43 
 
 14.97 
 
 70.36 
 
 15.28 
 
 70.29 
 
 15.58 
 
 70.22 
 
 15.89 
 
 72 
 
 73 
 
 71.40 
 
 15.18 
 
 71.34 
 
 15.49 
 
 71.27 
 
 15.80 
 
 71.20 
 
 16 11 73 
 
 74 
 
 72.38 
 
 15.39 
 
 72.32 
 
 35.70 
 
 72.25 
 
 16.02 
 
 72.18 
 
 16.33 
 
 74 
 
 75 
 
 73.36 
 
 15.59 
 
 73.29 
 
 15.91 
 
 73.22 
 
 16.23 
 
 73.15 
 
 16.55 
 
 75 
 
 76 
 
 74.34 
 
 15.80 
 
 74.27 
 
 16.13 
 
 74.20 
 
 16.45 
 
 74.13 
 
 16.77 
 
 76 
 
 77 
 
 75 . 32 
 
 16.01 
 
 75.25 
 
 16.34 
 
 75.17 
 
 16.67 
 
 75.10 
 
 16.99 
 
 77 
 
 78 
 
 76.30 
 
 16 . 22 
 
 76.22 
 
 16.55 
 
 76.15 
 
 16.88 
 
 76.08 
 
 17.21 
 
 78 
 
 79 
 
 77.27 
 
 16.43 
 
 77.20 
 
 16.76 
 
 77.13 
 
 17.10 
 
 77.05 
 
 17.44 
 
 79 
 
 80 
 
 78.25 
 
 16.63 
 
 78.18 
 
 16.97 
 
 78.10 
 
 17.32 
 
 78.03 
 
 17.66 
 
 80 
 
 81 
 
 79.23 
 
 16.84 
 
 79.16 
 
 17.19 
 
 79.08 
 
 17.53 
 
 79.00 
 
 17.88 
 
 81 
 
 Of> 
 
 80.21 
 
 17.05 
 
 80.13 
 
 17.40 
 
 80.06 
 
 17.75 
 
 79.98 
 
 18.10 
 
 82 
 
 83 
 
 81.19 
 
 17.26 
 
 81.11 
 
 17.61 
 
 81.03 
 
 17.96 
 
 80.95 
 
 18.32 
 
 83 
 
 84 
 
 82.16 
 
 17.46 
 
 82.09 
 
 17.82 
 
 82.01 
 
 18.18 
 
 81.93 
 
 18.54 
 
 84 
 
 85 
 
 83.14 
 
 17.67 
 
 83.06 
 
 18.04 
 
 82 . 99 
 
 18.40 
 
 82.90 
 
 18.76 
 
 85 
 
 86 
 
 84.12 
 
 17.88 
 
 84.04 
 
 18.25 
 
 83.96 
 
 18.61 
 
 83.83 
 
 18.98 
 
 86 
 
 87 
 
 85.10 
 
 18.09 
 
 85.02 
 
 18.46 
 
 84.94 
 
 18.83 
 
 84.85 
 
 19.20 
 
 87 
 
 88 
 
 86.08 
 
 18.30 
 
 86.00 
 
 18.67 
 
 85.91 
 
 19.05 
 
 85.83 
 
 19.42 
 
 88 
 
 89 
 
 87.06 
 
 18.50 
 
 86.97 
 
 18.88 
 
 86.89 
 
 19.26 
 
 86.81 
 
 19.64 
 
 89 
 
 90 
 
 88.03 
 
 18,71 
 
 87.95 
 
 19.10 
 
 87.87 
 
 19,48 
 
 87.78 
 
 19.86 
 
 90 
 
 91 
 
 89.01 
 
 18.92 
 
 88 . 93 
 
 19.31 
 
 88.84 
 
 19.70 
 
 88.76 
 
 20.08 
 
 91 
 
 92 
 
 89.99 
 
 19.13 
 
 89.91 
 
 19.52 
 
 89.82 
 
 19.91 
 
 89.73 
 
 20.30 
 
 92 
 
 93 
 
 90.97 
 
 19.34 
 
 90.88 
 
 19.73 
 
 90.80 
 
 20.13 
 
 90.71 
 
 20.52,, 
 
 9? 
 
 94 
 
 91.95 
 
 19.54 
 
 91.86 
 
 19.94 
 
 91.77 
 
 20.35 
 
 91.68 
 
 20.75 
 
 94 
 
 95 
 
 92 . 95 
 
 19.75 
 
 92.84 
 
 20 . 16 
 
 92 . 75 
 
 20.56 
 
 92.66 
 
 20 . 97 
 
 95 
 
 96 
 
 93.90 
 
 19.96 
 
 93.81 
 
 20.37 
 
 93.72 20.78 
 
 93.63 
 
 21.19 
 
 96 
 
 97 
 
 94.88 
 
 20.17 
 
 94.79 
 
 20.58 
 
 94.70 
 
 20.99 
 
 94.61 
 
 21.41 
 
 97 
 
 98 
 
 95.86 
 
 20.38 
 
 95.77 
 
 20.79 
 
 95.68 
 
 21.21 
 
 95.58 
 
 21.63 
 
 98 
 
 99 
 
 96.84 
 
 20.58 
 
 96.75 
 
 21.01 
 
 96 . 65 
 
 21.43 
 
 96.56 
 
 21.85 
 
 99 
 
 100 
 
 97.81 
 
 20.79 
 
 97.72 
 
 21.22 
 
 97.63 
 
 21.64 
 
 97.53 
 
 22.07 
 
 100 
 
 aJ 
 o 
 
 c 
 
 Dep, 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 8 
 
 rt 
 
 tc 
 
 5 
 
 78 Deg. 
 
 77| Deg 
 
 77 Deg. 
 
 774 Deg. 
 
 Q 
 
28 
 
 TBAVFRSE TABLE. 
 
 G 
 
 1 
 
 13 Deg. 
 
 134 Deg. 
 
 131 rteg. 
 
 13} Deg. 
 
 C 
 53' 
 
 pj 
 
 i 
 
 o 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 
 ~T 
 
 0.97 
 
 0.23 
 
 0.97 
 
 0.23 
 
 0.97 
 
 0.23 
 
 0.97 
 
 0.24 
 
 ~T 
 
 2 
 
 1.95 
 
 0.45 
 
 1.95 
 
 0.46 
 
 1.95 
 
 0.47 
 
 1.94 
 
 0.48 
 
 2 
 
 3 
 
 2.92 
 
 0.67 
 
 2.92 
 
 0.69~ 
 
 2.92 
 
 0.70 
 
 2.91 
 
 0.71 
 
 3 
 
 4 
 
 3.90 
 
 0.90 
 
 3.89 
 
 0.92 
 
 3.89 
 
 0.93 
 
 3.89 
 
 0.95 
 
 4 
 
 5 
 
 4.87 
 
 1.12 
 
 4.87 
 
 1.15 
 
 4.86 
 
 1.17 
 
 4.86 
 
 1.19 
 
 5 
 
 6 
 
 5.85 
 
 1.35 
 
 5.84 
 
 1.38 
 
 5.83 
 
 1.40 
 
 5.83 
 
 1.43 
 
 6 
 
 7 
 
 6.82 
 
 1.57 
 
 6.81 
 
 1.60 
 
 6.81 
 
 1 .63 
 
 6.80 
 
 1.66 
 
 7 
 
 8 
 
 7.80 
 
 1.80 
 
 7.79 
 
 1.83 
 
 7.78 
 
 1.87 
 
 7.77 
 
 1.90 
 
 8 
 
 9 
 
 8.77 
 
 2.02 
 
 8.76 
 
 2.06 
 
 8.75 
 
 2.10 
 
 8.74 
 
 2.14 
 
 ' 9 
 
 10 
 
 9.74 
 
 2.25 
 
 9.73 
 
 2.29 
 
 9.72 
 
 2.33 
 
 9.71 
 
 2.38 
 
 10 
 
 11 
 
 10.72 
 
 2.47 
 
 10.71 
 
 2.52 
 
 10.70 
 
 2.57 
 
 10.68 
 
 2.61 
 
 11 
 
 12 
 
 11.69 
 
 2.70 
 
 11.68 
 
 2.75 
 
 11.67 
 
 2.80 
 
 11.66 
 
 2.85 
 
 12 
 
 13 
 
 12.67 
 
 2.92 
 
 12.65 
 
 2.98 
 
 12.64 
 
 3.03 
 
 12.63 
 
 3.09 
 
 13 
 
 14 
 
 13.64 
 
 3.1o 
 
 13.63 
 
 3.21 
 
 13.61 
 
 3.27 
 
 13.60 
 
 3.33 
 
 14 
 
 15 
 
 14. 62 
 
 3.37 
 
 14.60 
 
 3.44 
 
 14.59 
 
 3.50 
 
 14.57 
 
 3.57 
 
 15 
 
 16 
 
 15.59 
 
 3.60 
 
 15.57 
 
 3.67 
 
 15.56 
 
 3.74 
 
 15.54 
 
 3.8C 
 
 16 
 
 17 
 
 16.57 
 
 3.82 
 
 16.55 
 
 3.90 
 
 16.53 
 
 3.97 
 
 16.51 
 
 4.04 
 
 17 
 
 18 
 
 17.54 
 
 4.05 
 
 17.52 
 
 4.13 
 
 17.50 
 
 4.20 
 
 17.48 
 
 4.28 
 
 18 
 
 19 
 
 18.51 
 
 4.27 
 
 18.49 
 
 4.35 
 
 18.48 
 
 4.44 
 
 18.46 
 
 4.52 
 
 19 
 
 20 
 
 19.49 
 
 4.50 
 
 19.47 
 
 4.58 
 
 19.45 
 
 4.67 1 
 
 19.43 
 
 4.75 
 
 20 
 
 21 
 
 20.46 
 
 4.72 
 
 20.44 
 
 4.81 
 
 20.42 
 
 4.90 
 
 20.40 
 
 4.99 
 
 21 
 
 22 
 
 21.44 
 
 4.95 
 
 21.41 
 
 5.04 
 
 21.39 
 
 5.14 
 
 21.37 
 
 5.23 
 
 22 
 
 23 
 
 22.41 
 
 5.17 
 
 22.39 
 
 5.27 
 
 22.36 
 
 5.37 
 
 22.34 
 
 5.47 
 
 23 
 
 24 
 
 23.38 
 
 5.40 
 
 23.36 
 
 5.50 
 
 23.34 
 
 5.60 
 
 23.31 
 
 5.70 
 
 24 
 
 25 
 
 24.36 
 
 5.62 
 
 24.33 
 
 5.73 
 
 24.31 
 
 5.84 
 
 24.28 
 
 5.94 
 
 25 
 
 26 
 
 25.33 
 
 5.85 
 
 25.31 
 
 5.96 
 
 25.28 
 
 6.07 
 
 25.25 6.18 
 
 26 
 
 27 
 
 26.31 
 
 6.07 
 
 26.28 
 
 6.19 
 
 26.25 
 
 6.3-0 
 
 26.23 
 
 6.42 
 
 27 
 
 28 
 
 27.28 
 
 6.30 
 
 27.25 
 
 6.42 
 
 27.23 
 
 6.54 
 
 27.20 
 
 6.66 
 
 28 
 
 29 
 
 28.26 
 
 6.52 
 
 28.23 
 
 6.65 
 
 28.20 
 
 6.77 
 
 28.17 
 
 6.89 
 
 29 
 
 30 
 
 29.23 
 
 6.75 
 
 29.20 
 
 6.88 
 
 29.17 
 
 7.00 
 
 29.14 
 
 7.13 
 
 30 
 
 31 
 
 30.21 
 
 6.97 
 
 30.17 
 
 7.11 
 
 30.14 
 
 7.24 
 
 30.11 
 
 7.37 
 
 31 
 
 32 
 
 31.18 
 
 7.20 
 
 31.15 
 
 7.33 
 
 31.12 
 
 7.47 
 
 31.08 
 
 7.61 
 
 32 
 
 33 
 
 32.15 
 
 7.42 
 
 32.12 
 
 7.56 
 
 32.09 
 
 7.70 
 
 32.05 
 
 7.84 
 
 33 
 
 34 
 
 33.13 
 
 7.65 
 
 33.09 
 
 7.79 
 
 33.06 
 
 7.94 
 
 33.03 
 
 8.08 
 
 34 
 
 35 
 
 34.10 
 
 7.87 
 
 34.07 
 
 8.02 
 
 34.03 
 
 8.17 
 
 34 00 
 
 8.32 
 
 35 
 
 36 
 
 35.08 
 
 8.10 
 
 35.04 
 
 8.25 
 
 35.01 
 
 8.40 
 
 34.97 
 
 8.56 
 
 36 
 
 37 
 
 36.05 
 
 8.32 
 
 36.02 
 
 8.48 
 
 35.98 
 
 8.64 
 
 35.94 
 
 8.79 
 
 *37 
 
 38 
 
 37.03 
 
 8.55 
 
 36.99 
 
 8.71 
 
 36.95 
 
 8.87 
 
 36.91 
 
 9.03 
 
 38 
 
 39 
 
 38.00 
 
 8.77 
 
 37.96 
 
 8.94 
 
 37.92 
 
 9.10 
 
 37.88 
 
 9.27 
 
 39 
 
 40 
 
 38.97 
 
 9.00 
 
 38 . 94 
 
 9.17 
 
 38.89 
 
 9.34 
 
 38.85 
 
 9.51 
 
 40 
 
 41 
 
 39.95 
 
 9.22 
 
 39.91 
 
 9.40 
 
 39.87 
 
 9.57 
 
 39.83 
 
 9.75 
 
 41 
 
 42 
 
 40.92 
 
 9.45 
 
 40.88 
 
 9.63 
 
 40.84 
 
 9.80 
 
 40.80 
 
 9.98 
 
 42 
 
 43 
 
 41.90 
 
 9 67 
 
 41.86 
 
 9.86 
 
 41.81 
 
 10.04 
 
 41.77 
 
 10.22 
 
 43 
 
 44 
 
 42.87 
 
 9.90 
 
 42.83 
 
 19.08 
 
 42. 73 
 
 10.27 
 
 42.74 
 
 10.46 
 
 44 
 
 45 
 
 43.85 
 
 10.12 
 
 43.80 
 
 10.31 
 
 43.76 
 
 10.51 
 
 43.71 
 
 10.70 
 
 45 
 
 46 
 
 44.82 
 
 10.35 
 
 44.78 
 
 10.54 
 
 44.73 
 
 10.74 
 
 44.68 
 
 10.93 
 
 46 
 
 47 
 
 45.80 
 
 10.57 
 
 45.75 
 
 10.77 
 
 45.70 
 
 10.97 
 
 45.65 
 
 11.17 
 
 47 
 
 48 
 
 46 . 77 
 
 10.80 
 
 46.72 
 
 11.00 
 
 46 . 67 
 
 11.21 
 
 46.62 
 
 11.41 
 
 48 
 
 49 
 
 47.74 
 
 11.02 
 
 47.70 
 
 11.23 
 
 47.65 
 
 11.44 
 
 47.60 
 
 11.65 
 
 49 
 
 50 
 
 48.72 
 
 11.25 
 
 48.67 
 
 11.46 
 
 48.62 
 
 11.67 
 
 48.57 
 
 11.88 
 
 50 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 
 
 e 
 
 
 
 
 
 
 
 
 
 c 
 
 a 
 
 to 
 
 .el 
 
 77 Deg. 
 
 76| Deg. 
 
 76^ Deg. 
 
 76i Deg. 
 
 1 
 
 Q 
 
TRAVERSE TABLE. 
 
 d 
 
 13 Deg. 
 
 134 Deg. 
 
 13 Deg. 
 
 13| Deg. 
 
 O 
 
 w' 
 
 p" 
 
 
 
 
 
 1 
 
 i 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 P 
 
 ~M 
 
 49.69 
 
 11.47 
 
 49.64 
 
 TTVeT 
 
 49.59 
 
 11.91 
 
 49.54 
 
 12.12 
 
 51 
 
 52 
 
 50.67 
 
 11.70 
 
 50.62 
 
 11.92 
 
 50.56 
 
 12.14 
 
 50.51 
 
 12.36 
 
 52 
 
 53 
 
 51.64 
 
 11.92 
 
 51.59 
 
 12.15 
 
 51.54 
 
 12.37 
 
 51.48 
 
 12.60 
 
 53 
 
 54 
 
 52.62 
 
 12.15 
 
 52.56 
 
 12.38 
 
 52.51 
 
 12.61 
 
 52.45 
 
 12.84 
 
 54 
 
 55 
 
 53.59 
 
 12.37 
 
 53.54 
 
 12.61 
 
 53.48 
 
 12.84 
 
 53.42 
 
 13.07 
 
 55 
 
 56 
 
 54.56 
 
 12.60 
 
 54.51 
 
 12.84 
 
 54.45 
 
 13.07 
 
 54.40 
 
 13.31 
 
 56 
 
 57 
 
 55.54 
 
 12.82 
 
 55.48 
 
 13.06 
 
 55,43 
 
 13.31 
 
 55.37 
 
 13.55 
 
 57 
 
 58 
 
 56.51 
 
 13.05 
 
 56.46 
 
 rs.29 
 
 56.40 
 
 13.54 
 
 56.34 
 
 13.79 
 
 58 
 
 59 
 
 57.49 
 
 13.27 
 
 57.43 
 
 13.52 
 
 57.37 
 
 13.77 
 
 57.31 
 
 14.02 
 
 59 
 
 60 
 
 58.46 
 
 13.50 
 
 58.40 
 
 13.75 
 
 58.34 
 
 14.01 
 
 58.28 
 
 14.26 
 
 60 
 
 61 
 
 59.44 
 
 13.72 
 
 59.38 
 
 13.98 
 
 59.31 
 
 14.24 
 
 59.25 
 
 14.50 
 
 61 
 
 62 
 
 60.41 
 
 13.95 
 
 60.35 
 
 14.21 
 
 60.29 
 
 14.47 
 
 60.22 
 
 14.74 
 
 62 
 
 63 
 
 61.39 
 
 14.17 
 
 61.32 
 
 14.44 
 
 61.26 
 
 14.71 
 
 61.19 
 
 14.97 
 
 63 
 
 64 
 
 62.36 
 
 14.40 
 
 62.30 
 
 14.67 
 
 62.23 
 
 14.94 
 
 62.17 
 
 15.21 
 
 64 
 
 65 
 
 63.33 
 
 14.62 
 
 63.27 
 
 14.90 
 
 63.20 
 
 15.17 
 
 63.14 
 
 15.45 
 
 65 
 
 66 
 
 64.31 
 
 14.85 
 
 64.24 
 
 15.13 
 
 64.18 
 
 15.41 
 
 64.11 
 
 15.69 
 
 66 
 
 67 
 
 65.28 
 
 15.07 
 
 65.22 
 
 15.36 
 
 65.15 
 
 15.64 
 
 65.08 
 
 15.93 
 
 67 
 
 68 
 
 66.26 
 
 15.30 
 
 66.19 
 
 15.59 
 
 66.12 
 
 15.87 
 
 C6.05 
 
 16.16 
 
 68 
 
 69 
 
 67.23 
 
 15.52 
 
 67.16 
 
 15.81 
 
 67.09 
 
 16.11 
 
 67.02 
 
 16.40 
 
 69 
 
 70 
 
 68.21 
 
 15.75 
 
 68.14 
 
 16.04 
 
 68.07 
 
 16.34 
 
 67.99 
 
 16.64 
 
 70 
 
 71 
 
 69.18 
 
 15.97 
 
 69.11 
 
 16.27 
 
 69.04 
 
 16.57 
 
 68.97 
 
 16.88 
 
 71 
 
 72 
 
 70.15 
 
 16.20 
 
 70.08 
 
 16.50 
 
 70.01 
 
 16.81 
 
 69.94 
 
 17.11 
 
 72 
 
 73 
 
 71.13 
 
 16.42 
 
 71.06 
 
 16.73 
 
 70.98 
 
 17.04 
 
 70.91 
 
 17.35 
 
 73 
 
 74 
 
 72.10 
 
 16.65 
 
 72.03 
 
 16.96 
 
 71.96 
 
 17.28 
 
 71.88 
 
 17.59 
 
 74 
 
 75 
 
 73.08 
 
 16.87 
 
 73.00 
 
 17.19 
 
 72.93 
 
 17.50 
 
 72.85 
 
 17.83 
 
 75 
 
 76 
 
 74.05 
 
 17.10 
 
 73.98 
 
 17.42 
 
 73.90 
 
 17.74 
 
 73.82 
 
 18.06 
 
 76 
 
 77 
 
 75.03 
 
 17.32 
 
 74.95 
 
 17.65 
 
 74.87 
 
 17.98 
 
 74.79 
 
 18.30 
 
 77 
 
 78 
 
 76.00 
 
 17.55 
 
 75.92 
 
 17.88 
 
 75.84 
 
 18.21 
 
 75.76 
 
 18.54 
 
 78 
 
 79 
 
 70.98 
 
 17.77 
 
 76.90 
 
 18.11 
 
 76.82 
 
 18.44 
 
 76.74 
 
 18.78 
 
 79 
 
 80 
 
 77.95 
 
 18.00 
 
 77.87 
 
 18.34 
 
 77.79 
 
 18.68 
 
 77.71 
 
 19.01 
 
 80 
 
 81 
 
 78 . 92 
 
 18.22 
 
 78.84 
 
 18.57 
 
 78.76 
 
 18.91 
 
 78.68 
 
 19.25 
 
 81 
 
 82 
 
 79.90 
 
 18.45 
 
 79.82 
 
 18.79 
 
 79.73 
 
 19.14 
 
 79.65 
 
 19.49 
 
 82 
 
 83 
 
 80.87 
 
 18.67 
 
 80.79 
 
 19.02 
 
 80.71 
 
 19.38 
 
 80.62 
 
 19.73 
 
 83 
 
 84 
 
 81.85 
 
 18.90 
 
 81.76 
 
 19.25 
 
 81.68 
 
 19.61 
 
 81.59 
 
 19.97 
 
 84 
 
 85 
 
 82.82 
 
 19.12 
 
 82.74 
 
 19.48 
 
 82.65 
 
 19.84 
 
 82.56 
 
 20.20 
 
 85 
 
 86 
 
 83.80 
 
 19.35 
 
 83.71 
 
 19.71 
 
 83.62 
 
 20.08 
 
 83.54 
 
 20.44 
 
 86 
 
 87 
 
 84.77 
 
 19.57 
 
 84.68 
 
 19.94 
 
 84.60 
 
 20.31 
 
 84.51 
 
 20.68 
 
 87 
 
 88 
 
 85.74 
 
 19.80 
 
 85.66 
 
 20.17 
 
 85.57 
 
 20.54 
 
 85.48 
 
 20.92 
 
 88 
 
 89 
 
 86.72 
 
 20.02 
 
 86.63 
 
 20.40 
 
 86.54 
 
 20.78 
 
 86.45 
 
 21.15 
 
 89 
 
 90 
 
 87.69 
 
 20.25 
 
 87.60 
 
 20 . 63 
 
 87.51 
 
 21.01 
 
 87.42 
 
 21.39 
 
 90 
 
 91 
 
 88.67 
 
 20.47 
 
 88 . 58 
 
 20.86 ! 
 
 88.49 
 
 21.24 
 
 88.39 
 
 21.63 
 
 91 
 
 92 
 
 89.64 
 
 20.70 
 
 89.55 
 
 21.09 
 
 89.46 
 
 21.48 
 
 89.36 
 
 21.87 
 
 92 
 
 93 
 
 90.62 
 
 20.92 
 
 90.52 
 
 21.32 
 
 90.43 
 
 21.71 
 
 90.33 
 
 22.10 
 
 93 
 
 94 
 
 91.59 
 
 21.15 
 
 91.50 
 
 21.54 
 
 91.40 
 
 21.94 
 
 91.31 
 
 22.34 
 
 94 
 
 95 
 
 92.57 
 
 21.37 
 
 92.47 
 
 21.77 
 
 92.38 
 
 22.18 
 
 92.28 
 
 22.58 
 
 95 
 
 96 
 
 93.54 
 
 21.60 
 
 93.44 
 
 22.00 ! 93.35 
 
 22.41 
 
 93.25 
 
 22.82 
 
 96 
 
 97 
 
 94.51 
 
 21.82 
 
 94.42 
 
 22.23 I! 94.32 
 
 22.64 
 
 94.22 
 
 23.06 
 
 97 
 
 98 
 
 95.49 
 
 22,05 
 
 95.39 
 
 22.46 I 
 
 95.29 
 
 22.88 
 
 95.19 
 
 23.29 
 
 98 
 
 99 
 
 96.46 
 
 22.27 
 
 96.36 
 
 22.69 
 
 96.26 
 
 23.11 
 
 96.16 
 
 23.53 
 
 99 
 
 100 
 
 97.44 
 
 22.50 
 
 97.34 
 
 22.92 
 
 97.24 
 
 23.34 
 
 97.13 
 
 23.77 
 
 100 
 
 I 
 
 Dep. | Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 M 
 
 
 
 
 
 
 
 ct 
 
 3 
 
 77 Deg. 
 
 76| Deg. 
 
 76 Deg. 
 
 76J Deg. 
 
 5 
 
ao 
 
 TRAVEKsE ABLE. 
 
 o 
 
 14 Deg. 
 
 14i Deg. 
 
 14| Deg. 
 
 u{ Deg. 
 
 O 
 
 an' 
 
 1 
 
 
 
 
 
 " 
 
 p 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 P 
 
 1 
 
 0.97 
 
 0.24 
 
 0.97 
 
 0.25 
 
 0.97 
 
 0.25 
 
 0.97 
 
 0.25 
 
 l 
 
 2 
 
 1.94 
 
 0.48 
 
 1.94 
 
 0.49 
 
 1.94 
 
 0.50 
 
 1.93 
 
 0.51 
 
 2 
 
 3 
 
 2.91 
 
 0.73 
 
 2.91 
 
 0.74 
 
 2.90 
 
 0.75 
 
 2.90 
 
 0.76 
 
 3 
 
 4 
 
 3.88 
 
 0.97 
 
 3.88 
 
 0.98 
 
 3.87 
 
 1.00 
 
 3.87 
 
 1.02 
 
 4 
 
 5 
 
 4.85 
 
 1.21 
 
 4.85 
 
 1.23 
 
 4.84 
 
 1.25 
 
 4.84 
 
 1.27 
 
 5 
 
 6 
 
 5.82 
 
 1.45 
 
 5.82 
 
 1.48 
 
 5.81 
 
 1.50 
 
 5.80 
 
 1.53 
 
 6 
 
 7 
 
 6.79 
 
 1.69 
 
 6.78 
 
 1.72 
 
 6.78 
 
 1.75 
 
 6.77 
 
 1.78 
 
 7 
 
 8 
 
 7.76 
 
 1.94 
 
 7.75 
 
 1.97 
 
 7.75 
 
 2.00 
 
 7.74 
 
 2.04 
 
 8 
 
 9 [ 8.73 
 
 2.18 
 
 8.72 
 
 2.22 
 
 8.71 
 
 2.25 
 
 8.70 
 
 2.29 
 
 9 
 
 10 9.70| 2.42 
 
 9.69 
 
 2.46 
 
 9.63 
 
 2.50 
 
 9.67 
 
 2.55 
 
 10 
 
 11 10.671 2.66 
 
 10.66 
 
 2.71 
 
 10.65 
 
 2 . 75 
 
 10.64 
 
 2.80 
 
 11 
 
 12 11.64 
 
 2.90 j 
 
 11.63 
 
 2.95 
 
 ] 1 . 62 
 
 3.00 
 
 11.60 
 
 3.06 
 
 12 
 
 13 
 
 12.61 
 
 3.15 
 
 12.60 
 
 3.20 
 
 12.59 
 
 3.25 
 
 12.57 
 
 3.31 
 
 13 
 
 14 
 
 13.58 
 
 3.39 
 
 13.57 
 
 3.45 
 
 13.55 
 
 3.51 
 
 13.54 
 
 3.56 
 
 14 
 
 15 
 
 14.55 
 
 3.63 
 
 14.54 
 
 3.69 
 
 14.52 
 
 3.76 
 
 14.51 
 
 3.82 
 
 15 
 
 16 
 
 15.52 
 
 3.87 
 
 15.51 
 
 3.94 
 
 15.49 
 
 4.01 
 
 15.47 
 
 4.07 
 
 16 
 
 17 
 
 16.50 
 
 4.11 
 
 16.43 
 
 4.18 
 
 16.46 
 
 4.26 
 
 16.44 
 
 4.33 
 
 17 
 
 18 
 
 17.47 
 
 4.35 
 
 17.45 
 
 4.43 
 
 17.43 
 
 4.51 
 
 17.41 
 
 4.58 
 
 18 
 
 19 
 
 18.44 
 
 4.60 
 
 18.42 
 
 4.63 
 
 18.39 
 
 4.76 
 
 18.37 
 
 4.84 
 
 19 
 
 20 
 
 19.41 
 
 4.84 
 
 19.38 
 
 4.92 
 
 19.36 
 
 5.01 
 
 19.34 
 
 5.09 
 
 20 
 
 21 
 
 20.38 
 
 5.08 
 
 20.35 
 
 5.17 
 
 20.33 
 
 5.26 
 
 20.31 
 
 5.35 
 
 21 
 
 22 
 
 21.35 
 
 5.32 
 
 21.32 
 
 5.42 
 
 21.30 
 
 5.51 
 
 21.28 
 
 5.60 
 
 22 
 
 23 
 
 22.32 
 
 5,56- 
 
 22 . 29 
 
 5.66 
 
 22.27 
 
 5.76 
 
 22.24 
 
 5.86 
 
 23 
 
 21 
 
 23.99 
 
 5.81 
 
 23 . 26 
 
 5.91 
 
 23.24 
 
 6.01 
 
 23.21 
 
 6.11 
 
 24 
 
 25 
 
 24.26 
 
 6.05 
 
 24.23 
 
 6.15 
 
 24.20 
 
 6.26 
 
 24.18 
 
 6.37 
 
 25 
 
 26 
 
 25.23 
 
 6.29 
 
 25 . 20 
 
 6.40 
 
 25.17 
 
 6.51 
 
 25.14 
 
 6.62 
 
 26 
 
 27 
 
 26.20 
 
 6.53 
 
 26.17 
 
 6.65 
 
 26.14 
 
 6.76 
 
 26.11 
 
 6.87 
 
 27 
 
 28 
 
 27.17 
 
 6.77 
 
 27.14 
 
 6.89 
 
 27.11 
 
 7.01 
 
 27.03 
 
 7.13 
 
 28 
 
 29 
 
 23.14 
 
 7.02 
 
 28.11 
 
 7.14 
 
 28.08 
 
 7.26 
 
 23.04 
 
 7.3S. 
 
 29 
 
 30 
 
 29.11 
 
 7.26 
 
 29.08 
 
 7.38 
 
 29.04 
 
 7.51 
 
 29.01 
 
 7 . 04 
 
 30 
 
 31 
 
 30.08 
 
 7.50 
 
 30.05 
 
 7.63 
 
 30.01 
 
 7.76 
 
 29.93 
 
 7.39 
 
 31 
 
 32 
 
 31.05 
 
 7.74 
 
 31.02 
 
 7.88 
 
 30.98 
 
 8.01 
 
 33.95 
 
 8.15 
 
 32 
 
 33 
 
 32.02 
 
 7.98 
 
 31.98 
 
 8.12 
 
 31.95 
 
 8.25 
 
 31.91 
 
 8.40 
 
 33 
 
 34 
 
 32 . 99 
 
 8.23 
 
 32.95 
 
 8.37 
 
 32 92 
 
 8.51 
 
 32.88 
 
 8.60 
 
 34 
 
 35 
 
 33.96 
 
 8.47 
 
 33.92 
 
 8.62 
 
 33.89 
 
 8.76 
 
 33.85 
 
 8.91 
 
 35 
 
 36 
 
 34.93 
 
 8.71 
 
 34.89 
 
 8.86 
 
 34.85 
 
 9.01 
 
 34.81 
 
 9.17 
 
 35 
 
 37 
 
 35.90 
 
 8.95 
 
 35 . 86 
 
 9.11 
 
 35.82 
 
 9.26 
 
 35 . 78 
 
 9.42 
 
 37 
 
 38 
 
 36.87 
 
 9.19 
 
 36.83 
 
 9.35 
 
 36 . 79 
 
 9.51 
 
 36 . 75 
 
 9.67 
 
 33 
 
 39 
 
 37 . 84 
 
 9.44 
 
 37.80 
 
 9.00 
 
 37.76 
 
 9.76 
 
 37.71 
 
 9.93 
 
 39 
 
 40 
 
 33.81 
 
 9 . 68 
 
 38 . 77 
 
 9.85 
 
 33 . 73 
 
 10.02 
 
 33 . 63 
 
 10.18 
 
 40 
 
 41 
 
 39.78 9.92 
 
 39 . 74 
 
 10.09 
 
 39 . 69 
 
 10.27 
 
 39 . 65 
 
 10.44 
 
 41 
 
 42 
 
 40.75 10.16 
 
 40.71 
 
 10.34 
 
 40.66 
 
 10.52 
 
 40.62 
 
 10.69 
 
 42 
 
 43 
 
 41.72 10.40 
 
 41.68 
 
 10.58 
 
 41.63 
 
 10.77 
 
 41.58 
 
 10.95 
 
 43 
 
 44 
 
 42.69 
 
 10.64 
 
 42.65 
 
 10.83 
 
 42.60 
 
 11.02 
 
 42.55 
 
 11.20 
 
 44 
 
 45 
 
 43.66 
 
 10.89 
 
 43 . 62 
 
 11.03 
 
 43.57 
 
 11.27 
 
 43.52 
 
 11.46 
 
 45 
 
 46 
 
 44.63! 11.13 
 
 44.58 
 
 1 1 . 32 
 
 44.53 
 
 1 1 . 52 
 
 44.48 
 
 11.71 
 
 46 
 
 47 
 
 45.60! 11.37 
 
 45 . 55 
 
 1 1 . 57 
 
 45.50 
 
 11.77 
 
 45.45 
 
 11.97 
 
 47 
 
 48 
 
 46.57 11.61 
 
 46 . 52 
 
 11.82 
 
 46.47 
 
 12.02 
 
 46.42 
 
 12.22 
 
 48 
 
 49 
 
 47.54 11.85 
 
 47.49 
 
 12.06 
 
 47.44 
 
 12.27 
 
 47.39 
 
 12.48 
 
 49 
 
 50 
 
 48.51 
 
 12.10 
 
 48.46 
 
 12.31 
 
 48.41 
 
 12.52 
 
 48.35 
 
 12.73 
 
 50 
 
 c 
 
 o 
 
 c 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 w 
 
 to 
 
 
 
 
 
 1 
 
 s 
 
 76 Deg. 
 
 751 Deg. 
 
 751 Deg. 
 
 75} Deg. 
 
 s 
 
TR VERSE TABLE. 
 
 31 
 
 d 
 
 14 Deg. 
 
 144 Deg. 
 
 14 Deg. 
 
 14} Deg. 
 
 O 
 
 1 
 
 
 
 
 
 5" 
 
 p 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 p 
 
 51 
 
 49.49 
 
 12.34 
 
 49.43 
 
 12.55 
 
 49.38 
 
 12.77 
 
 49.32 
 
 12.98 
 
 51 
 
 52 
 
 50.46 
 
 12.58 
 
 50.40 
 
 12.80 
 
 50.34 
 
 13.02 
 
 50.29 
 
 13.24 
 
 52 
 
 53 
 
 51.43 
 
 12.82 
 
 51.37 
 
 13.05 
 
 51.31 
 
 13.27 
 
 51.25 
 
 13.49 
 
 53 
 
 54 
 
 52.40 
 
 13.06 
 
 52.34 
 
 13.29 
 
 52.28 
 
 13.52 
 
 52.22 
 
 13.75 
 
 54 
 
 55 
 
 53.37 
 
 13.31 
 
 53.31 
 
 13.54 
 
 53.25 
 
 13.77 
 
 53.19 
 
 14.00 
 
 55 
 
 56 
 
 54.34 
 
 13.55 
 
 54.28 
 
 13.78 
 
 54.22 
 
 14.02 
 
 54.15 
 
 14.26 
 
 56 
 
 57 
 
 55.31 
 
 13.79 
 
 55.25 
 
 14.03 
 
 55.18 
 
 14.27 
 
 55.12 
 
 14.51 
 
 57 
 
 58 
 
 56.28 
 
 14.03 
 
 56.22 
 
 14.28 
 
 56.15 
 
 14.52 
 
 56.09 
 
 14.77 
 
 58 
 
 59 
 
 57.25 
 
 14.27 
 
 57.18 
 
 14.52 
 
 57.12 
 
 14.77 
 
 57.06 
 
 15.02 
 
 59 
 
 60 
 
 58.22 
 
 14.52 
 
 58.15 
 
 14.77 
 
 58.09 
 
 15.02 
 
 58.02 
 
 15.28 
 
 60 
 
 61 
 
 59.19 
 
 14.76 
 
 59.12 
 
 15.02 
 
 59.06 
 
 15.27 
 
 58.99 
 
 15.53 
 
 61 
 
 62 
 
 60.16 
 
 15.00 
 
 60.09 
 
 15.26 
 
 60.03 
 
 15.52 
 
 59 . 96 
 
 15.79 
 
 62 
 
 63 
 
 61.13 
 
 15.24 
 
 61.06 
 
 15.51 
 
 60.99 
 
 15.77 
 
 60.92 
 
 16.04 
 
 63 
 
 64 
 
 62.10 
 
 15.48 
 
 62.03 
 
 15.75 
 
 61.96 
 
 16.02 
 
 61.89 
 
 16.29 
 
 64 
 
 65 
 
 63.07 
 
 15.72 
 
 63.00 
 
 16.00 
 
 62.93 
 
 16.27 
 
 62.86 
 
 16.55 
 
 65 
 
 66 
 
 64.04 
 
 15.97 
 
 63.97 
 
 16.25 
 
 63.90 
 
 16.53 
 
 63.83 
 
 16.80 
 
 66 
 
 67 
 
 65.01 
 
 16.21 
 
 64.94 
 
 16.49 
 
 64.87 
 
 16.78 
 
 64.79 
 
 17.06 
 
 67 
 
 68 
 
 65 . 98 
 
 16.45 
 
 65.91 
 
 16.74 
 
 65.83 
 
 17.03 
 
 65.76 
 
 17.31 
 
 68 
 
 69 
 
 66.95 
 
 16.69 
 
 66.88 
 
 16.98 
 
 66.80 
 
 17.28 
 
 66.73 
 
 17.57 
 
 69 
 
 70 
 
 67.92 
 
 16.93 
 
 67.85 
 
 17.23 
 
 67.77 
 
 17.53 
 
 67.69 
 
 17.82 
 
 70 
 
 71 
 
 68.89 
 
 17.18 
 
 68.82 
 
 17.48 
 
 68.74 
 
 17.78 
 
 68.66 
 
 18.08 
 
 71 
 
 72 
 
 69.86 
 
 17.42 
 
 69.78 
 
 17.72 
 
 69.71 
 
 18.03 
 
 69.63 
 
 18.33 
 
 72 
 
 73 
 
 70.83 
 
 17.66 
 
 70.75 
 
 17.97 
 
 70.67 
 
 18.28 
 
 70.59 
 
 18.59 
 
 73 
 
 74 
 
 71.80 
 
 17.90 
 
 71.72 
 
 18.22 
 
 71.64 
 
 18.53 
 
 71.56 
 
 18.84 
 
 74 
 
 75 
 
 72 . 77 
 
 18.14 
 
 72.69 
 
 18.46 
 
 72.61 
 
 18.78 
 
 72.53 
 
 19.10 
 
 75 
 
 76 
 
 73.74 
 
 18.39 
 
 73.66 
 
 18.71 
 
 73.58 
 
 19.03 
 
 73.50 
 
 19.35 
 
 76 
 
 77 
 
 74.71 
 
 18.63 
 
 74.63 
 
 18.95 
 
 74.55 
 
 19.28 
 
 74.46 
 
 19.60 
 
 77 
 
 78 
 
 75.68 
 
 18.87 
 
 75.60 
 
 19.20 
 
 75.52 
 
 19.53 
 
 75.43 
 
 19.86 
 
 78 
 
 79 
 
 76.65 
 
 19.11 
 
 76.57 
 
 19.45 
 
 76.48 
 
 19.78 
 
 76.40 
 
 20.11 
 
 79 
 
 80 
 
 77.62 
 
 19.35 
 
 77.54 
 
 19.69 
 
 77.45 
 
 20.03 
 
 77.36 
 
 20 . 37 
 
 80 
 
 81 
 
 78.59 
 
 19.60 
 
 78.51 
 
 19.94 
 
 78.42 
 
 20.28 
 
 78.33 
 
 20.62 
 
 81 
 
 82 
 
 79.56 
 
 19.84 
 
 79.48 
 
 20.18 
 
 79.39 
 
 20 . 53 
 
 79.30 
 
 20.88 
 
 82 
 
 83 
 
 80.53 
 
 20.08 
 
 80.45 
 
 20.43 
 
 80.36 
 
 20 . 78 
 
 80.26 
 
 21.13 
 
 83 
 
 84 
 
 81.50 
 
 20.32 
 
 81.42 
 
 20.68 
 
 81.32 
 
 21.03 
 
 81.23 
 
 21.39 
 
 84 
 
 85 
 
 82.48 
 
 20.56 
 
 82.38 
 
 20.92 
 
 82.29 
 
 21.28 
 
 82.20 
 
 21.64 
 
 85 
 
 86 
 
 83.45 
 
 20.81 
 
 83.35 
 
 21.17 
 
 83.26 
 
 21.53 
 
 83.17 
 
 21.90 
 
 86 
 
 87 
 
 84.42 
 
 21.05 
 
 84.32 
 
 21.42 
 
 84.23 
 
 21.78 
 
 84.13 
 
 22.15 
 
 87 
 
 88 
 
 85 . 39 
 
 21.29 
 
 85 . 29 
 
 21.66 
 
 85.20 
 
 22.03 
 
 85.10 
 
 22.41 
 
 88 
 
 89 
 
 86.36 
 
 21.53 
 
 86.26 
 
 21.91 
 
 86.17 
 
 22.28 
 
 86.07 
 
 22.66 
 
 89 
 
 90 
 
 87.33 
 
 21.77 
 
 87.23 
 
 22.15 
 
 87.13 
 
 22 . 53 
 
 87.03 
 
 22.91 
 
 90 
 
 91 
 
 88.30 
 
 22.01 
 
 88.20 
 
 22.40 
 
 88.10 
 
 22 . 78 
 
 88.00 
 
 23.17 
 
 91 
 
 92 
 
 89.27 
 
 22.26 
 
 89.17 
 
 22.65 
 
 89.07 
 
 23.04 
 
 88.97 
 
 23.42 
 
 92 
 
 93 
 
 90.24 
 
 22.50 
 
 90.14 
 
 22.89 
 
 90.04 
 
 23.29 
 
 89.94 
 
 23.68 
 
 93 
 
 94 
 
 91.21 
 
 22.74 
 
 91.11 
 
 23.14 
 
 91.01 
 
 23.54 
 
 90.90 
 
 23.93 
 
 94 
 
 95 
 
 92.18 
 
 22.98 
 
 92.08 
 
 23.38 
 
 91.97 
 
 23.79 
 
 91.87 
 
 24.19 
 
 95 
 
 96 
 
 93.15 
 
 23.22 
 
 93.05 
 
 23.63 
 
 92.94 
 
 24.04 
 
 92.84 
 
 24.44 
 
 96 
 
 97 
 
 94.12 
 
 23.47 
 
 94.02 
 
 23.88 
 
 93.91 
 
 24.29 
 
 93.80 
 
 24.70 
 
 97 
 
 98 
 
 95.09 
 
 23.71 
 
 94.98 
 
 24.12 
 
 94.88 
 
 24.54 
 
 94.77 
 
 24.95 
 
 98 
 
 99 
 
 96.06 
 
 23 9i. 
 
 95.95 
 
 24.37 
 
 95.85 
 
 24.79 
 
 95.74 
 
 25.21 
 
 Q9 
 
 100 
 
 97.03 
 
 24.19 
 
 96.92 
 
 24.62 
 
 96.81 
 
 25.04 
 
 96.70 
 
 25.46 
 
 100 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 S 
 
 fl 
 
 P 
 
 76 Deg. 
 
 75| Deg. 
 
 75i Deg. 
 
 75} Deg. 
 
 la 
 
 Q 
 
TRAVERSE TABLE. 
 
 o 
 
 p 
 
 15 Deg. 
 
 15} Deg. 
 
 15 Deg. 
 
 15| Deg. 
 
 O 
 5" 
 
 P 
 
 o 
 o 
 
 Lat. I Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 3 
 O 
 
 CD 
 
 1 
 
 0.97~ 
 
 0.26 
 
 0.96 
 
 ~0.26 
 
 0.96 
 
 0.27 
 
 0.96 
 
 0.27 
 
 T 
 
 2 
 
 1.93 
 
 0.52 
 
 1.93 
 
 0.53 
 
 1.93 
 
 . 53 
 
 1.92 
 
 0.54 
 
 2 
 
 3 
 
 2.90 
 
 0.78 
 
 2.89 
 
 0.79 
 
 2.89 
 
 0.80 
 
 2.89 
 
 0.81 
 
 3 
 
 4 
 
 3.86 
 
 1.04 
 
 3.86 
 
 1.05 
 
 3.85 
 
 1.07 
 
 3.85 
 
 1.09 
 
 4 
 
 5 
 
 4.83 
 
 1.29 
 
 4.82 
 
 1.32 
 
 4.82 
 
 1.34 
 
 4.81 
 
 1.36 
 
 5 
 
 6 
 
 5.80 
 
 1.55 
 
 5.79 
 
 1.58 
 
 5.78 
 
 1.60 
 
 5.77 
 
 1.63 
 
 6 
 
 7 
 
 6.76 
 
 1.81 
 
 6.75 
 
 1.84 
 
 6.75 
 
 1.87 
 
 6.74 
 
 1.90 
 
 7 
 
 8 
 
 7.73 
 
 2.07 
 
 7.72 
 
 2.10 
 
 7.71 
 
 2.14 
 
 7.70 
 
 2.17 
 
 8 
 
 9 
 
 8.69 
 
 2 .'33 
 
 8.68 
 
 2.37 
 
 8.67 
 
 2.41 
 
 8.66 
 
 2.44 
 
 9 
 
 10 
 
 9.66 
 
 2.59 
 
 9.65 
 
 2.63 
 
 9.64 
 
 2.67 
 
 9.62 
 
 2.71 
 
 10 
 
 11 
 
 10.63 
 
 2.85 
 
 10.61 
 
 2.89 
 
 10.60 
 
 2.94 
 
 10.59 
 
 2.99 
 
 11 
 
 12 
 
 11.59 
 
 3.11 
 
 1 1 . 58 
 
 3.16 
 
 11.56 
 
 3.21 
 
 11.55 
 
 3.26 
 
 12 
 
 13 
 
 12.56 
 
 3.36 
 
 12.54 
 
 3.42 
 
 12.53 
 
 3.47 
 
 12.51 
 
 3.53 
 
 13 
 
 14 
 
 13.52 
 
 3.62 
 
 13.51 
 
 3.68 
 
 13.49 
 
 3.74 
 
 13.47 
 
 3.80 
 
 14 
 
 15 
 
 14.49 
 
 3.88 
 
 14.47 
 
 3.95 
 
 14.45 
 
 4.01 
 
 14.44 
 
 4.07 
 
 15 
 
 16 
 
 15.45 
 
 4.14 
 
 15.44 
 
 4.21 
 
 15/42 
 
 4.28 
 
 15.40 
 
 4.34 
 
 16 
 
 17 
 
 16.42 
 
 4.40 
 
 16.40 
 
 4.47 
 
 16.38 
 
 4.54 
 
 16.36 
 
 4.61 
 
 17 
 
 18 
 
 17.39 
 
 4.68 
 
 17.37 
 
 4.73 
 
 17.35 
 
 4.81 
 
 17.32 
 
 4.89 
 
 18 
 
 19 
 
 18.35 
 
 4.92 
 
 18.33 
 
 5.00 
 
 18.31 
 
 5.08 
 
 18.29 
 
 5.16 
 
 19 
 
 20 
 
 19.32 
 
 5.18 19.30 
 
 5.26 
 
 19.27 
 
 5.34 
 
 19.25 
 
 5.43 
 
 20 
 
 21 
 
 20 . 28 
 
 5 .44 20 . 26 
 
 5 . 52 
 
 20". 24 
 
 5.61 | 
 
 20.21 
 
 5.70 
 
 21 
 
 22 
 
 21.25 
 
 5.69 i 21.23 
 
 5.79 
 
 21.20 
 
 5.88 | 
 
 21.17 
 
 5.97 
 
 22 
 
 23 
 
 22 . 22 
 
 5.95 22.19 
 
 6.0;3 
 
 22.16 
 
 6.15 22.14 
 
 6.24 
 
 23 
 
 24 
 
 23.18 
 
 6.21 
 
 23.15 
 
 6.31 
 
 23.13 
 
 6.41 
 
 23.10 
 
 6.51 
 
 24 
 
 25 
 
 24.15 
 
 6.47 
 
 24.12 
 
 6. 58 
 
 24.09 
 
 6.68 
 
 24.06 
 
 6.79 
 
 25 
 
 26 
 
 25 . 1 1 
 
 6.73 
 
 25 . 08 
 
 6.84 
 
 25.05 
 
 6.95 
 
 25.02 
 
 7.06 
 
 26 
 
 27 
 
 26.08 
 
 6.99 
 
 26.05 
 
 7.10 
 
 26.02 
 
 7.22 
 
 25 . 99 
 
 7.33 
 
 27 
 
 28 
 
 27 . 05 
 
 7.25 
 
 27.01 
 
 7.38 
 
 28.98 
 
 7.48 
 
 28.95 
 
 7.60 
 
 28 
 
 29 
 
 28.01 
 
 7.51 
 
 27 . 98 
 
 7.63 
 
 27.95 
 
 7.75 
 
 27.91 
 
 7.87 
 
 29 
 
 30 
 
 28 . 98 
 
 7.76 
 
 28 . 94 
 
 7.89 
 
 28.91 
 
 8.02 
 
 28.87 
 
 8.14 
 
 30 
 
 31 29.94 
 
 8.02 
 
 29.91J 8.151 
 
 29.87 
 
 8.28 
 
 29.84 
 
 8.41 
 
 31 
 
 32 
 
 30 . 9 1 
 
 8.28 
 
 30.87 8.42 
 
 30.84 
 
 8.55 
 
 30.80 
 
 8.69 
 
 32 
 
 33 
 
 31.88 
 
 8.54 
 
 31.84 
 
 8.68 ! 
 
 31.80 
 
 8.82 
 
 31.76 
 
 8.96 
 
 33 
 
 34 
 
 32 . 84 
 
 8,80 
 
 32.80 
 
 8.94 
 
 32.76 
 
 9.09 
 
 32 . 72 
 
 9.23 
 
 34 
 
 35 
 
 33.81 
 
 9.06 
 
 33 . 77 
 
 9.21 
 
 33 . 73 
 
 9.35 
 
 33.69 
 
 9.50 
 
 35 
 
 36 
 
 34.77 
 
 9.32 
 
 34.73 
 
 9.47 
 
 34.69 
 
 9 . 62 
 
 34.65 
 
 9.77 
 
 36 
 
 37 
 
 35 . 74 
 
 9.5S 
 
 35 . 70 
 
 9.73 
 
 35.65 
 
 9.89 
 
 35.61 
 
 10.04 
 
 37 
 
 38 
 
 36.71 
 
 9.84 
 
 36.68 
 
 10.00 
 
 35.62 
 
 10.16 
 
 36 . 57 
 
 10.31 
 
 38 
 
 39 
 
 37.67 
 
 10.09 
 
 37.63 
 
 10.26 | 
 
 37.58 
 
 10.42 
 
 37 . 54 
 
 10.59 
 
 39 
 
 40 
 
 38.64 
 
 10.35 
 
 33 . 59 
 
 10.52' 
 
 33 . 55 
 
 10.69 
 
 38.50 
 
 10.86 
 
 40 
 
 41 
 
 39.60 ! 10.61 
 
 39.56 
 
 10.78 
 
 39 . 5 i 
 
 10.96 
 
 39.46 
 
 11.13 
 
 41 
 
 42 
 
 40.57 10.87 
 
 40.52 1 , 11.05 
 
 40.47 
 
 11.22 
 
 40.42 
 
 11.40 
 
 42 
 
 43 
 
 41.53 11.13 41.49 
 
 11.31 
 
 41.44 
 
 11.49 
 
 41.39 
 
 11.67 
 
 43 
 
 44 
 
 42.50 11.39 ! 42.45 
 
 1 1 . 57 
 
 42.40' 
 
 11.76 
 
 42.35 
 
 11.94 
 
 44 
 
 45 
 
 43.47 11.65 
 
 43.42 11.84 
 
 43.36 
 
 12.03 
 
 43.31 
 
 12.21 
 
 45 
 
 46 44.43 11.91 
 
 44.38 12.10 
 
 44.33 
 
 12.29 
 
 44.27 
 
 12.49 
 
 46 
 
 47 45.40 12.16i 45.35 12.36 
 
 45.29 
 
 12.56 
 
 45.24 
 
 12.76 
 
 47 
 
 48 46.36 
 
 12.42:146.31 12.63 
 
 46.25 
 
 12.83 
 
 46.20 13.03 
 
 48 
 
 49 
 
 47.33 
 
 12.68:47.27 12.89 
 
 47.22- 
 
 13.09 
 
 47.16 13.30 
 
 49 
 
 50 
 
 48.30 12. 94i 48. 24 13.15 
 
 48.18 
 
 13.36 
 
 48.12 13.57 
 
 50 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 0> 
 
 a 
 
 JH 
 
 j| 
 
 
 
 
 5 
 
 75 Deg. 74 Deg. 
 
 74 Deg. 
 
 74} Deg. 
 
 s 
 
 O 
 
TH AVERSE TABLE. 
 
 
 
 15 Deg. 
 
 15$ Deg. 
 
 15| Deg. 
 
 15| Deg. 
 
 O 
 
 p" 
 
 
 
 
 
 ? 
 
 p 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 P 
 
 51 
 
 49.26 
 
 13.20 
 
 49.20 
 
 13.41 
 
 49.15 
 
 13.63 
 
 49.09 
 
 13.84 
 
 51 
 
 52 
 
 50 . 23 
 
 13.46 
 
 50.17 
 
 13.68 
 
 50 . 1 1 
 
 13.90 
 
 50.05 
 
 14.11 
 
 52 
 
 53 151.19 
 
 13.72 
 
 51.13 
 
 13.94 
 
 51.07 
 
 14.16 
 
 51.01 
 
 14.39 
 
 53 
 
 54 
 
 52.16 
 
 13.98 
 
 52.10 
 
 14.20 
 
 52.04 
 
 14.43 
 
 51.97 
 
 14.66 
 
 54 
 
 55 
 
 53.13 
 
 14.24 
 
 53.06 
 
 14.47 
 
 53.00 
 
 14.70 
 
 52 . 94 
 
 14.93 
 
 55 
 
 56 
 
 54.09 
 
 14.49 
 
 54.03 
 
 J4.73 
 
 53.96 
 
 14.97 
 
 53 . 90 
 
 15.20 
 
 56 
 
 57 
 
 55.06 
 
 14.751 
 
 54.99 
 
 14.99 
 
 54.93 
 
 15.23 
 
 54.86 
 
 15.47 
 
 57 
 
 58 
 
 56.02 
 
 15.01 
 
 55.96 
 
 15.26 
 
 55.89 
 
 15.50 
 
 55.82 
 
 15.74 
 
 58 
 
 59 
 
 56 . 99 
 
 15.27 
 
 56.92 
 
 15.52 
 
 56.85 
 
 15.77 
 
 56 . 78 
 
 16.01 
 
 59 
 
 60 
 
 57.96 
 
 15.53 
 
 57.89 
 
 15.78 
 
 57.82 
 
 16.03 
 
 57 . 75 
 
 16.29 
 
 60 
 
 61 
 
 58.92 
 
 15.79 
 
 58 , 85 
 
 16.04 
 
 58.78 
 
 16.30 
 
 58.71 
 
 16.56 
 
 61 
 
 62 
 
 59.89 
 
 16.05 
 
 59.82 
 
 16.31 
 
 59 . 75 
 
 16.57 
 
 59.67 
 
 16.83 
 
 62 
 
 63 
 
 60.85 
 
 16.31 
 
 60.78 
 
 16.57 
 
 60.71 
 
 16.84 
 
 60.63 
 
 17.10 
 
 63 
 
 64 
 
 61.82 
 
 16.56 
 
 61.75 
 
 16.83 
 
 61.67 
 
 17.10 
 
 61.60 
 
 17.37 
 
 64 
 
 65 
 
 62.79 
 
 16.82 
 
 62.71 
 
 17.10 
 
 62.64 
 
 17.37 
 
 62.56 
 
 17.64 
 
 65 
 
 66 
 
 63.75 
 
 17.08 
 
 63.68 
 
 17.35 
 
 63 . 60 
 
 17.64 
 
 63.52 
 
 17.92 
 
 66 
 
 67 
 
 64.72 
 
 17.34 
 
 64.64 
 
 17.62 
 
 64.56 
 
 17.90 
 
 64.48 
 
 18.19 
 
 67 
 
 68 
 
 65.68 
 
 17.60 
 
 65.61 
 
 17.89 
 
 65 . 53 
 
 18.17 
 
 65.45 
 
 18.46 
 
 68 
 
 69 
 
 66 . 65 
 
 17.86 
 
 66.57 
 
 18.15 
 
 66.49 
 
 18.44 
 
 66.41 
 
 1 8 . 73 
 
 69 
 
 70 
 
 67.61 
 
 18.12 
 
 67.54 
 
 18.41 
 
 67.45 
 
 18.71 
 
 67.37 
 
 19.00 
 
 70 
 
 71 
 
 68.58 
 
 18.38 
 
 68 . 50 
 
 18.68 
 
 68.42 
 
 18.97 
 
 68.33 
 
 19.27 
 
 71 
 
 72 
 
 69 . 55 
 
 18.63 
 
 69.46 
 
 18.94 
 
 69.38 
 
 19.24 
 
 69.30 19.54 
 
 72 
 
 73 
 
 70.51 
 
 18.89 
 
 70.43 
 
 19.20 
 
 70.35 
 
 19.51 
 
 70.26 
 
 19.82 
 
 73 
 
 74 
 
 71.48 
 
 19.15 
 
 71.39 
 
 19.46 
 
 71.31 
 
 19.78 
 
 71.22 
 
 20.09 
 
 74 
 
 75 
 
 72.44 
 
 19.41 
 
 72 . 36 
 
 19.73 
 
 72.27 
 
 20.04 
 
 72.18 
 
 20.36 
 
 75 
 
 76 
 
 73.41 
 
 19.67 
 
 73 . 32 
 
 19.99 
 
 73 . 24 
 
 20.31 
 
 73.15 
 
 20 . 63 
 
 76 
 
 77 
 
 74.38 
 
 19.93 
 
 74.29 
 
 20 . 25 
 
 74.20 
 
 20 . 58 
 
 74.11 
 
 20.90 
 
 77 
 
 78 
 
 75 . 34 
 
 20.19 
 
 75.25 
 
 20.52 1 75.16 
 
 20.84 
 
 75.07 
 
 21.17 
 
 78 
 
 79 
 
 76.31 
 
 20.45 
 
 76 . 22 
 
 20.78 76.13 
 
 21.11 
 
 76.03 
 
 21.44 
 
 79 
 
 80 
 
 77.27 
 
 20.71 
 
 77.18 
 
 21.04 1 77.09 
 
 21.38 
 
 77.00 
 
 21.72', 80 
 
 81 
 
 78.24 
 
 20.96 
 
 78.15 
 
 21.31 
 
 78.05 
 
 21.65 
 
 77.96 
 
 21.99 .81 
 
 82 
 
 79.21 
 
 21.22 
 
 79.11 
 
 21.57 
 
 79.02 
 
 21.91 
 
 78 . 92 
 
 22.26 
 
 82 
 
 83 
 
 80.17 
 
 21.48 
 
 80.08 
 
 21.83 
 
 79.98 
 
 22.18 
 
 79 . 88 
 
 22 . 53 
 
 83 
 
 84 
 
 81.14 
 
 21.74 
 
 81.04 
 
 22.09 
 
 80.94 
 
 22.45 
 
 80.85 
 
 22.80 
 
 84 
 
 85 
 
 82.10 
 
 22.00 
 
 82.01 
 
 22.36 
 
 81.91 
 
 22 . 72 
 
 81.81 
 
 23.07 
 
 85 
 
 86 
 
 83.07 
 
 22.26 
 
 82.97 
 
 22 . 62 
 
 82.87 
 
 22.98 
 
 82 . 77 
 
 23.34 
 
 86 
 
 87 
 
 84.04 
 
 22.52 
 
 83.94 
 
 22.88 
 
 83.84 
 
 23.25 
 
 83.73 
 
 23.62 
 
 87 
 
 88 
 
 85.00 
 
 22.78 
 
 84.90 
 
 23.15 
 
 84.80 
 
 23 . 52 
 
 84.70 
 
 23.89 
 
 88 
 
 89 
 
 85 . 97 
 
 23.03 
 
 85.87 
 
 23.41 
 
 85.76 
 
 23.78 
 
 85 . 66 
 
 24.16 
 
 89 
 
 90 
 
 86 . 93 
 
 23.29 
 
 86.83 
 
 23.67 
 
 86 . 73 
 
 24.05 
 
 86.62 
 
 24.43 
 
 90 
 
 91 
 
 87.90 
 
 23 . 55 
 
 87.80 
 
 23.94 
 
 87.69 
 
 24.32 
 
 87.58 
 
 24.70 
 
 91 
 
 92 
 
 88.87 
 
 23.81 
 
 88 . 76 
 
 24.20 
 
 88 . 65 
 
 24 . 59 
 
 88.55 
 
 24.97 
 
 92 
 
 93 
 
 89.83 
 
 24.07 
 
 89 . 73 
 
 24.46 
 
 89 . 62 
 
 24.85 
 
 89.51 
 
 25.24 
 
 93 
 
 94 
 
 90.80 
 
 24.33 
 
 90.69 
 
 24 . 72 
 
 90 . 58 
 
 25.12 
 
 90.47 
 
 25 . 52 
 
 94 
 
 95 
 
 91.76 
 
 24.59 
 
 91.65 
 
 24.99 
 
 91.54 
 
 25 . 39 
 
 91.43 
 
 25.79 
 
 95 
 
 96 
 
 92.73 
 
 24.85 
 
 92.62 
 
 25.25 
 
 92.51 
 
 25.65 
 
 92.40 
 
 26.06 
 
 96 
 
 97 
 
 93.69 
 
 25 . 1 1 
 
 93.58 
 
 25.51 
 
 93.47 
 
 25 . 92 
 
 93 . 36 
 
 26 . 33 
 
 97 
 
 98 
 
 94.66 
 
 25.36 
 
 94 . 55 
 
 25.78 
 
 94.44 
 
 26.19 
 
 94.32 
 
 26.60 
 
 98 
 
 99 
 
 95 . 63 
 
 25.62 95.51 
 
 26.04 
 
 95.40 
 
 26.46 
 
 95.28 
 
 26.87 
 
 99 
 
 100 
 
 96.59 
 
 25.88 
 
 96.48 
 
 26.30 
 
 96.36 
 
 26.72 
 
 96 . 25 
 
 27.14 
 
 100 
 
 o 
 
 c 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 to 
 
 o 
 fl 
 
 .9 
 
 fi 
 
 75 Deg. 
 
 - 74| Deg. 
 
 74i Deg. 
 
 74* Deg. 
 
 is 
 
 Q 
 
34 
 
 TRAVERSE TABLE. 
 
 o 
 1 
 
 16 Deg. 
 
 164 Deg. 
 
 161 Deg. 
 
 16| Deg. 
 
 g 
 
 1 
 
 
 
 
 
 
 
 1 
 
 
 
 
 
 
 
 CD 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 o 
 
 ~T |~0 796" 
 
 0.28 
 
 0.96 
 
 0.28 
 
 0.96 
 
 0.28 
 
 6.96 
 
 0.29 
 
 f 
 
 2 1 92 
 
 0.55 
 
 1.92 
 
 0.56 
 
 1.92 
 
 0.57 
 
 1.92 
 
 0.58 
 
 2 
 
 3 
 
 2.88 
 
 0.83 
 
 2.88 
 
 0.84 
 
 2.88 
 
 0.85 
 
 2.87 
 
 0.86 
 
 3 
 
 4 
 
 3.85 
 
 1.10 
 
 3.84 
 
 1.12 
 
 3.84 
 
 1.14 
 
 3.83 
 
 1.15 
 
 4 
 
 5 
 
 4.81 
 
 1.38 
 
 4.80 
 
 1.40 
 
 4.79 
 
 1.42 
 
 4.79 
 
 1.44 
 
 5 
 
 6 
 
 5.77 
 
 1.65 
 
 5.76 
 
 1.68 
 
 5.75 
 
 1.70 
 
 5.75 
 
 1.73 
 
 6 
 
 7 
 
 6.73 
 
 1.93 
 
 6.72 
 
 1.96 
 
 6.71 
 
 1.99 
 
 6.70 
 
 2.02 
 
 7 
 
 8 
 
 7.69 
 
 2.21 
 
 7.68 
 
 2.24 
 
 7.67 
 
 2.27 
 
 7.66 
 
 2.31 
 
 8 
 
 9 
 
 8.65 
 
 2.48 
 
 8.64 
 
 2.52 
 
 8.63 
 
 2.56 
 
 8.62 
 
 2.59 
 
 9 
 
 10 
 
 9.61 
 
 2.76 
 
 9.60 
 
 2.80 
 
 9.59 
 
 2.84 
 
 9.58 
 
 2.88 
 
 10 
 
 11 
 
 10.57 
 
 3.03 
 
 10.56 
 
 3.08 
 
 10.55 
 
 3.12 
 
 10.53 
 
 3.17 
 
 11 
 
 12 
 
 11.54 
 
 3.31 
 
 11.52 
 
 3.36 
 
 11.51 
 
 3.41 
 
 11.49 
 
 3.46 I 12 
 
 13 
 
 12.50 
 
 3.58 
 
 12.48 
 
 3.64 
 
 12.46 
 
 3.69 
 
 12.45 
 
 3.75 
 
 13 
 
 14 
 
 13.46 
 
 3.86 
 
 13.44 
 
 3.92 
 
 13.42 
 
 3.98 
 
 13.41 
 
 4.03 
 
 14 
 
 15 
 
 14.42 
 
 4.13 
 
 14.40 
 
 4.20 
 
 14.38 
 
 4.26 
 
 14.36 
 
 4.32 
 
 15 
 
 16 
 
 15.38 
 
 4.41 
 
 15.36 
 
 4.48 
 
 15.34 
 
 4.54 
 
 15.32 
 
 4.61 
 
 16 
 
 17 
 
 16.34 
 
 4.69 
 
 16.32 
 
 4.76 
 
 16.30 
 
 4.83 
 
 16.28 
 
 4.90 
 
 17 
 
 18 
 
 17.30 
 
 4.96 
 
 17.28 
 
 5.04 
 
 17.26 
 
 5.11 
 
 17.24 
 
 5.19 
 
 18 
 
 19 
 
 18.26 
 
 5.24 
 
 18.24 
 
 5.32 
 
 18.22 
 
 5.40 
 
 18.19 
 
 5.48 
 
 19 
 
 20 
 
 19.23 
 
 5.51 
 
 19.20 
 
 5.60 
 
 19.18 
 
 5.68 
 
 19.15 
 
 5.76 
 
 20 
 
 21 
 
 20.19 
 
 5.79 
 
 20.16 
 
 5.88 
 
 20.14 
 
 5.96 
 
 20.11 
 
 6.05 
 
 21 
 
 22 
 
 21.15 
 
 6.06 
 
 21.12 
 
 6.16 
 
 21.09 
 
 6.25 
 
 21.07 
 
 6.34 
 
 22 
 
 23 
 
 22 . 1 1 
 
 6.34 
 
 22.08 
 
 6.44 
 
 22.05 
 
 6.53 
 
 22.02 
 
 6.63 
 
 23 
 
 24 
 
 23 . 07 
 
 6.62 
 
 23.04 
 
 6.72 
 
 23.01 
 
 6.82 
 
 22 . 98 
 
 6.92 
 
 24 
 
 25 
 
 24.03 
 
 6.89 
 
 24.00 
 
 7.00 
 
 23 . 97 
 
 7.10 
 
 23.94 
 
 7.20 
 
 25 
 
 26 
 
 24.99 
 
 7.17 
 
 24.96 
 
 7.28 
 
 24.93 
 
 7.38 
 
 24.90 
 
 7.49 
 
 26 
 
 27 
 
 25.95 
 
 7.44 
 
 25.92 
 
 7.56 
 
 25.89 
 
 7.67 
 
 25.85 
 
 7.78 
 
 27 
 
 28 
 
 26 . 92 
 
 7.72 
 
 26.88 
 
 7.84 
 
 26.85 
 
 7.95 
 
 26.81 
 
 8.07 
 
 28 
 
 29 
 
 27.88 
 
 7.99 
 
 27.84 
 
 8.11 
 
 27.81 
 
 8.24 
 
 27.77 
 
 8.36 
 
 29 
 
 30 
 
 28 . 84 
 
 8.27 
 
 28.80 
 
 8.39 
 
 28.76 
 
 8.52 
 
 28.73 
 
 8.65 
 
 30 
 
 31 
 
 29.80 
 
 8.54 
 
 29 . 76 
 
 8.67 
 
 29.72 
 
 8.80 
 
 29.68 
 
 8.93 
 
 31 
 
 32 
 
 30 . 76 
 
 8.82 
 
 30.72 
 
 8.95 
 
 30.68 
 
 9.09 
 
 30.64 
 
 9.22 
 
 32 
 
 33 
 
 31.72 
 
 9.10 
 
 31.68 
 
 9.23 
 
 31.64 
 
 9.37 
 
 31.60 
 
 9.51 
 
 33 
 
 34 
 
 32 . 68 
 
 9.37 
 
 32 . 64 
 
 9.51 
 
 32.60 
 
 9.66 
 
 32.56 
 
 9.80 
 
 34 
 
 35 
 
 33 . 64 
 
 9.65 
 
 33.60 
 
 9.79 
 
 33 . 56 
 
 9.94 
 
 33.51 
 
 10.09 
 
 35 
 
 36 
 
 34.61 
 
 9.92 
 
 34.56 
 
 10.07 
 
 34.52 
 
 10.22 
 
 34.47 
 
 10.38 
 
 36 
 
 37 
 
 35.57 
 
 10.20 
 
 35 . 52 
 
 10.35 
 
 35.48 
 
 10.51 
 
 35.43 
 
 10.66 
 
 37 
 
 38 
 
 36 . 53 
 
 10.47 
 
 36.48 
 
 10.63 
 
 36.44 
 
 10.79 
 
 36.39 
 
 10.95 
 
 38 
 
 39 
 
 37.49 
 
 10.75 
 
 37.44 
 
 10.91 
 
 37.39 
 
 11.08 
 
 37.35 
 
 11.24 
 
 39 
 
 40 
 
 33.45 
 
 11.03 
 
 38.40 
 
 11.19 
 
 38 . 35 
 
 11.36 
 
 38.30 
 
 11.53 
 
 40 
 
 41 
 
 39.41 
 
 11.30 
 
 39.36 
 
 "11.47 
 
 39.31 
 
 11.61 
 
 39.26 
 
 11.82 
 
 41 
 
 42 
 
 40.37 
 
 11.58 
 
 40.32 
 
 1 1 . 75 
 
 40.27 
 
 11.93 
 
 40.22 
 
 12.10 
 
 42 
 
 43 
 
 41.33 
 
 11.85 
 
 41.28 
 
 12.03 
 
 41.23 
 
 12.21 
 
 41.18 
 
 12.39 
 
 43 
 
 44 
 
 42.30 
 
 12.13 
 
 42.24 
 
 12.31 
 
 42.19 
 
 12.50 
 
 42.13 
 
 12.68 
 
 44 
 
 45 
 
 43.26 
 
 12.40 
 
 43.20 
 
 12.59 
 
 43.15 
 
 12.78 
 
 43.09 
 
 12.97 
 
 45 
 
 46 
 
 41.22 
 
 12.68 
 
 44.16 
 
 12.87 
 
 44.11 
 
 13.06 
 
 44.05 
 
 13.26 
 
 46 
 
 47 
 
 45.18 
 
 12.95 
 
 45.12 
 
 13.15 
 
 45.06 
 
 13.35 
 
 45.01 
 
 13.55 
 
 47 
 
 48 
 
 46.14 
 
 13.23 
 
 46.08 
 
 13.43 
 
 46.02 
 
 13.63 
 
 45 . 96 
 
 13.83 
 
 48 
 
 49 
 
 47.10 
 
 13.51 
 
 47.04 
 
 13.71 
 
 46.98 
 
 13.92 
 
 46 . 92 
 
 14.12 
 
 49 
 
 50 
 
 48.08 
 
 13.78 
 
 48.00 
 
 13.99 
 
 47.94 
 
 14.20 
 
 47.88 
 
 14.41 
 
 50 
 
 | 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 03 
 O 
 
 c 
 
 
 
 74 Deg. 
 
 73| Deg. 
 
 73| Deg. 
 
 734 Deg. 
 
 I 
 
TRAVERSE TABLE 
 
 35 
 
 d 
 
 5s 
 
 16 Deg. 
 
 164 Deg, 
 
 16| Deg. 
 
 161 Deg. 
 
 O 
 
 3 
 O 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 51 
 
 49.02 
 
 14.06 
 
 48.96 
 
 14.27 
 
 48 . 90 
 
 14.48 
 
 48.84 
 
 14.70 
 
 51 
 
 52 
 
 49.99 
 
 14.33 
 
 49.92 
 
 14.55 
 
 49.86 
 
 14.77 
 
 49 . 79 
 
 14.99 
 
 52 
 
 53 
 
 50.95 
 
 14.61 
 
 50.88 
 
 14.83 
 
 50.82 
 
 15.05 
 
 50,75 
 
 15.27 
 
 53 
 
 54 
 
 51.91 
 
 14.88 
 
 51.84 
 
 15.11 
 
 51.78 
 
 15,34 
 
 51.71 
 
 15.56 
 
 54 
 
 55 
 
 52.87 
 
 15.16 
 
 52.80 
 
 15.39 
 
 52.74 
 
 15.62 
 
 52.67 
 
 15,85 
 
 55 
 
 56 
 
 53.83 
 
 15.44 
 
 53.76 
 
 15.67 
 
 53 . 69 
 
 15.90 
 
 53 . 62 
 
 16.14 
 
 56 
 
 57 
 
 54 . 79 
 
 15.71 
 
 54.72 
 
 1^5.95 
 
 54.65 
 
 16,19 
 
 54.58 
 
 16.43 
 
 57 
 
 58 
 
 55.75 
 
 15.99 
 
 55.68 
 
 16.23 
 
 55.61 
 
 16.47 
 
 55.54 
 
 16.72 
 
 58 
 
 59 
 
 56.71 
 
 16.26 
 
 56 . 64 
 
 16.51 
 
 56.57 
 
 16,76 
 
 56.50 
 
 17.00 
 
 59 
 
 60 
 
 57.68 
 
 16.54, 
 
 57.60 
 
 16.79 
 
 57.53 
 
 17.04 J57,45 
 
 17.29 
 
 60 
 
 61 
 
 58 . 64 
 
 16.81 
 
 58.56 
 
 17.07 
 
 58.49 17.32 ! 58.41 
 
 17.58 
 
 61 
 
 62 
 
 59.60 
 
 17.09 
 
 59 . 52 
 
 17.35 
 
 59.45 17,61 
 
 59.37 
 
 17.87 
 
 62 
 
 63 
 
 60 . 56 
 
 17.37 
 
 60.48 
 
 17.63 
 
 60.41 
 
 17.89 
 
 60.33 
 
 18.16 
 
 63 
 
 64 
 
 6 1 . 52 
 
 17.64 
 
 61.44 
 
 17.91. 
 
 61.36 
 
 18.18 
 
 61.28 
 
 18.44 
 
 64 
 
 65 
 
 62.48 
 
 17.92 
 
 62.40 
 
 18.19 
 
 62.32 
 
 18.46 
 
 62.24 
 
 18.73 
 
 65 
 
 66 
 
 63.44 
 
 18.19 
 
 63.36 
 
 18.47 
 
 63.28 
 
 18,74 
 
 63.20 
 
 19.02 
 
 66 
 
 67 
 
 64.40 
 
 18.47 
 
 64.32 
 
 18.75 
 
 64.24 
 
 19.03 
 
 64.16 
 
 19.31 
 
 67 
 
 68 
 
 65.37 
 
 18.74 
 
 65.28 
 
 19.03 
 
 65.20 
 
 19.31 
 
 65 . 1 1 
 
 19.60 
 
 68 
 
 69 
 
 66.33 
 
 19.02 
 
 66.24 
 
 19.31 
 
 66.16 
 
 19.60 
 
 66.07 
 
 19.89 
 
 69 
 
 70 
 
 67.29 
 
 19.29 
 
 67.20 
 
 19.59 
 
 67.12 
 
 19.88 
 
 67.03 
 
 20.17 
 
 70 
 
 ~7l 
 
 68.25 
 
 19.57 
 
 68. 16 
 
 19.87 
 
 68.08 
 
 20 . 1 7 
 
 67.99 
 
 20.46 
 
 71 
 
 72 
 
 69.21 
 
 19.85 
 
 69.12 
 
 20.15 
 
 69.03 
 
 20.45 
 
 68 . 95 
 
 20.75 
 
 72 
 
 73 
 
 70.17 
 
 20.12 
 
 70.08 
 
 20.43 
 
 69 . 99 
 
 20.73 
 
 69 . 90 
 
 21.04 
 
 73 
 
 74 
 
 71.13 
 
 20.40 
 
 71.04 
 
 20.71 
 
 70 . 95 
 
 21.02 
 
 70.86 
 
 21.33 
 
 74 
 
 75 
 
 72.09 
 
 20.67 
 
 72.00 
 
 20.99 
 
 71.91 
 
 21.30 
 
 71.82 
 
 21.61 
 
 75 
 
 76 
 
 73.06 
 
 20.1/5 
 
 72.96 
 
 21.27 
 
 72.87 
 
 21.59 
 
 72.78 
 
 21.90 
 
 76 
 
 77 
 
 74.02 
 
 21.22 
 
 73.92 
 
 21.55 
 
 73.83 
 
 21.87 ' 73.73 
 
 22.19 
 
 77 
 
 78 
 
 74.98 
 
 21.50 
 
 74.88 
 
 21.83 
 
 74 . 79 
 
 22.15 174.69 
 
 22.48 
 
 78 
 
 79 
 
 75 . 94 
 
 2 1 . 78 
 
 75.84 
 
 22.11 
 
 75 . 75 
 
 22. 44 fl 75. 65 
 
 22.77 
 
 79 
 
 80 
 
 76 . 90 
 
 22.05 
 
 76.80 
 
 22.39 
 
 76.71 
 
 22.72 j 76.61 
 
 23.06 
 
 80 
 
 81 
 
 77.86 
 
 22 . 33 
 
 77.76 
 
 22.67 
 
 77.66 
 
 23.01 
 
 ' 77 . 56 
 
 23.34 
 
 81 
 
 82 
 
 78.82 
 
 22 . 60 
 
 78.72 
 
 22.95 
 
 78.62 
 
 23.29 
 
 I 78.52 
 
 23.63 
 
 82 
 
 83 
 
 79 . 78 
 
 22.88 
 
 79 . 68 
 
 23.23 
 
 79 . 58 
 
 23.57 
 
 I 79.4-8 
 
 23.92 
 
 83 
 
 84 
 
 80 . 75 
 
 23.15 
 
 80.64 
 
 23.51 
 
 80 . 54 
 
 23.86 
 
 80.44 
 
 24.21 
 
 84 
 
 85 
 
 81.71 
 
 23.43 
 
 81.60 
 
 23.79 
 
 81.50 
 
 24.14 
 
 81.39 
 
 24.53 
 
 85 
 
 86 
 
 82.67 
 
 23.70 
 
 82.56 
 
 24.07 
 
 82.46 
 
 24.43 
 
 '82.35 
 
 24.78 
 
 86 
 
 87 
 
 83.63 
 
 23.98 
 
 83.52 
 
 24.35 
 
 83.42 
 
 24.71 
 
 183.31 
 
 25.07 
 
 87 
 
 88 
 
 84.59 
 
 24.26 
 
 84.48 
 
 24.62 
 
 84.38 
 
 24.99 
 
 184.27 
 
 25,36 
 
 88 
 
 89 
 
 85.55 
 
 24.53 
 
 85.44 
 
 24.90 
 
 85.33 
 
 25 . 28 
 
 185.22 
 
 25.65 
 
 89 
 
 90 
 
 80.51 24.81 
 
 86.40 
 
 25.18 
 
 86.29 
 
 25.56 j 86. 18 
 
 25.94 
 
 90 
 
 91 
 
 87.47 
 
 25.08 
 
 87.36 
 
 25.46 
 
 87.25 
 
 25.85 T87.14 
 
 26.23 
 
 91 
 
 92 
 
 88.44 
 
 25 . 36 
 
 88.32 
 
 25.74 
 
 88.21 
 
 26.13 J88.10 
 
 26.51 
 
 92 
 
 93 
 
 89.40 
 
 25 . 63 
 
 89.28 
 
 26.02 
 
 89.17 
 
 26.41 89.05 
 
 26.80 
 
 93 
 
 94 
 
 90.36 
 
 25.91 
 
 90.24 
 
 26.30 
 
 90.13 
 
 26.70 90.01 
 
 27.09 
 
 94 
 
 95 
 
 91.32 
 
 26.19 
 
 91.20 
 
 26.58 
 
 91.09 
 
 26.98 90.97 
 
 27 . 38 
 
 95 
 
 96 
 
 92.28 
 
 26.46 
 
 92.16 
 
 26.86 
 
 92.05 
 
 27.27 91.93 
 
 27.67 
 
 96 
 
 97 
 
 93.24 
 
 26.74 
 
 93.12 
 
 27.14 
 
 93.01 
 
 27.55 92.88 
 
 27.95 
 
 97 
 
 98 
 
 94.20 
 
 27.01 
 
 94.08 
 
 27.42 
 
 93.96 
 
 27.83 93.84 
 
 28.24 
 
 98 
 
 99 
 
 95.16 
 
 27.29 
 
 95.04 
 
 27.70 
 
 94.92 
 
 28.12 94.80 
 
 28.53 
 
 99 
 
 100 
 
 96.13 
 
 27.56 
 
 96.00 
 
 27.98 
 
 95.88 
 
 28.40 95.76 
 
 28.82 
 
 100 
 
 o 
 
 o 
 C 
 
 Dep. 
 
 Lat. 
 
 Dep. 1 Lat. 
 
 Dep. 
 
 Lat. 1 Dep. 
 
 Lat. 
 
 i 
 
 "w 
 
 
 
 II 
 
 ed 
 tc 
 
 3 
 
 74 Deg. 
 
 73| Deg. 
 
 73| Deg. 73i Deg. 
 
 3 
 
36 
 
 TBAVERSE TABLE. 
 
 1 
 
 17 Deg. 
 
 17* Deg. 
 
 17 Deg. 
 
 17| Deg. 
 
 O 
 53' 
 
 p 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 a 
 o 
 
 1 
 
 0.96 
 
 0.29 
 
 0.95 
 
 0.30 
 
 0.95 
 
 0.30 
 
 0.95 
 
 0.30 
 
 I 
 
 2 
 
 1.91 
 
 0.58 
 
 1.91 
 
 0.59 
 
 1.91 
 
 0.60 
 
 1.90 
 
 0.61 
 
 o 
 
 3 
 
 2.87 
 
 0.88 
 
 2.87 
 
 0.89 
 
 2.86 
 
 0.90 
 
 2.86 
 
 0.91 
 
 3 
 
 4 
 
 3.83 
 
 1.17 
 
 3.82 
 
 1.19 
 
 3.81 
 
 1.20 
 
 3.81 
 
 1.22 
 
 4 
 
 5 
 
 4.78 
 
 1.46 
 
 4.78 
 
 1.48 
 
 4.77 
 
 1.50 
 
 4.76 
 
 1.52 
 
 5 
 
 6 
 
 5.74 
 
 1.75 
 
 5.73 
 
 1.78 
 
 5.72 
 
 1.80 
 
 5.71 
 
 1.83 
 
 6 
 
 7 
 
 6.69 
 
 2.05 
 
 6.69 
 
 2.08 
 
 6.68 
 
 2.10 
 
 6.67 
 
 2 13 
 
 7 
 
 8 
 
 7.65 
 
 2.34 
 
 7.64 
 
 2.37 
 
 7.63 
 
 2.41 
 
 7.62 
 
 2.44 
 
 8 
 
 9 
 
 8.61 
 
 2.63 
 
 8.60 
 
 2.67 
 
 8.58 
 
 2.71 
 
 8.57 
 
 2.74 
 
 9 
 
 10 
 
 9.56 
 
 2.92 
 
 9.55 
 
 2.97 
 
 9.54 
 
 3.01 
 
 9.52 
 
 3.05 
 
 10 
 
 11 
 
 10.52 
 
 3.22 
 
 10.51 
 
 3.26 
 
 10.49 
 
 3.31 
 
 10.48 
 
 3.35 
 
 11 
 
 12 
 
 11.48 
 
 3.51 
 
 11.46 
 
 3.56 
 
 11.44 
 
 3.61 
 
 11.43 
 
 3.66 
 
 12 
 
 13 
 
 12.43 
 
 3.80 
 
 12.42 
 
 3.85 
 
 12.40 
 
 3.91 
 
 12.38 
 
 3.96 
 
 13 
 
 14 
 
 13.39 
 
 4.09 
 
 13.37 
 
 4.15 
 
 13.35 
 
 4.21 
 
 13.33 
 
 4.27 
 
 14 
 
 15 
 
 14.34 
 
 4.39 
 
 14.33 
 
 4.45 
 
 14.31 
 
 4.51 
 
 14.29 
 
 4.57 
 
 15 
 
 16 
 
 15.30 
 
 4.68 
 
 15.28 
 
 4.74 
 
 15.26 
 
 4.81 
 
 15.24 
 
 4.88 
 
 16 
 
 17 
 
 16.26 
 
 4.97 
 
 16.24 
 
 5.04 
 
 16.21 
 
 5.11 
 
 16.19 
 
 5.18 
 
 17 
 
 18 
 
 17.21 
 
 5.26 
 
 17.19 
 
 5.34 
 
 17.17 
 
 5.41 
 
 17.14 
 
 5.49 
 
 18 
 
 19 
 
 18.17 
 
 5.56 
 
 18.15 
 
 5.63 
 
 18.12 
 
 5.71 
 
 18.10 
 
 5.79 
 
 19 
 
 20 
 
 19.13 
 
 5.85 
 
 19.10 
 
 5.93 
 
 19.07 
 
 6.01 
 
 19.05 
 
 6.10 
 
 20 
 
 21 
 
 20.08 
 
 6.14 
 
 20.06 
 
 6.23 
 
 20.03 
 
 6.31 
 
 20.00 
 
 6.40 
 
 2f 
 
 22 
 
 21.04 
 
 6.43 
 
 21.01 
 
 6.52 
 
 20.98 
 
 6.62 
 
 20.95 
 
 6.71 
 
 22 
 
 23 
 
 21.99 
 
 6.72 
 
 21.97 
 
 6.82 
 
 21.94 
 
 6.92 
 
 21.91 
 
 7.01 
 
 23 
 
 24 
 
 22.95 
 
 7.02 
 
 22.92 
 
 7.12 
 
 22.89 
 
 7.22 
 
 22.86 
 
 7.32 
 
 24 
 
 25 
 
 23.91 
 
 7.31 
 
 23.88 
 
 7.41 
 
 23.84 
 
 7.52 
 
 23.81 
 
 7.62 
 
 25 
 
 26 
 
 24.86 
 
 7.60 
 
 24.83 
 
 7.71 
 
 24.80 
 
 7.82 
 
 24.76 
 
 7.93 
 
 26 
 
 27 
 
 25.82 
 
 7.89 
 
 25.79 
 
 8.01 
 
 25.75 
 
 8.12 
 
 25.71 
 
 8.23 
 
 27 
 
 28 
 
 26.78 
 
 8.19 
 
 26.74 
 
 8.30 
 
 26.70 
 
 8.42 
 
 26.67 
 
 8.54 
 
 28 
 
 29 
 
 27.73 
 
 8.48 
 
 27.70 
 
 8.60 
 
 27.66 
 
 8.72 
 
 27.62 
 
 8.84 
 
 29 
 
 30 
 
 28 . 69 
 
 8.77 
 
 28.65 
 
 8.90 
 
 28.61 
 
 9.02 
 
 28.57 
 
 9.15 
 
 30 
 
 31 
 
 29.65 
 
 9.06 
 
 29.61 
 
 9.19 
 
 29 . 57 
 
 9.32 
 
 29.52 
 
 9.45 
 
 31 
 
 32 
 
 30.60 
 
 9.36 
 
 30.56 
 
 9.49 
 
 30.52 
 
 9.62 
 
 30.48 
 
 9.76 
 
 32 
 
 33 
 
 31.56 
 
 9.65 
 
 31.52 
 
 9.79 
 
 31.4.7 
 
 9.92 
 
 31.43 
 
 10.06 
 
 33 
 
 34 
 
 32.51 
 
 9.94 
 
 32.47 
 
 10.08 
 
 32.43 
 
 10.22 
 
 32.38 
 
 10.37 
 
 34 
 
 35 
 
 33.47 
 
 10.23 
 
 33.43 
 
 10.38 
 
 33.38 
 
 10.52 
 
 33.33 
 
 10.67 
 
 35 
 
 36 
 
 34.43 
 
 10.53 
 
 34.38 
 
 10.68 
 
 34.33 
 
 10.83 
 
 34.29 
 
 10.98 
 
 36 
 
 37 
 
 35.38 
 
 10.82 
 
 35.34 
 
 10.97 
 
 35.29 
 
 11.13 
 
 35 24 
 
 11.28 
 
 37 
 
 38 
 
 36.34 
 
 11.11 
 
 36.29 
 
 11.27 
 
 36.24 
 
 11.43 
 
 36.19 I 11.58 
 
 38 
 
 39 
 
 37.30 
 
 11.40 
 
 37.25 
 
 1 1 . 57 
 
 37.19 
 
 11.73 
 
 37.14 
 
 11.89 
 
 39 
 
 40 
 
 38.25 11.69 
 
 38.20 
 
 11.86 
 
 38.15 
 
 12.03 
 
 38.10 
 
 12.19 
 
 40 
 
 41 
 
 39.21 
 
 11.99 
 
 39.16 
 
 12.16 
 
 39.10 
 
 12.33 
 
 39.05 
 
 12.50 
 
 41 
 
 42 
 
 40.16 
 
 12.28 
 
 40.11 
 
 12.45 
 
 40.06 
 
 12.63 
 
 40.00 
 
 12.80 
 
 42 
 
 43 
 
 41.12 
 
 12.57 
 
 41.07 
 
 12.75 
 
 41.01 
 
 12.93 
 
 40.95 
 
 13.11 
 
 43 
 
 44 
 
 42.08 
 
 12.86 
 
 42.02 
 
 13.05 
 
 41.96 
 
 13.23 
 
 41.91 
 
 13.41 
 
 44 
 
 45 
 
 43.03 
 
 13.16 
 
 42.98 
 
 13.34 
 
 42.92 
 
 13.53 
 
 42.86 
 
 13.72 
 
 45 
 
 46 
 
 43.99 
 
 13.45 
 
 43.93 
 
 13.64 
 
 43.87 
 
 13.83 
 
 43.81 
 
 14.02 
 
 46 
 
 47 
 
 44.951 13.74 
 
 44.89 
 
 13.94 
 
 44.82 
 
 14.13 
 
 44.76 
 
 14.33 
 
 47 
 
 48 
 
 45.90 
 
 14.03 
 
 45.84 
 
 14.23 
 
 45.78 
 
 14.43 
 
 45.71 
 
 14.63 
 
 48 
 
 49 
 
 46.86 
 
 14.33 
 
 46.80 
 
 14.53 
 
 46.73 
 
 14.73 
 
 46.67 
 
 14.94 
 
 49 
 
 50 
 
 47.82 
 
 14.62 
 
 47.75 
 
 14.83 
 
 47.69 
 
 15.04 
 
 47.62 
 
 15.24 
 
 50 
 
 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 oJ 
 o 
 
 B 
 
 
 
 
 
 
 
 a 
 
 3 
 
 
 
 
 
 rf 
 
 09 
 
 
 
 
 
 
 c 
 
 73 Deg. 
 
 72| Deg. 
 
 72 Deg. 
 
 72i Dag. 
 
 Q 
 
TKAVERSE TABLE, 
 
 37 
 
 o 
 
 17 Deg. 
 
 17} Deg. 
 
 17 Deg. 
 
 17| Deg. 
 
 O 
 
 p 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 i 
 
 51 
 
 48.77 
 
 14.91 
 
 48.71 
 
 15.12 
 
 48.64 
 
 15.34 
 
 48.57 
 
 15.55 
 
 51 
 
 52 
 
 49.73 
 
 15.20 
 
 49.66 
 
 15.42 
 
 49.59 
 
 15.64 
 
 49.52 
 
 15.85 
 
 52 
 
 53 
 
 50.68 
 
 15.50 
 
 50.62 
 
 15.72 
 
 50.55 
 
 15.94 
 
 50.48 
 
 16.16 
 
 53 
 
 54 
 
 51.64 
 
 15.79 
 
 51.57 
 
 16.01 
 
 51.50 
 
 16.24 
 
 51.43 
 
 16.46 
 
 54 
 
 55 
 
 52.60 
 
 16.08 
 
 52.53 
 
 16.31 
 
 52.45 
 
 16.54 
 
 52.38 
 
 16.77 
 
 55 
 
 56 
 
 53.55 
 
 16.37 
 
 53.48 
 
 16.61 
 
 53.41 
 
 16.84 
 
 53.33 
 
 17.07 
 
 56 
 
 57 
 
 54.51 
 
 16.67 
 
 54.44 
 
 1'6.90 
 
 54.36 
 
 17.14 
 
 54.29 
 
 17.38 
 
 57 
 
 58, 
 
 55.47 
 
 16.96 
 
 55.39 
 
 17.20 
 
 55.32 
 
 17.44 
 
 55.24 
 
 17.68 
 
 58 
 
 59 
 
 56.42 
 
 17.25 
 
 56.35 
 
 17.50 
 
 56.27 
 
 17.74 
 
 56.10 
 
 17.99 
 
 59 
 
 60 
 
 57.38 
 
 17.54 
 
 57.30 
 
 17.79 
 
 57.22 
 
 18.04 
 
 57.14 
 
 18.29 
 
 60 
 
 61 
 
 58733 
 
 17.83 
 
 58.26 
 
 18.09 
 
 58.18 
 
 18.34 
 
 58.10 
 
 18.60 
 
 61 
 
 62 
 
 59.29 
 
 18.13 
 
 59.21 
 
 18.39 
 
 59.13 
 
 18.64 
 
 59.05 
 
 18.90 
 
 62 
 
 63 
 
 60.25 
 
 18.42 
 
 60.17 
 
 18.68 
 
 60.08 
 
 18.94 
 
 60.00 
 
 19.21 
 
 63 
 
 64 
 
 61.20 
 
 18.71 
 
 61.12 
 
 18.98 
 
 61,04 
 
 19.25 
 
 60.95 
 
 19.51 
 
 64 
 
 65 
 
 62.16 
 
 19.00 
 
 62.08 
 
 19.28 
 
 61.99 
 
 19.55 
 
 61.91 
 
 19.82 
 
 65 
 
 66 
 
 63.12 
 
 19.30 
 
 63.03 
 
 19.57 
 
 62.95 
 
 19.85 
 
 62.86 
 
 20.12 
 
 66 
 
 67 
 
 64.07 
 
 19.59 
 
 63.99 
 
 19.87 
 
 63.90 
 
 20.15 
 
 63.81 
 
 20.43 
 
 67 
 
 68 
 
 65.03 
 
 19.88 
 
 64.94 
 
 20.16 
 
 64.85 
 
 20.45 
 
 64.76 
 
 20.73 
 
 68 
 
 69 
 
 65.99 
 
 20.17 
 
 65.90 
 
 20.46 
 
 65.81 
 
 20.75 
 
 65.72 
 
 21.04 
 
 69 
 
 70 
 
 66.94 
 
 20.47 
 
 66.85 
 
 20.76 
 
 66.76 
 
 21.05 
 
 66.67 
 
 21.34 
 
 70 
 
 71 
 
 67,90 
 
 20 . 76 
 
 67.81 
 
 21.05 
 
 67.71 
 
 21.35 
 
 67.62 
 
 21.65 
 
 71 
 
 72 
 
 68.85 
 
 21.05 
 
 68.76 
 
 21.35 
 
 68.67 
 
 21.65 
 
 68.57 
 
 21.95 
 
 72 
 
 73 
 
 69.81 
 
 21.34 
 
 69.72 
 
 21.65 
 
 69.62 
 
 21.95 
 
 69.52 
 
 22.26 
 
 73 
 
 74 
 
 70.77 
 
 21.64 
 
 70.67 
 
 21.94 
 
 70.58 
 
 22.25 
 
 70.48 
 
 22.56 
 
 74 
 
 75 
 
 71.72 
 
 21.93 
 
 71.63 
 
 22,24 
 
 71.53 
 
 22.55 
 
 71.43 
 
 22.86 
 
 75 
 
 76 
 
 72.68 
 
 22.22 
 
 72.58 
 
 22.54 
 
 72.48 
 
 22.85 
 
 72.38 
 
 23.17 
 
 76 
 
 77 
 
 73.64 
 
 22.51 
 
 73.54 
 
 22.83 
 
 73.44 
 
 23.15 
 
 73.33 
 
 23.47 
 
 77 
 
 78 
 
 74.59 
 
 22.80 
 
 74.49 
 
 23.13 
 
 74.39 
 
 23.46 
 
 74.29 
 
 23.78 
 
 78 
 
 79 
 
 75.55 
 
 23.10 
 
 75.45 
 
 23.43 
 
 75.34 
 
 23.76 
 
 75.24 
 
 24.08 
 
 79 
 
 80 
 
 76.50 
 
 23.39 
 
 76.40 
 
 23.72 
 
 76.30 
 
 24.06 
 
 76.19 
 
 24.39 
 
 80 
 
 81 
 
 77.46 
 
 23.68 
 
 77.36 
 
 24.02 
 
 77.25 
 
 24.36 
 
 77.14 
 
 24.69 
 
 81 
 
 82 
 
 78.42 
 
 23.97 
 
 78.31 
 
 24.32 
 
 78.20 
 
 24.66 
 
 78.10 
 
 25.00 
 
 82 
 
 83 
 
 79.37 
 
 24.27 
 
 79.27 
 
 24.61 
 
 79.16 
 
 25.96 
 
 79.05 
 
 25.30 
 
 83 
 
 84 
 
 80.33 
 
 24.56 
 
 80'. 22 
 
 24.91 
 
 80.11 
 
 25.26 
 
 80.00 
 
 25.61 
 
 84 
 
 85 
 
 81.29 
 
 24.85 
 
 81.18 
 
 25.21 181.07 
 
 25.56 
 
 80.95 
 
 25.91 
 
 85 
 
 86 
 
 82.24 
 
 25.14 
 
 82.13 
 
 25.50 82.02 
 
 25.86 
 
 81.91 
 
 26.22 
 
 86 
 
 87 
 
 83.20 
 
 25.44 
 
 83.09 
 
 25.80 82.97 
 
 26.16 
 
 82.86 
 
 26.52 
 
 87 
 
 88 
 
 84.15 
 
 25.73 
 
 84.04 
 
 26.10 83.93 
 
 26.46 
 
 83.81 
 
 26.83 
 
 88 
 
 89 
 
 85.11 
 
 26.02 
 
 85.00 
 
 26.39! 84.88 
 
 26.76 
 
 84.76 
 
 27.13 
 
 89 
 
 90 
 
 86.07 
 
 26.31 
 
 85.95 
 
 26.69 ! 85.83 
 
 27.06 
 
 85.72 
 
 27.44 
 
 90 
 
 91 
 
 87.02 
 
 26.61 
 
 86.91 
 
 26.99 i 86.79 
 
 27.36 
 
 86.67 
 
 27.74 
 
 91 
 
 92 
 
 87.98 
 
 26.90 
 
 87.86 
 
 27.28 , 87.74 
 
 27.66 
 
 87.62 
 
 28.05 
 
 92 
 
 93 
 
 88.94 
 
 27.19 
 
 88.82 
 
 27.58 88.70 
 
 27.97 
 
 88.57 
 
 28.35 
 
 93 
 
 94 
 
 89.89 
 
 27.48 
 
 89.77 
 
 27.87 i 89.65 
 
 28.27 
 
 89.53 
 
 28.66 
 
 94 
 
 95 
 
 90.85 
 
 27.78 
 
 90,73 
 
 28.17 j 90. 60 
 
 28,57 
 
 90.48 
 
 28.96 
 
 95 
 
 96 
 
 91.81 
 
 28.07 
 
 91.68 
 
 28.47 I 91.56 
 
 28.87 
 
 91.43 
 
 29.27 
 
 96 
 
 97 
 
 92.76 
 
 28.36 
 
 92.64 
 
 28.76 
 
 92.51 
 
 29.17 
 
 92.38 
 
 29.57 
 
 97 
 
 98 
 
 93.72 
 
 28.65 
 
 93.59 
 
 29.06 
 
 93.46 
 
 29.47 
 
 93.33 
 
 29.88 
 
 98 
 
 99 
 
 94.67 
 
 28.94 
 
 94.55 
 
 29.39 
 
 94.42 
 
 29.77 
 
 94.29 
 
 30.18 
 
 99 
 
 100 
 
 95.63 
 
 29.24 
 
 35.50 
 
 29.65 
 
 95.37 
 
 30.07 
 
 95.24 
 
 30.49 
 
 100 
 
 I 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 o 
 
 o 
 
 c 
 
 I 
 
 
 
 
 
 *s 
 
 Q 
 
 73 Deg. 
 
 72J Deg. 
 
 72 Deg. 
 
 72i Deg. 
 
 S 
 
TRAVERSE TABLE, 
 
 
 
 
 
 
 
 g 
 
 18 Deg. 
 
 18* Deg. 
 
 18| Deg. 
 
 181 Deg. 
 
 g 
 
 p 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 
 
 1 
 
 0.95 
 
 0.31 
 
 0.95 
 
 0.31 
 
 0.95 
 
 0.32 
 
 0.95 
 
 0.32 
 
 1 
 
 2 
 
 1.90 
 
 0.62 
 
 1.90 
 
 0.63 
 
 1.90 
 
 0.63 
 
 1.8ft 
 
 0.64 
 
 2 
 
 3 
 
 2.85 
 
 0.93 
 
 2.85 
 
 0.94 
 
 2.84 
 
 0.95 
 
 2.84 
 
 0.96 
 
 3 
 
 4 
 
 3.80 
 
 1.24 
 
 3.80 
 
 1.25 
 
 3.79 
 
 1.27 
 
 3.79 
 
 1.29 
 
 4 
 
 5 
 
 4.76 
 
 1.55 
 
 4.75 
 
 1.57 
 
 4.74 
 
 1.59 
 
 4.73 
 
 1.61 
 
 5 
 
 6 
 
 5.71 
 
 1.85 
 
 5.70 
 
 1.88 
 
 5.69 
 
 1.90 
 
 5.68 
 
 1.93 
 
 6 
 
 7 
 
 6.66 
 
 2.16 
 
 6 . 65 
 
 2.19 
 
 6.64 
 
 2.22 
 
 6.63 
 
 2.25 
 
 7 
 
 8 
 
 7.61 
 
 2.47 
 
 7.60 
 
 2.51 
 
 7.59 
 
 2.54 
 
 7.58 
 
 2.5? 
 
 8 
 
 9 
 
 8.56 
 
 2.78 
 
 8.55 
 
 2.82 
 
 8.53 
 
 2.86 
 
 8.52 
 
 2.89 
 
 9 
 
 10 
 
 9.51 
 
 3.09 
 
 9.50 
 
 3.13 
 
 9.48 
 
 3.17 
 
 9.47 
 
 3.21 
 
 10 
 
 11 
 
 10.46 
 
 3.40 
 
 10.45 
 
 3.44 
 
 10.43 
 
 3.49 
 
 10.42 
 
 3.54 
 
 11 
 
 12 
 
 11.41 
 
 3.71 
 
 11.40 
 
 3.76 
 
 11.38 
 
 3.81 
 
 11.36 
 
 ;3.86 
 
 12 
 
 13 
 
 12.36 
 
 4.02 
 
 12.35 
 
 4.07 
 
 12.33 
 
 4.12 
 
 12.31 
 
 4.18 
 
 13 
 
 14 
 
 13.31 
 
 4.33 
 
 13.30 
 
 4.38 
 
 13.28 
 
 4.44 
 
 13.2-6 
 
 4.50 
 
 14 
 
 15 
 
 14.27 
 
 4.64 
 
 14.25 
 
 4.70 
 
 14.22 
 
 4.76 
 
 14.20 
 
 4.82 
 
 15 
 
 16 
 
 15.2? 
 
 4.94 
 
 15.20 
 
 5.01 
 
 15.17 
 
 5.03 
 
 15.15 
 
 5.14 
 
 16 
 
 17 
 
 16.17 
 
 5.25 
 
 16.14 
 
 5.32 
 
 16.12 
 
 5.39 
 
 16.10 
 
 5.46 
 
 17 
 
 18 
 
 17.12 
 
 5.56 
 
 17.09 
 
 5.64 
 
 17.07 
 
 5.71 
 
 17.04 
 
 5.79 
 
 18 
 
 19 
 
 18.07 
 
 5.87 
 
 18.04 
 
 5.95 
 
 18.02 
 
 6.03 
 
 17.99 
 
 6.11 
 
 19 
 
 20 
 
 19.02 
 
 6.18 
 
 18.99 
 
 6.26 
 
 18.97 
 
 6.35 
 
 18.94 
 
 6.43 
 
 20 
 
 21 
 
 19.97 
 
 6.49 
 
 19.94 
 
 6.58 
 
 19.91 
 
 6.66 
 
 19.89 
 
 6.75 
 
 21 
 
 22 
 
 20.92 
 
 6.80 
 
 20.89 
 
 6.89 
 
 20.86 
 
 6.98 
 
 243.83 
 
 7.07 
 
 22 
 
 23 
 
 21.87 
 
 7.11 
 
 21.84 
 
 7.20 
 
 21.81 
 
 7.30 
 
 21.78 
 
 7.39 
 
 23 
 
 24 
 
 22.83 
 
 7.42 
 
 22.79 
 
 7.52 
 
 22 . 76 
 
 7.62 
 
 22.73 
 
 7.71 
 
 24 
 
 25 
 
 23.78 
 
 7.73 
 
 23.74 
 
 7.83 
 
 23.71 
 
 7.93 
 
 23.67 
 
 8.04 
 
 25 
 
 26 
 
 24.73 
 
 8.03 
 
 24.69 
 
 8.14 
 
 24.66 
 
 8.25 
 
 24.62 
 
 8.36 
 
 26 
 
 27 
 
 25.68 
 
 8.34 
 
 25.64 
 
 8.46 
 
 25.60 
 
 8.57 
 
 25.57 
 
 8.68 
 
 27 
 
 28 
 
 26.63 
 
 8.65 
 
 26.59 
 
 8.77 
 
 26.55 
 
 8.88 
 
 26.51 
 
 .op 
 
 28 
 
 29 
 
 27.58 
 
 8.96 
 
 27.54 
 
 9.08 
 
 27.50 
 
 9.20 
 
 27. 4S 
 
 9.32 29 
 
 30 
 
 28.53 
 
 9.27 
 
 28.49 
 
 9.39 
 
 28.45 
 
 9.52 
 
 28.41 
 
 9.64 
 
 30 
 
 ~3T 
 
 29.48 
 
 9.58 
 
 29.44 
 
 9.71 '. 
 
 29.40 
 
 9.84 
 
 29.35 
 
 9.96 
 
 31 
 
 32 
 
 30.43 
 
 9.89 
 
 30.39 
 
 10.02 
 
 30.35 
 
 10.15 
 
 30.30 
 
 10.29 
 
 32 
 
 33 
 
 31.38 
 
 10.20 
 
 31.34 
 
 10.33 ( 
 
 31.29 
 
 10.47 
 
 31.25 
 
 10.61 
 
 33 
 
 34 
 
 32.34 
 
 JO. 51 
 
 32.29 
 
 10.65 t 
 
 32 . 24 
 
 10.79 
 
 32 . 20 
 
 10.93 
 
 34 
 
 35 
 
 33.29 
 
 10.82 
 
 33.24 
 
 10.96 
 
 33.19 
 
 11.11 
 
 33.14 
 
 11.25 
 
 35 
 
 36 
 
 34.24 
 
 11.12 
 
 34.19 
 
 11.27 
 
 34.14 
 
 11.42 
 
 34.09 
 
 1 1 . 57 
 
 36 
 
 37 
 
 35.19 
 
 11.43 
 
 35.14 
 
 11.59 
 
 35.09 
 
 1 1 . 74 
 
 35.04 
 
 11.89 
 
 37 
 
 38 
 
 36.14 
 
 1 1 . 74 
 
 36.09 
 
 11.90 
 
 36.04 
 
 12.00 
 
 35.98 
 
 12.21 
 
 38 
 
 39, 
 
 37.09 
 
 12.05 
 
 37.04 
 
 12.21 ', 
 
 36.98 
 
 12.37 
 
 36 . 93 
 
 12.54 
 
 39 
 
 40 
 
 38.04 
 
 1 2 . 36 
 
 37.99 
 
 12.53 
 
 37.93 
 
 12.69 
 
 37.88 
 
 12.86 
 
 40 
 
 41 
 
 38.99 
 
 12.67 
 
 38.94 
 
 12.84 
 
 38.88 
 
 13.01 
 
 38.82 
 
 13.18 
 
 41 
 
 42 
 
 39.94 
 
 12.98 
 
 39.89 
 
 13.15 
 
 39.83 
 
 13.33 
 
 39.77 
 
 13.50 
 
 42 
 
 43 
 
 40.90 
 
 13.29 
 
 40.84 
 
 13.47 
 
 40.78 13.64 
 
 40.72 
 
 13.82 
 
 43 
 
 44 
 
 41.85 
 
 13.60 
 
 41.79 
 
 13.78 
 
 41.73 
 
 13.96 
 
 41.66 
 
 14.14 
 
 44 
 
 45 
 
 42.80 
 
 13.91 
 
 42.74 
 
 14.09 
 
 42.67 
 
 14.28 
 
 42 . 6 1 
 
 14.46 
 
 45 
 
 46 
 
 43.75 
 
 14.21 
 
 43.69 
 
 14.41 
 
 43.62 
 
 14.60 
 
 43.56 
 
 14.79 
 
 46 
 
 47 
 
 44.70 
 
 14.52 
 
 44.64 
 
 14.72 
 
 44.57 
 
 14.91 
 
 44.51 
 
 15.11 
 
 47 
 
 48 
 
 45.65 
 
 14.83 
 
 45 . 59 
 
 15.03 
 
 45.52 
 
 15.23 
 
 45.45 
 
 15.43 
 
 48 
 
 49 
 
 46.60 
 
 15.14 
 
 46.54 
 
 15.:?5 
 
 46.47 
 
 15.55 
 
 46.40 
 
 rs . 75 
 
 49 
 
 50 
 
 47.55 
 
 15.45 
 
 47.48 
 
 1 5 . 06 ! 
 
 47.42 
 
 15.87 
 
 47.35 
 
 16.07 
 
 50 
 
 e 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 
 
 
 
 5 
 
 72 Deg. 
 
 7 If Deg. 
 
 7H Deg. 
 
 71* Deg. 
 
 b 
 
TRA ERSE TABLE. 
 
 C 
 
 18 Deg. 
 
 18| Deg. 
 
 18 Deg. 
 
 18| Deg. 
 
 g 
 
 stance. 
 
 
 
 
 
 stance.! 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 51 
 
 18.50 
 
 15.76 
 
 48.43 
 
 15.97 
 
 48.36 
 
 16.18 
 
 48.29 
 
 16.39 
 
 51 
 
 52 
 
 49.45 
 
 16.07 
 
 49.38 
 
 16.28 
 
 49.31 
 
 16.50 
 
 49.24 
 
 10.71 
 
 52 
 
 53 
 
 50.41 
 
 16.38 
 
 50.33 
 
 16.60 
 
 50.26 
 
 16.82 
 
 50.19 
 
 17.04 
 
 53 
 
 54 
 
 51.36 
 
 16.69 
 
 51,28 
 
 16.91 
 
 51.21 
 
 17.13 
 
 51.13 
 
 17.36 
 
 54 
 
 55 
 
 52.31 
 
 17.00 
 
 52.23 
 
 17.22 
 
 52.16 
 
 17.45 
 
 52.08 
 
 17.68 
 
 55 
 
 56 
 
 53 . 26 
 
 17.30 
 
 53,18 
 
 17.54 
 
 53.11 
 
 17.77 
 
 53.03 
 
 18.00 
 
 56 
 
 57 
 
 54.21 
 
 17.61 
 
 54.13 
 
 17.85 
 
 54.05 
 
 18.09 
 
 53.98 
 
 18.32 
 
 57 
 
 58 
 
 55.16 
 
 17.92 
 
 55.08 
 
 18.16 
 
 55.00 
 
 18.40 
 
 54.92 
 
 18.64 
 
 58 
 
 59 
 
 56 . 1 1 
 
 18.23 
 
 56.03 
 
 18.48 
 
 55.95 
 
 18.72 
 
 55.87 
 
 18.96 
 
 59 
 
 60 
 
 57.06 
 
 18.54 
 
 56.98 
 
 18.79 
 
 56.90 
 
 19.04 
 
 56.82 
 
 19.29 
 
 60 
 
 61 
 
 58.01 
 
 18 85 
 
 57.93 
 
 19.10 
 
 57.85 
 
 19.36 
 
 57.76 
 
 19.61 
 
 61 
 
 62 
 
 58.97 
 
 19.16 
 
 58.88 
 
 19.42 
 
 58.80 
 
 19.67 
 
 58.71 
 
 19.93 
 
 62 
 
 63 
 
 59.92 
 
 19.47 
 
 59,83 
 
 19.73 
 
 59 . 74 
 
 19.99 
 
 59.66 
 
 20.25 
 
 63 
 
 64 
 
 60.87 
 
 19.78 
 
 60.78 
 
 20.04 
 
 60,69 
 
 20.31 
 
 60.60 
 
 20.57 
 
 64 
 
 65 
 
 61.82 
 
 20.09 
 
 61,73 
 
 20.36 
 
 61.64 
 
 20.62 
 
 61.55 
 
 20.89 
 
 65 
 
 66 
 
 62.77 
 
 20.40 
 
 62,68 
 
 20.67 
 
 62,59 
 
 20.94 
 
 62.50 
 
 21.22 
 
 66 
 
 67 
 
 63.72 
 
 20.70 
 
 63,63 
 
 20.98 
 
 63.54 
 
 21.26 
 
 63.44 
 
 21.54 
 
 67 
 
 68 
 
 64.67 
 
 21.D1 
 
 64.58 
 
 21.30 
 
 64,49 
 
 21.58 
 
 64.39 
 
 21.86 
 
 68 
 
 69 
 
 65.62 
 
 21.32 
 
 65.53 
 
 21,61 
 
 65.43 
 
 21,89 
 
 65.34 
 
 22.18 
 
 69 
 
 70 
 
 66.57 
 
 21.63 
 
 66.48 
 
 21.92 
 
 66.38 
 
 22.21 
 
 66.29 
 
 22.50 
 
 70 
 
 71 
 
 67.53 
 
 21.94 
 
 67.43 
 
 22,23 
 
 67,33 
 
 22.53 
 
 67.23 
 
 22.82 
 
 71 
 
 72 
 
 68.48 
 
 22.25 
 
 68.38 
 
 22.55 
 
 68,28 
 
 22.85 
 
 68.18 
 
 23.14 
 
 72 
 
 73 
 
 69.43 
 
 22,56 
 
 69.33 
 
 22.86 
 
 69.23 
 
 23.16 
 
 69.13 
 
 23.47 
 
 73 
 
 74 
 
 70.38 
 
 22,87 
 
 70.28 
 
 23.17 
 
 70.18 
 
 23,48 
 
 70.07 
 
 23.79 
 
 74 
 
 75 
 
 71.33 
 
 23.18 
 
 71.23 
 
 23.49 
 
 71,12 
 
 23.80 
 
 71.02 
 
 24.11 
 
 75 
 
 76 
 
 72 . 28 
 
 23.49 
 
 72.18 
 
 23.80 
 
 72.07 
 
 24. i2 
 
 71,97 
 
 24.43 
 
 76 
 
 77 
 
 73.23 
 
 23 . 79 
 
 73.13 
 
 24.11 
 
 73.02 
 
 24.43 
 
 72.91 
 
 24.75 
 
 77 
 
 78 
 
 74.18 
 
 24.10 
 
 74.08 
 
 24.43 
 
 73.97 
 
 24,75 
 
 73.86 
 
 25.07 
 
 78 
 
 79 
 
 75.13 
 
 24.41 
 
 75.03 
 
 24.74 
 
 74.92 
 
 25,07 
 
 74.81 
 
 25.39 
 
 79 
 
 80 
 
 76.08 
 
 24 . 72 
 
 75 . 98 
 
 25.05 
 
 75.87 
 
 25.38 
 
 75.75 
 
 25.72 
 
 80 
 
 81 
 
 77.04 
 
 25.03 
 
 76 . 93 
 
 25.37 
 
 76.81 
 
 25 . 70 
 
 76.70 
 
 26.04 
 
 81 
 
 82 
 
 77.99 
 
 25.34 
 
 77.88 
 
 25,68 
 
 77.76 
 
 26.02 
 
 77.65 
 
 26.36 
 
 82 
 
 83 
 
 78 . 94 
 
 25 . 65 
 
 78.83 
 
 25.99 
 
 78.71 
 
 26.34 
 
 78.60 
 
 2.68 
 
 83 
 
 84 
 
 79.89 
 
 25.96 
 
 79.77 
 
 26.31 
 
 79.66 
 
 26.65 
 
 79.54 
 
 27.00 
 
 84 
 
 85 
 
 80.84 
 
 26.27 
 
 80.72 
 
 26 . 62 
 
 80.61 
 
 26.97 
 
 80.49 
 
 27.32 
 
 85 
 
 86 
 
 81.79 
 
 26.58 
 
 81.67 
 
 26.93 
 
 81.56 
 
 27.29 
 
 81.44 
 
 27.64 
 
 86 
 
 87 
 
 82.74 
 
 26.88 
 
 82.62 
 
 27.25 
 
 82.50 
 
 27.61 
 
 82.38 
 
 27.97 
 
 87 
 
 88 
 
 83.69 
 
 27.19 
 
 83.57 
 
 27.56 
 
 83,45 
 
 27.92 
 
 83.33 
 
 28.29 
 
 88 
 
 89 
 
 84 . 64 
 
 27.50 
 
 84.52 
 
 27.87 
 
 84.40 
 
 28.24 
 
 84.28 
 
 28.61 
 
 89 
 
 90 
 
 85 . 60 
 
 27.81 
 
 85.47 
 
 28.18 
 
 85.35 
 
 28.56 
 
 85.22 
 
 28.93 
 
 90 
 
 91 
 
 6 . 55 
 
 28.12 
 
 86.42 
 
 28.50 
 
 86.30 
 
 28.37 
 
 86.17 
 
 29.25 
 
 91 
 
 92 
 
 87.50 
 
 28.43 
 
 87.37 
 
 28.81 
 
 87.25 
 
 29.19 
 
 87.12 
 
 29.57 
 
 92 
 
 93 
 
 88.45 
 
 28.74 
 
 88.32 
 
 29.12 
 
 88.19 
 
 29.51 
 
 88.06 
 
 29.89 
 
 93 
 
 94 
 
 89.40 
 
 29.05 
 
 89.27 
 
 29.44 
 
 89.14 
 
 29.83 
 
 89.01 
 
 30.22 
 
 94 
 
 95 
 
 90.35 
 
 29.36 
 
 90.22 
 
 29.75 
 
 90.09 
 
 30.14 
 
 89.96 
 
 30.54 
 
 95 
 
 96 
 
 91.30 
 
 29.67 
 
 91.17 
 
 30.06 
 
 91.04 
 
 30.46 
 
 90.91 
 
 30.86 
 
 96 
 
 97 
 
 92.25 
 
 29.97 
 
 92.12 
 
 30.38 
 
 91.99 
 
 30.78 
 
 91.85 
 
 31.18 
 
 97 
 
 98 
 
 93.20 
 
 30.28 
 
 93.07 
 
 30.69 
 
 92.94 
 
 31.10 
 
 92.80 
 
 31.50 
 
 98 
 
 99 
 
 94.15 
 
 30.59 
 
 94.02 
 
 31.00 
 
 93.88 
 
 31.41 
 
 93.75 
 
 31.82 
 
 99 
 
 100 
 
 95.11 
 
 30.90 
 
 94.97 
 
 31.32 
 
 94.83 
 
 31.73 
 
 94.69 
 
 32.14 
 
 100 
 
 | 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. | Lat. 
 
 1 
 
 3 
 
 72 Deg. 
 
 71| Deg. 
 
 711 Deg. 
 
 714 Deg. 
 
 cd 
 
 Q 
 
40 
 
 TRAVERSE TABLE. 
 
 1 
 
 19Deg. 
 
 19* Deg. 
 
 19* Deg. 
 
 19| Deg. 
 
 g 
 
 1 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 i 
 
 1 
 
 0.95 
 
 0.33 
 
 0.94 
 
 0.33 
 
 0.94 
 
 0.33 
 
 0.94 
 
 0.34 
 
 1 
 
 2 
 
 1.89 
 
 0.65 
 
 1.89 
 
 0.66 
 
 1.89 
 
 0.67 
 
 1.88 
 
 0.68 
 
 2 
 
 3 
 
 2.84 
 
 0.98 
 
 2.83 
 
 0.99 
 
 2.83 
 
 1.00 
 
 2.82 
 
 1.01 
 
 3 
 
 4 
 
 3.78 
 
 1.30 
 
 3.78 
 
 1.32 
 
 3.77 
 
 1.34 
 
 3.76 
 
 1.35 
 
 4 
 
 5 
 
 4.73 
 
 1.63 
 
 4.72 
 
 1.65 
 
 4.71 
 
 1.67 
 
 4.71 
 
 1.69 
 
 5 
 
 6 
 
 5.67 
 
 1.95 
 
 5.66 
 
 1.98 
 
 5.66 
 
 2.00 
 
 5.65 
 
 2.03 
 
 6 
 
 7 
 
 6.62 
 
 2.28 
 
 6.61 
 
 2.31 
 
 6.60 
 
 2.34 
 
 6.59 
 
 2.37 
 
 7 
 
 8 
 
 7.56 
 
 2.60 
 
 7.55 
 
 2.64 
 
 7.54 
 
 2.67 
 
 7.53 
 
 2.70 
 
 8 
 
 9 
 
 8.51 
 
 2.93 
 
 8.50 
 
 2.97 
 
 8.48 
 
 3.00 
 
 8.47 
 
 3.04 
 
 9 
 
 10 
 
 9.46 
 
 3.26 
 
 9.44 
 
 3.30 
 
 9.43 
 
 3.34 
 
 9.41 
 
 3.38 
 
 10 
 
 11 
 
 10.40 
 
 3.58 
 
 10.38 
 
 3.63 
 
 10.37 
 
 3.67 
 
 10.35 
 
 3.72 
 
 11 
 
 12 
 
 11.35 
 
 3.91 
 
 11.33 
 
 3.96 
 
 11.31 
 
 4.01 
 
 11.29 
 
 4.06 
 
 12 
 
 13 
 
 12.29 
 
 4.23 
 
 12.27 
 
 4.29 
 
 12.25 
 
 4.34 
 
 12.24 
 
 4.39 
 
 13 
 
 14 
 
 13.24 
 
 4.56 
 
 13.22 
 
 4.62 
 
 13.20 
 
 4.67 
 
 13.18 
 
 4.73 
 
 14 
 
 15 
 
 14.18 
 
 4.88 
 
 14.16 
 
 4.95 
 
 14.14 
 
 5.01 
 
 14.12 
 
 5.07 
 
 15 
 
 16 
 
 15.13 
 
 5.21 
 
 15.11 
 
 5.28 
 
 15.08 
 
 5.34 
 
 15.06 
 
 5.41 
 
 16 
 
 17 
 
 16.07 
 
 5.53 
 
 16.05 
 
 5.60 
 
 16.02 
 
 5.67 
 
 16.00 
 
 5.74 
 
 17 
 
 18 
 
 17.02 
 
 5.86 
 
 16.99 
 
 5.93 
 
 16.97 
 
 6.01 
 
 16.94 
 
 6.08 
 
 18 
 
 19 
 
 17.96 
 
 6.19 
 
 17.94 
 
 6.26 
 
 17.91 
 
 6.34 
 
 17.88 
 
 6.42 
 
 19 
 
 20 
 
 18.91 
 
 6.51 
 
 18.88 
 
 6.59 
 
 18.85 
 
 6.68 
 
 18.82 
 
 6.76 
 
 20 
 
 21 
 
 19.86 
 
 6.84 
 
 19.83 
 
 6.92 
 
 19.80 
 
 7.01 
 
 79V76~ 
 
 7.10 
 
 21 
 
 22 
 
 20.80 
 
 7.16 
 
 20 . 77 
 
 7.25 
 
 20.74 
 
 7.34 
 
 20.71 
 
 7.43 
 
 22 
 
 23 
 
 21.75 
 
 7.49 
 
 21.71 
 
 7.58 
 
 21.68 
 
 7.68 
 
 21.65 
 
 7.77 
 
 23 
 
 24 
 
 22.69 
 
 7.81 
 
 22.66 
 
 7.91 
 
 22.62 
 
 8.01 
 
 22.59 
 
 8.11 
 
 24 
 
 25 
 
 23.64 
 
 8.14 
 
 23.60 
 
 8.24 
 
 23.57 
 
 8.35 
 
 23.53 
 
 8.45 
 
 25 
 
 26 
 
 24.58 
 
 8.46 
 
 24.55 
 
 8.57 
 
 24.51 
 
 8.68 
 
 24.47 
 
 8.79 
 
 26 
 
 27 
 
 25.53 
 
 8.79 
 
 25.49 
 
 8.90 
 
 25.45 
 
 9.01 
 
 25.41 
 
 9.12 
 
 27 
 
 28 
 
 26.47 
 
 9.12 
 
 26.43 
 
 9.23 
 
 26.39 
 
 9.35 
 
 26.35 
 
 9.46 
 
 28 
 
 29 
 
 27.42 
 
 9.44 
 
 27.38 
 
 9.56 
 
 27.34 
 
 9.68 
 
 27.29 
 
 9.80 
 
 29 
 
 30 
 
 28.37 
 
 9.77 
 
 28.32 
 
 9.89 
 
 28.28 
 
 10.01 
 
 28.24 
 
 10.14 
 
 30 
 
 31 
 
 29.31 
 
 10.09 
 
 29.27 
 
 10.22 
 
 29.22 
 
 10.35 
 
 29.18 
 
 10.48 
 
 31 
 
 32 
 
 30.26 
 
 10.42 
 
 30.21 
 
 10.55 
 
 30.16 
 
 10.68 
 
 30.12 
 
 10.81 
 
 32 
 
 33 
 
 31.20 
 
 10.74 
 
 31.15 
 
 10.88 
 
 31.11 
 
 11.02 
 
 31.06 
 
 11.15 
 
 33 
 
 34 
 
 32.15 
 
 11.07 
 
 32.10 
 
 11.21 
 
 32.05 
 
 11.35 
 
 32.00 
 
 11.49 
 
 34 
 
 35 
 
 33.09 
 
 11.39 
 
 33.04 
 
 11.54 
 
 32 . 99 
 
 11.68 
 
 32.94 
 
 11.83 
 
 85 
 
 36 
 
 34.04 
 
 1 1 . 72 
 
 33.99 
 
 11.87 
 
 33.94 
 
 12.02 
 
 33.88 
 
 12.17 
 
 36 
 
 37 
 
 34.98 
 
 12.05 
 
 34.93 
 
 12.20 
 
 34.88 
 
 12.35 
 
 34.82 
 
 12.50 
 
 37 
 
 38 
 
 35.93 
 
 12.37 
 
 35.88 
 
 12.53 
 
 35.82 
 
 12.68 
 
 35 . 76 
 
 12.84 
 
 38 
 
 39 
 
 36.88 
 
 12.70 
 
 36.82 
 
 12.86 
 
 36.70 
 
 13.02 
 
 36.71 
 
 13.18 
 
 39 
 
 40 
 
 37.82 
 
 13.02 
 
 37.76 
 
 13.19 
 
 37.71 
 
 13.35 
 
 37.65 
 
 13.52 
 
 40 
 
 41 
 
 38.77 
 
 13.35 
 
 38.71 
 
 13.52 
 
 38 . 65 
 
 13.69" 
 
 38.59 
 
 13.85 
 
 41 
 
 42 
 
 39.71 
 
 13.67 
 
 39.65 
 
 13.85 
 
 39.59 
 
 14.02 
 
 39.53 
 
 14.19 
 
 42 
 
 43 
 
 40.66 
 
 14.00 
 
 40.60 
 
 14.18 
 
 40.53 
 
 14.35 
 
 40.47 
 
 14.53 
 
 43 
 
 44 
 
 41.60 
 
 14.32 
 
 41.54 
 
 14.51 
 
 41.48 
 
 14.69 
 
 41.41 
 
 14.87 
 
 44 
 
 45 
 
 42.55 
 
 14.65 
 
 42.48 
 
 14.84 
 
 42.42 
 
 15.02 
 
 42.35 
 
 15.21 
 
 45 
 
 46 
 
 43.49 
 
 14.98 
 
 43.43 
 
 15.17 
 
 43.36 
 
 15.36 
 
 43.29 
 
 15.54 
 
 46 
 
 47 
 
 44.44 
 
 15.30 
 
 44.37 
 
 15.50 
 
 44.30 
 
 15.69 
 
 44.24 
 
 15.88 
 
 47 
 
 48 
 
 45.38 
 
 15.63 
 
 45.32 
 
 15.83 
 
 45.25 
 
 16.02 
 
 45.18 
 
 16.22 
 
 48 
 
 49 
 
 46.33 
 
 15.95 
 
 46.26 
 
 16.15 
 
 46.19 
 
 16. 56 
 
 46.12 
 
 16.56 
 
 49 
 
 50 
 
 47.28 
 
 16.28 
 
 47.20 
 
 16.48 
 
 47.13 
 
 16.69 
 
 47,06 
 
 16.90 
 
 50 
 
 | 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lai. 
 
 o 
 
 o 
 
 
 .2 
 
 Q 
 
 71 Deg. 
 
 70 Deg. 
 
 70 & Deg. 
 
 70} Deg. 
 
 s 
 
TH AVERSE TABLE. 
 
 41 
 
 g 
 
 19 Deg. 
 
 191 Deg. 
 
 19 Dog. 
 
 19| Deg. 
 
 g 
 
 00 
 
 I 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 p 
 
 51 
 
 48.22 
 
 16.60 
 
 48.15 
 
 16.81 
 
 48.07 
 
 17.02 
 
 48.00 
 
 17.23 
 
 51 
 
 52 
 
 49.17 
 
 16.93 
 
 49.09 
 
 17.14 
 
 49.02 
 
 17.36 
 
 48.94 
 
 17.57 
 
 52 
 
 53 
 
 50.11 
 
 17.26 
 
 50.04 
 
 17.47 
 
 49.96 
 
 17.69 
 
 49.88 
 
 17.91 
 
 53 
 
 54 
 
 51.06 
 
 17.58 
 
 50.98 
 
 17.80 
 
 50.90 
 
 18.03 
 
 50.82 
 
 18.25 
 
 54 
 
 55 
 
 52.00 
 
 17.91 
 
 51.92 
 
 18.13 
 
 51.85 
 
 18.36 
 
 51.76 
 
 18.59 
 
 55 
 
 56 
 
 52.95 
 
 18.23 
 
 52.87 
 
 18.46 
 
 52.79 
 
 18.69 
 
 52.71 
 
 18.92 
 
 56 
 
 57 
 
 53.89 
 
 18.56 
 
 53.81 
 
 18.7-9 
 
 53.73 
 
 19.03 
 
 53.65 
 
 19.26 
 
 57 
 
 58 
 
 54.84 
 
 18.88 
 
 54.76 
 
 19.12 
 
 54.67 
 
 19.36 
 
 54.59 
 
 19.60 
 
 58 
 
 59 
 
 55.79 
 
 19.21 
 
 55.70 
 
 19.45 
 
 55.62 
 
 19.69 
 
 55.53 
 
 19.94 
 
 59 
 
 60 
 
 56.73 
 
 19.53 
 
 56.65 
 
 19.78 
 
 58.56 
 
 20.03 
 
 56.47 
 
 20.27 
 
 60 
 
 61 
 
 5^.68 
 
 19.86 
 
 57.59 
 
 20.11 
 
 57.50 
 
 20.36 
 
 57.41 
 
 20.61 
 
 61 
 
 62 
 
 58.62 
 
 20.19 
 
 58.53 
 
 20.44 
 
 58.44 
 
 20.70 
 
 58.35 
 
 20,95 
 
 62 
 
 63 
 
 59.57 
 
 20.51 
 
 59.48 
 
 20.77 
 
 59.39 
 
 21.03 
 
 59.29 
 
 21.29 
 
 63 
 
 64 
 
 60.51 
 
 20.84 
 
 60.42 
 
 21.10 
 
 60.33 
 
 21.36 
 
 60.24 
 
 21.63 
 
 64 
 
 65 
 
 61.46 
 
 21.16 
 
 61.37 
 
 21.43 
 
 61.27 
 
 21.70 
 
 61.18 
 
 21.96 
 
 65 
 
 66 
 
 62.40 
 
 21.49 
 
 62.31 
 
 21.76 
 
 62.21 
 
 22.03 
 
 62.12 
 
 22.30 
 
 66 
 
 67 
 
 63.35 
 
 21.81 
 
 63.25 
 
 22.09 
 
 63.16 
 
 22.37 
 
 63.06 
 
 22 . 64 
 
 67 
 
 68 
 
 64.30 
 
 22.14 
 
 64.20 
 
 22.42 
 
 64.10 
 
 22.70 
 
 64.00 
 
 22 . 98 
 
 68 
 
 69 
 
 65.24 
 
 22.46 
 
 65.14 
 
 22.75 
 
 65.04 
 
 23.03 
 
 64.94 
 
 23.32 
 
 69 
 
 70 
 
 66.19 
 
 22.79 
 
 66.09 
 
 23.08 
 
 65.98 
 
 23.37 
 
 65.88 
 
 23 . 65 
 
 70 
 
 71 
 
 67.13 
 
 23.12 
 
 67.03 
 
 23.41 
 
 66.93 
 
 23.70 
 
 66.82 
 
 23.99 
 
 71 
 
 72 
 
 68.08 
 
 23.44 
 
 67.97 
 
 23.74 
 
 67.87 
 
 24.03 
 
 67.76 
 
 24.33 
 
 72 
 
 73 
 
 69.02 
 
 23 . 77 
 
 68.92 
 
 24.07 
 
 68.81 
 
 24.37 
 
 68.71 
 
 24.67 
 
 73 
 
 74 
 
 69.97 
 
 24.09 
 
 69.86 
 
 24.40 
 
 69.76 
 
 24.70 
 
 69 . 65 
 
 25.01 
 
 74 
 
 75 
 
 70.91 
 
 24.42 
 
 70.81 
 
 24 . 73 
 
 70.70 
 
 2C.04 
 
 70 . 59 
 
 25.34 
 
 75 
 
 76 
 
 71.86 
 
 24.74 
 
 7 1 . 75 
 
 25.06 
 
 71.64 
 
 25.37 
 
 71.53 
 
 25 . 68 
 
 76 
 
 77 
 
 72.80 
 
 25.07 
 
 72.69 
 
 25.39 
 
 72.58 
 
 25.70 
 
 72.47 
 
 26.02 
 
 77 
 
 78 
 
 73.75 
 
 25 . 39 
 
 73.64 
 
 25.72 
 
 73.53 
 
 26.04 
 
 73.41 
 
 26.36 
 
 78 
 
 79 
 
 74.70 
 
 25.72 
 
 74.58 
 
 26.05 
 
 74.47 
 
 26.37 
 
 74.35 
 
 26.70 
 
 79 
 
 80 
 
 75.64 
 
 26.05 
 
 75.53 
 
 26.38 
 
 75.41 
 
 26.70 
 
 75.29 
 
 27.03 
 
 80 
 
 81 
 
 76.59 
 
 26.37 
 
 76.47 
 
 26.70 
 
 76.35 
 
 27.04 
 
 76.24 
 
 27.37 
 
 81 
 
 82 
 
 77.53 
 
 26.70 
 
 77.42 
 
 27.03 
 
 77.30 
 
 27.37 
 
 77.18 
 
 27.71 
 
 82 
 
 83 
 
 78.48 
 
 27.02 
 
 78.36 
 
 27.36 
 
 78.24 
 
 27.71 
 
 78.12 
 
 28.05 
 
 83 
 
 84 
 
 79.42 
 
 27.35 
 
 79.30 
 
 27.69 
 
 79.18 
 
 28.04 
 
 79.06 
 
 28.39 
 
 84 
 
 85 
 
 80.37 
 
 27.67 
 
 80 . 25 
 
 28.02 
 
 80.12 
 
 28.37 
 
 80.00 
 
 28 . 72 
 
 85 
 
 86 
 
 81.31 
 
 28.00 
 
 81.19 
 
 28.35 
 
 81.07 
 
 28.71 
 
 80.94 
 
 29.06 
 
 86 
 
 87 
 
 82.26 
 
 28.32 
 
 82.14 
 
 28.68 
 
 82.01 
 
 29.04 
 
 81.88 
 
 29.40 
 
 87 
 
 88 
 
 83.21 
 
 28 . 65 
 
 83.08 
 
 29.01 
 
 92.95 
 
 29.37 
 
 82.82 
 
 29.74 
 
 88 
 
 89 
 
 84.15 
 
 28.98 
 
 84.02 
 
 29.34 
 
 83.90 
 
 29.71 
 
 83.76 
 
 30.07 
 
 89 
 
 90 
 
 85.10 
 
 29.30 
 
 84.97 
 
 29.67 
 
 84.84 
 
 30.04 
 
 84.71 
 
 30.41 
 
 90 
 
 91 
 
 86.04 
 
 29.63 
 
 85.91 
 
 30.00 
 
 85.78 
 
 30.38 
 
 85.65 
 
 30.75 
 
 91 
 
 92 
 
 86.99 
 
 29.95 
 
 86.86 
 
 30.33 
 
 86.72 
 
 30.71 
 
 86.59 
 
 31.09 
 
 92 
 
 93 
 
 87.93 
 
 30.28 
 
 87.80 
 
 30.66 
 
 87.67 
 
 31.04 
 
 87.53 
 
 31 .43 
 
 93 
 
 94 
 
 88.88 
 
 30.60 
 
 88.74 
 
 30.99 
 
 88.61 
 
 31.38 
 
 8-8.47 
 
 31.76 
 
 94 
 
 95 
 
 89.82 
 
 30.93 
 
 89.69 
 
 31.32 
 
 89.55 
 
 31.71 
 
 89.41 
 
 32.10 
 
 95 
 
 96 
 
 90.77 
 
 31.25 
 
 90.63 
 
 31.65 
 
 90.49 
 
 32.05 
 
 90.35 
 
 32.44 
 
 96 
 
 97 
 
 91.72 
 
 31.58 
 
 91.58 
 
 31.98 
 
 91.44 
 
 32.38 
 
 91.29 
 
 32.78 
 
 97 
 
 98 
 
 92.66 
 
 31.91 
 
 92.52 
 
 32.31 
 
 92.38 
 
 32.71 
 
 92.24 
 
 33.12 
 
 98 
 
 99 
 
 93.61 
 
 32.23 
 
 93.46 
 
 32.64 
 
 93.32 
 
 33.05 
 
 93.18 
 
 33.45 
 
 99 
 
 100 
 
 94.55 
 
 32.56 
 
 94.41 
 
 32.97 
 
 94.26 
 
 33.38 
 
 94.12 
 
 33.79 
 
 100 
 
 I 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 <v 
 u 
 
 3 
 
 
 
 
 
 -2 
 
 OB 
 
 3 
 
 71 Deg. 
 
 70| Deg. 
 
 70| Deg. 
 
 70J Deg. 
 
 01 
 
 5 
 
TRAVERSE TABLE. 
 
 Distance.! 
 
 20 Deg. 
 
 20i Deg. 
 
 2QJ Deg. 
 
 20J Deg. 
 
 Distance. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Let. 
 
 Dep. 
 
 1 
 
 0.94 
 
 0.34 
 
 0.94 
 
 0.35 
 
 0.94 
 
 0.35 
 
 0.94 
 
 0.35 
 
 1 
 
 2 
 
 1.88 
 
 0.68 
 
 1.88 
 
 0.69 
 
 1.87 
 
 0.70 
 
 1.87 
 
 0.71 
 
 2 
 
 3 
 
 2.82 
 
 1.03 
 
 2.81 
 
 1.04 
 
 2.81 
 
 1.05 
 
 2.81 
 
 1.06 
 
 3 
 
 4 
 
 3.76 
 
 1.37 
 
 3.75 
 
 1.38 
 
 3.75 
 
 1.40 
 
 3.74 
 
 1.42 
 
 4 
 
 5 
 
 4.70 
 
 1.71 
 
 4.69 
 
 1.73 
 
 4.68 
 
 1.75 
 
 4.68 
 
 1.77 
 
 5 
 
 6 
 
 5.64 
 
 2.05 
 
 5.63 
 
 2.08 
 
 5.62 
 
 2.10 
 
 5.61 
 
 2.13 
 
 6 
 
 7 
 
 6.58 
 
 2.39 
 
 6.57 
 
 2.42 
 
 6.56 
 
 2.45 
 
 6.55 
 
 2.48 
 
 7 
 
 8 
 
 7.52 
 
 2.74 
 
 7.51 
 
 2.77 
 
 7.49 
 
 2.80 
 
 7.48 
 
 2.83 
 
 8 
 
 9 
 
 8.46 
 
 3.08 
 
 8.44 
 
 3.12 
 
 8.43 
 
 3.15 
 
 8.42 
 
 3.19 
 
 9 
 
 10 
 
 9. '40 
 
 3.42 
 
 9.38 
 
 3.46 
 
 9.37 
 
 3.50 
 
 9.35 
 
 3.54 
 
 10 
 
 11 
 
 10.34 
 
 3.76 
 
 10.32 
 
 3.81 
 
 10.30 
 
 3.85 
 
 10.29 
 
 3.90 
 
 11 
 
 12 
 
 11.28 
 
 4.10 
 
 11.26 
 
 4.15 
 
 11.24 
 
 4.20 
 
 11.22 
 
 4.25 
 
 12 
 
 13 12.22 
 
 4.45 
 
 12.20 
 
 4.50 
 
 12.18 
 
 4.55 
 
 12.16 
 
 4.61 
 
 13 
 
 14 
 
 13.16 
 
 4.79 
 
 13.13 
 
 4.85 
 
 13.11 
 
 4.90 
 
 13.09 
 
 4.96 
 
 14 
 
 15 
 
 14.10 
 
 5.13 
 
 14.07 
 
 5.19 
 
 14.05 
 
 5.25 
 
 14.03 
 
 5.31 
 
 15 
 
 16 
 
 15.04 
 
 5.47 
 
 15.01 
 
 5.54 
 
 14.99 
 
 5.60 
 
 14.96 
 
 5.67 
 
 16 
 
 17 
 
 15.97 
 
 5.81 
 
 15.95 
 
 5.88 
 
 15.92 
 
 5 . 95 
 
 15.90 
 
 6.02 
 
 17 
 
 18 
 
 16.91 
 
 6.16 
 
 16.89 
 
 6.23 
 
 16.86 
 
 6.30 
 
 16.83 
 
 6.38 
 
 18 
 
 19 
 
 17.85 
 
 6.50 
 
 17.83 
 
 6.58 
 
 17.80 
 
 6.65 
 
 17.77 
 
 6.73 
 
 19 
 
 20 
 
 18.79 
 
 6.84 
 
 18.76 
 
 6.92 
 
 18.73 
 
 7.00 
 
 18.70" 
 
 7.09 
 
 20 
 
 21 
 
 19.73 
 
 7.18 
 
 19.70 
 
 7.27 
 
 19.67 
 
 7.35 
 
 19.64 
 
 7.44 
 
 21 
 
 22 
 
 20 . 67 
 
 7.52 
 
 20.64 
 
 7.61 
 
 20.61 
 
 7.70 
 
 20.57 
 
 7.79 
 
 22 
 
 23 
 
 21. Cl 
 
 7.87 
 
 21.58 
 
 7.96 
 
 21.54 
 
 8.05 
 
 21.51 
 
 8.15 
 
 23 
 
 24 
 
 22 . 55 
 
 8.21 
 
 22.52 
 
 8.31 
 
 22.48 
 
 8.40 
 
 22.44 
 
 8.50 
 
 24 
 
 25 
 
 23.49 
 
 8.55 
 
 23.45 
 
 8.65 
 
 23.42 
 
 8.76 
 
 23.38 
 
 8.86 
 
 25 
 
 26 
 
 24.43 
 
 8.89 
 
 24.39 
 
 9.00 
 
 24.35 
 
 9.11 
 
 24.31 
 
 9.21 
 
 26 
 
 27 
 
 25.37 
 
 9.23 
 
 25.33 
 
 9.35 
 
 25 . 29 
 
 9.46 
 
 25.25 
 
 9 . 57 
 
 27 
 
 28 
 
 26.31 
 
 9.58 
 
 26.27 
 
 9.69 
 
 26.23 
 
 9.81 
 
 26.18 
 
 9.92 
 
 28 
 
 29 
 
 27.25 
 
 9.92 
 
 27.21 
 
 10.04 
 
 27.16 
 
 10.16 
 
 27.12 
 
 10.27"- 
 
 29 
 
 30 
 
 28.19 10.26 
 
 28.15 
 
 10.38 
 
 28.10 
 
 10.51 
 
 28 . 05 
 
 10.63 
 
 30 
 
 31 
 
 29.13 
 
 10.60 
 
 29 . 08 
 
 10.73 
 
 29.04 
 
 10.86 
 
 28.99 
 
 10.98 
 
 31 
 
 32 
 
 30.07 
 
 10.94 
 
 30.02 
 
 11.08 
 
 29.97 
 
 11.21 
 
 29.92 
 
 11.34 
 
 32 
 
 33 
 
 31.01 
 
 11.29 
 
 30.96 
 
 11.42 
 
 30.91 
 
 11.56 
 
 30.88 
 
 11.69 
 
 33 
 
 34 
 
 31.95 
 
 11.63 
 
 31.90 
 
 11.77 
 
 31.85 
 
 11.91 
 
 31.79 
 
 12. On 
 
 34 
 
 35 
 
 32.89 
 
 11.97 
 
 32.84 
 
 12.11 
 
 32.78 
 
 12.26 
 
 32.73 
 
 12.40 
 
 35 
 
 36 
 
 33.83 
 
 12.31 
 
 33.77 
 
 12.46 
 
 33 . 72 
 
 12.61 
 
 33.66 
 
 12.75 
 
 36 
 
 37 
 
 34.77 
 
 12.65 
 
 34.71 
 
 12.81 
 
 34 . 66 
 
 12.96 
 
 34.60 
 
 13.11 
 
 37 
 
 38 
 
 35.71 
 
 13.00 
 
 35.65 
 
 13.15 
 
 35 . 59 
 
 13.31 
 
 35 .-54 
 
 13.46 
 
 38 
 
 39 
 
 36 . 65 
 
 13.34 
 
 36.59 
 
 13.50 
 
 36 . 53 
 
 13.66 
 
 36.47 
 
 13.82 
 
 39 
 
 40 
 
 37.59! 13.68 
 
 37 . 53 
 
 13.84 
 
 37.47 
 
 14.01 
 
 37.41 
 
 14.17 
 
 40 
 
 41 
 
 38.53 
 
 14.02 
 
 38.47 
 
 14.19 
 
 38.40 
 
 14.36 
 
 38.34 
 
 14.53 
 
 41 
 
 42 
 
 39.47 
 
 14.36 
 
 39.40 
 
 14.54 
 
 39.34 
 
 14.71 
 
 39.28 
 
 14.88 
 
 42 
 
 43 
 
 40.41 
 
 14.71 
 
 40.34 
 
 14.88 
 
 40.28 
 
 15.06 
 
 40.21 
 
 15.23 
 
 43 
 
 44 
 
 41.35 15.05 
 
 41.28 
 
 15.23 
 
 41.21 
 
 15.41 
 
 41.15 
 
 15.59 
 
 44 
 
 45 
 
 42 . 29 
 
 15.39 
 
 42 . 22 
 
 15.58 
 
 42.15 
 
 15.76 
 
 42.08 
 
 15.94 
 
 45 
 
 46 
 
 43.23 
 
 15.73 
 
 43.16 
 
 15.92 
 
 43.09 
 
 16.11 
 
 43.02 
 
 16.30 
 
 46 
 
 47 
 
 44.17 
 
 16.07 
 
 44.09 
 
 16.27 
 
 44.02 
 
 16.46 
 
 43.95 
 
 16.65 
 
 47 
 
 48 
 
 45.11 
 
 16.42 
 
 45.03 
 
 16.61 
 
 44.96 
 
 16.81 
 
 44.89 
 
 17.01 
 
 48 
 
 49 
 
 46.04 
 
 16.76 
 
 45.97 
 
 16.96 
 
 45.90 
 
 17.16 
 
 45.82 
 
 17.36 
 
 49 
 
 50 
 
 46,98 
 
 17.10 
 
 46.91 
 
 17.31 
 
 46.83 
 
 17.51 
 
 46.715 
 
 17.71 
 
 50 
 
 Q 
 o 
 
 c 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 c3 
 
 
 
 
 
 1 
 
 Q 
 
 70 Deg. 
 
 69| Deg. 
 
 69i Deg. 
 
 69i Deg. 
 
 Q 
 
TRAVERSE TABLE. 
 
 43 
 
 3T 
 
 20 Deg. 
 
 20i Deg. 
 
 20 Deg. 
 
 20f Deg. 
 
 ft 
 
 Q9 
 
 1 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 3 
 O 
 CD 
 
 51 
 
 47.92 
 
 17.44 | 
 
 i~.35 
 
 17.65 
 
 47.77 
 
 17.86 ! 
 
 47.69 
 
 18.07 
 
 51 
 
 52 
 
 48.86 
 
 17.79 
 
 48.79 
 
 18.00 
 
 48.71 
 
 18.21 
 
 48.63 
 
 18.42 
 
 52 
 
 53 
 
 49.80 
 
 18.13 
 
 49.72 
 
 18.34 
 
 49.64 
 
 18.56 
 
 49.56 
 
 18.78 
 
 53 
 
 54 
 
 50.74 
 
 18.47 
 
 50.66 
 
 18.69 
 
 50.58 
 
 18.91 
 
 50 . 50 
 
 19.13 
 
 54 
 
 55 
 
 51.63 
 
 18.81 
 
 51.60 
 
 19.04 
 
 51.52 
 
 19.26 
 
 51.43 
 
 19.49 
 
 55 
 
 56 
 
 52.62 
 
 19.15 
 
 52.54 
 
 19.38 
 
 52.45 
 
 19.61 
 
 52.37 
 
 19.84 
 
 56 
 
 57 
 
 53.56 
 
 19.50 
 
 53.48 
 
 19.73 
 
 53.39 
 
 19.96 
 
 53.30 
 
 20.19 
 
 57 
 
 58 
 
 54.50 
 
 19.84 
 
 54.42 
 
 20.07 
 
 54.33 
 
 20.31 1 
 
 54.24 
 
 20.55 
 
 58 
 
 59 
 
 55.44 
 
 20.18 
 
 55.35 
 
 20.42 
 
 55.26 
 
 20.661 
 
 55.17 
 
 20.90 
 
 59 
 
 60 
 
 56.33 
 
 20.52 
 
 56.29 
 
 20.77 
 
 56.20 
 
 21.01 
 
 56 . 1 1 
 
 2 1 . 26 
 
 60 
 
 61 
 
 57.32 
 
 20.86 
 
 57.23 
 
 21.11 
 
 57.14 
 
 21.36 
 
 57.04 
 
 21.61 
 
 61 
 
 62 
 
 58.26 
 
 21.21 
 
 58.17 
 
 21.46 
 
 58.07 
 
 21.71 
 
 57.98 
 
 21.97 
 
 62 
 
 63 
 
 59.20 
 
 21.55 
 
 59.11 
 
 21.81 
 
 59.01 
 
 22.06 
 
 58.91 
 
 22.32 
 
 63 
 
 64 
 
 60.14 
 
 21.89 
 
 60.04 
 
 22.15 
 
 59 . 95 
 
 22.41 
 
 59.85 
 
 22 . 67 
 
 64 
 
 65 
 
 61.08 
 
 22.23 
 
 60.93 
 
 22.50 
 
 60.83 
 
 22.76 
 
 60.78 
 
 23.03 
 
 65 
 
 66 
 
 62 . 02 
 
 22 . 57 
 
 61.92 
 
 22 . 84 
 
 61.82 
 
 23.11 
 
 61.72 
 
 23 . 38 
 
 66 
 
 67 
 
 62.96 
 
 22.92 
 
 62.86 
 
 23.19 
 
 62.76 
 
 23.46! 
 
 62.65 
 
 23 . 74 
 
 67 
 
 68 
 
 63.90 
 
 23.26 
 
 63.80 
 
 23.54 
 
 63.69 
 
 23.81 
 
 63.59 
 
 24.09 
 
 68 
 
 69 
 
 64.84 
 
 23.60 
 
 64.74 
 
 23.88 
 
 64.63 
 
 24.16 
 
 64.52 
 
 24.45 
 
 69 
 
 70 
 
 65.78 
 
 23.94 
 
 65.67 
 
 24.23 
 
 65.57 
 
 24.51 i 
 
 65.46 
 
 24.80 
 
 70 
 
 71 
 
 66 . 72 
 
 24.28 
 
 66.61 
 
 24.57 
 
 66.50 
 
 24.86 
 
 66.39 
 
 25.15 
 
 71 
 
 72 
 
 67.66 
 
 24.63 
 
 67.55 
 
 24.92 
 
 67.44 
 
 25.21 
 
 67.33 
 
 25.51 
 
 72 
 
 73 
 
 68.60 
 
 24.97 
 
 68.49 
 
 25.27 
 
 68.33 
 
 25.57 
 
 68.26 
 
 25.86 
 
 73 
 
 74 
 
 69.54 
 
 25.31 
 
 69.43 
 
 25.61 
 
 69.31 
 
 25.92 
 
 69.20 
 
 26.22 
 
 74 
 
 75 
 
 70.48 
 
 25.65 1 70.36 
 
 25.96 
 
 70.25 
 
 26.27 
 
 70.14 
 
 26.57 
 
 75 
 
 76 
 
 71.42 
 
 25.99 
 
 71.30 
 
 26.30 
 
 71.19 
 
 26.62 
 
 71.07 
 
 26.93 
 
 76 
 
 77 
 
 72.36 
 
 26.34 
 
 72.24 
 
 26.65 
 
 72.12 
 
 26.97 
 
 72.01 
 
 27.28 
 
 77 
 
 78 
 
 73.30 
 
 26.68 
 
 73.18 
 
 27.00 
 
 73.06 
 
 27.32 
 
 72 . 94 
 
 27.63 
 
 78 
 
 79 
 
 74.24 
 
 27.02 
 
 74.12 
 
 27.34 
 
 74.00 
 
 27 . 67 
 
 73.88 
 
 27.99 
 
 79 
 
 80 
 
 75.18 
 
 27.36 
 
 75.06 
 
 27.69 
 
 74.93 
 
 23.02 
 
 74.81 
 
 28.34 
 
 80 
 
 81 
 
 76.12 
 
 27.70 
 
 75.99 
 
 28.04 
 
 75.87 
 
 28.37 
 
 75 . 75 
 
 28 . 70 
 
 81 
 
 82 
 
 77.05 
 
 28.05 
 
 76 . 93 
 
 23.33 
 
 76.81 
 
 28 . 72 
 
 76.68 
 
 29.05 
 
 82 
 
 83 
 
 77.99 
 
 28.39 
 
 77.87 
 
 28 . 73 
 
 77.74 
 
 29.07 
 
 77.62 
 
 29.41 
 
 83 
 
 84 
 
 78.93 
 
 28.73 
 
 78.81 
 
 29.07 
 
 78.68 
 
 29.42 
 
 78 . 55 
 
 29.76 
 
 84 
 
 85 
 
 79.87 
 
 29.07 
 
 79 . 75 
 
 29.42 
 
 79.62 
 
 29.77 
 
 79.49 
 
 30.11 
 
 85 
 
 86 
 
 80.81 
 
 29.41 
 
 80.68 
 
 29.77 
 
 80 . 55 
 
 30.12 
 
 80.42 
 
 30.47 
 
 86 
 
 87 
 
 81.75 
 
 29^76 
 
 81.62 
 
 30.11 
 
 81.49 
 
 30.47 
 
 81.36 
 
 30.82 
 
 87 
 
 88 
 
 82.69 
 
 30.10 
 
 82.56 
 
 30.46 
 
 82.43 
 
 30 . 82 
 
 82.29 
 
 31.18 
 
 83 
 
 89 
 
 83.63 
 
 30.44 
 
 83.50 
 
 30.80 
 
 83.36 
 
 31.17 
 
 83.23 
 
 3 1 . 53 
 
 89 
 
 90 
 
 84.57 
 
 30.78 
 
 84.44 
 
 31.15 
 
 84.30 
 
 31.52 
 
 84 . 1 o 
 
 31.89 
 
 90 
 
 91 
 
 85.51 
 
 31.12 
 
 85.38 
 
 31.50 
 
 85.24 
 
 31.87 
 
 85.10 
 
 32.24 
 
 91 
 
 92 
 
 86.45 
 
 31.47 
 
 86.31 
 
 31.84 
 
 86.17 
 
 32.22 
 
 86.03 
 
 32.59 
 
 92 
 
 93 
 
 87.39 
 
 31.81 
 
 87.25 
 
 32.19 
 
 87.11 
 
 32.57 
 
 86.97 
 
 32.93 
 
 93 
 
 94 
 
 88.33 
 
 32.15 
 
 88.19 
 
 32 . 54 
 
 88.05 
 
 32.92 
 
 87.90 
 
 33.30 
 
 94 
 
 95 
 
 89.27 
 
 32.49 
 
 89.13 
 
 32.88 
 
 ,83.93 
 
 33.27 
 
 88.84 
 
 33.66 
 
 95 
 
 96 
 
 90.21 
 
 32.83 
 
 90.07 
 
 33.23 
 
 89.92 
 
 33.62 
 
 89.77 
 
 34.01 
 
 96 
 
 97 
 
 91.15 
 
 33.18 
 
 91.00 
 
 33.57 
 
 90.86 
 
 33.97 
 
 90.71 
 
 34.37 
 
 97 
 
 98 
 
 92.09 
 
 33.52 
 
 91.94 
 
 33.92 
 
 91.79 
 
 34.32 
 
 91.64 
 
 34 . 72 
 
 93 
 
 99 
 
 93.03 
 
 33.86 
 
 92.88 
 
 34.27 
 
 92.73 
 
 34.67 
 
 92.58 
 
 35.07 
 
 99 
 
 100 
 
 93.97 
 
 34.20 
 
 93.82 
 
 34.61 
 
 93.67 
 
 35.02 
 
 93.51 
 
 35.43 
 
 100 
 
 8 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 .5 
 
 
 
 
 
 Q 
 
 70 Deg. 
 
 69| Deg. 
 
 69| Deg. 
 
 694 l>eg 
 
 Q 
 
44 
 
 TRAVERSE TABLE. 
 
 o 
 
 .. *>-* ** . ' 
 21 Deg. 
 
 2U Deg. 
 
 II 
 21| Deg. 21| Deg. 
 
 C 
 
 33 
 
 
 
 
 55 
 
 p 
 
 
 Dep. 
 
 
 Lat. 
 
 j 
 
 fa 
 P 
 
 Lat. 
 
 Lat. 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 
 
 0.93 
 
 0.36 
 
 0.93 
 
 0.36 
 
 0.93 
 
 O.oTI 
 
 0.93 
 
 0.37 
 
 1 
 
 2 
 
 1.87 
 
 0.72 
 
 1.86 
 
 0.72 
 
 1.86 
 
 0.73 
 
 1.86 
 
 0.74 
 
 2 
 
 3 
 
 2.80 
 
 1.08 
 
 2.80 
 
 1.09 
 
 2.79 
 
 1.10 
 
 2.79 
 
 1.11 
 
 3 
 
 4 
 
 3.73 
 
 1.43 
 
 3.73 
 
 1.45 
 
 3.72 
 
 1.47 
 
 3.72 
 
 1.48 
 
 .4 
 
 5 
 
 4.67 
 
 1.79 
 
 4.66 
 
 1.81 
 
 4.65 
 
 1.83 
 
 4.64 
 
 1.85 
 
 5 
 
 6 
 
 5.60 
 
 2.15 
 
 5.59 
 
 2.17 
 
 5.58 
 
 2.20 
 
 5.57 
 
 2.22 
 
 6 
 
 7 
 
 6.54 
 
 2.51 
 
 6.52 
 
 2.54 
 
 6.51 
 
 2.57 
 
 6.50 
 
 2.59 
 
 7 
 
 8 
 
 7.47 
 
 2.87 
 
 7.46 
 
 2.90 
 
 7.44 
 
 2.93 
 
 7.43 
 
 2.96 
 
 8 
 
 9 
 
 8.40 
 
 3.23 
 
 8.39 
 
 3.26 
 
 8.37 
 
 3.30 
 
 8.36 
 
 3.34 
 
 9 
 
 10 
 
 9.34 
 
 3.58 
 
 9.32 
 
 3.62 
 
 9.30 
 
 3.67 
 
 9.29 
 
 3.71 
 
 10 
 
 11 
 
 10.27 
 
 3.94 
 
 10.25 
 
 3.99 
 
 10.23 
 
 4.03 
 
 10.22 
 
 4.08 
 
 11 
 
 12 
 
 11.20 
 
 4.30 
 
 11.18 
 
 4.35 
 
 11.17 
 
 4.40 
 
 11.15 
 
 4.45 
 
 12 
 
 13 
 
 12.14 
 
 4.66 
 
 12.12 
 
 4.71 
 
 12.10 
 
 4.76 
 
 12.07 
 
 4.82 
 
 13 
 
 14 
 
 13.07 
 
 5.02 
 
 13.05 
 
 5.07 
 
 13.03 
 
 5.13 
 
 13.00 
 
 5.19 
 
 14 
 
 15 
 
 14.00 
 
 5.38 
 
 13.98 
 
 5.44 
 
 13.96 
 
 5.50 
 
 13.93 
 
 5.56 
 
 15 
 
 16 
 
 14.94 
 
 5.73 
 
 14.91 
 
 5.80 
 
 14.89 
 
 5.86 
 
 14.86 
 
 5.93 
 
 16 
 
 17 
 
 15.87 
 
 6.09 
 
 15.84 
 
 6.16 
 
 15.82 
 
 6.23 
 
 15.79 
 
 6.30 
 
 17 
 
 18 
 
 16.80 
 
 6.45 
 
 16.78 
 
 6.52 
 
 16.75 
 
 6.60 
 
 16.72 
 
 6.67 
 
 18 
 
 19 
 
 17.74 
 
 6.81 
 
 IT". 71 
 
 6.89 
 
 17.68 
 
 6.96 
 
 17.65 
 
 7.04 
 
 19 
 
 20 
 
 18.67 
 
 7.17 
 
 18.64 
 
 7.25 
 
 18.61 
 
 7.33 
 
 18.58 
 
 7.41 
 
 20 
 
 21 
 
 19.61 
 
 7.53 
 
 19.57 
 
 7.61 
 
 19.54 
 
 7.70 
 
 19.50 
 
 7.78 
 
 21 
 
 22 
 
 20.54 
 
 7.88 
 
 20.50 
 
 7.97 
 
 20.47 
 
 8.06 
 
 20.43 
 
 8.15 
 
 22 
 
 23 
 
 21.47 
 
 8.24 
 
 21.44 
 
 8.34 
 
 21.40 
 
 8.43 
 
 21.36 
 
 8.52 
 
 23 
 
 24 
 
 22.41 
 
 8.60 
 
 22.37 
 
 8.70 
 
 22.33 
 
 8.80 
 
 22.29 
 
 8.89 
 
 24 
 
 25 
 
 23.34 
 
 8.96 
 
 23.30 
 
 9.06 
 
 23.26 
 
 9.16 
 
 23.22 
 
 9.26 
 
 25 
 
 26 
 
 24.27 
 
 9.32 
 
 24.23 
 
 9.42 
 
 24.19 
 
 9.53 
 
 24.15 
 
 9.63 
 
 26 
 
 27 
 
 25.21 
 
 9.68 
 
 25.16 
 
 9.79 
 
 25.12 
 
 9.90 
 
 25.08 
 
 10.01 
 
 27 
 
 28 
 
 26.14 
 
 10.03 
 
 26.10 
 
 10.15 
 
 26.05 
 
 10.26 
 
 26.01 
 
 10.38 
 
 28 
 
 29 
 
 27.07 
 
 10.39 
 
 27.03 
 
 10.51 
 
 26.98 
 
 10.63 
 
 26.94 
 
 10.75 
 
 29 
 
 30 
 
 28.01 
 
 10.75 
 
 27.96 
 
 10.87 
 
 27.91 
 
 11.00 
 
 27.86 
 
 11.12 
 
 30 
 
 31 
 
 28.94 
 
 11.11 
 
 28.89 
 
 11.24 
 
 28.84 
 
 11.36 
 
 28 . 79 
 
 11.49 
 
 31 
 
 32 
 
 29.87 
 
 11.47 
 
 29.82 
 
 11.60 
 
 29.77 
 
 11.73 
 
 29 . 72 
 
 11.86 
 
 32 
 
 33 
 
 30.81 
 
 11.83 
 
 30.76 
 
 11.96 
 
 30.70 
 
 12.09 
 
 30.65 
 
 12.23 
 
 33 
 
 34 
 
 31.74 
 
 12.18 
 
 31.69 
 
 12.32 
 
 31.63 
 
 12.46 
 
 31.58 
 
 12.60 
 
 34 
 
 35 
 
 32.68 
 
 12.54 
 
 32.62 
 
 12.69 
 
 32 . 56 
 
 12.83 
 
 32.51 
 
 12.97 
 
 35 
 
 36 
 
 33.61 
 
 12.90 
 
 33.55 
 
 13.05 
 
 33.50 
 
 13.19 
 
 33.44 
 
 13.34 
 
 36 
 
 37 
 
 34.54 
 
 13.26 
 
 34.48 
 
 13.41 
 
 34.43 
 
 13.56 
 
 34.37 
 
 13.71 
 
 37 
 
 38 
 
 35.48 
 
 13.62 
 
 35.42 
 
 13.77 
 
 35.36 
 
 13.93 
 
 35.29 
 
 14.08 
 
 38 
 
 39 
 
 36.41 
 
 13.98 
 
 36.35 
 
 14.14 
 
 36.29 
 
 14.29 
 
 36.22 
 
 14.45 
 
 39 
 
 40 
 
 37.34 
 
 14.33 
 
 37.28 
 
 14.50 
 
 37.22 
 
 14.66 
 
 37.15 
 
 14.82 
 
 40 
 
 41 
 
 33.28 
 
 14.69 
 
 38.21 
 
 14.86 
 
 38.15 
 
 15.03 
 
 38.08 
 
 15.19 
 
 41 
 
 42 
 
 39.21 
 
 15.05 
 
 39.14 
 
 15.22 
 
 39.08 
 
 15.39 
 
 39.01 
 
 15.56 
 
 42 
 
 43 
 
 40.14 
 
 15.41 
 
 40.08 
 
 15.58 
 
 40.01 
 
 15.76 
 
 39.94 
 
 15.93 
 
 43 
 
 44 
 
 41.08 
 
 15,77 
 
 41.01 
 
 15.95 
 
 40.94 
 
 16.13 
 
 40.87 
 
 16.30 
 
 44 
 
 45 
 
 42.01 
 
 16.13 
 
 41.94 
 
 16. 3.1 
 
 41.87 
 
 16.49 
 
 41.80 
 
 16.68 
 
 45 
 
 46 
 
 42.94 
 
 16.48 
 
 42.87 
 
 16.67 
 
 42.80 
 
 16.86 
 
 42.73 
 
 17.05 
 
 46 
 
 47 
 
 43.88 
 
 16.84 
 
 43.80 
 
 17.03 
 
 43.73 
 
 17.23 
 
 43.65 
 
 17.42 
 
 47 
 
 48 
 
 44.81 
 
 17.20 
 
 44.74 
 
 17.40 
 
 44.66 
 
 17.59 
 
 44.58 
 
 17.79 
 
 48 
 
 49 
 
 45 . 75 
 
 17.56 
 
 45.67 
 
 17.76 
 
 45.59 
 
 17.96 
 
 45.51 
 
 18.16 
 
 49 
 
 BO 
 
 46.68 
 
 17.92 
 
 46.60 
 
 18.12 
 
 46.52 
 
 18.33 
 
 46.44 
 
 18.53 
 
 50 
 
 'i 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 
 
 
 
 
 
 1 
 
 Q 1 69 Deg. 
 
 68| Deg. 
 
 681 Deg. 
 
 68| Deg. 
 
 Q 
 
TRAVERSE TABLE. 
 
 45 
 
 
 
 21 Deg. 
 
 2H Deg. 
 
 21 Deg. 
 
 21 1 Deg. 
 
 O 
 
 55' 
 
 
 
 
 
 OT* 
 
 P 
 
 
 
 
 
 3 
 
 3 
 o 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 3 
 ?. 
 
 51 
 
 47.61 
 
 18.28 
 
 47.53 
 
 18.48 
 
 47.45 
 
 18.69 
 
 47.37 
 
 18.90 
 
 TjJ 
 
 52 
 
 48.55 
 
 18.64 
 
 48.46 
 
 18.85 
 
 48.38 
 
 i9.ee 
 
 48.30 
 
 19.27 
 
 52 
 
 53 
 
 49.48 
 
 18.99 
 
 49.40 
 
 19,21 
 
 49.31 
 
 19.42 
 
 49 . 23 
 
 19.64 
 
 53 
 
 54 
 
 50.41 
 
 19.35 
 
 50.33 
 
 19.57 
 
 50.24 
 
 19.79 
 
 50.16 
 
 20.01 
 
 54 
 
 55 
 
 51.35 
 
 19.71 
 
 51.26 
 
 19.93 
 
 51.17 
 
 20.16 
 
 51.08 
 
 20.38 
 
 55 
 
 56 
 
 52 28 
 
 20.07 
 
 52.19 
 
 20 . 3.0 
 
 52.10 
 
 20 . 52 
 
 52.01 
 
 20.75 
 
 56 
 
 57 
 
 53 21 
 
 20.43 
 
 53.12 
 
 20 . 66 
 
 53.03 
 
 20.89 
 
 52.94 
 
 21.12 
 
 57 
 
 58 
 
 54.15 
 
 20 . 79 
 
 54.06 
 
 21.02 
 
 53.96 
 
 21.26 
 
 53.87 
 
 21.49 
 
 58 
 
 59 
 
 55.08 
 
 21.14 
 
 54.99 
 
 21.38 
 
 54.89 
 
 21.62 
 
 54.80 
 
 21.86 
 
 59 
 
 60 
 
 56.01 
 
 21.50 
 
 55.92 
 
 21.75 
 
 55.83 
 
 21.99 
 
 55.73 
 
 22.23 
 
 60 
 
 61 
 
 56 . 95 
 
 21.86 
 
 56.85 
 
 22 . 1 1 
 
 56.76 
 
 22 . 36 
 
 56 . 66 
 
 22,60 
 
 61 
 
 62 
 
 57.88 
 
 22 22 
 
 57.78 
 
 22.47 
 
 57.69 
 
 22.72 
 
 57.59 
 
 22.97 
 
 62 
 
 63 
 
 58.82 
 
 22! 58 
 
 58,72 
 
 22.83 
 
 58.62 
 
 23.09 
 
 58.52 
 
 23.35 
 
 63 
 
 64 
 
 59.75 
 
 22.94 
 
 59 . 65 
 
 23.20 
 
 59 . 55 
 
 23.46 
 
 59.44 
 
 23 . 72 
 
 64 
 
 65 
 
 60.68 
 
 23.29 
 
 60.58 
 
 23.56 
 
 60.48 
 
 23.82 
 
 60.37 
 
 24.09 
 
 65 
 
 66 
 
 61.62 
 
 23.65 
 
 61.51 
 
 23.92 
 
 61.41 
 
 24.19 
 
 61.30 
 
 24.46 
 
 66 
 
 67 
 
 62 . 55 
 
 24.01 
 
 62.44 
 
 24.28 
 
 62.34 
 
 24.56 
 
 62.23 
 
 24.83 
 
 67 
 
 68 
 
 63.48 
 
 24.37 
 
 63.38 
 
 24.65 
 
 63.27 
 
 24.92 
 
 63.16 
 
 25.20 
 
 68 
 
 69 
 
 64.42 
 
 24.73 
 
 64.31 
 
 25.01 
 
 64.20 
 
 25.29 
 
 64.09 
 
 25.57 
 
 69 
 
 70 
 
 65.35 
 
 25.09 
 
 65.24 
 
 25.37 
 
 65.13 
 
 25.66 
 
 65.02 
 
 25 . 94 
 
 70 
 
 "71 
 
 6h.28. 
 
 25.44J 
 
 66.17 
 
 25.73 
 
 66.06 
 
 26.02 
 
 65 . 95 
 
 26.31 
 
 71 
 
 72 
 
 67.22 
 
 25.80 
 
 67.10 
 
 26.10 
 
 66.99 
 
 26.39 
 
 66.87 
 
 26.68 
 
 72 
 
 73 
 
 68.15 
 
 26.16 
 
 68 . 04 
 
 26.46 
 
 67.92 
 
 26 . 75 
 
 67.80 
 
 27.05 
 
 73 
 
 74 
 
 69.08 
 
 26.52 
 
 68.97 
 
 26.82 
 
 68.85 
 
 27.12 
 
 68.73 
 
 27.42 
 
 74 
 
 75 
 
 70.02 
 
 26.88 
 
 69.90 
 
 27.18 
 
 69.78 
 
 27.49 
 
 69 . 66 
 
 27.79 
 
 75 
 
 76 
 
 70.95 
 
 27.24 
 
 70.83 
 
 27.55 
 
 70.71 
 
 27.85 
 
 70.59 
 
 28.16 
 
 76 
 
 77 
 
 71.89 
 
 27.59 
 
 71.76 
 
 27.91 
 
 71.64 
 
 28.22 
 
 71.52 
 
 28.53 
 
 77 
 
 78 
 
 72.82 
 
 27.95 
 
 72.70 
 
 28.27 
 
 72.57 
 
 28.59 
 
 72.45 
 
 28.90 
 
 78 
 
 79 
 
 73 . 75 
 
 28.31 
 
 73.63 
 
 28 . 63 
 
 73.50 
 
 28.95 
 
 73.38 
 
 29.27 
 
 79 
 
 80 
 
 74.69 
 
 28.67 
 
 74.56 
 
 29.00 
 
 74.43 
 
 29.32 
 
 74.30 
 
 29.64 
 
 80 
 
 81 
 
 75.62 
 
 29.03 
 
 75.49 
 
 29 . 38 
 
 75.36 
 
 29.69 
 
 75.23 
 
 30.02 
 
 81 
 
 82 
 
 76 . 55 
 
 29.39 
 
 76.42 
 
 29.72 
 
 76.29 
 
 30.05 
 
 76 . 16 
 
 30.39 
 
 82 
 
 83 
 
 77.49 
 
 29.74 
 
 77.36 
 
 30.08 
 
 77 . 22 
 
 30.42 
 
 77.09 
 
 30.76 
 
 83 
 
 84 
 
 78.42 
 
 30.10 
 
 78.29 
 
 30.44 
 
 78.16 
 
 30.79 
 
 78.02 
 
 31.13 
 
 84 
 
 85 
 
 79.35 
 
 30.46 
 
 79.22 
 
 30.81 
 
 i 79.09 
 
 31.15 
 
 78 . 95 
 
 31.50 
 
 85 
 
 86 
 
 80.29 
 
 30.82 
 
 80.15 
 
 31. 1 1 * ^80.02 
 
 31.52 
 
 79 . 88 
 
 31.87 
 
 86 
 
 87 
 
 81.22 
 
 31.18 
 
 81.08 
 
 31.53 
 
 80 . 95 
 
 31.89 
 
 80.81 
 
 32.24 
 
 87 
 
 88 
 
 82.16 
 
 31.54 
 
 82.02 
 
 31.89 
 
 81.88 
 
 32.25 
 
 81.74 
 
 32.61 
 
 88 
 
 89 
 
 83.09 
 
 31.89 
 
 82.95 
 
 32.26 
 
 82.81 
 
 32 . 62 
 
 82.66 
 
 32.98 
 
 39 
 
 90 
 
 84.02 
 
 32.25 
 
 83.88 
 
 32 . 62 ! 83 . 74 
 
 32.99 
 
 83.59 
 
 33 . 35 
 
 90 
 
 91 
 
 84.96 
 
 32.61 
 
 ! 84.81 
 
 32.98 | 84.67 
 
 33.35 
 
 184.52 
 
 33 . 72 
 
 91 
 
 92 
 
 85.89 
 
 32.97 
 
 85 . 74 
 
 33.34 i! 85.60 
 
 33.72 
 
 85.45 
 
 34.09 
 
 92 
 
 93 
 
 86.82 
 
 33 . 33 
 
 86.68 
 
 33.71 86.53 
 
 34.08 
 
 86.38 
 
 34.46 
 
 93 
 
 94 
 
 87.76 
 
 33.89 
 
 87.61 
 
 34.07 ! 87.46 
 
 34.45 
 
 87.31 
 
 34.83 
 
 94 
 
 95 
 
 8S.69 
 
 34.04 
 
 88.54 
 
 34.43 ij 88.39 
 
 34.82 
 
 88.24 
 
 35.20 
 
 95 
 
 96 
 
 89.62 
 
 34.40 
 
 89.47 
 
 34.79 89.32 
 
 35.18 
 
 89.17 
 
 35.57 
 
 96 
 
 97 
 
 90.56 
 
 34.76 
 
 90.40 
 
 35". 16 i 90.25 
 
 35.55 
 
 ! 90.09 
 
 35.94 
 
 97 
 
 98 
 
 91.49 
 
 35.12 
 
 91.34 
 
 35*. 52 i 91.18 
 
 35.. 92 
 
 91.02 
 
 36.31 
 
 98 
 
 99 
 
 92.42 
 
 35.48 
 
 92.27 
 
 35.88 :j 92.11 
 
 36.28 
 
 91.95 
 
 36 . 69 
 
 99 
 
 100 
 
 93.36 
 
 35.84 
 
 93.20 
 
 36.24 S 98.04 
 
 36.65 
 
 92.88 
 
 37.06 
 
 100 
 
 8 
 
 5 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 rt 
 
 Q 
 
 69 Deg. 
 
 68| Deg. 
 
 68 Deg. 68* Deg. 
 
 Q 
 
TRAVERSE TABLE, 
 
 d 
 
 55" 
 
 pT 
 
 22 Deg. 
 
 22* Deg. 
 
 221 Deg. 
 
 22J Deg. 
 
 d 
 sr 
 
 ID 
 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 
 
 T 
 
 0.93 
 
 0.37 
 
 0.93 
 
 0.38 
 
 0.92 
 
 . 33 
 
 0.92 
 
 0.39 
 
 i 
 
 2 
 
 1.85 
 
 0.75 
 
 1.85 
 
 0.76 
 
 1.85 
 
 0.77 
 
 1.84 
 
 0.77 
 
 2 
 
 3 
 
 2.73 
 
 1.12 
 
 2.78 
 
 1.14 
 
 2.77 
 
 1.15 
 
 2.77 
 
 1.16 
 
 3 
 
 4 
 
 3.71 
 
 1.50 
 
 3.70 
 
 1.51 
 
 3.70 
 
 1.53 
 
 3.69 
 
 1.55 
 
 4 
 
 5 
 
 4.64 
 
 1.87 
 
 4.63 
 
 1.89 
 
 4.62 
 
 1.91 
 
 4.61 
 
 1.93 
 
 5 
 
 6 
 
 5.56 
 
 2.25 
 
 5.55 
 
 2.27 
 
 5.54 
 
 2.30 
 
 5.53 
 
 2.32 
 
 6 
 
 7 
 
 6.49 
 
 2.62 
 
 6.48 
 
 2.65 
 
 6.47 
 
 2.68 
 
 6.46 
 
 2.71 
 
 7 
 
 8 
 
 7.42 
 
 3.00 
 
 7.40 
 
 3.03 
 
 7.39 
 
 3.06 
 
 7.38 
 
 3.09 
 
 8 
 
 9 
 
 8.34 
 
 3.37 
 
 8.33 
 
 3.41 
 
 8.31 
 
 3.44 
 
 8.30 
 
 3.48 
 
 9 
 
 10 
 
 9.27 
 
 3 . 75 
 
 9.26 
 
 3.79 
 
 9.24 
 
 3.83 
 
 9.22 
 
 3.87 
 
 10 
 
 11 
 
 10.20 
 
 4.13 
 
 10.18 
 
 4.17 
 
 10.16 
 
 4.21 
 
 10.14 
 
 4.25 
 
 11 
 
 12 
 
 11.13 
 
 4.50 
 
 11.11 
 
 4.54 
 
 11.09 
 
 4.59 
 
 11.07 
 
 4.64 
 
 12 
 
 13 
 
 12.05 
 
 4.87 
 
 12.03 
 
 4.92 
 
 12.01 
 
 4.97 
 
 11.99 
 
 5.03 
 
 13 
 
 14 
 
 12.98 
 
 5.24 
 
 12.96 
 
 5.30 
 
 12.93 
 
 5.36 
 
 12.91 
 
 5.41 
 
 14 
 
 15 
 
 13.91 
 
 5.62 
 
 13.88 
 
 5.68 
 
 13.86 
 
 5.74 
 
 13.83 
 
 5.80 
 
 15 
 
 16 
 
 14.83 
 
 5.99 
 
 14.81 
 
 6.06 
 
 14.78 
 
 6.12 
 
 14.76 
 
 6.19 
 
 16 
 
 17 
 
 15.76 
 
 6.37 
 
 15.73 
 
 6.44 
 
 15.71 
 
 6.51 
 
 15.68 
 
 6.57 
 
 17 
 
 18 
 
 16.69 
 
 6.74 
 
 16.66 
 
 6.82 
 
 16.63 
 
 6.89 
 
 16.60 
 
 6.96 
 
 18 
 
 19 
 
 17.62 
 
 7.12 
 
 17.59 
 
 7.19 
 
 17.55 
 
 7.27 
 
 17.52 
 
 7.3* 
 
 19 
 
 20 
 
 18.54 
 
 7.49 
 
 18.51 
 
 7.57 
 
 18.48 
 
 7.65 
 
 18.44 
 
 7.73 
 
 20 
 
 21 
 
 19.47 
 
 7.87 
 
 19.44 
 
 7.95 
 
 19.40 
 
 8.04 
 
 19.37 
 
 8.12 
 
 21 
 
 22 
 
 20.40 
 
 8.24 
 
 20 . 36 
 
 8.33 
 
 20.33 
 
 8.42 
 
 20.29 
 
 8.51 
 
 22 
 
 23 
 
 21.33 
 
 8.62 
 
 21.29 
 
 8.71 | 21.25 
 
 8.80 
 
 21.21 
 
 8.89 
 
 23 
 
 24 
 
 22.25 
 
 8.99 
 
 22.21 
 
 9.09 22.17 
 
 9.18 
 
 22.13 
 
 9.28 
 
 24 
 
 25 
 
 23.18 
 
 9.37 
 
 23.14 
 
 9.47 
 
 23.10 
 
 9.57 
 
 '23.05 
 
 9.67 
 
 25 
 
 26 
 
 24.11 
 
 9.74 
 
 24.06 
 
 9.84 
 
 24.02 
 
 9.95 
 
 : 23.98 
 
 10.05 
 
 26 
 
 27 
 
 25.03 
 
 10.11 
 
 24.99 
 
 10.22 
 
 24.94 
 
 10.33 
 
 124.90 
 
 10.44 
 
 27 
 
 28 
 
 25.96 
 
 10.49 
 
 25.92 
 
 10.60 
 
 25.87 
 
 10.72 
 
 S25.82 
 
 10.83 
 
 28 
 
 29 
 
 26.89 
 
 10.86 
 
 26.84 
 
 10.93 
 
 26 . 79 
 
 11.10 
 
 ! 26 . 74 
 
 11.21 
 
 29 
 
 30 27.82 
 
 11.24 
 
 27.77 
 
 11.36 
 
 27.72 
 
 11.48 
 
 127.67 
 
 11.60 
 
 30 
 
 31 
 
 28 . 74 
 
 11.61 
 
 28.69 
 
 11.74 
 
 28.64 
 
 11.86 
 
 28 . 59 
 
 11.99 
 
 31 
 
 32 
 
 29.67 
 
 11.99 
 
 29.62 
 
 12.12 
 
 29.56 
 
 12.25 
 
 29.51 
 
 12.37 
 
 32 
 
 33 
 
 r.0.60 
 
 12.36 
 
 30.54 
 
 12.50 
 
 30.49 
 
 12.63 
 
 130.43 
 
 12.76 
 
 33 
 
 34 
 
 31.52 
 
 12 . 74 
 
 31.47 
 
 12.87 
 
 31.41 
 
 13.01 
 
 131.35 
 
 13.15 
 
 34 
 
 35 
 
 32.45 
 
 13.11 
 
 32 . 39 
 
 13.25 
 
 32.34 
 
 13.39 
 
 S32.28 
 
 13.53 
 
 35 
 
 36 
 
 33.33 
 
 13.49 
 
 33.32 
 
 13.63 
 
 .33.26 
 
 13.78 
 
 I 33 . 20 
 
 13.92 
 
 36 
 
 37 
 
 34.31 
 
 13.86 
 
 34.24 
 
 14.01 
 
 34.18 
 
 14.16 
 
 134.12 
 
 14.31 
 
 37 
 
 38 
 
 35 . 23 
 
 14.24 
 
 35.17 
 
 14.39 
 
 35 . 1 1 
 
 14.54 
 
 35 . 04 
 
 14.70 
 
 33 
 
 39 
 
 36.16 
 
 14.61 
 
 36.10 
 
 14.77 
 
 36.03 
 
 14.92 
 
 35.97 
 
 15.08 
 
 39 
 
 40 
 
 37.09 
 
 14.98 
 
 37.02 
 
 15.15 
 
 36. 98 
 
 15.31 
 
 36.89 
 
 15.47 
 
 40 
 
 41 
 
 33.01 ! 15.36 
 
 37.95 
 
 15.52 
 
 37.88 
 
 15.69 
 
 37.81 
 
 15.88 
 
 41 
 
 42 
 
 38.94 I 15.73 
 
 38.87 
 
 15.90 
 
 33.80 
 
 16.07 
 
 33 . 73 
 
 16.24 
 
 42 
 
 43 
 
 39.87 1 16.11 
 
 39.80 
 
 16.23 
 
 39 . 73 
 
 16.46 
 
 39.65 
 
 16.63 
 
 43 
 
 44 
 
 40.80 1 16.48 
 
 40.72 
 
 16.66 
 
 40 . 65 
 
 16.84 
 
 40.58 
 
 17.02 
 
 44 
 
 45 
 
 41.72 .16.86 
 
 41.65 
 
 17.04 
 
 41.57 
 
 17.22 
 
 41.50 
 
 17.40 
 
 45 
 
 46 
 
 42.65 ! 17.23 
 
 42 . 57 
 
 17.42 
 
 42.50 
 
 17.60 
 
 4-2.42 
 
 17.79 
 
 46 
 
 47 
 
 43.58 i 17.61 
 
 43.50 
 
 17.80 
 
 43.42 
 
 17.99 
 
 43.34 
 
 18.18 
 
 47 
 
 48 |44.50 i 17.98 
 
 44.43 
 
 18.18 
 
 44.35 
 
 18.37 
 
 44.27 
 
 18.56 
 
 48 
 
 49 
 
 45.43 i 18.36 
 
 45.35 
 
 ] 8 . 55 
 
 45.27. 
 
 18.75 
 
 45.19 
 
 18.95 
 
 49 
 
 50 
 
 46.36 l 18.73 
 
 46.28 
 
 18.93 
 
 46.19 
 
 19.13 
 
 46.11 
 
 19.34 
 
 50 
 
 o 
 o 
 
 c 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 CD 
 
 O 
 
 q 
 
 i 
 
 
 
 
 
 1 
 
 to 
 
 5 
 
 68 Deg. 
 
 67 1 Deg. 
 
 G7 Deg. 
 
 67i Deg. 
 
 fi 
 
 
 
 
 
 1 
 
TRAVERSE TABLE. 
 
 47 
 
 o 
 
 OB" 
 
 22 Deg. 
 
 22J Deg. 
 
 221 Deg. 
 
 22| Deg. 
 
 
 5' 
 
 
 
 
 
 
 P 
 
 3 
 O 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 3 
 o 
 
 CD 
 
 ~5~T 
 
 47.29 
 
 19.10 
 
 47.20 
 
 19.31 
 
 47.12 
 
 19.52 
 
 47.03 
 
 19.72 
 
 ~5T 
 
 52 
 
 48,21 
 
 19.48 
 
 48.13 
 
 19.69 
 
 48.04 
 
 19.90 
 
 47.95 
 
 20.11 
 
 52 
 
 53 
 
 49.14 
 
 19.85 
 
 49.05 
 
 20.07 
 
 48.97 
 
 20.28 
 
 48.88 
 
 20.50 
 
 53 
 
 54 
 
 50.07 
 
 20.23 
 
 49.98 
 
 20 .45 
 
 49.89 
 
 20.66 
 
 49.80 
 
 20.88 
 
 54 
 
 55 
 
 51.00 
 
 20.60 
 
 50.90 
 
 20.83 
 
 50.81 
 
 21.05 
 
 50.72 
 
 21.27 
 
 55 
 
 56 
 
 51.92 
 
 20.98 
 
 51.83 
 
 21.20 
 
 51.74 
 
 21.43 
 
 51.64 
 
 21.66 
 
 58 
 
 57 
 
 52.85 
 
 21.35i 
 
 52.76 
 
 21.58 
 
 52.66 
 
 21.81 
 
 52.57 
 
 22.04 
 
 57 
 
 58 
 
 53.78 
 
 21.73 
 
 53.68 
 
 21.96 
 
 53.59 
 
 22.20 
 
 53.49 
 
 22.43 
 
 58 
 
 59 154.70 
 
 22.10 
 
 54.61 
 
 22.34 
 
 54.51 
 
 22.58 
 
 54.41 
 
 22 .82 
 
 59 
 
 60 155.63 22.48 
 
 55 . 53 
 
 22 . 72 
 
 55.43 
 
 22.96 
 
 55.33 
 
 23.20 
 
 60 
 
 "61 
 
 56.56 
 
 22.85 
 
 56.47 
 
 23.10 
 
 56 . 36 
 
 23.34 
 
 56.25 
 
 23.59 
 
 61 
 
 62 
 
 57.49 
 
 23.23 
 
 57.38 
 
 23.48 
 
 57.28 
 
 23.73 
 
 57.18 
 
 23.98 
 
 62 
 
 63 
 
 58.41 
 
 23 . 60 
 
 58.31 
 
 23 . 85 
 
 58.20 
 
 24.11 
 
 58.10 
 
 24.36 
 
 63 
 
 64 
 
 59.34 
 
 23.97 
 
 59 . 23 
 
 24.23 
 
 59.13 
 
 24.49 
 
 59.02 
 
 24.75 
 
 64 
 
 65 
 
 60.27 
 
 24.35 
 
 60.16 
 
 24.61 
 
 60.05 
 
 24.87 
 
 59.94 
 
 25 . 14 
 
 65 
 
 66 
 
 61.19 
 
 24.72 
 
 61.09 
 
 24.99 
 
 60.98 
 
 25.26 
 
 60.87 
 
 25.52 
 
 66 
 
 67 
 
 62.12 
 
 25.10 
 
 62.01 
 
 25.37 
 
 61.90 
 
 25 . 64 
 
 61.79 
 
 25.91 
 
 67 
 
 63 
 
 63.05 
 
 25.47 
 
 62.94 
 
 25.75 
 
 62.82 
 
 26.02 
 
 62.71 
 
 26.30 
 
 68 
 
 69 
 
 63 . 98 
 
 25.85 
 
 63.86 
 
 26.13 
 
 63.75 
 
 26.41 
 
 63.63 
 
 26.68 
 
 69 
 
 70 
 
 64.90 
 
 26.22 
 
 64.79 26.51 
 
 64.67 
 
 26.79 
 
 64.55 
 
 27.07 
 
 70 
 
 ~71 
 
 65 . 83 
 
 26 . 60 
 
 65.71. 26.88 
 
 65.60 
 
 27.17 
 
 65.48 
 
 27.46 
 
 71 
 
 72 
 
 66.76 
 
 26.97 
 
 66.64 
 
 27.26 
 
 66 . 52 
 
 27.55 
 
 66.40 
 
 27.84 
 
 72 
 
 73 
 
 67.63 
 
 27.35 
 
 67.56 
 
 27.64 
 
 67.44 
 
 27.94 
 
 67.32 
 
 28.23 
 
 73 
 
 74 
 
 68.61 
 
 27.72 
 
 68.49 
 
 28.02 
 
 68.37 
 
 28.32 
 
 68.24 
 
 28.62 
 
 74 
 
 75 
 
 69.54 
 
 .28.10 
 
 69.42 
 
 28.40 
 
 69.29 
 
 23.70 
 
 69.17 
 
 29.00 
 
 75 
 
 76 
 
 70.47 
 
 28.47 
 
 70.34 
 
 23 . 78 
 
 70.21 
 
 29.08 
 
 70.09 
 
 29.39 
 
 76 
 
 77 
 
 71.39 
 
 28.84 
 
 71.27 
 
 29.16 
 
 71.14 
 
 29.47 
 
 71.01 
 
 29 . 78 
 
 77 
 
 73 
 
 72.32 
 
 29.22 
 
 72.19 
 
 29.53 
 
 72.06 
 
 29.85 
 
 71.93 
 
 30.16 
 
 78 
 
 ' 79 
 
 73.25 
 
 29.59 
 
 73.12 
 
 29.91 
 
 72.99 
 
 30.23 
 
 72.85 
 
 30.55 
 
 79 
 
 80 
 
 74.17 
 
 29.97 
 
 74.04 
 
 30.29 
 
 73.91 
 
 30.61 
 
 73.78 
 
 30.94 
 
 80 
 
 81 
 
 75.10 
 
 30.34 
 
 74.97 
 
 30.67 
 
 74.83 
 
 31.00 
 
 74.70 
 
 31.32 
 
 81 
 
 82 
 
 76.03 
 
 30.72 
 
 75.89 
 
 31.05 
 
 75 . 76 
 
 31.38 
 
 75.62 
 
 31.71 
 
 82 
 
 83 
 
 76.96 
 
 31.09 
 
 76.82 
 
 31.43 
 
 76.68 
 
 31.76 
 
 76.54 
 
 32.10 
 
 83 
 
 84 
 
 77.88 
 
 31.47 
 
 77.75 
 
 31.81 
 
 77.61 
 
 32.15 
 
 77.46 
 
 32.43 
 
 84 
 
 85 
 
 78.81 
 
 31.84 
 
 78.67 
 
 32.19 
 
 78.53 
 
 32.53 
 
 78.39 
 
 32.87 
 
 85 
 
 86 
 
 79.74 
 
 32.22 
 
 79.60 
 
 32.56 
 
 79.45 
 
 32.91 
 
 79.31 
 
 33.26 
 
 86 
 
 87 
 
 80.66 
 
 32 . 59 
 
 80 . 52 
 
 32 . 94" 
 
 80.38 
 
 33.29 
 
 80.23 
 
 33.64 
 
 87 
 
 83 
 
 Si 159 
 
 32.97 
 
 81.45 
 
 33 . 32 
 
 81.30 
 
 33.68 
 
 81.15 
 
 34.03 
 
 88 
 
 89 
 
 82.52 
 
 33.34 
 
 82.37 
 
 33.70 
 
 82.23 
 
 34.06 
 
 82.08 
 
 34.42 
 
 89 
 
 90 
 
 83.45 
 
 33.71 
 
 83.30 
 
 34.08 
 
 83.15 
 
 34.44 
 
 83.00 
 
 34.80 
 
 90 
 
 91 
 
 84.37 
 
 34.09 
 
 84.22 
 
 34.46 
 
 84.07 
 
 34.82 
 
 83.92 
 
 35.19 
 
 91 
 
 92 
 
 85.30 
 
 34.46 
 
 85.15 
 
 34.84 
 
 85.00 
 
 35.21 
 
 84.84 
 
 35.58 
 
 92 
 
 93 86.23 
 
 34.84 
 
 86.08 35.21 
 
 85.92 
 
 35 . 59 
 
 85 . 76 
 
 35. 9G 
 
 93 
 
 94 87.16 
 
 35.21 
 
 87. 00 I 35.59 
 
 86.84 
 
 35.97 
 
 86.69 
 
 38.35 
 
 94 
 
 95 |83.08 
 
 35.59 
 
 87.93 35.97 
 
 87.77 
 
 36.35 
 
 87.61 
 
 36.74 
 
 95 
 
 96 ! 89.01 
 
 35.96 
 
 88.85 36.35 
 
 88.69 
 
 36.74 
 
 88.53 
 
 37.12 
 
 96 
 
 97 89.94 
 
 36.34 
 
 89.78 
 
 36.73 
 
 89.62 
 
 37.12 
 
 89.45 
 
 37.51 
 
 97 
 
 93 
 
 90.86 
 
 36.71 
 
 90.70 37.11 
 
 90.54 
 
 37.50 
 
 90.38 
 
 37.90 
 
 98 
 
 99 
 
 91.79 
 
 37.09 
 
 91.63 37.49 
 
 '91.46 
 
 37.89 
 
 91.30 
 
 38.28 
 
 99 
 
 100 
 
 92.72 
 
 37.46 
 
 92.55 37.86 
 
 i92.39 
 
 38.27 
 
 92.22 38.67 
 
 100 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 D*ep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 aj 
 o 
 
 q 
 
 ci 
 
 i 5 
 
 68 Deg. 
 
 67| Deg. 
 
 671 Deg. 
 
 67* Deg. 
 
 p 
 
TRAVERSE TABLE 
 
 q 
 
 23 Deg. 
 
 23} Deg. 
 
 23 Deg. 
 
 23| Deg. 
 
 O 
 
 p* 
 
 
 
 
 
 1 
 
 P 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 
 
 i 
 
 0.92 
 
 0.39 
 
 0.92 
 
 0.39 
 
 0.92 
 
 ~Ob~ 
 
 0.92 
 
 0.40 
 
 1 
 
 2 
 
 1.84 
 
 0.78 
 
 1.84 
 
 0.79 
 
 1.83 
 
 0.80 
 
 1.83 
 
 0.81 
 
 2 
 
 3 
 
 2.76 
 
 1.17 
 
 2.76 
 
 1.18 
 
 2.75 
 
 1.20 
 
 2.75 
 
 1.21 
 
 3 
 
 4 
 
 3.68 
 
 1.56 
 
 3.68 
 
 1.58 
 
 3.67 
 
 1.59 
 
 3.66 
 
 1.61 
 
 4 
 
 5 
 
 4.60 
 
 1.95 
 
 4.59 
 
 1.97 
 
 4.59 
 
 1.99 
 
 4.58 
 
 2.01 
 
 5 
 
 6 
 
 5.52 
 
 2.34 
 
 5.51 
 
 2.37 
 
 5.50 
 
 2.39 
 
 5.49 
 
 2.42 
 
 6 
 
 7 
 
 6.44 
 
 2.74 
 
 6.43 
 
 2.76 
 
 6.42 
 
 2.79 
 
 6.41 
 
 2.82 
 
 7 
 
 8 
 
 7.36 
 
 3.13 
 
 7.35 
 
 3.16 
 
 7.34 
 
 3.19 
 
 7.32 
 
 3.22 
 
 8 
 
 9 
 
 8.28 
 
 3.52 
 
 8.27 
 
 3.55 
 
 8.25 
 
 3.59 
 
 8.24 
 
 3.62 
 
 9 
 
 10 
 
 9.20 
 
 3.91 
 
 9.19 
 
 3.95 
 
 9.17 
 
 3.99 
 
 9.15 
 
 4.03 
 
 10 
 
 11 
 
 10.13 
 
 4.30 
 
 10.11 
 
 4.34 
 
 10.09 
 
 4.39 
 
 10.07 
 
 4.43 
 
 11 
 
 12 
 
 11.05 
 
 4.69 
 
 11.03 
 
 4.74 
 
 11.00 
 
 4.78 
 
 10.98 
 
 4.83 
 
 12 
 
 13 
 
 11.97 
 
 5.08 
 
 11.94 
 
 5.13 
 
 11.92 
 
 5.18 
 
 11.90 
 
 5.24 
 
 13 
 
 14 
 
 12.89 
 
 5.47 
 
 12.86 
 
 5.53 
 
 12.84 
 
 5.58 
 
 12.81 
 
 5.64 
 
 14 
 
 15 
 
 13.81 
 
 5.86 
 
 13.78 
 
 5.92 
 
 13.76 
 
 5.98 
 
 13.73 
 
 6.04 
 
 15 
 
 16 
 
 14.73 
 
 6.25 
 
 14.70 
 
 6.32 
 
 14.67 
 
 6.38 
 
 14.64 
 
 6.44 
 
 16 
 
 17 
 
 15.65 
 
 6.64 
 
 15.62 
 
 6.71 
 
 15.59 
 
 6.78 
 
 15.56 
 
 6,85 
 
 17 
 
 18 
 
 16.57 
 
 7.03 
 
 16.54 
 
 7.11 
 
 16.51 
 
 7.18 
 
 16.48 
 
 7.25 
 
 18 
 
 19 
 
 17.49 
 
 7.42 
 
 17.46 
 
 7.50 
 
 17.42 
 
 7.58 
 
 17.39 
 
 7.65 
 
 19 
 
 20 
 
 18.41 
 
 7.81 
 
 18.38 
 
 7.89 
 
 18.34 
 
 7.97 
 
 18.31 
 
 8.05 
 
 20 
 
 21 
 
 19.33 
 
 8.21 
 
 19.29 
 
 8.29 
 
 19.26 
 
 8.37 
 
 19.22 
 
 8.46 
 
 21 
 
 22 
 
 20.25 
 
 8.60 
 
 20.21 
 
 8.68 
 
 20.18 
 
 8.77 
 
 20.14 
 
 8.86 
 
 22 
 
 23 
 
 21.17 
 
 8.99 
 
 21.13 
 
 9.08 
 
 21.09 
 
 9.17 
 
 21.05 
 
 9.26 
 
 23 
 
 24 
 
 22.09 
 
 9.38 
 
 22.05 
 
 9.47 
 
 22.01 
 
 9.57 
 
 21.97 
 
 9.67 
 
 24 
 
 25 
 
 23.01 
 
 9.77 
 
 22.97 
 
 9.87 
 
 22.93 
 
 9.97 
 
 22.88 
 
 10.07 
 
 25 
 
 26 123.93 
 
 10.16 
 
 23.89 
 
 10.26 
 
 23.84 
 
 10.37 
 
 23.80 
 
 10.47 
 
 26 
 
 27 
 
 24.85 
 
 10.55 
 
 24.81 
 
 10.66 
 
 24.76 
 
 10.77 
 
 24.71 
 
 10.87 
 
 27 
 
 28 
 
 25.77 
 
 10.94 
 
 25.73 
 
 11.05 
 
 25.68 
 
 11.16 
 
 25.63 
 
 1 .1 .-28 
 
 28 
 
 29 
 
 26.69 
 
 11.33 
 
 26.64 
 
 11.45 
 
 26.59 
 
 11.56 
 
 26.54 
 
 11.68 
 
 29 
 
 30 
 
 27.62 
 
 11.72 
 
 27.56 
 
 11.84 
 
 27.51 
 
 11.96 
 
 27.46 
 
 12.08 
 
 30 
 
 31 
 
 28.54 
 
 12.11 
 
 28.48 
 
 12.24 
 
 28.43 
 
 12.36 
 
 28.37 
 
 12.49 
 
 31 
 
 32 
 
 29.46 
 
 12.50 
 
 29.40 
 
 12.63 
 
 29.35 
 
 12.76 
 
 29.29 
 
 12.89 
 
 32 
 
 33 
 
 30.38 
 
 12.89 
 
 30.32 
 
 13.03 
 
 30.26 
 
 IS.lo 
 
 30.21 
 
 13.29 
 
 33 
 
 34 
 
 31.30 
 
 13.28 
 
 31.24 
 
 13.42 
 
 31.18 
 
 13.56 
 
 31.12 
 
 13.69 
 
 34 
 
 35 
 
 32.22 
 
 13.68 
 
 32.16 
 
 13.82 
 
 32.10 
 
 13.96 
 
 32.04 
 
 14.10 
 
 35 
 
 36 
 
 33.14 
 
 14.07 
 
 33.08 
 
 14.21 
 
 33.01 
 
 14.35 
 
 32.95 
 
 14.50 
 
 36 
 
 37 
 
 34.06 
 
 14.46 
 
 34.00 
 
 14.61 
 
 33.93 
 
 14.75 
 
 33.87 
 
 14.90 
 
 37 
 
 38 
 
 34.98 
 
 14.85 
 
 34.91 
 
 15.00 
 
 34.85 
 
 15.15 
 
 34.78 
 
 15.30 
 
 38 
 
 39 
 
 35.90 
 
 15.24 
 
 35.83 
 
 15.39 
 
 35.77 
 
 15.55 
 
 35.70 
 
 15.71 
 
 39 
 
 40 
 
 36.82 
 
 15.63 
 
 36.75 
 
 15.79 
 
 36.68 
 
 15.95 
 
 36.61 
 
 16.11 
 
 40 
 
 41 
 
 37.74 
 
 16.02 
 
 37.67 
 
 16.18 
 
 37.60 
 
 16.35 
 
 37.53 
 
 16.51 
 
 41 
 
 42 
 
 38.66 
 
 16.41 
 
 38.59 
 
 16.58 
 
 38.52 
 
 16.75 
 
 38.44 
 
 16.92 
 
 42 
 
 43 
 
 39.58 
 
 16.80 
 
 39.51 
 
 16.97 
 
 39.43 
 
 17.15 
 
 39.36 
 
 17.32 
 
 43 
 
 44 
 
 40.50 
 
 17.19 
 
 40.43 
 
 17.37 
 
 40.35 
 
 17.54 
 
 40.27 
 
 17.72 
 
 44 
 
 45 
 
 41.42 
 
 17.58 
 
 41.35 
 
 17.76 
 
 41.27 
 
 17.94 
 
 41.19 
 
 18.12 
 
 45 
 
 46 
 
 42.34 
 
 17.97 
 
 42.26 
 
 18.16 
 
 42.18 
 
 18.34 
 
 42.10 
 
 18.53 
 
 46 
 
 47 
 
 43.26 
 
 18.36 
 
 43.18 
 
 18.55 
 
 43.10 
 
 18.74 
 
 43.02 
 
 18.93 
 
 47 
 
 48 
 
 44.18 
 
 18.76 
 
 44.10 
 
 18.95 
 
 44.02 
 
 19.14 
 
 43.93 
 
 19.33 
 
 48 
 
 49 
 
 45.10 
 
 19.15 
 
 45.02 
 
 19.34 
 
 44.94 
 
 19.54 
 
 44.85 
 
 19.73 
 
 49 
 
 50 46.03 
 
 19.54 
 
 45 . 94 
 
 19.74 
 
 45.85 
 
 19.94 
 
 45.77 
 
 20.14 
 
 50 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 i 
 
 g- 67 Deg. 
 
 66| Deg. 
 
 66 Deg. 
 
 66} Deg. 
 
 2 
 
TRAVERSE TABLE, 
 
 49 
 
 o 
 
 23 Deg. 
 
 23i Deg. 
 
 23 Deg. 
 
 23| Deg. 
 
 ? 
 
 3 
 a 
 
 CD 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 o 
 
 51 
 
 46.95 
 
 19.93 
 
 46.86 
 
 20. 13 
 
 46.77 
 
 20.34 
 
 46.68 
 
 20.54 
 
 51 
 
 52 
 
 47.87 
 
 20.32 
 
 47.78 
 
 20.53 
 
 47.69 
 
 20.73 
 
 47.60 
 
 20.94 
 
 52 
 
 53 
 
 48.79 
 
 20.71 
 
 48.70 
 
 20.92 
 
 48.60 
 
 21.13 
 
 48.51 
 
 21.35 
 
 53 
 
 54 
 
 49.71 
 
 21.10 
 
 49.61 
 
 21.32 
 
 49.52 
 
 21.53 
 
 49.43 
 
 21.75 
 
 54 
 
 55 
 
 50.63 
 
 21.49 
 
 50.53 
 
 21.71 
 
 50.44 
 
 21.93 
 
 50.34 
 
 22.15 
 
 55 
 
 56 
 
 51.55 
 
 21.88 
 
 51.45 
 
 22,11 
 
 51.36 
 
 22.33 
 
 51.26 
 
 22.55 
 
 56 
 
 57 
 
 52.47 
 
 22.27 
 
 52.37 
 
 22.50 
 
 52.27 
 
 22.73 
 
 52.17 
 
 22.96 
 
 57 
 
 58 
 
 53.39 
 
 22.66 
 
 53.29 
 
 22.90 
 
 53.19 
 
 23.13 
 
 53.09 
 
 23.36 
 
 58 
 
 59 
 
 54.31 
 
 23.05 
 
 54.21 
 
 23.29 
 
 54.11 
 
 23.53 
 
 54.00 
 
 23.76 
 
 59 
 
 60 
 
 55.23 
 
 23.44 
 
 55.13 
 
 23.68 
 
 55.02 
 
 23.92 
 
 54.92 
 
 24.16 
 
 60 
 
 61 
 
 56.15 
 
 23.83 
 
 56.05 
 
 24.08 
 
 55.94 
 
 24.32 
 
 55.83 
 
 24.57 
 
 6* 
 
 62 
 
 57.07 
 
 24.23 
 
 56.97 
 
 24.47 
 
 56.86 
 
 24.72 
 
 56.75 
 
 24.97 
 
 62 
 
 63 
 
 57.99 
 
 24.62 
 
 57.88 
 
 24.87 
 
 57.77 
 
 25.12 
 
 57.66 
 
 25.37 
 
 63 
 
 64 
 
 53.91 
 
 25.01 
 
 58.80 
 
 25.26 
 
 58.69 
 
 25.52 
 
 58.58 
 
 25.78 
 
 64 
 
 65 
 
 59.83 
 
 25.40 
 
 59.72 
 
 25.66 
 
 59.61 
 
 25.92 
 
 59.50 
 
 26.18 
 
 65 
 
 66 
 
 60.75 
 
 25 . 79 
 
 60.64 
 
 26.05 
 
 60.53 
 
 26.32 
 
 60.41 
 
 26.58 
 
 66 
 
 67 
 
 61.67 
 
 26.18 
 
 61.56 
 
 28.45 
 
 61.44 
 
 26.72 
 
 61.33 
 
 26.98 
 
 67, 
 
 68 
 
 62.59 
 
 26.57 
 
 62.48 
 
 26.84 
 
 62.36 
 
 27.11 
 
 62.24 
 
 27.39 
 
 68 
 
 69 
 
 63.51 
 
 26.96 
 
 63.40 
 
 27.24 
 
 63.28 
 
 27.51 
 
 63.16 
 
 27.79 
 
 69 
 
 70 
 
 64.44 
 
 27.35 
 
 64.32 
 
 27.63 
 
 64.19 
 
 27.91 
 
 64.07 
 
 28.19 
 
 70 
 
 71 
 
 65.36 
 
 27.74 
 
 65.23 
 
 28.03 
 
 65.11 
 
 28.31 
 
 64.99 
 
 28.59 
 
 71 
 
 72 
 
 66.28 
 
 28.13 
 
 66.15 
 
 28.42 
 
 66.03 
 
 28.71 
 
 65.90 
 
 29.00 
 
 72 
 
 73 
 
 67.20 
 
 28.52 
 
 67.07 
 
 28.82 
 
 66.95 
 
 29.11 
 
 66.82 
 
 29.40 
 
 73 
 
 74 
 
 68.12 
 
 28.91 
 
 67.99 
 
 29.21 
 
 67.86 
 
 29.51 
 
 67.73 
 
 29.80 
 
 74 
 
 75 
 
 69.04 
 
 29.30 
 
 68.91 
 
 29.61 
 
 68.78 
 
 29.91 
 
 68.65 
 
 30.21 
 
 75 
 
 76 
 
 69.96 
 
 29.70 
 
 69.83 
 
 30.00 
 
 69.70 
 
 30.30 
 
 69.56 
 
 30.61 
 
 76 
 
 77 
 
 70.88 
 
 30.09 
 
 70.75 
 
 30.40 
 
 70.61 
 
 30.70 
 
 70.48 
 
 31.01 
 
 77 
 
 78 
 
 71.80 
 
 30.48 
 
 71.67 
 
 30.79 
 
 71.53 
 
 31.10 
 
 71.39 
 
 31.41 
 
 78 
 
 79 
 
 72.72 
 
 30.87 
 
 72.58 
 
 31.18 
 
 72.45 
 
 31.50 
 
 72.31 
 
 31.82 
 
 79 
 
 80 
 
 73.64 
 
 31.26 
 
 73.50 
 
 31.58 
 
 73.36 
 
 31.90 
 
 73.22 
 
 32.22 
 
 80 
 
 81 
 
 74.56 
 
 31.65 
 
 74.42 
 
 31.97 
 
 74.28 
 
 32.30 
 
 74.14 
 
 32.62 
 
 81 
 
 82 
 
 75.48 
 
 32.04 
 
 75.34 
 
 32.37 
 
 75.20 
 
 32.70 
 
 75.06 
 
 33.03 
 
 82 
 
 83 
 
 76.40 
 
 32.43 
 
 76.26 
 
 32.76 
 
 76.12 
 
 33.10 
 
 75.97 
 
 33.43 
 
 83 
 
 84 
 
 77.32 
 
 32.82 
 
 77.18 
 
 33.16 
 
 77.03 
 
 33.49 
 
 76.89 
 
 33.83 
 
 84 
 
 85 
 
 78.24 
 
 33.21 
 
 78.10 
 
 33.55 
 
 77.95 
 
 33.89 
 
 77.80 
 
 34.23 
 
 85 
 
 86 
 
 79.16 
 
 33.60 
 
 79.02 
 
 33.95 
 
 78.87 
 
 34.29 
 
 78.72 
 
 34.64 
 
 86 
 
 87 
 
 80.08 
 
 33.99 
 
 79.93 
 
 34.34 
 
 79.78 
 
 34.69 
 
 79.63 
 
 35.04 
 
 87 
 
 88 
 
 8J.OO 
 
 34.38 
 
 80.85 
 
 34.74 
 
 80.70 
 
 35.09 
 
 80.55 
 
 35.44 
 
 88 
 
 89 
 
 81.92 
 
 34.78 
 
 81.77 
 
 35.13 
 
 81.62 
 
 35.49 
 
 81.46 
 
 35.84 
 
 89 
 
 90 
 
 82.85 
 
 35.17 
 
 82.69 
 
 35.53 
 
 82.54 
 
 35.89 
 
 82.38 
 
 36.25 
 
 90 
 
 91 
 
 83.77 
 
 35.56 
 
 83.61 
 
 35.92 
 
 83.45 
 
 36 . 29 
 
 83.29 
 
 36.65 
 
 91 
 
 92 
 
 84.69 
 
 35.95 
 
 84.53 
 
 36.32 
 
 84.37 
 
 36.68 
 
 84.21 
 
 37.05 
 
 92 
 
 93 
 
 85.61 
 
 36.34 
 
 85.45 
 
 36.71 
 
 85.29 
 
 37.08 
 
 85.12 
 
 37.46 
 
 93 
 
 94 
 
 86.53 
 
 36.73 
 
 86.37 
 
 37.11 
 
 86.20 
 
 37.48 
 
 86.04 
 
 37.86 
 
 94 
 
 95 
 
 87.45 
 
 37.12 
 
 87.29 
 
 37.50 
 
 87.12 
 
 37.88 
 
 86.95 
 
 38.26 
 
 95 
 
 96 
 
 88.37 
 
 37.51 
 
 88.20 
 
 37.90 
 
 88.04 
 
 38.28 
 
 87.87 
 
 38.66 
 
 96 
 
 97 
 
 89.29 
 
 37.90 
 
 89.12 
 
 38.29 
 
 88.95 
 
 38.68 
 
 88.79 
 
 39.07 
 
 97 
 
 98 
 
 90.21 
 
 38.29 
 
 90.04 
 
 38.68 
 
 89.87 
 
 39.08 
 
 89.70 
 
 39.47 
 
 98 
 
 99 
 
 91.13 
 
 38.68 
 
 90.96 
 
 39.08 
 
 90.79 
 
 39.48 
 
 90.62 
 
 39.87 
 
 99 
 
 100 
 
 92.05 
 
 39.07 
 
 91.88 
 
 39.47 
 
 91.71 
 
 39.87 
 
 91.53 
 
 40.27 
 
 100 
 
 | 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 I 
 
 5 
 
 
 
 
 
 1 
 
 S 
 
 67 Deg. 
 
 66| Deg. 
 
 661 Deg. 
 
 66J Deg. 
 
 s 
 
60 
 
 TRAVERSE TABLE 
 
 o 
 
 24 Deg. 
 
 24J Deg. 
 
 2 4iDeg. 
 
 24$ Dg. 
 
 
 
 ? 
 
 
 
 
 
 r 
 
 i 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 j 
 
 i 
 
 0.91 
 
 0.41 
 
 0.91 
 
 0.41 
 
 0.91 
 
 0.41 
 
 0.91 
 
 0.42 
 
 i 
 
 2 
 
 1.83 
 
 0.81 
 
 1.82 
 
 0.82 
 
 1.82 
 
 0.83 
 
 1.82 
 
 0.84 
 
 2 
 
 3 
 
 2.74 
 
 1.22 
 
 2.74 
 
 1.23 
 
 2.73 
 
 1.24 
 
 2.72 
 
 1.26 
 
 3 
 
 4 
 
 3.65 
 
 1.63 
 
 3.65 
 
 1.64 
 
 3.64 
 
 1.66 
 
 3.63 
 
 1.67 
 
 4 
 
 5 
 
 4.67 
 
 2.03 
 
 4.56 
 
 2.05 
 
 4.55 
 
 2.07 
 
 4.54 
 
 2.09 
 
 5 
 
 6 
 
 5.48 
 
 2.44 
 
 5.47 
 
 2.46 
 
 5.46 
 
 2.49 
 
 5.45 
 
 2.51 
 
 6 
 
 7 
 
 6.39 
 
 2.85 
 
 6.38 
 
 2.87 
 
 6.37 
 
 2.90 
 
 6.36 
 
 2.93J 7 
 
 8 
 
 7.31 
 
 3.25 
 
 7.29 
 
 3.29 
 
 7.28 
 
 3.32 
 
 7.27 
 
 3.35 
 
 8 
 
 9 
 
 8.22 
 
 3.66 
 
 8.21 
 
 3.70 
 
 8.19 
 
 3.73 
 
 8.17 
 
 o.77 
 
 9 
 
 10 
 
 9.14 
 
 4.07 
 
 9.12 
 
 4.11 
 
 9.10 
 
 4.15 
 
 9.08 
 
 4.19! 10 
 
 11 
 
 10.05 
 
 4.47 
 
 10.03 
 
 4.52 
 
 10.01 
 
 4.56 
 
 9.99 
 
 4.61 i 11 
 
 12 
 
 10.96 
 
 4.88 
 
 10.94 
 
 4.93 
 
 10.92 
 
 4.98 
 
 10.90 
 
 5.02! 12 
 
 13 
 
 11.88 
 
 5.29 
 
 11.85 
 
 5.34 
 
 11.83 
 
 5.39 
 
 11.81 
 
 5.44 
 
 13 
 
 14 
 
 12.79 
 
 5.69 
 
 12.76 
 
 5.75 
 
 12.74 
 
 5.81 
 
 12.71 
 
 5.86 
 
 14 
 
 15 
 
 13.70 
 
 6.10 
 
 13.68 
 
 6.16 
 
 13.65 
 
 6.22 
 
 13.62 
 
 6.28 
 
 15 
 
 16 
 
 14.62 
 
 ft. 51 
 
 14.59 
 
 6.57 
 
 14.56 
 
 6.64 
 
 14.53 
 
 6.70 
 
 16 
 
 17 
 
 15.53 
 
 6.S2 
 
 15.50 
 
 6.98 
 
 15.47 
 
 7.05 
 
 15.44 
 
 7.12 
 
 17 
 
 18 
 
 16.44 
 
 7.32 
 
 16.41 
 
 7.39 
 
 16.38 
 
 7.46 
 
 16.35 
 
 7.54 
 
 18 
 
 19 
 
 17.36 
 
 7.73 
 
 17.32 
 
 7.80 
 
 17.29 
 
 7.88 
 
 17.25 
 
 7.95 
 
 19 
 
 20 
 
 18.27 
 
 8.13 
 
 18.24 
 
 8.21 
 
 18.20 
 
 8.29 
 
 18.16 
 
 8.37 
 
 20 
 
 21 
 
 19.18 
 
 8.54 
 
 19.15 
 
 8.63 
 
 19.11 
 
 8.71 
 
 19.07 
 
 8.79 
 
 21 
 
 22 
 
 20.10 
 
 8.95 
 
 20.06 
 
 9.04 
 
 20.02 
 
 9.12 
 
 19.98 
 
 9.21 
 
 22 
 
 23 
 
 21.01 
 
 9.35 
 
 20.97 
 
 9.45 
 
 20.93 
 
 9.54 
 
 20.89 
 
 9.63 
 
 23 
 
 24 
 
 21.93 
 
 9.76 
 
 21.88 
 
 9.86 
 
 21.84 
 
 9.95 
 
 21.80 
 
 10.05 
 
 24 
 
 25 
 
 22.84 
 
 10.17 
 
 22.79 
 
 10.27 
 
 22.75 
 
 10.37 
 
 22.70 
 
 10.47 
 
 25 
 
 26 
 
 23.75 
 
 10.58 
 
 23.71 
 
 10.68 
 
 23.66 
 
 10.78 
 
 23.61 
 
 10.89 
 
 26 
 
 27 
 
 24.67 
 
 10.98 
 
 24.62 
 
 11.09 
 
 24.57 
 
 11.20 
 
 24.52 
 
 11.30 
 
 27 
 
 28 
 
 25.58 
 
 11.39 
 
 25.53 
 
 11.50 
 
 25.48 
 
 11.61 
 
 25.43 
 
 11.72 
 
 28 
 
 29 
 
 26.49 
 
 11.80 
 
 26.44 
 
 11.91 
 
 26.39 
 
 12.03 
 
 26.34 
 
 12.14 
 
 29 
 
 30 
 
 27.41 
 
 12.20 
 
 27.35 
 
 12.32 
 
 27.30 
 
 12.44 
 
 27.24 
 
 12.56 
 
 30 
 
 31 
 
 28,32 
 
 12.61 
 
 28.26 
 
 12.73 
 
 28.21 
 
 12.86 
 
 28.15 
 
 12.98 
 
 31 
 
 32 
 
 29.23 
 
 13.02 
 
 29.18 
 
 13.14 
 
 29.12 
 
 13.27 
 
 29.06 
 
 13.40 
 
 32 
 
 33 
 
 30.15 
 
 13.42 
 
 30.09 
 
 13.55 
 
 30.03 
 
 13.68 
 
 29.97 
 
 13.82 
 
 33 
 
 34 
 
 31.06 
 
 13.83 
 
 31.00 
 
 13.96 
 
 30.94 
 
 14.10 
 
 30.88 
 
 14.23 
 
 34 
 
 35 
 
 31.97 
 
 14.24 
 
 31.91 
 
 14. 38 
 
 31.85 
 
 14:51 
 
 31.78 
 
 14.65 
 
 35 
 
 36 
 
 32.89 
 
 14.64 
 
 32.82 
 
 14:79 
 
 32.76 
 
 14.93 
 
 32.69 
 
 15.07 
 
 36 
 
 37 
 
 33.80 
 
 15.05 
 
 33.74 
 
 15.20 
 
 33.67 
 
 15.34 
 
 33.60 
 
 15.49 
 
 37 
 
 38 
 
 34.71 
 
 15.46 
 
 34.65 
 
 15.61 
 
 34.58 
 
 15.76 
 
 34.51 
 
 15.91 
 
 38 
 
 39 
 
 35.63 
 
 15.86 
 
 35.56 
 
 16.02 
 
 35.49 
 
 16.17 
 
 35.42 
 
 18.33 
 
 39 
 
 40 
 
 36.54 
 
 16.27 
 
 36.47 
 
 16.43 
 
 36.40 
 
 16.59 
 
 36.33 
 
 16.75 
 
 40 
 
 41 
 
 37.46 
 
 16.68 
 
 37.38 
 
 16.84 
 
 37.31 
 
 17.00 
 
 37.23 
 
 17,16 
 
 41 
 
 42 
 
 38.37 
 
 17.08 
 
 38.29 
 
 17.25 
 
 38.22 
 
 17.42 
 
 38.14 
 
 17.58 
 
 42 
 
 43 
 
 39.28 
 
 17.49 
 
 39.21 
 
 17.60 
 
 39.13 
 
 17.83 
 
 39.05 
 
 18.00 
 
 43 
 
 44 
 
 40.20 
 
 17.90 
 
 40.12 
 
 18.07 
 
 40.04 
 
 18.25 
 
 39.96 
 
 18.42 
 
 44 
 
 45 
 
 41.11 
 
 18.30 
 
 41.03 
 
 18.48 
 
 40.95 
 
 18.66 
 
 40.87 
 
 18.84 
 
 45 
 
 46 
 
 42.02 
 
 18.71 
 
 41.94 
 
 18.89 
 
 41.86 
 
 19^.08 
 
 41.77 
 
 19.26 
 
 46 
 
 47 
 
 42.94 
 
 19.12 
 
 42.85 
 
 19.30 
 
 42.77 
 
 19^.49 
 
 42.68 
 
 19.68 
 
 47 
 
 48 
 
 43.85 
 
 19.52 
 
 43.76 
 
 19.71 
 
 43.68 
 
 19.91 
 
 43.59 
 
 20.10 
 
 48 
 
 49 
 
 44.76 
 
 19.93 
 
 44.68 
 
 20.13 
 
 44.59 
 
 20.32 
 
 44.50 
 
 20.51 
 
 49 
 
 50 
 
 45.68 
 
 20.34 
 
 45.59 
 
 20.54 
 
 45.50 
 
 20.73 
 
 45.41 
 
 20.93 
 
 50 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 cd 
 
 
 
 
 
 1 
 
 s 
 
 66 Deg. 
 
 6'5| Deg. 
 
 65 1 Deg. 
 
 65i Deg. 
 
 Q 
 
 
TRAVERSE TABLE. 
 
 3 
 
 5i* 
 
 a 
 o 
 
 ~51 
 52 
 53 
 54 
 55 
 56 
 57 
 58 
 59 
 60 
 
 "61 
 
 62 
 63 
 64 
 65 
 66 
 67 
 68 
 69 
 70 
 
 24 Deg. 
 
 24} Deg. 
 
 24i Deg. 
 
 24| Deg. 
 
 O 
 
 5* 
 
 p 
 p 
 a 
 ? 
 ~5~I 
 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 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 46. 53 
 47.50 
 48.42 
 49.33 
 50.24 
 51.16 
 52 . 07 
 52.99 
 53.90 
 54.81 
 
 20.74 
 21.15 
 21.56 
 21.96 
 22.37 
 22.78 
 23.18 
 23.59 
 24.00 
 24.40 
 
 46.50 
 47.41 
 48.32 
 49.24 
 50.15 
 51.06 
 51.97 
 52.88 
 53.79 
 54.71 
 
 20.95 
 21.36 
 21.77 
 22.18 
 22.59 
 23.00 
 23.41 
 23.82 
 24.23 
 24.64 
 
 46.41 
 47.32 
 
 48.23 
 49.14 
 50.05 
 50.96 
 51.87 
 52 . 78 
 53.69 
 54.60 
 
 21.15 
 21.56 
 21.98 
 22.39 
 22.81 
 23.22 
 23.64 
 24.05 
 24.47 
 24.88 
 
 46.32 
 47.22 
 48.13 
 49.04 
 49.95 
 50.86 
 51.76 
 52.67 
 53.58 
 64.49 
 
 21.35 
 21.77 
 22.19 
 22.61 
 23.03 
 23.44 
 23.86 
 24.28 
 24.70 
 25.12 
 
 55 . 73 
 56.64 
 57.55 
 58.47 
 59.38 
 60.29 
 61.21 
 62.12 
 63.03 
 63.95 
 
 24.81 
 25.22 
 25.62 
 26.03 
 26.44 
 26.84 
 27.25 
 27.66 
 28.06 
 28.47 
 
 55.62 
 56.53 
 57.44 
 58.35 
 59.26 
 60.18 
 61.09 
 62.00 
 62.91 
 63.82 
 
 25.05 
 25.46 
 
 25.88 
 26.29 
 26.70 
 27.11 
 27:52 
 27.93 
 28.34 
 28.75 
 
 55.51 
 56.42 
 57.33 
 58 . 24 
 59.15 
 60.06 
 60.97 
 61.88 
 62.79 
 63.70 
 
 25.30 
 25.71 
 26.13 
 26 /54 
 26.96 
 27.37 
 27.78 
 28.20 
 28.61 
 29.03 
 
 55.40 
 56.30 
 57.21 
 58.12 
 59.03 
 59. S4 
 60.85 
 61.75 
 62.66 
 63.57 
 ~64.48 
 65.39 
 66.29 
 67.20 
 68.11 
 69.02 
 69.93 
 70.84 
 71.74 
 72.65 
 
 25.54 
 25.96 
 26.38 
 26 . 79 
 27.21 
 27.63 
 28.05 
 28.47 
 28.89 
 29.31 
 
 71 
 72 
 73 
 74 
 75 
 76 
 77 
 78 
 79 
 80 
 
 64.86 
 65 . 78 
 66.69 
 67.60 
 68.52 
 69.43 
 70.34 
 71.26 
 72.17 
 73.08 
 
 28.88 
 29.28 
 29.69 
 30.10 
 30.51 
 30.91 
 31.32 
 31.73 
 32.13 
 32.54 
 
 64.74 
 65.65 
 66.56 
 67.47 
 68.38 
 69.29 
 70.21 
 71.12 
 72.03 
 72.94 
 
 29.16 
 29.57 
 29.98 
 30.39 
 30.80 
 31.21 
 31.63 
 32.04 
 32.45 
 32.86 
 
 64.61 
 65.52 
 66.43 
 67.34 
 
 68.25 
 69.16 
 70.07 
 70.98 
 71.89 
 72.80 
 
 29.44 
 29.86 
 30.27 
 30.69 
 31.10 
 31.52 
 31.93 
 32.35 
 32.76 
 33.18 
 
 29.72 
 30.14 
 30.56 
 30.98 
 31.40 
 31.82 
 32.24 
 32.66 
 33.07 
 33.49 
 
 81 
 82 
 83 
 84 
 85 
 88 
 87 
 88 
 89 
 90 
 
 91 
 92 
 93 
 94 
 95 
 96 
 97 
 98 
 99 
 100 
 
 74.00 
 74.91 
 75.82 
 76 . 74 
 77.65 
 78.56 
 79.48 
 80.39 
 81.31 
 82.22 
 
 32.95 
 33.35 
 33.76 
 34.17 
 34.57 
 34.98 
 35.39 
 35.79 
 36.20 
 36.61 
 
 73.85 
 74.76 
 75.68 
 76.59 
 77.50 
 78.41 
 79.32 
 80.24 
 81.15 
 82.06 
 
 33.27 
 33 . 68 
 34.09 
 34.50 
 34.91 
 35.32 
 35.73 
 36.14 
 36.55 
 36.96 
 
 73.71 
 
 74.62 
 75.53 
 76.44 
 77.35 
 78 26 
 79.17 
 80.08 
 80.99 
 81.90 
 
 33.59 
 34.00 
 34.42 
 34.83 
 35.25 
 35,66 
 36.08 
 36.49 
 36.91 
 37.32 
 
 73.56 
 74.47 
 75.38 
 76.28 
 77.19 
 78.10 
 79.01 
 79.92 
 80.82 
 81.73 
 
 33.91 
 34.33 
 34.75 
 35.17 
 35.59 
 36.00 
 36.42 
 36.84 
 37.26 
 37.68 
 
 83.13 
 84.05 
 84.96 
 85.87 
 86.79 
 87.70 
 88.61 
 89.53 
 90.44 
 91.35 
 
 37.01 
 37.42 
 37.83 
 38 .23 
 38.64 
 39.05 
 39.45 
 39.86 
 40.27 
 40.67 
 
 82.97 
 83.88 
 84.79 
 85.71 
 86.62 
 87.53 
 88.44 
 89.35 
 90.26 
 91.18 
 
 37.38 
 37.79 
 38.20 
 38.61 
 39.02 
 39.43 
 39,84 
 40.25 
 40.66 
 41.07 
 
 82.81 
 83.72 
 84.63 
 85.54 
 86.45 
 87.36 
 88.27 
 89.18 
 90.09 
 91.00 
 
 37.74 
 38.15 
 38.57 
 38.98 
 39.40 
 39.81 
 40.23 
 40.64 
 41.05 
 41.47 
 
 82.64 
 83.55 
 84.46 
 85.37 
 86.27 
 87.18 
 88.09 
 89.00 
 89.91 
 90.81 
 
 33.10 
 38.52 
 38.94 
 39.35 
 39.77 
 40.19 
 40-. 61 
 41.03 
 41.45 
 41.87 
 
 b 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Q 
 
 66 Deg. 
 
 65| Deg, 
 
 65^ Deg. 
 
 654 Deg. 
 
 i-y* 
 
TRAVERSE 
 
 I 
 
 25 Deg. 
 
 25* Deg. 
 
 25i Deg. 
 
 25| Deg. 
 
 gf 
 
 i 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 i 
 
 *i 
 
 0.91 
 
 0.42 
 
 O.SO 
 
 0.43 
 
 0.90 
 
 0.43 
 
 0.90 
 
 0.43 
 
 1 
 
 2 
 
 1.81 
 
 0.85 
 
 1.81 
 
 0.85 
 
 1.81 
 
 0.86 
 
 1.80 
 
 0.87 
 
 2 
 
 3 
 
 2.72 
 
 1.27 
 
 2.71 
 
 1.28 
 
 2.71 
 
 1.29 
 
 2.70 
 
 1.30 
 
 3 
 
 4 
 
 3.63 
 
 1.69 
 
 3.62 
 
 1.71 
 
 3,61 
 
 1.72 
 
 3.60 
 
 1.74 
 
 4 
 
 5 
 
 4.53 
 
 2.11 
 
 4.52 
 
 2. 13 
 
 4.51 
 
 2.15 
 
 4.50 
 
 2.17 
 
 5 
 
 6 
 
 5.44 
 
 2.54 
 
 5.43 
 
 2.56 
 
 5.42 
 
 2.58 
 
 5.40 
 
 2,61 
 
 6 
 
 7 
 
 6.34 
 
 2.96 
 
 6.33 
 
 2.99 
 
 6.32 
 
 3.01 
 
 6.30 
 
 3.04 
 
 7 
 
 8 
 
 7.25 
 
 3.38 
 
 7.24 
 
 3.41 
 
 7.22 
 
 3.44 
 
 7.21 
 
 3.48 
 
 8 
 
 9 
 
 8.16 
 
 3.80 
 
 8.14 
 
 3.84 
 
 8.12 
 
 3.87 
 
 8.11 
 
 3.91 
 
 9 
 
 10 
 
 9.06 
 
 4.23 
 
 9.04 
 
 4.27 
 
 9.03 
 
 4.31 
 
 9.01 
 
 4.34 
 
 1Q 
 
 11 
 
 9.97 
 
 4.65 
 
 9.95 
 
 4.69 
 
 9.93 
 
 4.74 
 
 9.91 
 
 4.78 
 
 11 
 
 12 
 
 10.88 
 
 5.07 
 
 10.85 
 
 5,12 
 
 10.83 
 
 5.17 
 
 10,81 
 
 5.21 
 
 12 
 
 13 
 
 11.78 
 
 5.49 
 
 11.76 
 
 5.55 
 
 11.73 
 
 5.60 
 
 11.71 
 
 5.65 
 
 13 
 
 14 
 
 12.69 
 
 5.92 
 
 12.66 
 
 5.97 
 
 12.64 
 
 6.03 
 
 12.61 
 
 6.08 
 
 14 
 
 15 
 
 13.59 
 
 6.34 
 
 13.57 
 
 6.40 
 
 13.54 
 
 6.46 
 
 13.51 
 
 6.52 
 
 15 
 
 16 
 
 14.50 
 
 6.76 
 
 14.47 
 
 6.83 
 
 14.44 
 
 6.89 
 
 14.41 
 
 6.95 
 
 16 
 
 17 
 
 15.41 
 
 7.18 
 
 15.38 
 
 7.25 
 
 15.34 
 
 7.32 
 
 15.31 
 
 7.39 
 
 17 
 
 18 
 
 16.31 
 
 7.61 
 
 16.28 
 
 7.68 
 
 16.25 
 
 7.75 
 
 16.21 
 
 7.82 
 
 18 
 
 19 
 
 17.22 
 
 8.03 
 
 17.18 
 
 8.10 
 
 17.15 
 
 8.18 
 
 17.11 
 
 8.25 
 
 19 
 
 20 
 
 18.13 
 
 8.45 
 
 18.09 
 
 8.53 
 
 18.05 
 
 8.61 
 
 18.01 
 
 8.69 
 
 20 
 
 21 
 
 19.03 
 
 8.87 
 
 18.99 
 
 8.96 
 
 18.95 
 
 9.04 
 
 18.91 
 
 9.12 
 
 21 
 
 22 
 
 19.94 
 
 9.30 
 
 19.90 
 
 9.38 
 
 10.86 
 
 9.47 
 
 19.82 
 
 9.56 
 
 22 
 
 23 
 
 20.85 
 
 9.72 
 
 20.80 
 
 9.81 
 
 20.76 
 
 9.90 
 
 20.72 
 
 9.99 
 
 23 
 
 24 
 
 21.75 
 
 10.14 
 
 21.71 
 
 10.24 
 
 21.66 
 
 10.33 
 
 21.62 
 
 10.43 
 
 24 
 
 25 
 
 22.66 
 
 10.57 
 
 22.61 
 
 10.66 
 
 22.56 
 
 10.76 
 
 22.52 
 
 10.86 
 
 25 
 
 26 
 
 23.56 
 
 10.99 
 
 23.52 
 
 11.09 
 
 23.47 
 
 11.19 
 
 23.42 
 
 11.30 
 
 26 
 
 27 
 
 24.47 
 
 11.41 
 
 24.42 
 
 11.52 
 
 24.37 
 
 11.62 
 
 24.32 
 
 11.73 
 
 27 
 
 28 
 
 25.38 
 
 11.83 
 
 25,32 
 
 11.94 
 
 25.27 
 
 12.05 
 
 25.22 
 
 12.16 
 
 28 
 
 29 
 
 26.28 
 
 12.26 
 
 26.23 
 
 12.37 
 
 26.17 
 
 12.48 
 
 26.12 
 
 12.60 
 
 29 
 
 30 
 
 27.19 
 
 12.68 
 
 27.13 
 
 12.80 
 
 27.08 
 
 12.92 
 
 27.02 
 
 13.03 
 
 30 
 
 31 
 
 28.10 
 
 13.10 
 
 28.04 
 
 13.22 
 
 27.98 
 
 13.35 
 
 27.92 
 
 13.47 
 
 31 
 
 32 
 
 29.00 
 
 13.52 
 
 28.94 
 
 13.65 
 
 28.88 
 
 13.78 
 
 28.82 
 
 13.90 
 
 32 
 
 33 
 
 29 9J 
 
 '3.95 
 
 29.85 
 
 14.08 
 
 29.79 
 
 14.21 
 
 29.72 
 
 14.34 
 
 33 
 
 34 
 
 30.31 
 
 .4.37 
 
 30.75 
 
 14.50 
 
 30.69 
 
 14.64 
 
 30.62 
 
 14.77 
 
 34 
 
 35 
 
 31.72 
 
 14.79 
 
 31.66 
 
 14.93 
 
 31.59 
 
 15.07 
 
 31.52 
 
 15.21 
 
 35 
 
 36 
 
 32.63 
 
 15.21 
 
 32.56 
 
 15.36 
 
 32.49 
 
 15.50 
 
 32.43 
 
 15.64 
 
 36 
 
 37 
 
 33.53 
 
 15.64 
 
 33.46 
 
 15.78 
 
 33.40 
 
 15.93 
 
 33.33 
 
 16.07 
 
 37 
 
 38 
 
 34.44 
 
 16.06 
 
 34.37 
 
 16.21 
 
 34.30 
 
 16.36 
 
 34.23 
 
 16.51 
 
 38 
 
 39 
 
 35.35 
 
 16.48 
 
 35.27 
 
 16.64 
 
 35.20 
 
 16.79 
 
 35.13 
 
 16.94 
 
 39 
 
 40 
 
 36.25 
 
 16.90 
 
 36.18 
 
 17,06 
 
 36.10 
 
 17.22 
 
 36.03 
 
 17.38 
 
 40 
 
 41 
 
 37.16 
 
 17.33 
 
 37.09 
 
 17.49 
 
 37.01 
 
 17.65 
 
 36,93 
 
 17.81 
 
 41 
 
 42 
 
 38.06 
 
 17.75 
 
 37,99 
 
 17.92 
 
 37.91 
 
 18.08 
 
 37,83 
 
 18.25 
 
 42 
 
 43 
 
 38.97 
 
 18.17 
 
 38.89 
 
 18.34 
 
 38.81 
 
 18.51 
 
 38.73 
 
 18,68 
 
 43 
 
 44 
 
 39.88 
 
 18.60 
 
 39.80 
 
 18.77 
 
 39.71 
 
 18.94 
 
 39.63 
 
 19.12 
 
 44 
 
 45 
 
 40.78 
 
 19.02 
 
 40.70 
 
 19.20 
 
 40.62 
 
 19.37 
 
 40.53 
 
 19.55 
 
 45 
 
 46 
 
 41.69 
 
 19.44 
 
 41.60 
 
 19.62 
 
 41.52 
 
 19.80 
 
 41.43 
 
 19.98 
 
 46 
 
 47 
 
 42.60 
 
 19.86 
 
 42.51 
 
 20.05 
 
 42.42 
 
 20.23 
 
 42.33 
 
 20.42 
 
 47 
 
 48 
 
 43.50 
 
 20.29 
 
 43.41 
 
 20.48 
 
 43.32 
 
 20.66 
 
 43.23 
 
 20.85 
 
 48 
 
 49 
 
 44.41 
 
 20.71 
 
 44.32 
 
 20.90 
 
 44.23 
 
 21.10 
 
 44.13 
 
 21.29 
 
 49 
 
 50 
 
 45.32 
 
 21.13 
 
 45.22 
 
 21.33 
 
 45.13 
 
 21.53 
 
 45.03 
 
 21.72 
 
 50 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 I 
 
 1 
 5 
 
 65 Deg. 
 
 64| Deg. 
 
 64i Deg. 
 
 64* Deg. 
 
 P 
 
TRX 
 
 ABLE. 
 
 63 
 
 g 
 
 25 Deg. 
 
 254 Deg. 
 
 25i Deg. 
 
 25| Deg. 
 
 2- 
 
 1 
 
 
 
 
 
 r* 
 
 s 
 n 
 
 CO 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 i 
 
 51 
 
 46.22 
 
 21.55 
 
 46.13 
 
 21.75 
 
 146.03 
 
 21.96 
 
 45.94 
 
 22.16 
 
 51 
 
 52 
 
 47.13 
 
 21.98 
 
 47.03 
 
 22.18 
 
 46 . 93 
 
 22.39 
 
 46.84 
 
 22.59 
 
 52 
 
 53 
 
 48.03 
 
 22.40 
 
 47.94 
 
 22.61 
 
 47.84 
 
 22.82 
 
 47 ..74 
 
 23.03 
 
 53 
 
 54 
 
 48.94 
 
 22.82 
 
 48.84 
 
 23.03 
 
 48.74 
 
 23.25 
 
 48.64 
 
 23.46 
 
 54 
 
 55 
 
 49.85 
 
 23.24 
 
 49.74 
 
 23.46 
 
 49.64 
 
 23.68 
 
 49,54 
 
 23.89 
 
 55 
 
 56 
 
 50.75 
 
 23.67 
 
 50.65 
 
 23.89 
 
 50.54 
 
 24.11 
 
 50,44 
 
 24.33 
 
 56 
 
 57 
 
 51.66 
 
 24,09 
 
 51.55 
 
 24.31 
 
 51.45 
 
 24.54 
 
 51.34 
 
 24.76 
 
 57 
 
 58 
 
 52.57 
 
 24.51 
 
 52.46 
 
 24.74 
 
 52.35 
 
 24.97 
 
 52,24 
 
 25.20 
 
 58 
 
 59 
 
 53.47 
 
 24.93 
 
 53.36 
 
 25.17 
 
 53.25 
 
 25.40 
 
 53.14 
 
 25.63 
 
 59 
 
 60 
 
 54.38 
 
 25.36 
 
 54.27 
 
 25.59 
 
 54.16 
 
 25.83 
 
 54.04 
 
 26.07 
 
 60 
 
 61 
 
 55.28 
 
 25.78 
 
 55.17 
 
 26.02 
 
 55.06 
 
 26.26 
 
 54.94 
 
 26.50 
 
 61 
 
 62 
 
 56.19 
 
 26.20 
 
 56.08 
 
 26.45 
 
 55.96 
 
 26.69 
 
 55.84 
 
 26.94 
 
 62 
 
 63 
 
 57.10 
 
 26.62 
 
 56 . 98 
 
 26.87 
 
 56.86 
 
 .27.12 
 
 56,74 
 
 27.37 
 
 63 
 
 64 
 
 58.00 
 
 27.05 
 
 57.89 
 
 27.30 
 
 57.77 
 
 27.55 
 
 57.64 
 
 27.80 
 
 64 
 
 65 
 
 58.91 
 
 27.47 
 
 58.79 
 
 27.73 
 
 58.67 
 
 27.98 
 
 58.55 
 
 28.24 
 
 65 
 
 66 
 
 59.82 
 
 27.89 
 
 59.69 
 
 28.15 
 
 59.57 
 
 28.41 
 
 59.45 
 
 28.67 
 
 66 
 
 67 
 
 60 . 72 
 
 28.32 
 
 60.60 
 
 28.58 
 
 60.47 
 
 28.84 
 
 60.35 
 
 29.11 
 
 67 
 
 68 
 
 61.63 
 
 28.74 
 
 61.50 
 
 29.01 
 
 61.38 
 
 29.27 
 
 61.25 
 
 29.54 
 
 68 
 
 69 
 
 62.54 
 
 29.16 
 
 62.41 
 
 29.43 
 
 62.28 
 
 29.71 
 
 62.15 
 
 29.98 
 
 69 
 
 70 
 
 63.44 
 
 29.58 
 
 63.31 
 
 29.86 
 
 63.18 
 
 30.14 
 
 63.05 
 
 30.41 
 
 70 
 
 71 
 
 64.35 
 
 30.01 
 
 64.22 
 
 30.29 
 
 64.08 
 
 30.57 
 
 63.95 
 
 30.85 
 
 71 
 
 72 
 
 65.25 
 
 30.43 
 
 65.12 
 
 30.71 
 
 64.99 
 
 31.00 
 
 64.85 
 
 31.28 
 
 72 
 
 73 
 
 66.16 
 
 30.85 
 
 66.03 
 
 31.14 
 
 65.89 
 
 31.43 
 
 65 . 75 
 
 31.71 
 
 73 
 
 74 
 
 67.07 
 
 31.27 
 
 66.93 
 
 31.57 
 
 66.79 
 
 31.86 
 
 66.65 
 
 32.15 
 
 74 
 
 75 
 
 67.97 
 
 31.70 
 
 67.83 
 
 31.99 
 
 67.69 
 
 32.29 
 
 67.55 
 
 32.58 
 
 75 
 
 76 
 
 68.88 
 
 32.12 
 
 68.74 
 
 32.42 
 
 68.60 
 
 32.72 
 
 68.45 
 
 33.02 
 
 76 
 
 77 
 
 69.79 
 
 32.54 
 
 69.64 
 
 32.85 
 
 69.50 
 
 33.15 
 
 69.35 
 
 33.45 
 
 77 
 
 78 
 
 70.69 
 
 32.96 
 
 70.55 
 
 33.27 
 
 70.40 
 
 33.58 
 
 70.25 
 
 33.89 
 
 78 
 
 79 
 
 71.60 
 
 33.39 
 
 71.45 
 
 33.70 
 
 71.30 
 
 34.01 
 
 71.16 
 
 34.32 
 
 79 
 
 80 
 
 72.50 
 
 33.81 
 
 72.36 
 
 34.13 
 
 72.21 
 
 34.44 
 
 72 06 
 
 34.76 
 
 80 
 
 81 
 
 73.41 
 
 34.23 
 
 73.26 
 
 34.55 
 
 73.11 
 
 34.87 
 
 72.96 
 
 35.19 
 
 81 
 
 82 
 
 74.32 
 
 34 . 65 
 
 74.17 
 
 34.98 
 
 74.01 
 
 35.30 
 
 73.86 
 
 35.62 
 
 82 
 
 83 
 
 75.22 
 
 35.08 
 
 75.07 
 
 35.41 
 
 74.91 
 
 35 . 73 
 
 74.76 
 
 36.06 
 
 83 
 
 84 
 
 76.13 
 
 35.50 
 
 75.97 
 
 35.83 
 
 75.82 
 
 36.16 
 
 75.66 
 
 36.49 
 
 84 
 
 85 
 
 77.04 
 
 35.92 
 
 76.88 
 
 36.26 
 
 76.72 
 
 36.59 
 
 76.56 
 
 36.93 
 
 85 
 
 86 
 
 77.94 
 
 36.35 
 
 77.78 
 
 36.68 
 
 77.62 
 
 37.02 
 
 77.46 
 
 37.36 
 
 86 
 
 87 
 
 78.85 
 
 36.77 
 
 78.69 
 
 37.11 
 
 78.52 
 
 37.45 
 
 78.36 
 
 37.80 
 
 87 
 
 88 
 
 79 . 76 
 
 37.19 
 
 79.59 
 
 37.54 
 
 79.43 
 
 37.88 
 
 79.26 
 
 38.23 
 
 88 
 
 89 
 
 80.66 
 
 37.61 
 
 80.50 
 
 37.96 
 
 80.33 
 
 38 . 32 
 
 80.16 
 
 38.67 
 
 89 
 
 90 
 
 81.57 
 
 38.04 
 
 81.40 
 
 38.39 
 
 81.23 
 
 38 . 75 
 
 81.06 
 
 39.10 
 
 90 
 
 91 
 
 82.47 
 
 38.46 
 
 82.31 
 
 38.82 | 
 
 82.14 
 
 39.18 
 
 81.96 
 
 39.53 
 
 91 
 
 92 
 
 83.38 
 
 38.88 
 
 83.21 
 
 39.24 
 
 83.04 
 
 39.61 
 
 82.86 
 
 39.97 
 
 92 
 
 93 
 
 84.29 
 
 39.30 
 
 84.11 
 
 39.67 
 
 83.94 
 
 40.04 
 
 83.76 
 
 40.40 
 
 93 
 
 94 
 
 85.19 
 
 39.73 
 
 85.02 
 
 40.10 
 
 84.84 
 
 40.47 
 
 84.67 
 
 40.84 
 
 94 
 
 95 
 
 86.10 
 
 40.15 
 
 85.92 
 
 40.52 
 
 85.75 
 
 40.90 
 
 85.57 
 
 41.27 
 
 95 
 
 96 
 
 87.01 
 
 40.57 
 
 86.83 
 
 40.95 
 
 86.65 
 
 41.33 
 
 86.47 
 
 41.71 
 
 96 
 
 97 
 
 87.91 
 
 40.99 
 
 87.73 
 
 41.38 
 
 87.55 
 
 41.76 
 
 87.37 
 
 42.14 
 
 97 
 
 98 
 
 88.82 
 
 41.42 
 
 88.64 
 
 41.80 
 
 88.45 
 
 42.19 
 
 88.27 
 
 42.58 
 
 98 
 
 99 
 
 89.72 
 
 41.84 
 
 89.54 
 
 42.23 
 
 89.36 
 
 42.62 
 
 89.17 
 
 43.01 
 
 99 
 
 100 
 
 9.0.63 
 
 42.26 
 
 90.45 
 
 42.66 
 
 90.26 
 
 43.05 
 
 90.07 
 
 43.44 
 
 100 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 8 
 
 OJ 
 
 to 
 
 5 
 
 65 Deg. 
 
 64| Deg. 
 
 64i Deg. 
 
 64J Deg. 
 
 rt 
 
 3 
 
TRAVERSE TABLE. 
 
 o 
 
 26 Deg. 
 
 264 Deg. 
 
 26i Deg. 
 
 26| Deg. 
 
 q 
 
 ? 
 
 
 
 
 
 
 
 CD 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 
 
 1 
 
 0.90 
 
 0.44 
 
 0.90 
 
 0.44 
 
 0.89 
 
 0.45 
 
 0.89 
 
 0.45 
 
 1 
 
 2 
 
 1.80 
 
 0.88 
 
 1.79 
 
 0.88 
 
 1.79 
 
 0.89 
 
 1.79 
 
 0.90 
 
 2 
 
 3 
 
 2.70 
 
 1.32 
 
 2.69 
 
 1.33 
 
 2.68 
 
 1.34 
 
 2.68 
 
 1.35 
 
 3 
 
 4 
 
 3.60 
 
 1.75 
 
 3.59 
 
 1.77 
 
 3.58 
 
 1.78 
 
 3.57 
 
 1.80 
 
 4 
 
 5 
 
 4.49 
 
 2.19 
 
 4.48 
 
 2.21 
 
 4.47 
 
 2.23 
 
 4.46 
 
 2.25 
 
 5 
 
 6 
 
 5.39 
 
 2.63 
 
 5.38 
 
 2:65 
 
 5.37 
 
 2.68 
 
 5.36 
 
 2.70 
 
 6 
 
 7 
 
 6.29 
 
 3.07 
 
 6.28 
 
 3.10 
 
 6.26 
 
 3.12 
 
 6.25 
 
 3.15 
 
 7 
 
 8 
 
 7.19 
 
 3.51 
 
 7.17 
 
 3.54 
 
 7.16 
 
 3.57 
 
 7.14 
 
 3.60 
 
 8 
 
 9 
 
 8.09 
 
 3.95 
 
 8.07 
 
 3.98 
 
 8.05 
 
 4.02 
 
 8.04 
 
 4.05 9 
 
 10 
 
 8.99 
 
 4.38 
 
 8.97 
 
 4.42 
 
 8.95 
 
 4.46 
 
 8.93 
 
 4.50 i 10 
 
 11 
 
 9.89 
 
 4.82 
 
 9.87 
 
 4.87 
 
 9.84 
 
 4.91 
 
 9.82 
 
 4.95 
 
 11 
 
 12 
 
 10.79 
 
 5.26 
 
 10.76 
 
 5.31 
 
 10.74 
 
 5.35 
 
 10.72 
 
 5.40 
 
 12 
 
 13 
 
 11.68 
 
 5.70 
 
 11.66 
 
 5.75 
 
 11.63 
 
 5.80 
 
 11.61 
 
 5.85 
 
 13 
 
 14 
 
 12.58 
 
 6.14 
 
 12.58 
 
 6.19 
 
 12.53 
 
 6.25 
 
 12.50 
 
 6.30 
 
 14 
 
 15 
 
 13.48 
 
 6.58 
 
 13.45 
 
 6.63 
 
 13.42 
 
 6.69 
 
 13.39 
 
 6.75 
 
 15 
 
 16 
 
 14.38 
 
 7.01 
 
 14.35 
 
 7.08 
 
 14.32 
 
 7.14 
 
 14.29 
 
 7.20 
 
 16 
 
 17 
 
 15.28 
 
 7.45 
 
 15.25 
 
 7.52 
 
 15.21 
 
 7.59 
 
 15.18 
 
 7.65 
 
 17 
 
 18 
 
 16.18 
 
 7.89 
 
 16.14 
 
 7.96 
 
 16.11 
 
 8.03 
 
 16.07 
 
 8.10 
 
 18 
 
 19 
 
 17.08 
 
 8.33 
 
 17.04 
 
 8.40 
 
 17.00 
 
 8.48 
 
 16.97 
 
 8.55 
 
 19 
 
 20 
 
 17.98 
 
 8.77 
 
 17.94 
 
 8 .85 
 
 17.90 
 
 8.92 
 
 17.86 
 
 9.09 
 
 20 
 
 21 
 
 18.87 
 
 9.21 
 
 18.83 
 
 9.29 
 
 18.79 
 
 9.37 
 
 18.75 
 
 9.45 
 
 21 
 
 22 
 
 19.77 
 
 9.64 
 
 19.73 
 
 9.73 
 
 19.69 
 
 9.82 
 
 19.65 
 
 9.90 
 
 22 
 
 23 
 
 20.67 
 
 10.08 
 
 20.63 
 
 10.17 
 
 20.58 
 
 10.2-6 
 
 20.54 
 
 10.35 
 
 23 
 
 24 
 
 21.5-7 
 
 10.52 
 
 21.52 
 
 10.61 
 
 21.48 
 
 10.71 
 
 21.43 
 
 10.80 
 
 24 
 
 25 
 
 22.47 
 
 10.96 
 
 22.42 
 
 11.06 
 
 22.37 
 
 11.15 
 
 22.32 
 
 11.25 
 
 25 
 
 26 
 
 23.37 
 
 11.40 
 
 23.32 
 
 11,50 
 
 23.27 
 
 11.60 
 
 23.22 
 
 11.70 
 
 26 
 
 27 
 
 24.27 
 
 11.84 
 
 24.22 
 
 11.94 
 
 24.16 
 
 12.05 
 
 24.11 
 
 12.15 
 
 27 
 
 28 
 
 25.17 
 
 12.27 
 
 25.11 
 
 12.38 
 
 25.06 
 
 12.49 
 
 25.00 
 
 12.60 
 
 28 
 
 29 
 
 26.06 
 
 12.71 
 
 26.01 
 
 12.83 
 
 25 . 95 
 
 12.94 
 
 25.90 
 
 13.05 
 
 29 
 
 30 
 
 26.96 
 
 13.15 
 
 26.91 
 
 13.27 
 
 26.85 
 
 13.39 
 
 26.79 
 
 13.50 
 
 30 
 
 31 
 
 27.86 
 
 13.59 
 
 27.80 
 
 13.71 
 
 27.74 
 
 13.83 
 
 27.68 
 
 13.55 
 
 31 
 
 32 
 
 28.76 
 
 14.03 
 
 28.70 
 
 14.15 
 
 28.64 
 
 14.28 
 
 28.58 
 
 14.40 
 
 32 
 
 33 
 
 29.66 
 
 14.47 
 
 29.60 
 
 14.60 
 
 29.53 
 
 14.72 
 
 29.47 
 
 14.85 
 
 33 
 
 34 
 
 30 . 56 
 
 14.90 
 
 30.49 
 
 15.04 
 
 30.43 
 
 15.17 
 
 30.36 
 
 15.30 
 
 34 
 
 35 
 
 31.46 
 
 15.34 
 
 31.39 
 
 15.48 
 
 31.32 
 
 15.62 
 
 31.25 
 
 15.75 
 
 35 
 
 36 
 
 32.36 
 
 15.78 
 
 32.29 
 
 15.92 
 
 32 . 22 
 
 16.06 
 
 32.15 
 
 16.20 
 
 36 
 
 37 
 
 33.26 
 
 16.22 
 
 33.18 
 
 16.36 
 
 33 . 1 1 
 
 16.51 
 
 33.04 
 
 16.65 
 
 37 
 
 38 
 
 34.15 
 
 16.66 
 
 34.08 
 
 16.81 
 
 34.01 
 
 16.96 
 
 33.93 
 
 17.10 
 
 38 
 
 39 
 
 35.05 
 
 17.10 
 
 34.98 
 
 17.25 
 
 34.90 
 
 17.40 
 
 34.83 
 
 17.55 
 
 39 
 
 40 
 
 35.95 
 
 17.53 
 
 35.87 
 
 17.69 
 
 35.80 
 
 17.85 
 
 35.72 
 
 18.00 
 
 40 
 
 41 
 
 36.85 
 
 17.97 
 
 36.77 
 
 18.13 
 
 36.69 
 
 18.29 
 
 36.61 
 
 18.45 
 
 41 
 
 42 
 
 37.75 
 
 18.41 
 
 37.67 
 
 18.58 
 
 37.59 
 
 18.74 
 
 37.51 
 
 18.90 
 
 42 
 
 43 
 
 38.65 
 
 18.85 
 
 38.57 
 
 19.02 
 
 38.48 
 
 19.19 
 
 38.40 
 
 19.35 
 
 43 
 
 44 
 
 39.55 
 
 19.29 
 
 39.46 
 
 19.46 
 
 39.38 
 
 19.63 
 
 39.29 
 
 19.80 
 
 44 
 
 45 
 
 40.45 
 
 19.73 
 
 40.36 
 
 19.90 
 
 40 . 27 
 
 20.08 
 
 40.18 
 
 20.25 
 
 45 
 
 46 
 
 41'. 34 
 
 20.17 
 
 41.26 
 
 20.35 
 
 41.17 
 
 20.53 
 
 41.08 
 
 20.70 
 
 46 
 
 47 
 
 42.24 
 
 20.60 
 
 42.15 
 
 20.79 
 
 42.06 
 
 20.97 
 
 41.97 
 
 21.15 
 
 47 
 
 48 
 
 43.14 
 
 21.04 
 
 43.05 
 
 2'.23 
 
 42 . 96 
 
 21.42 
 
 42.86 
 
 21.60 
 
 48 
 
 49 
 
 44.04 
 
 21.48 
 
 43.95 
 
 21.67 
 
 43.85 
 
 21.86 
 
 43.76 
 
 22.05 
 
 49 
 
 50 
 
 44.94 
 
 21.92 
 
 44.84 
 
 22.11 
 
 44.75 
 
 22.31 
 
 44.65 
 
 22.50 
 
 50 
 
 i 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 d 
 o 
 C 
 
 -*j 
 
 
 
 
 
 1 
 
 s 
 
 64 Deg. 
 
 63| Deg. 
 
 63 Deg. 
 
 63J Deg. 
 
 Q 
 
TRAVERSE TABLE. 
 
 g 
 
 26 Deg. 
 
 26* Deg. 
 
 26 Deg. 
 
 2Cn)eg. 
 
 3 
 
 i 
 P 
 
 
 
 
 
 a. 
 
 p 
 
 3 
 n 
 
 O 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lit, 
 
 Dep. 
 
 
 5L 
 
 45.84 
 
 22.36 
 
 45.74 
 
 22.56 
 
 45.64 
 
 22.76 
 
 45-54 
 
 22796* 
 
 ~51 
 
 52 
 
 46.74 
 
 22.80 
 
 46.64 
 
 23.00 
 
 46.54 
 
 23.20 
 
 4G.43 
 
 23.41 
 
 52 
 
 53 
 
 47.64 
 
 23.23 
 
 47.53 
 
 23.44 
 
 47.43 
 
 23.65 
 
 47.33 
 
 23.83 
 
 53 
 
 54 
 
 48.53 
 
 23.67 
 
 48.43 
 
 23.88 
 
 48.33 
 
 24.09 
 
 48 22 
 
 24.31 
 
 54 
 
 55 
 
 49.43 
 
 24.11 
 
 49.33 
 
 24.33 
 
 49.22 
 
 24.54 
 
 49.11 
 
 24.76 
 
 55 
 
 56 
 
 50.33 
 
 24.55 
 
 50.22 
 
 24.77 
 
 50.12 
 
 24.95 
 
 50.01 
 
 25.21 
 
 56 
 
 57 
 
 51.23 
 
 24.99 
 
 51.12 
 
 25.21 
 
 51.01 
 
 25-43 
 
 50.00 
 
 25.66 
 
 57 
 
 58 
 
 52.13 
 
 25.43 
 
 52.02 
 
 25.65 
 
 51.91 
 
 25 88 
 
 51.79 
 
 26.11 
 
 58 
 
 59 
 
 53.03 
 
 25.86 
 
 52.92 
 
 26.09 
 
 52.80 
 
 26-33 
 
 52.69 
 
 26 . 56 
 
 59 
 
 60 
 
 53.93 
 
 26.30 
 
 53.81 
 
 26.54 
 
 53.70 
 
 26-77 
 
 53.58 
 
 27.01 
 
 60 
 
 61 
 
 54.83 
 
 26.74 
 
 54.71 
 
 26.98 
 
 54.59 
 
 27.22 
 
 54.47 
 
 27.46 
 
 61 
 
 62 
 
 55.73 
 
 27.18 
 
 55.61 
 
 27.42 
 
 55.49 
 
 27.66 
 
 55.36 
 
 27.91 
 
 62 
 
 63 
 
 56.62 
 
 27.62 
 
 56.50 
 
 27.86 
 
 56.38 
 
 28.11 
 
 56.26 
 
 28.36 
 
 63 
 
 64 
 
 57.52 
 
 23.06 
 
 57.40 
 
 28.31 
 
 57.28 
 
 28.56 
 
 57.15 
 
 28.81 
 
 64 
 
 65 
 
 58.42 
 
 28.49 
 
 58.30 
 
 28.75 
 
 58.17 
 
 29.00 
 
 58.04 
 
 29.26 
 
 65 
 
 66 
 
 59.32 
 
 28.93 
 
 59.19 
 
 29.19 
 
 59.07 
 
 29.45 
 
 58.94 
 
 29.71 
 
 66 
 
 67 
 
 60.22 
 
 29.37 
 
 60.09 
 
 29.63 
 
 59.96 
 
 29.90" 
 
 59.83 
 
 30.16 
 
 67 
 
 68 
 
 61.12 
 
 29.81 
 
 60.99 
 
 30.08 
 
 60.86 
 
 30.34 
 
 60.72 
 
 30.61 
 
 68 
 
 69 
 
 62.02 
 
 30.25 
 
 61.88 
 
 30.52 
 
 61.75 
 
 30.79 
 
 61.62 
 
 31.06 
 
 69 
 
 70 
 
 62.92 
 
 30.69 
 
 62.78 
 
 30.96 
 
 62.65 
 
 31.23 
 
 62.51 
 
 31.51 
 
 70 
 
 71 
 
 63.81 
 
 31.12 
 
 63.68 
 
 31.40 
 
 63.54 
 
 31.68 
 
 63.40 
 
 31.96 
 
 71 
 
 72 
 
 64.71 
 
 31,56 
 
 64.57 
 
 31.84 
 
 64.44 
 
 32.13 
 
 64.29 
 
 32.41 
 
 72 
 
 73 
 
 65.61 
 
 32.00 
 
 65.47 
 
 32.29 
 
 65.33 
 
 32.57 
 
 65.19 
 
 32.86 
 
 73 
 
 74 
 
 66.51 
 
 32.44 
 
 66.37 
 
 32.73 
 
 66.23 
 
 33.02 
 
 66.08 
 
 33.31 
 
 74 
 
 75 
 
 67.41 
 
 32.88 
 
 67.27 
 
 33.17 
 
 67.12 
 
 33.46 
 
 66.97 
 
 33.76 
 
 75 
 
 76 
 
 68.31 
 
 33.32 
 
 68.16 
 
 33.61 
 
 68.01 
 
 33.91 
 
 67.87 
 
 34.21 
 
 76 
 
 77 
 
 69.21 
 
 33.75 
 
 69.06 
 
 34.06 
 
 68.91 
 
 34.36 
 
 68.76 
 
 34.66 
 
 77 
 
 78 
 
 70.11 
 
 34.19 
 
 69.96 
 
 34.50 
 
 69.80 
 
 34.80 
 
 69.65 
 
 35.11 
 
 78 
 
 79 
 
 71.00 34.63 
 
 70.85 
 
 34.94 
 
 70.70 
 
 35.25 
 
 70.55 
 
 35.56 
 
 79 
 
 80 
 
 71.90 
 
 35.07 
 
 71.75 
 
 35.38 
 
 71.59 
 
 35.70 
 
 71.44 
 
 36.01 
 
 80 
 
 81 
 
 72.80 
 
 35.51 
 
 72.65 
 
 35 . 83 
 
 72.49 
 
 36.14 
 
 72.33 
 
 36.46 
 
 81 
 
 8^ 
 
 73.70 
 
 35.95 
 
 73 . 54 
 
 36.27 
 
 73.38 
 
 36.59 
 
 73.22 
 
 36.91 
 
 82 
 
 83 
 
 74.60 
 
 36.38 
 
 74.44 
 
 36.71 
 
 74.28 
 
 37.03 
 
 74.12 
 
 37.36 
 
 83 
 
 84 
 
 75.50 
 
 36.82 
 
 75.34 
 
 37.15 
 
 75.17 
 
 37.48 
 
 75.01 
 
 37.81 
 
 84 
 
 85 
 
 76.40 
 
 37.26 
 
 76.23 
 
 37.59 
 
 76.07 
 
 37.93 
 
 75.90 
 
 38.26 
 
 85 
 
 86 
 
 77.30 
 
 37.70 
 
 77.13 
 
 38.04 
 
 76.96 
 
 38.37 
 
 76.80 
 
 38.71 
 
 86 
 
 87 
 
 78.20 
 
 38.14 
 
 78.03 
 
 38.48 
 
 77.86 
 
 38.82 
 
 77.69 
 
 39.16 
 
 87 
 
 88 
 
 79.09 
 
 38.58 
 
 78.92 
 
 38.92 
 
 78.75 
 
 39.27 
 
 78 . 58 
 
 39.61 
 
 88 
 
 89 
 
 79.99 
 
 39.01 
 
 79.82 
 
 39 . 36 
 
 79.65 
 
 39.71 
 
 79.48 
 
 40.06 
 
 89 
 
 90 
 
 80.89 
 
 39.45 
 
 ,80. 72 
 
 39.81 
 
 80.54 
 
 40. 1& 
 
 80.37 
 
 40.51 
 
 90 
 
 91 
 
 81.79 
 
 39.89 
 
 81.62 
 
 40.25 
 
 81.44 
 
 40.60 
 
 81.26 
 
 40.96 
 
 91 
 
 92 
 
 82.69 
 
 40.33 
 
 82.51 
 
 40.69 
 
 82.33 
 
 41.05 
 
 82.15 
 
 41.41 
 
 92 
 
 93 
 
 83.59 
 
 40.77 
 
 83.41 
 
 41.13 
 
 83.23 
 
 41.50 
 
 83.05 
 
 41.86 
 
 93 
 
 94 
 
 84.49 
 
 41.21 
 
 84.31 
 
 41.58 
 
 84.12 
 
 41.94 
 
 83.94 
 
 42.31 
 
 94 
 
 95 
 
 85.39 
 
 41.65 
 
 85.20 
 
 42.02 
 
 85.02 
 
 42.39 
 
 84.83 
 
 42.76 
 
 95 
 
 96 
 
 86.28 
 
 42.08 
 
 86.10 
 
 42.46 
 
 85.91 
 
 42.83 
 
 85.73 
 
 43.21 
 
 96 
 
 97 
 
 87.18 
 
 42.52 
 
 87.00 
 
 42.90 
 
 86.81 
 
 43.28 
 
 86.62 
 
 43.66 
 
 97 
 
 98 
 
 88.08 
 
 42.96 
 
 87.89 
 
 43.34 
 
 87.70 
 
 43.73 
 
 87.51 
 
 44.11 
 
 98 
 
 99 
 
 88.98 
 
 43.40 
 
 88.79 
 
 43.79 
 
 88.60 
 
 44.17 
 
 88.40 
 
 44.56 
 
 99 
 
 100 
 
 89.88 
 
 43.84 
 
 89.69 
 
 44.23 
 
 89.49 
 
 44.62 
 
 89.30 
 
 45.01 
 
 100 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 I 
 
 3 
 
 64 Deg. 
 
 63| Deg. 
 
 63| Deg. 
 
 63* Deg. 
 
 3 
 
56 
 
 TRAVERSE TABLE 
 
 g 
 
 27 Deg. 
 
 27* Deg. 
 
 27 Deg. 
 
 27| Deg. 
 
 O 
 5" 
 
 T 
 
 
 
 
 
 I 
 
 P 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 P 
 
 1 
 
 0.89 
 
 0.45 
 
 0.89 
 
 0.46 
 
 0.89 
 
 0.46 
 
 0.88 
 
 0.47 
 
 1 
 
 8 
 
 1.78 
 
 0.91 
 
 1.78 
 
 0.92 
 
 1.77 
 
 0.92 
 
 1.77 
 
 0.93 
 
 2 
 
 3 2.67 
 
 1.36 
 
 2.67 
 
 1.37 
 
 2.66 
 
 1.39 
 
 2.65 
 
 1.40 
 
 3 
 
 4 
 
 3.56 
 
 1.82 
 
 3.56 
 
 1.83 
 
 3.55 
 
 1.85 
 
 3.54 
 
 1.86 
 
 4 
 
 5 
 
 4.45 
 
 2.27 
 
 4.45 
 
 2.29 
 
 4.44 
 
 2.31 
 
 4.42 
 
 2.33 
 
 5 
 
 6 
 
 5.35 
 
 2.72 
 
 5.33 
 
 2.75 
 
 5.32 
 
 2.77 
 
 5.31 
 
 2.79 
 
 6 
 
 7 
 
 6.24 
 
 3.18 
 
 6.22 
 
 3.21 
 
 6.21 
 
 3.23 
 
 6.19 
 
 3.26 
 
 7 
 
 8 
 
 7.13 
 
 3.63 
 
 7.11 
 
 3.66 
 
 7.10 
 
 3.69 
 
 7.08 
 
 3.72 
 
 8 
 
 9 
 
 8.02 
 
 4.09 
 
 8.00 
 
 4.12 
 
 7.98 
 
 4.16 
 
 7.96 
 
 4.19 
 
 9 
 
 10 
 
 8.91 4.54 
 
 8.89 
 
 4.58 
 
 8.87 
 
 4,62 
 
 8.85 
 
 4.66 
 
 10 
 
 11 
 
 9.80 
 
 4.99 ! 
 
 9.78 
 
 5.04 
 
 9.76 
 
 5.08 
 
 9.73 
 
 5.12 
 
 11 
 
 12 
 
 10.69 
 
 5.45 
 
 10.67 
 
 5.49 
 
 10.64 
 
 5.54 
 
 10.62 
 
 5.59 
 
 12 
 
 13 
 
 1 1 . 58 
 
 5.90 
 
 11.56 
 
 5.95 
 
 11.53 
 
 6.00 
 
 11.50 
 
 6.05 
 
 13 
 
 14 
 
 12.47 
 
 6.36 
 
 12.45 
 
 6.41 
 
 12.42 
 
 6.46 
 
 12.39 
 
 6.52 
 
 14 
 
 15 
 
 13.37 
 
 6.81 
 
 13.34 
 
 6.87 
 
 13.31 
 
 6.93 
 
 13.27 
 
 6.98 
 
 15 
 
 16 
 
 14.26 
 
 7.26 
 
 14.22 
 
 7.33 
 
 14.19 
 
 7.39 
 
 14.16 
 
 7.45 
 
 16 
 
 17 
 
 15.15 
 
 7.72 
 
 15.11 
 
 7.78 
 
 15.08 
 
 7.85 
 
 15.04 
 
 7.92 
 
 17 
 
 18 
 
 16.04 
 
 8.17 
 
 16.00 
 
 8.24 
 
 15.97 
 
 8.31 
 
 15.93 
 
 8.38 
 
 18 
 
 19 
 
 16.93 
 
 8.63 
 
 16.89 
 
 8.70 
 
 16.85 
 
 8.77 
 
 16.81 
 
 8.85 
 
 19 
 
 20 
 
 17.82 
 
 9.08 
 
 17.78 
 
 9.16 
 
 17.74 
 
 9.23 
 
 17.70 
 
 9.31 
 
 20 
 
 21 
 
 18.71 
 
 " 9 . 53 
 
 18.67 
 
 9.62 i 
 
 18.63 
 
 9.70 
 
 18.58 
 
 9.78 
 
 21 
 
 22 
 
 19.60 
 
 9.99 
 
 19.56 
 
 10.07 
 
 19.51 
 
 10.16 
 
 19.47 
 
 10.24 
 
 22 
 
 23 
 
 20.49 
 
 10.44 
 
 20.45 
 
 10.53 
 
 20.40 
 
 10.62 
 
 20.35 
 
 10.71 
 
 23 
 
 24 
 
 21.38 
 
 10.90 
 
 21.34 
 
 10.99 
 
 21.29 
 
 11.08 
 
 21.24 
 
 11.17 
 
 24 
 
 25 
 
 22.2-8 
 
 11.35 
 
 22 . 23 
 
 11.45 
 
 22.18 
 
 11.54 
 
 22.12 
 
 11.64 
 
 25 
 
 26 
 
 23.17 
 
 11.80 
 
 23.11 
 
 11.90 
 
 23.06 
 
 12.01 
 
 23.01 
 
 12.11 
 
 26 
 
 27 
 
 24.06 
 
 12.26 
 
 24.00 
 
 12.36 
 
 23.95 
 
 12.47 
 
 23.89 
 
 12.57 
 
 27 
 
 28 
 
 24.95 
 
 12.71 
 
 24.89 
 
 12.82 
 
 24.84 
 
 12.93 
 
 24.78 
 
 13.04 
 
 28 
 
 29 
 
 25.84 
 
 13.17 
 
 25.78 
 
 13.28 
 
 25.72 
 
 13.39 
 
 25.66 
 
 13.50 
 
 29 
 
 30 
 
 26.73 
 
 13.62 
 
 26.67 
 
 13.74 
 
 26.61 
 
 13.85 
 
 26.55 
 
 13.97 
 
 30 
 
 31 
 
 27.62 
 
 14.07 
 
 27.56 
 
 14.19 
 
 27.50 
 
 14.31 
 
 27.43 
 
 14.43 
 
 31 
 
 32 
 
 28.51 
 
 14.53 
 
 28.45 
 
 14.65 
 
 28.38 
 
 14.78 
 
 28.32 
 
 14.90 
 
 32 
 
 33 
 
 29.40 
 
 14.98 
 
 29.34 
 
 15.11 
 
 29.27 
 
 15.24 
 
 29.20 
 
 15.37 
 
 33 
 
 34 
 
 30.29 
 
 15.44 
 
 30.23 
 
 15.57 
 
 30.16 
 
 15.70 
 
 30.09 
 
 15.83 
 
 34 
 
 35 
 
 31.19 
 
 15.89 
 
 31.12 
 
 16.03 
 
 31.05 
 
 16.16 
 
 30.97 
 
 16.30 
 
 35 
 
 36 
 
 32 . 08 
 
 16.34 
 
 32.00 
 
 16.48 
 
 31.93 
 
 16.62 
 
 31.86 
 
 16.76 
 
 36 
 
 37 
 
 32.97 
 
 16.80 
 
 32.89 
 
 16.94 
 
 32.82 
 
 17.08 
 
 32.74 
 
 17.23 
 
 37 
 
 38 
 
 33.86 
 
 17.25 
 
 33.78 
 
 17.40 
 
 33.71 
 
 17.55 
 
 33.63 
 
 17.69 
 
 38 
 
 39 
 
 34.75 
 
 17.71 
 
 34.67 
 
 17.86 
 
 34.59 
 
 18.01 
 
 34.51 
 
 18.16 
 
 39 
 
 40 
 
 3ft . 64 
 
 18.16 
 
 35.56 
 
 18.31 
 
 35.48 
 
 18.47 
 
 35.40 
 
 18.62 
 
 40 
 
 41 
 
 36.53 
 
 18.61 
 
 36.45 
 
 18.77 
 
 36.37 
 
 18.93 
 
 36.28 
 
 19.09 
 
 41 
 
 42 
 
 37.42 
 
 19.07 
 
 37.34 
 
 19.23 
 
 37.25 
 
 19.39 
 
 37.17 
 
 19.56 
 
 42 
 
 43 
 
 38.31 
 
 19.52 
 
 38.23 
 
 19.69 
 
 38.14 
 
 19.86 
 
 38.05 
 
 20.02 
 
 43 
 
 44 
 
 39.20 
 
 19.98 
 
 39.12 
 
 20.15 
 
 39.03 
 
 20.32 
 
 38.94 
 
 20.49 
 
 44 
 
 45 
 
 40.10 
 
 20. 3 
 
 40.01 
 
 20.60 
 
 39.92 
 
 20.78 
 
 39.82 
 
 20 . 95 
 
 45 
 
 46 
 
 40.99 
 
 20.88 
 
 40.89 
 
 21.06 
 
 40.80 
 
 21.24 
 
 40.71 
 
 21.42 
 
 46 
 
 47 
 
 41.88 
 
 21.34 
 
 41.78 
 
 21.52 
 
 41.69 
 
 21.70 
 
 41.59 
 
 21.88 
 
 47 
 
 48 
 
 42.77 121.79 
 
 42.67 
 
 21.98 
 
 42.58 
 
 22.16 
 
 42.48 
 
 22.35 
 
 48 
 
 49 
 
 43.66 
 
 22.25 
 
 43.56 
 
 22.44 
 
 43.46 
 
 22.63 
 
 43.36 
 
 22.82 
 
 49 
 
 50 
 
 44.55 
 
 22.70 
 
 44.45 
 
 22.89 
 
 44.35 
 
 23.09 
 
 44.25 
 
 23.28 
 
 50 
 
 I 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 
 
 * 
 
 
 
 
 
 5 
 
 JS 
 
 63 Deg. 
 
 62| Deg. 
 
 62| Deg. 
 
 62* Deg. 
 
 ft 
 
TRAVERSE TABLE. 
 
 g 
 
 27 Deg. 
 
 27* Deg. 
 
 27 Deg. 
 
 27| Deg. 
 
 O 
 
 5> 
 
 
 
 
 
 
 I 
 
 | 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 P 
 
 51 
 
 45.44 
 
 23.15 
 
 45.34 
 
 23.35 
 
 45.24 
 
 23.55 
 
 45.13 
 
 ~23~775~ 
 
 51 
 
 52 
 
 46.33 
 
 23.61 
 
 46.23 
 
 23.81 
 
 46.12 
 
 24.01 
 
 46.02 
 
 24.21 
 
 52 
 
 53 
 
 47.22 
 
 24.06 
 
 47.12 
 
 24.27 
 
 47.01 
 
 24.47 
 
 46.90 
 
 24.68 
 
 53 
 
 54 
 
 48.11 
 
 24.52 
 
 48.01 
 
 24.73 
 
 47.90 
 
 24.93 
 
 47.79 
 
 25.14 
 
 54 
 
 55 
 
 49.01 
 
 24.97 
 
 48.90 
 
 25.18 
 
 48.79 
 
 25.40 
 
 48.67 
 
 25.61 
 
 55 
 
 56 
 
 49.90 
 
 25.42 
 
 49.78 
 
 25.64 
 
 49.67 
 
 25.86 
 
 49.56 
 
 26.07 
 
 56 
 
 57 
 
 50.79 
 
 25.88 
 
 50.67 
 
 28.10 
 
 50.56 
 
 26.32 
 
 50.44 
 
 26.54 
 
 57 
 
 58 
 
 51.68 
 
 26.33 
 
 51.56 
 
 26.56 
 
 51.45 
 
 26.78 
 
 51.33 
 
 27.01 
 
 58 
 
 59 
 
 52.57 
 
 26.79 
 
 52.45 
 
 27.01 
 
 52.33 
 
 27.24 
 
 52.21 
 
 27.47 
 
 59 
 
 60 
 
 53.46 
 
 27.24 
 
 53.34 
 
 27.47 
 
 53.22 
 
 27.70 
 
 53.10 
 
 27.94 
 
 60 
 
 61 
 
 54.35 
 
 27.69 
 
 54.23 
 
 27.93 
 
 54.11 
 
 28.17 
 
 53.98 
 
 28.40 
 
 61 
 
 62 
 
 55.24 
 
 28.15 
 
 55.12 
 
 28.39 
 
 54.99 
 
 28.63 
 
 54.87 
 
 28.87 
 
 62 
 
 63 
 
 56.13 
 
 28.60 
 
 56.01 
 
 28.85 
 
 55.88 
 
 29.09 
 
 55.75 
 
 29.33 
 
 63 
 
 64 
 
 57.02 
 
 29.06 
 
 56.90 
 
 29.30 
 
 56.77 
 
 29.55 
 
 56.64 
 
 29.80 
 
 64 
 
 65 
 
 57.92 
 
 29.51 
 
 57.79 
 
 29.76 
 
 57.66 
 
 30.01 
 
 57.52 
 
 30.26 
 
 65 
 
 66 
 
 58.81 
 
 29.96 
 
 58.68 
 
 30.22 
 
 58.54 
 
 30.48 
 
 58.41 
 
 30.73 
 
 66 
 
 67 
 
 59 . 70 
 
 30.42 
 
 59.56 
 
 30.68 
 
 59.43 
 
 30.94 
 
 59.29 
 
 31.20 
 
 67 
 
 68 
 
 60.59 
 
 30.87 
 
 60.45 
 
 31.14 
 
 60.32 
 
 31.40 
 
 60.18 
 
 31.66 
 
 68 
 
 69 
 
 61.48 
 
 31.33 
 
 61.34 
 
 31.59 
 
 61.20 
 
 31 .86 
 
 61.06 
 
 32.13 
 
 69 
 
 70 
 
 62.37 
 
 31.78 
 
 62.23 
 
 32.05 
 
 62.09 
 
 32.32 
 
 61.95 
 
 32.59 
 
 70 
 
 71 
 
 63.26 
 
 32.23 
 
 63.12 
 
 32.51 
 
 62.98 
 
 32.78 
 
 62.83 
 
 33.06 
 
 71 
 
 72 
 
 64.15 
 
 32.69 
 
 64.01 
 
 32 . 97 
 
 63.86 
 
 33.25 
 
 63.72 
 
 33 . 52 
 
 72 
 
 73 
 
 65.04 
 
 33.14 
 
 64.90 
 
 33.42 
 
 64.75 
 
 33.71 
 
 64.60 
 
 33.99 
 
 73 
 
 74 
 
 65 . 93 
 
 33.60 
 
 65 . 79 
 
 33.88 
 
 65 . 64 
 
 34.17 
 
 65.49 
 
 34.46 
 
 74 
 
 75 
 
 66.83 
 
 34.05 
 
 66.68 
 
 34.34 
 
 66.53 
 
 34.63 
 
 66.37 
 
 34.92 
 
 75 
 
 76 
 
 67.72 
 
 34.50 
 
 67.57 
 
 34.80 
 
 67.41 
 
 35.09 
 
 67.26 
 
 35.39 
 
 76 
 
 77 
 
 68.61 
 
 34.96 
 
 68.45 
 
 35.26 
 
 68.30 
 
 35.55 
 
 68.14 
 
 35.85 
 
 77 
 
 78 
 
 69.50 
 
 35.41 
 
 69.34 
 
 35.71 
 
 69.19 
 
 36.02 I! 69.03 
 
 36.32 
 
 78 
 
 79 
 
 70.39 
 
 35.87 
 
 70.23 
 
 36.17 
 
 70.07 
 
 36.48 
 
 69.91 
 
 36.78 
 
 79 
 
 80 
 
 71.28 
 
 36.32 
 
 71-12 
 
 36.63 
 
 70.96 
 
 36.94 
 
 70.80 
 
 37.25 
 
 80 
 
 81 
 
 72.17 
 
 36.77 
 
 72.01 
 
 37.09 
 
 71.85 
 
 37.40 
 
 71.68 
 
 37.71 
 
 81 
 
 82 
 
 73.06 
 
 37.23 
 
 72.90 
 
 37.55 
 
 72.73 
 
 37.86 
 
 72.57 
 
 38.18 
 
 82 
 
 83 
 
 73.95 
 
 37.68 
 
 73.79 
 
 38.00 
 
 73.62 
 
 38.33 
 
 73.45 
 
 38.65 
 
 83 
 
 84 
 
 74.84 
 
 38.14 
 
 74.68 
 
 38.46 
 
 74.51 
 
 38.79 
 
 74.34 
 
 39.11 
 
 84 
 
 85 
 
 75 . 74 
 
 38 . 59 
 
 75 . 57 
 
 38.92 
 
 75.40 
 
 39.25 
 
 75.22 
 
 39.58 
 
 85 
 
 86 
 
 76.63 
 
 39.04 
 
 76.46 
 
 39.38 
 
 76.28 
 
 39.71 
 
 76.11 
 
 40.04 
 
 86 
 
 87 
 
 77.52 
 
 39.50 
 
 77.34 
 
 39.83 
 
 77.17 
 
 40.17 
 
 76.99 
 
 40.51 
 
 87 
 
 88 
 
 78.41 
 
 39.95 
 
 78.23 
 
 40.29 
 
 78.06 
 
 40.63 
 
 TV. 88 
 
 40.97 
 
 88 
 
 89 
 
 79.30 
 
 40.41 
 
 79.12 
 
 40 . 75 
 
 78.94 
 
 41.10 
 
 78.76 
 
 41.44 
 
 89 
 
 90 
 
 80.19 
 
 40.86 
 
 80.01 
 
 41.21 
 
 79.83 
 
 41.56 
 
 79.65 
 
 41.91 
 
 90 
 
 91 
 
 81.08 
 
 41.31 
 
 80.90 
 
 41.67 
 
 80.72 
 
 42.02 
 
 80.53 
 
 42.37 
 
 91 
 
 92 
 
 81.97 
 
 41.77 
 
 81.79 
 
 42.12 
 
 81.60 
 
 42.48 
 
 81.42 
 
 42.84 
 
 '92 
 
 93 
 
 82.86 
 
 42 . 22 
 
 82.68 
 
 42 . 58 
 
 82.49 
 
 42.94 
 
 82.30 
 
 43.30 
 
 93 
 
 94 
 
 83 . 75 
 
 42.68 
 
 83.57 
 
 43.04 
 
 83.38 
 
 43.40 
 
 83.19 
 
 43.77 
 
 94 
 
 95 
 
 84.65 
 
 43.13 
 
 84.46 
 
 43.50 
 
 84.27 
 
 43.87 
 
 84.07 
 
 44.23 
 
 95 
 
 96 
 
 85 . 54 
 
 43.58 
 
 85.35 
 
 43.96 
 
 85.15 
 
 44.33 
 
 84.96 
 
 44.70 
 
 9f> 
 
 97 
 
 86.43 
 
 44.04 
 
 86.23 
 
 44.41 
 
 86.04 
 
 44.79 
 
 85.84 
 
 45.16 
 
 97 
 
 98 
 
 87.32 
 
 44.49 
 
 87.12 
 
 44.87 
 
 86.93 
 
 45.25 
 
 86.73 
 
 45.63 
 
 98 
 
 99 
 
 88.21 
 
 44 . 95 
 
 88.01 
 
 45 . 33 
 
 87.81 
 
 45.71 
 
 87.61 
 
 46.10 
 
 99 
 
 100 
 
 89.10 
 
 45.40 
 
 88.90 
 
 45 . 79 
 
 88.70 
 
 46.17 
 
 88.50 
 
 46 . 56 
 
 100 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 I 
 
 ri 
 
 .2 
 Q 
 
 63 Deg. 
 
 62| Deg. 
 
 62 Deg. 
 
 62| Deg. 
 
 1 
 
TRAVERSE TABLE. 
 
 G 
 
 28 Deg. 
 
 284 Deg. 
 
 28 Deg. 
 
 28| Deg. 
 
 O 
 
 S- 
 
 
 
 
 
 1 
 
 1 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 
 
 1 
 
 0.88 
 
 0.47 
 
 0.88 
 
 0.47 
 
 0.88 
 
 0.48 
 
 0.88 
 
 0.48 
 
 1 
 
 2 
 
 1.77 
 
 0.94 
 
 1.76 
 
 0.95. 
 
 1.76 
 
 0.95 
 
 1.75 
 
 0.96 
 
 2 
 
 3 
 
 2.65 
 
 1.41 
 
 2.64 
 
 1.42 
 
 2.64 
 
 1.43 
 
 2.63 
 
 1.44 
 
 3 
 
 4 
 
 3.53 
 
 1.88 
 
 3.52 
 
 1.89 
 
 3.52 
 
 1.91 
 
 3.51 
 
 1.92 
 
 4 
 
 5 
 
 4.41 
 
 2.35 
 
 4.40 
 
 2.37 
 
 4.39 
 
 2.39 
 
 4.38 
 
 2.40 
 
 5 
 
 6 
 
 5.30 
 
 2.82 
 
 5.29 
 
 2.84 
 
 5.27 
 
 2.86 
 
 5.26 
 
 2.89 
 
 6 
 
 7 
 
 6.18 
 
 3.29 
 
 6.17 
 
 3.31 
 
 6.15 
 
 3.34 
 
 6.14 
 
 3.37 
 
 7 
 
 8 
 
 7.06 
 
 3.76 
 
 7.05 
 
 3.79 
 
 7.03 
 
 3.82 
 
 7.01 
 
 3.85 
 
 8 
 
 9 
 
 7.95 
 
 4.23 
 
 7.93 
 
 4.26 
 
 7.91 
 
 4.29 
 
 7.89 
 
 4.33 
 
 9 
 
 10 
 
 8.83 
 
 4.69 
 
 8.81 
 
 4.73 
 
 8.79 
 
 4.77 
 
 8.77 
 
 4.81 
 
 10 
 
 11 
 
 9.71 
 
 5.16 
 
 9.69 
 
 5.21 
 
 9.67 
 
 5.25 
 
 9.64 
 
 5.29 
 
 11 
 
 12 
 
 10.60 
 
 5.63 
 
 10.57 
 
 5.68 
 
 10.55 
 
 5.73 
 
 10.52 
 
 5.77 
 
 12 
 
 13 
 
 11.48 
 
 6.10 
 
 11.45 
 
 6.15 
 
 11.42 
 
 6.20 
 
 11.40 
 
 6.25 
 
 13 
 
 14 
 
 12.36 
 
 6.57 
 
 12.33 
 
 6.63 
 
 12.30 
 
 6.68 
 
 12.27 
 
 6.73 
 
 14 
 
 15 
 
 13.24 
 
 7.04 
 
 13.21 
 
 7.10 
 
 13.18 
 
 7.16 
 
 13.15 
 
 7.21 
 
 15 
 
 16 
 
 14.13 
 
 7.51 
 
 14.09 
 
 7.57 
 
 14.06 
 
 7.63 
 
 14.03 
 
 7.70 
 
 16 
 
 17 
 
 15.01 
 
 7.98 
 
 14.98 
 
 8.05 
 
 14.94 
 
 8.11 
 
 14.90 
 
 8.18 
 
 17 
 
 18 
 
 15.89 
 
 8.45 
 
 15.86 
 
 8.52 
 
 15.82 
 
 8.59 
 
 15.78 
 
 8.66 
 
 18 
 
 19 
 
 16.78 
 
 8.92 
 
 16.74 
 
 8.99 
 
 16.70 
 
 9.07 
 
 16.66 
 
 9.14 
 
 19 
 
 20 
 
 17.66 
 
 9.39 
 
 17.62 
 
 9.47 
 
 17.58 
 
 9.54 
 
 17.53 
 
 9.62 
 
 20 
 
 21 
 
 18.54 
 
 9.86 
 
 18.50 
 
 9.94 
 
 18.46 
 
 10.02 | 18.41 
 
 10.10 
 
 21 
 
 22 
 
 19.42 
 
 10.33 
 
 19.38 
 
 10.41 
 
 19.33 
 
 10.50 19.29 
 
 10.58 
 
 22 
 
 23 
 
 20.31 
 
 10.80 
 
 20.26 
 
 10.89 
 
 20.21 
 
 10.97 20.16 
 
 11.06 
 
 23 
 
 24 
 
 21.19 
 
 11.27 
 
 21.14 
 
 11.36 
 
 21.09 
 
 11.45 
 
 21.04 
 
 11.54 
 
 24 
 
 25 
 
 22.07 
 
 1 1 . 74 
 
 22.02 
 
 11.83 
 
 21.97 
 
 11.93 
 
 21.92 
 
 12.02 
 
 25 
 
 26 
 
 22.96 
 
 12.21 
 
 22 . 90 
 
 12.31 
 
 22.85 
 
 12.41 
 
 22.79 
 
 12.51 
 
 26 
 
 27 
 
 23.84 
 
 12.68 
 
 23.78 
 
 12.78 
 
 23 . 73 
 
 12.88 
 
 23.67 
 
 12.99 
 
 27 
 
 28 
 
 24.72 
 
 13.15 
 
 24.66 
 
 13.25 
 
 24.61 
 
 13.36 
 
 24.55 
 
 13.47 
 
 28 
 
 29 
 
 25.61 
 
 13.61 
 
 25.55 
 
 13.73 
 
 25.49 
 
 13.84 
 
 25.43 
 
 13.95 
 
 29 
 
 30 
 
 26.49 
 
 14.08 
 
 26.43 
 
 14.20 
 
 26.36 
 
 14.31 
 
 26.30 
 
 14.43 
 
 30 
 
 31 
 
 27.37 
 
 14.55 
 
 27.31 
 
 14.67 
 
 27.24 
 
 14.79 
 
 27.18 
 
 14.91 
 
 31 
 
 32 
 
 28.25 
 
 15.02 
 
 28.19 
 
 15.15 
 
 28.12 
 
 15.27 
 
 28.06 
 
 15.39 
 
 32 
 
 33 
 
 29.14 
 
 15.49 
 
 29.07 
 
 15.62 
 
 29.00 
 
 15.75 
 
 28 . 93 
 
 15.87 
 
 33 
 
 34 
 
 30.02 
 
 15.96 
 
 29.95 
 
 16.09 
 
 29.88 
 
 16.22 
 
 29.81 
 
 16.35 
 
 34 
 
 35 
 
 30 . 90 
 
 16.43 
 
 30.83 
 
 16.57 
 
 30.76 
 
 16.70 
 
 30.69 
 
 16.83 
 
 35 
 
 36 
 
 31.79 
 
 16.90 
 
 31.71 
 
 17.04 
 
 31.64 
 
 17.18 
 
 31.56 
 
 17.32 
 
 36 
 
 37 
 
 32.67 
 
 17.37 
 
 32,59 
 
 17.51 
 
 32.52 
 
 17.65 
 
 32.44 
 
 17.80 
 
 37 
 
 38 
 
 33.55 
 
 17.-64 
 
 33.47 
 
 17.99 
 
 33.39 
 
 18.13 
 
 33.32 
 
 18.28 
 
 38 
 
 39 
 
 34.43 
 
 18.31 
 
 34.35 
 
 18.46 
 
 34.27 
 
 18.61 
 
 34.19 
 
 18.76 
 
 39 
 
 40 
 
 35.32 
 
 18.78 
 
 35.24 
 
 18.93 
 
 35.15 
 
 19.09 
 
 35.07 
 
 19.24 
 
 40 
 
 41 
 
 36.20 
 
 19.25 
 
 36.12 
 
 19.41 
 
 36.03 
 
 19.56 
 
 35.95 
 
 19.72 
 
 41 
 
 42 
 
 37.08 
 
 19.72 
 
 37.00 
 
 19.88 
 
 36.91 
 
 20.04 
 
 36.82 
 
 20.20 
 
 42 
 
 43 
 
 37.97 20.19 
 
 37.88 
 
 20.35 
 
 37.79 
 
 20.52 
 
 37.70 
 
 20.68 
 
 43 
 
 44 
 
 38.85 
 
 20.66 
 
 38.76 
 
 20.83 
 
 38.67 
 
 20.99 
 
 38.58 
 
 21.16 
 
 44 
 
 45 
 
 39.73 
 
 21.13 
 
 39.64 
 
 21.30 
 
 39.55 
 
 21.47 
 
 39.45 
 
 21.64 
 
 45 
 
 40 
 
 40.62 
 
 21.60 
 
 40.52 
 
 21.77 
 
 40.43 
 
 21.95 
 
 40.33 
 
 22.13 
 
 46 
 
 47 
 
 41.50 
 
 22.07 
 
 41.40 
 
 22.25 
 
 41.30 
 
 22.43 
 
 41.21 
 
 22.61 
 
 47 
 
 48 
 
 42.38 
 
 22.53 
 
 42.28 
 
 22.72 
 
 42.18 
 
 22.90 
 
 42.08 
 
 23.09 
 
 48 
 
 49 
 
 43.26 
 
 23.00 
 
 43.16 
 
 23.19 
 
 43.06 
 
 23.38 
 
 42.96 
 
 23.57 
 
 49 
 
 50 
 
 44.15 
 
 23.47 
 
 44.04 
 
 23.67 
 
 43.94 
 
 23.86 
 
 43.84 
 
 24.05 
 
 50 
 
 o" 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 I 
 
 1 
 
 
 
 
 
 1 
 
 3 
 
 
 
 62 Deg. 
 
 6 If Deg. 
 
 61 Deg. 
 
 61i Deg. 
 
 91 
 
 Q 
 
 
 
 
 
 
 r 
 
TRAVERSE TABLE. 
 
 59 
 
 o 
 
 28 Deg. 
 
 28i Deg. 
 
 28 Deg. 
 
 28| Deg. 
 
 O 
 
 p 
 
 
 
 
 
 1' 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 51 
 
 45.03 
 
 23.94 
 
 44.93 
 
 24.14 
 
 44.82 
 
 24.34 
 
 44.71 
 
 24.53 
 
 51 
 
 52 
 
 45.91 
 
 24.41 
 
 45.81 
 
 24.61 
 
 45.70 
 
 24.81 
 
 45.59 
 
 25.01 
 
 52- 
 
 53 
 
 46.80 
 
 24.88 
 
 46.69 
 
 25.09 
 
 .46 . 58 
 
 25.29 
 
 46.47 
 
 25.49 
 
 53 
 
 54 
 
 47.68 
 
 25.35 
 
 47.57 
 
 25.56 
 
 47.46 
 
 25 . 77 
 
 47.34 
 
 25.97 
 
 54 
 
 55 
 
 48.56 
 
 25.82 
 
 48.45 
 
 26.03 
 
 48 . 33 
 
 26 . 24 
 
 48.22 
 
 26.45 
 
 55 
 
 56 
 
 49.45 
 
 26.29 
 
 49.33 
 
 2651 
 
 49.21 
 
 26.72 
 
 49.10 
 
 26.94 
 
 56 
 
 57 
 
 50.33 
 
 26.76 
 
 50.21 
 
 26.98 
 
 50.09 
 
 27.20 
 
 49.97 
 
 27.42 
 
 57 
 
 58 
 
 51.21 
 
 27.23 
 
 51.09 
 
 27.45 
 
 50.97 
 
 27.68 
 
 50.85 
 
 27.90 
 
 58 
 
 59 
 
 52.09 
 
 27.70 
 
 51.97 
 
 27.93 
 
 51.85 
 
 28.15 
 
 51.73 
 
 28.38 
 
 59 
 
 60 
 
 52.98 
 
 28.17 
 
 52.85 
 
 28.40 
 
 52 . 73 
 
 28.63 
 
 52 . 60 
 
 28.86 
 
 60 
 
 61 
 
 53.86 
 
 28.64 
 
 53.73 
 
 28.87 
 
 53.61 
 
 29 . 1 1 
 
 53.48 
 
 29.34 
 
 61 
 
 62 
 
 54.74 
 
 29.11 
 
 54.62 
 
 29.35 
 
 54.49 
 
 29.58 
 
 54.36 
 
 29.82 
 
 62 
 
 63 
 
 55 . 63 
 
 29.58 
 
 55.50 
 
 29.82 
 
 55.37 
 
 30.06 
 
 55.23 
 
 30.30 
 
 63 
 
 64 
 
 56.51 
 
 30.05 
 
 56.38 
 
 30.29 
 
 56.24 
 
 30.54 
 
 56.11 
 
 30.78 
 
 64 
 
 65 
 
 57.39 
 
 30.52 
 
 57.26 
 
 30.77 
 
 57.12 
 
 31.02 
 
 56.99 
 
 31.26 
 
 65 
 
 66 
 
 58.27 
 
 30.99 
 
 58.14 
 
 31.24 
 
 58.00 
 
 31.49 
 
 57.86 
 
 31.75 
 
 66 
 
 67 
 
 59.16 
 
 31.45 
 
 59 . 02 
 
 31.71 
 
 58.88 
 
 31.97 
 
 58.74 
 
 32.23 
 
 67 
 
 68 
 
 60.04 
 
 31.92 
 
 59.90 
 
 32.19 
 
 59.76 
 
 32.45 
 
 59 . 62 
 
 32.71 
 
 68 
 
 69 
 
 60.92 
 
 32.39 
 
 60.78 
 
 32 . 66 
 
 60.64 
 
 32.92 
 
 60.49 
 
 33.19 
 
 69 
 
 70 
 
 61.81 
 
 32.85 
 
 61.66 
 
 33.13 
 
 61.52 
 
 33.40 
 
 61.37 
 
 33.67 
 
 70 
 
 71 
 
 62.69 
 
 33.33 
 
 62 . 54 
 
 33.61 
 
 62.40 
 
 33.88 
 
 62.25 
 
 34.15 
 
 71 
 
 72 
 
 63.57 
 
 33.80 
 
 63.42 
 
 34.08 
 
 63.27 
 
 34.36 
 
 63.12 
 
 34.63 
 
 72 
 
 73 
 
 64.46 
 
 34.27 
 
 64.30 
 
 34.55 
 
 64.15 
 
 34.83 
 
 64.00 
 
 35 . 1 1 
 
 73 
 
 74 
 
 65.34 
 
 34.74 
 
 65.19 
 
 35.03 
 
 65.03 
 
 35.31 
 
 64.88 
 
 35.59 
 
 74 
 
 75 
 
 66.22 
 
 35.21 
 
 66.07 
 
 35.50 
 
 65.91 
 
 35.79 
 
 65 . 75 
 
 36.07 
 
 75 
 
 76 
 
 67.10 
 
 35.68 
 
 66.95 
 
 35.97 
 
 66 . 79 
 
 36.26 
 
 fi6. 63 
 
 36.56 
 
 76 
 
 77 
 
 67.99 
 
 36.15 
 
 67.83 
 
 36.45 
 
 67.67 
 
 36.74 
 
 67.51 
 
 37.04 
 
 77 
 
 78 
 
 68 . 87 
 
 36.62 
 
 68.71 
 
 36.92 
 
 68.55 
 
 37.22 
 
 68.38 
 
 37.52 
 
 78 
 
 79 
 
 69.75 
 
 37.09 
 
 69.59 
 
 37.39 
 
 69.43 
 
 37.70 
 
 69.26 
 
 38.00 
 
 79 
 
 80 
 
 70 . 64 
 
 37.56 
 
 70.47 
 
 37.87 
 
 70.31 
 
 38.17 
 
 70.14 
 
 38.48 
 
 80 
 
 81 
 
 71.52 
 
 38.03 
 
 71.35 
 
 38.34 
 
 71.18 
 
 38 . 65 
 
 71.01 
 
 38.96 
 
 81 
 
 82 
 
 72.40 
 
 38.50 
 
 72.23 
 
 38.81 
 
 72.06 
 
 39.13 
 
 71.89 
 
 39.44 
 
 82 
 
 83 
 
 73.28 
 
 38.97 
 
 73.11 
 
 39.29 
 
 72.94 
 
 39 . 60 
 
 72.77 
 
 39 . 92 
 
 83 
 
 84 
 
 74 . ] 7 
 
 39.44 
 
 73.99 
 
 39 . 76 
 
 73.82 
 
 40.08 
 
 73.64 
 
 40.40 
 
 84 
 
 85 
 
 75.05 
 
 39.91 
 
 74.88 
 
 40.23 
 
 74.70 
 
 40.56 
 
 74.52 
 
 40.88 
 
 85 
 
 86 
 
 75 . 93 
 
 40.37 
 
 75.76 
 
 40.71 
 
 75 58 
 
 41.04 
 
 75.40 
 
 41.36 
 
 86 
 
 87 
 
 76.82 
 
 40.84 
 
 76.64 
 
 41.18 
 
 76.46 
 
 41.51 
 
 76.28 
 
 41.85 
 
 87 
 
 88 
 
 77.70 
 
 41.31 
 
 77.52 
 
 41.65 
 
 77.34 
 
 41.99 
 
 77.15 
 
 42.33 
 
 88 
 
 89 
 
 78.58 
 
 41.78 
 
 78.40 
 
 42.13 
 
 78.21 
 
 42.47 
 
 78.03 
 
 42.81 
 
 89 
 
 90 
 
 79.47 
 
 42.25 
 
 79.28 
 
 42.60 
 
 79.09 
 
 42.94 
 
 78.91 
 
 43.29 
 
 90 
 
 91 
 
 80.31T 
 
 42.72 
 
 80.16 
 
 43.07 
 
 79.97 
 
 43.42 
 
 79.78 
 
 43.77 
 
 91 
 
 92 
 
 81.23 
 
 43.19 
 
 81.04 
 
 43.55 
 
 80.85 
 
 43.90 
 
 80.66 
 
 44.25 
 
 92 
 
 93 
 
 82.11 
 
 43.66 
 
 81.92 
 
 44.02 
 
 81.73 
 
 44.38 
 
 81.54 
 
 44.73 
 
 93 
 
 94 
 
 83.00 
 
 44.13 
 
 82.80 
 
 44.49 
 
 82.61 
 
 44.85 
 
 82.41 
 
 45.21 
 
 94 
 
 95 
 
 83.88 
 
 44.60 
 
 83.68 
 
 44.97 
 
 83.49 
 
 45.33 
 
 83.29 
 
 45.69 
 
 95 
 
 96 
 
 84.76 
 
 45.07 
 
 84.57 
 
 45.44 
 
 84.37 
 
 45.81 
 
 84.17 
 
 46.17 
 
 96 
 
 97 
 
 85.65 
 
 45.54 
 
 85.45 
 
 45.91 
 
 85.25 
 
 46.28 
 
 85.04 
 
 46.66 
 
 97 
 
 98 
 
 86.53 
 
 46.01 
 
 86.33 
 
 46.39 
 
 86.12 
 
 46.76 
 
 85.92 
 
 47.14 
 
 98 
 
 99 
 
 87.41 
 
 46.48 
 
 87.21 
 
 46.86 
 
 87.00 
 
 47.24 
 
 86.80 
 
 47.62 
 
 99 
 
 100 
 
 88.29 
 
 46.95 
 
 88.09 
 
 47.33 
 
 87.88 
 
 47.72 
 
 87.67 
 
 48.10 
 
 100 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 3 
 
 
 
 
 
 1 
 
 Q 
 
 62 Deg. 
 
 6 If Deg. 
 
 61i Deg. 
 
 6H Deg. 
 
 3 
 
 11 
 
60 
 
 TRAVERSE TOUSLE. 
 
 i 
 
 29 Deg. 
 
 294 Deg. 
 
 29i Deg. 
 
 29| Deg. 
 
 f 
 
 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 
 
 i 
 
 0.87 
 
 0.48 
 
 0.87 
 
 0.49 
 
 0.87 
 
 0.491 
 
 0.87 
 
 0.50 
 
 ~T 
 
 2 
 
 1.75 
 
 0.97 
 
 1.74 
 
 0.98 
 
 1.74 
 
 0.98 
 
 1.74 
 
 0.99 
 
 2 
 
 3 
 
 2.62 
 
 1.45 
 
 2.62 
 
 1.47 
 
 2.61 
 
 1.48 
 
 2.60 
 
 1.49 
 
 3 
 
 4 
 
 3.50 
 
 1.94 
 
 3.49 
 
 1.95 
 
 3.48 
 
 1.97 
 
 3.47 
 
 1.98 
 
 4 
 
 5 
 
 4.37 
 
 2.42 
 
 4.36 
 
 2.44 
 
 4.35 
 
 2.46 
 
 4.34 
 
 2.48 
 
 5 
 
 6 
 
 5.25 
 
 2.91 
 
 5.23 
 
 2.93 
 
 5.22 
 
 2.95 
 
 5.21 
 
 2.98 
 
 6 
 
 7 
 
 6.12 
 
 3.39 
 
 6.11 
 
 3.42 
 
 6.09 
 
 3.45 
 
 6.08 
 
 3.47 
 
 7 
 
 8 
 
 7.00 
 
 3.88 
 
 6.98 
 
 3.91 
 
 6.96 
 
 3.94 
 
 6.95 
 
 3.97 
 
 8 
 
 9 
 
 7.87 
 
 4.36 
 
 7.85 
 
 4.40 
 
 7.83 
 
 4.43 
 
 7.81 
 
 4.47 
 
 9 
 
 10 
 
 8.75 
 
 4.85 
 
 8.72 
 
 4.89 
 
 8.70 
 
 4,92 
 
 8.68 
 
 4.96 
 
 10 
 
 11 
 
 9.62 
 
 5.33 
 
 9.60 
 
 5.37 
 
 9.57 
 
 5.42 
 
 9.55 
 
 5.46 
 
 11 
 
 12 
 
 10.50 
 
 5.82 
 
 10.47 
 
 5.86 
 
 10.44 
 
 5.91 
 
 10.42 
 
 5.95 
 
 12 
 
 13 
 
 11.37 
 
 6.30 
 
 11.34 
 
 6.35 
 
 11.31 
 
 6.40 
 
 11.29 
 
 6.45 
 
 13 
 
 14 
 
 12.24 
 
 6.79 
 
 12.21 
 
 6.84 
 
 12.18 
 
 6.89 
 
 12.15 
 
 6.95 
 
 14 
 
 15 
 
 13.12 
 
 7.27 
 
 13.09 
 
 7.33 
 
 13.06 
 
 7.39 
 
 13.02 
 
 7.44 
 
 15 
 
 16 
 
 13.99 
 
 7.76 
 
 13.96 
 
 7.82 
 
 13.93 
 
 7.88 
 
 13.89 
 
 7.94 
 
 16 
 
 17 
 
 1.4.87 
 
 8.24 
 
 14.83 
 
 8.31 
 
 14.80 
 
 8.37 
 
 14.76 
 
 8.44 
 
 17 
 
 18 
 
 15.74 
 
 8.73 
 
 15.70 
 
 8.80 
 
 15.67 
 
 8.86 
 
 15.63 
 
 8.93 
 
 18 
 
 19 
 
 16.62 
 
 9.21 
 
 16.58 
 
 9.28 
 
 16.54 
 
 9.36 
 
 16.50 
 
 9.43 
 
 19 
 
 20 
 
 17.49 
 
 9.70 
 
 17.45 
 
 9.77 
 
 17.41 
 
 9.85 
 
 17.36 
 
 9.92 
 
 20 
 
 21 
 
 18.37 
 
 10.18 
 
 18.32 
 
 10.26 
 
 18.28 
 
 10.34 
 
 18.23 
 
 10.42 
 
 21 
 
 22 
 
 19.24 
 
 10.67 
 
 19.19 
 
 10.75 
 
 19.15 
 
 10.83 
 
 19.10 
 
 10.92 
 
 22 
 
 23 
 
 20.12 
 
 11.15 
 
 20.07 
 
 11.24 
 
 20.02- 
 
 11.33 
 
 19.97 
 
 11.41 
 
 23 
 
 24 
 
 20.99 
 
 11.64 
 
 20.94 
 
 11.73 
 
 20.89 
 
 11.82 
 
 20.84 
 
 11.91 
 
 24 
 
 25 
 
 21.87 
 
 12.12 
 
 21.81 
 
 12.22 
 
 21.76 
 
 12.31 
 
 21.70 
 
 12.41 
 
 25 
 
 26 
 
 22.74 
 
 12.60 
 
 22.68 
 
 12.70 
 
 22.63 
 
 12.80 
 
 22.57 
 
 12.90 
 
 26 
 
 27 
 
 23.61 
 
 13.09 
 
 23.56 
 
 13.19 
 
 23.50 
 
 13.30 
 
 23.44 
 
 13.40 
 
 27 
 
 28 
 
 24.49 
 
 13.57 
 
 24.43 
 
 13.68 
 
 24.37 
 
 13.79 
 
 24.31 
 
 13.89 
 
 28 
 
 29 
 
 25.36 
 
 14.06 
 
 25.30 
 
 14.17 
 
 25.24 
 
 14.28 
 
 25.18 
 
 14.39 
 
 29 
 
 30 
 
 26.24 
 
 14.54 
 
 26.17 
 
 14.66 
 
 26.11 
 
 14.77 
 
 26.05 
 
 14.89 
 
 30 
 
 31 
 
 27.11 
 
 15.03 
 
 27.05 
 
 15.15 
 
 26.98 
 
 15.27 
 
 26.91 
 
 15.38 
 
 31 
 
 32 
 
 27.99 
 
 15.51 
 
 27.92 
 
 15.64 
 
 27.85 
 
 15.76 
 
 27.78 
 
 15.88 
 
 32 
 
 33 
 
 28.86 
 
 16.00 
 
 28.79 
 
 16.12 
 
 28.72 
 
 16.25 
 
 28.65 
 
 16.38 
 
 33 
 
 34 
 
 29.74 
 
 16.48 
 
 29.66 
 
 16.61 
 
 29.59 
 
 16.74 
 
 29.52 
 
 16.87 
 
 34 
 
 35 
 
 30.61 
 
 16.97 
 
 30.54 
 
 17.10 
 
 30.46 
 
 17.23 
 
 30.39 
 
 17.37 
 
 35 
 
 36 
 
 31.49 
 
 17.45 
 
 31.41 
 
 17.59 
 
 31.33 
 
 17.73 
 
 31.26 
 
 17.86 
 
 36 
 
 37 
 
 32.36 
 
 17.94 
 
 32.28 
 
 18.08 
 
 32.20 
 
 18.22 
 
 32.12 
 
 18.36 
 
 37 
 
 38 
 
 33.24 
 
 18.42 
 
 33.15 
 
 18.57 
 
 33. 07 
 
 18.71 
 
 32.99 
 
 18.86 
 
 38 
 
 39 
 
 34.11 
 
 18.91 
 
 34.03 
 
 19.06 
 
 33.94 
 
 19.20 
 
 33.86 
 
 19.35 
 
 39 
 
 40 
 
 34.98 
 
 19.39 
 
 34.90 
 
 19.54 
 
 34.81 
 
 19.70 
 
 34.73 
 
 19.85 
 
 40 
 
 41 
 
 35.86 
 
 19.88 
 
 35.77 
 
 20.03 
 
 35.68 
 
 20.19 
 
 35.60 
 
 20.34 
 
 41 
 
 42 
 
 36.73 
 
 20.36 
 
 36.64 
 
 20.52 
 
 36.55 
 
 20.68 
 
 36.46 
 
 20.84 
 
 42 
 
 43 
 
 37.61 
 
 20.85 
 
 37.52 
 
 21.01 
 
 37.43 
 
 21.17 
 
 37.33 
 
 21.34 
 
 43 
 
 44 
 
 38.48 
 
 21.33 
 
 38.39 
 
 21.50 
 
 38.30 
 
 21.67 
 
 38.20 
 
 21.83 
 
 44 
 
 45 
 
 39.36 
 
 21.82 
 
 39.26 
 
 21.99 
 
 39.17 
 
 22.16 
 
 39.07 
 
 22.33 
 
 45 
 
 46 
 
 40.23 
 
 22.30 
 
 40.13 
 
 22.48 
 
 40.04 
 
 22.65 
 
 39.94 
 
 22.83 
 
 46 
 
 47 
 
 41.11 
 
 22.79 
 
 41.01 
 
 22.97 
 
 40.91 
 
 23.14 
 
 40.81 
 
 23.32 
 
 47 
 
 48 
 
 41.98 
 
 23.27 
 
 41.88 
 
 23.45 
 
 41.78 
 
 23.63 
 
 41.67 
 
 23.82 
 
 48 
 
 49 
 
 42.86 
 
 23.76 
 
 42.75 
 
 23.94 
 
 42.65 
 
 24.13 
 
 42.54 
 
 24.31 
 
 49 
 
 5_0_ 
 
 43.73 
 
 24.24 
 
 43.62 
 
 24.43 
 
 43.52 
 
 24.62 
 
 43.41 
 
 24.8! 
 
 50 
 
 & 
 o 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat, 
 
 a 
 o 
 
 c 
 
 ei 
 
 3 
 
 61 Deg. 
 
 60| Deg. 
 
 60^ Deg. 
 
 604 Deg. 
 
 "7 
 
 3 
 
TRAVERSE TABLE 
 
 6i 
 
 2 
 
 on 
 
 29 Deg. 
 
 29i Deg. 
 
 29 Deg. 
 
 29| Deg. 
 
 I 
 
 tance. 
 
 
 
 
 
 P 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 51 
 
 44.61 
 
 24.73 
 
 44,50 
 
 24.92 
 
 44.39 
 
 25.11 
 
 44.28 
 
 25.31 
 
 51 
 
 52 
 
 45.48 
 
 25.21 
 
 45.37 
 
 25.41 
 
 45.26 
 
 25.61 
 
 45.15 
 
 25.80 
 
 52 
 
 53 
 
 46.35 
 
 25.69 
 
 46.24 
 
 25.90 
 
 46.13 
 
 26.10 
 
 46.01 
 
 26.30 
 
 53 
 
 54 
 
 47.23 
 
 26.18 
 
 47.11 
 
 26.39 
 
 47.00 
 
 26.59 
 
 46.88 
 
 26.80 
 
 54 
 
 55 
 
 48.10 
 
 26.66 
 
 47.99 
 
 26.87 
 
 47.87 
 
 27.08 
 
 47.75 
 
 27.29 
 
 55 
 
 56 
 
 48.98 
 
 27.15 
 
 48.86 
 
 27.36 
 
 48.74 
 
 27.58 
 
 48.62 
 
 27.79 
 
 56 
 
 57 
 
 49.85 
 
 ^7.63 
 
 49.73 
 
 27.85 
 
 49.61 
 
 28.07 
 
 49.49 
 
 28.28 
 
 57 
 
 58 
 
 50.73 
 
 28.12 
 
 50.60 
 
 28.34 
 
 50.48 
 
 28.56 
 
 50.36 
 
 28.78 
 
 58 
 
 59 
 
 51.60 
 
 28.60 
 
 51.48 
 
 28.83 
 
 51.35 
 
 29.05 
 
 51.22 
 
 29.28 
 
 59 
 
 60 
 
 52.48 
 
 29.09 
 
 52.35 
 
 29.32 
 
 52.22 
 
 29.55 
 
 52.09 
 
 29.77 
 
 60 
 
 61 
 
 53.35 
 
 29 . 57 
 
 53,22 
 
 29.81 
 
 53.09 
 
 30.04 
 
 52.96 
 
 30.27 
 
 61 
 
 62 
 
 54.23 
 
 30.06 
 
 54.09 
 
 30.29 
 
 53.96 
 
 30.53 
 
 53.83 
 
 30.77 
 
 62 
 
 63 
 
 55.10 
 
 30.54 
 
 54.97 
 
 30.78 
 
 54.83 
 
 SI. 02 
 
 54.70 
 
 31.26 
 
 63 
 
 64 
 
 55.98 
 
 31.03 
 
 55.84 
 
 31.27 
 
 55.70 
 
 31.52 
 
 55.56 
 
 31.76 
 
 64 
 
 65 
 
 56.85 
 
 31.51 
 
 56.71 
 
 31.76 
 
 56.57 
 
 32.01 
 
 56.43 
 
 32.25 
 
 65 
 
 66 
 
 57.72 
 
 32.00 
 
 57.58 
 
 32.25 
 
 57.44 
 
 32.50 
 
 57.30 
 
 32.75 
 
 66 
 
 67 
 
 58.60 
 
 32.48 
 
 58.46 
 
 32.74 
 
 58.31 
 
 32.99 
 
 58.17 
 
 33.55 
 
 67 
 
 68 
 
 59.47 
 
 32.97 
 
 59.33 
 
 33.23 
 
 59.18 
 
 33.48 
 
 59.04 
 
 33.74 
 
 68 
 
 69 
 
 60.35 
 
 33.45 
 
 60.20 
 
 33.71 
 
 60.05 
 
 33.98 
 
 59.91 
 
 34.24 
 
 69 
 
 70 
 
 61.22 
 
 33,94 
 
 61.07 
 
 34.20 
 
 60.92 
 
 34.47 
 
 60.77 
 
 34.74 
 
 70 
 
 71 
 
 62.10 
 
 34.42 
 
 61.95 
 
 34.69 
 
 61.80 
 
 34.96 
 
 61.64 
 
 35.23 
 
 71 
 
 72 
 
 62.97 
 
 34.91 
 
 62.82 
 
 35.18 
 
 62.67 
 
 35,45 
 
 62.51 
 
 35.73 
 
 72 
 
 73 
 
 63.85 
 
 35.39 
 
 63.69 
 
 35.67 
 
 63.54 
 
 35.95 
 
 63.38 
 
 36.22 
 
 73 
 
 74 
 
 64.72 
 
 35.88 
 
 64.56 
 
 36.16 
 
 64.41 
 
 36.44 
 
 64.25 
 
 36.72 
 
 74 
 
 75 
 
 65.60 
 
 36.36 
 
 65.44 
 
 36.65 
 
 65.28 
 
 36.93 
 
 65.11 
 
 37.22 
 
 75 
 
 76 
 
 66.47 
 
 36.85 
 
 66.31 
 
 37.14 
 
 66.15 
 
 37.42 
 
 65.98 
 
 37.71 
 
 76 
 
 77 
 
 67.35 
 
 37.33 
 
 67.18 
 
 37.62 
 
 67.02 
 
 37.92 
 
 66.85 
 
 38.21 
 
 77 
 
 78 
 
 68.22 
 
 37.82 
 
 68,05 
 
 38.11 
 
 67.89 
 
 38.41 
 
 67.72 
 
 38.70 
 
 78 
 
 79 
 
 69.09 
 
 38.30 
 
 68.93 
 
 38.60 
 
 68.76 
 
 38.90 
 
 68.59 
 
 39.20 
 
 79 
 
 80 
 
 69.97 
 
 38,78 
 
 69.80 
 
 39.09 
 
 69.63 
 
 39.39 
 
 69.46 
 
 39.70 
 
 80 
 
 81 
 
 70.84 
 
 39.27 
 
 70.67 
 
 39.58 
 
 70.50 
 
 39.89 
 
 70.32 
 
 40.19 
 
 81 
 
 82 
 
 71.72 
 
 39.75 
 
 71.54 
 
 40.07 
 
 71.37 
 
 40.38 
 
 71.19 
 
 40.69 
 
 82 
 
 83 
 
 72.59 
 
 40.24 
 
 72.42 
 
 40.56 
 
 72.24 
 
 40.87 
 
 72.06 
 
 41.19 
 
 83 
 
 84 
 
 73.47 
 
 40.72 
 
 73.29 
 
 41.04 
 
 73.11 
 
 41.36 
 
 72.93 
 
 41.68 
 
 84 
 
 85 
 
 74.34 
 
 41.21 
 
 74.16 
 
 41.53 
 
 73.98 
 
 41.86 
 
 73.80 
 
 42.18 
 
 85 
 
 86 
 
 75.22 
 
 41.69 
 
 75.03 
 
 42.02 
 
 74.85 
 
 42.35 
 
 74.67 
 
 42.67 
 
 86 
 
 87 
 
 76.09 
 
 42.18 
 
 75.91 
 
 42.51 
 
 75.72 
 
 42.84 
 
 75.53 
 
 43.17 
 
 87 
 
 88 
 
 76.97 
 
 42.65 
 
 76.78 
 
 43.00 
 
 76.59 
 
 43.33 
 
 76.40 
 
 43.67 
 
 88 
 
 89 
 
 77.84 
 
 43.15 
 
 77.65 
 
 43.49 
 
 77.46 
 
 43.83 
 
 77.27 
 
 44.16 
 
 89 
 
 90 
 
 78.72 
 
 43.63 
 
 78.52 
 
 43.98 
 
 78.33 
 
 44.32 
 
 78.14 
 
 44.66 
 
 90 
 
 91 
 
 79 . 59 
 
 44.12 
 
 79.40 
 
 44.46 
 
 79.20 
 
 44.81 
 
 79.01 
 
 45.16 
 
 91 
 
 92 
 
 80.46 
 
 44.60 
 
 80.27 
 
 44.95 
 
 80.07 
 
 45.30 
 
 79.87 
 
 45.65 
 
 92 
 
 93 
 
 81.34 
 
 45.09 
 
 81.14 
 
 45.44 
 
 80.94 
 
 45.80 
 
 80.74 
 
 46.15 
 
 93 
 
 94 
 
 82.21 
 
 45.57 
 
 82.01 
 
 45.93 
 
 81.81 
 
 46.29 
 
 81.61 
 
 46.64 
 
 94 
 
 95 
 
 83.09 
 
 46.06 
 
 82.89 
 
 46,42 
 
 82.68 
 
 46.78 
 
 82.48 
 
 47.14 
 
 95 
 
 96 
 
 83.96 
 
 46.54 
 
 83.76 
 
 46.91 
 
 83.55 
 
 47.27 
 
 83.35 
 
 47.64 
 
 96 
 
 97 
 
 84.84 
 
 47.03 
 
 84.63 
 
 47.40 
 
 84.42 
 
 47.77 
 
 84.22 
 
 48.13 
 
 97 
 
 98 
 
 85.71 
 
 47.51 
 
 85,50 
 
 47.88 
 
 85.29 
 
 48.26 
 
 85.08 
 
 48.63 
 
 98 
 
 99 
 
 86.59 
 
 48.00 
 
 86.38 
 
 48.37 
 
 86.17 
 
 48.75 
 
 85.95 
 
 49.13 
 
 99 
 
 100 
 
 87.46 
 
 48.48 
 
 87. 2f 
 
 48.86 
 
 87.04 
 
 49.24 
 
 86.82 
 
 49.62 
 
 100 
 
 | 
 
 Dep. 
 
 Lat 
 
 Dep 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 !'" 
 
 Q 
 
 61 Deg. 
 
 60| Deg. 
 
 60| Deg. 
 
 60i Deg. 
 
 3 
 
 
 
 
 
 i 
 
62 
 
 TRAVERSE TABLE. 
 
 1 
 
 30 Deg. 
 
 30i Deg. 
 
 30| Deg. 
 
 30| Deg. 
 
 d 
 
 sr 
 
 i 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 s 
 o 
 
 ra 
 
 i 
 
 0.87 
 
 0.50 
 
 0.86 
 
 0.50 
 
 (K86 
 
 0.51 
 
 0.86 
 
 0.51 
 
 1 
 
 2 
 
 1.73 
 
 1.00 
 
 1.73 
 
 1.01 
 
 1.72 
 
 1.02 
 
 1.72 
 
 1.02 
 
 2 
 
 3 
 
 2.60 
 
 1.50 
 
 2.59 
 
 K51 
 
 2.58 
 
 1.52 
 
 2.58 
 
 1.53 
 
 3 
 
 4 
 
 3.46 
 
 2.00 
 
 3.46 
 
 2.02 
 
 3.45 
 
 2.03 
 
 3.44 
 
 2.05 
 
 4 
 
 5 
 
 4.33 
 
 2.50 
 
 4.32 
 
 2.52 
 
 4.31 
 
 2.54 
 
 4.30 
 
 2.56 
 
 5 
 
 6 
 
 5.20 
 
 3.00 
 
 5.18 
 
 3.02 
 
 5.17 
 
 3.05 
 
 5.16 
 
 3.07 
 
 6 
 
 7 
 
 6.06 
 
 3.50 
 
 6.05 
 
 3.53 
 
 6.03 
 
 3.55 
 
 6.02 
 
 3.58 
 
 7 
 
 8 
 
 6.93 
 
 4.00 
 
 6.91 
 
 4.03 
 
 6.89 
 
 4.06 
 
 6.88 
 
 4.09 
 
 8 
 
 9 
 
 7.79 
 
 4.50 
 
 7.77 
 
 4.53 
 
 7.75 
 
 4.57 
 
 7.73 
 
 4.60 
 
 9 
 
 10 
 
 8.66 
 
 5.00 
 
 8.64 
 
 5.04 
 
 8.62 
 
 5.08 
 
 8.59 
 
 5.11 
 
 10 
 
 11 
 
 9.53 
 
 5.50 
 
 9.50 
 
 5.54 
 
 9.48 
 
 5.58 
 
 9.45 
 
 5.62 
 
 11 
 
 12 
 
 10.39 
 
 6.00 
 
 10.37 
 
 6.05 
 
 10.34 
 
 6.09 
 
 10.31 
 
 6.14 
 
 12 
 
 13 
 
 11.26 
 
 6.50 
 
 11.23 
 
 6.55 
 
 11.20 
 
 6.60 
 
 11.17 
 
 6.65 
 
 13 
 
 14 
 
 12.12 
 
 7.00 
 
 12.09 
 
 7.05 
 
 12.06 
 
 7.11 
 
 12.03 
 
 7.16 
 
 14 
 
 15 
 
 12.99 
 
 7.50 
 
 12.96 
 
 7.56 
 
 12.92 
 
 7.61 
 
 12.89 
 
 7.67 
 
 15 
 
 16 
 
 13.86 
 
 8.00 
 
 13.82 
 
 8.06 
 
 13.79 
 
 8.12 
 
 13.75 
 
 8.18 
 
 16 
 
 17 
 
 14.72 
 
 8.50 
 
 14.69 
 
 8.56 
 
 14.65 
 
 8.63 
 
 14.61 
 
 8.69 
 
 17 
 
 18 
 
 15.59 
 
 9.00 
 
 15.55 
 
 9.07 
 
 15.51 
 
 9.14 
 
 15.47 
 
 9.20 
 
 18 
 
 19 
 
 16.45 
 
 9.50 
 
 16.41 
 
 9.57 
 
 16.37 
 
 9.64 
 
 16.33 
 
 9.71 
 
 19 
 
 20 
 
 17.32 
 
 10.00 
 
 17.28 
 
 10.08 
 
 17.23 
 
 10.15 
 
 17.19 
 
 10.23 
 
 20 
 
 21 
 
 18.19 
 
 10.50 
 
 18.14 
 
 10.58 
 
 18.09 
 
 10.66 
 
 18.05 
 
 10.74 
 
 21 
 
 22 
 
 19.05 
 
 11.00 
 
 19.00 
 
 11.08 
 
 18.96 
 
 11.17 
 
 18.91 
 
 11.25 
 
 22 
 
 23 
 
 19.92 
 
 11.50 
 
 19.87 
 
 11.59 
 
 19.82 
 
 11'. 67 
 
 19.77 
 
 11.76 
 
 23 
 
 24 
 
 20.78 
 
 12.00 
 
 20.73 
 
 12.09 
 
 20.68 
 
 12.18 
 
 20.63 
 
 12.27 
 
 24 
 
 25 
 
 21.65 
 
 12.50 
 
 21.60 
 
 12.59 
 
 21.54 
 
 12.69 
 
 21.49 
 
 12.78 
 
 25 
 
 26 
 
 22.52 
 
 13.00 
 
 22.46 
 
 13.10 
 
 22.40 
 
 13.20 
 
 22.34 
 
 13.29 
 
 26 
 
 27 
 
 23.38 
 
 13.50 
 
 23.32 
 
 13.60 
 
 23.26 
 
 13.70 
 
 23.20 
 
 13.80 
 
 27 
 
 28 
 
 24.25 
 
 14.00 
 
 24.19 
 
 14.11 
 
 24.13 
 
 14.21 
 
 24.06 
 
 14.32 
 
 28 
 
 29 
 
 25.11 
 
 14.50 
 
 25.05 
 
 14.61 
 
 24.99 
 
 14.72 
 
 24.92 
 
 14.83 
 
 29 
 
 30 
 
 25.98 
 
 15.00 
 
 25.92 
 
 15.11 
 
 25.85 
 
 15.23 
 
 25 . 78 
 
 15.34 
 
 30 
 
 31 
 
 26.85 
 
 15.50 
 
 26.78 
 
 15.62 
 
 26.71 
 
 15.73 
 
 26.64 
 
 15.85 
 
 31 
 
 32 
 
 27.71 
 
 16.00 
 
 27.64 
 
 16.12 
 
 27.57 
 
 16.24 
 
 27.50 
 
 16.36 
 
 32 
 
 33 
 
 28.58 
 
 16.50 
 
 28.51 
 
 16.62 
 
 28.43 
 
 16.75 
 
 28.36 
 
 16.87 
 
 33 
 
 34 
 
 29.44 
 
 17.00 
 
 29.37 
 
 17.13 
 
 29.30 
 
 17.26 
 
 29.22 
 
 17.38 
 
 34 
 
 35 
 
 30.31 
 
 17.50 
 
 30.23 
 
 17.63 
 
 30.16 
 
 17.76 
 
 30 . 08 
 
 17.90 
 
 35 
 
 36 
 
 31.18 
 
 18.00 
 
 31.10 
 
 18.14 
 
 31.02 
 
 18.27 
 
 30.94 
 
 18.41 
 
 36 
 
 37 
 
 32.04 
 
 18 30 
 
 31.96 
 
 18.64 
 
 31.88 
 
 18.78 
 
 31.80 
 
 18.92 
 
 37 
 
 38 
 
 32.91 
 
 19.00 
 
 32.83 
 
 19.14 
 
 32.74 
 
 19.29 
 
 32.66 
 
 19.43 
 
 38 
 
 39 
 
 33.77 
 
 19.50 
 
 33.69 
 
 19.65 
 
 33.60 
 
 19.79 
 
 33.52 
 
 19.94 
 
 39 
 
 40 
 
 34.64 
 
 20.00 
 
 34.55 
 
 20.15 
 
 34.47 
 
 20.30 
 
 34.38 
 
 20.45 
 
 40 
 
 41 
 
 35.51 
 
 20.50 
 
 35.42 
 
 20.65 
 
 35.33 
 
 20.81 
 
 35.24 
 
 20.96 
 
 41 
 
 42 
 
 36.37 
 
 21.00 
 
 36.28 
 
 21.16 
 
 36.19 
 
 21.32 
 
 36.10 
 
 21.47 
 
 42 
 
 43 
 
 37.24 
 
 21.50 
 
 37.14 
 
 21.66 
 
 37.05 
 
 21.82 
 
 36.95 
 
 21.99 
 
 43 
 
 44 
 
 38.11 
 
 22.00 
 
 38.01 
 
 22.17 
 
 37.91 
 
 22.33 
 
 37.81 
 
 22.50 
 
 44 
 
 45 
 
 38.97 
 
 22.50 
 
 38.87 
 
 22.67 
 
 38 . 77 
 
 22.84 
 
 38.67 
 
 23.01 
 
 45 
 
 46 
 
 39.84 
 
 23.00 
 
 39.74 
 
 23.17 
 
 39.63 
 
 23.35 
 
 39.53 
 
 23.52 
 
 46 
 
 47 
 
 40.70 
 
 23.50 
 
 40.60 
 
 23.68 
 
 40.50 
 
 23.85 
 
 40.39 
 
 24.03 
 
 47 
 
 48 
 
 41.57 
 
 24.00 
 
 41.46 
 
 24.18 
 
 41.36 
 
 24.36 
 
 41.25 
 
 24.54 
 
 48 
 
 49 
 
 42.44 
 
 24.50 
 
 42.33 
 
 24.68 
 
 42.22 
 
 24.87 
 
 42 . 1 1 
 
 25.05 
 
 49 
 
 50 
 
 43.30 
 
 25.00 
 
 43.19 
 
 25.19 
 
 43.08 
 
 25.38 
 
 42 . 97 
 
 25.56 
 
 50 
 
 | 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 o 
 
 c 
 
 Q 
 
 60 Deg. 
 
 59| Deg. 
 
 59} Deg. 
 
 59i Deg. 
 
 Q 
 
TRAVERSE TABLE. 
 
 63 
 
 o 
 
 x 
 p" 
 
 30 Deg. 
 
 30* Deg. 
 
 30i Deg. 
 
 30 ; Deg. 
 
 d 
 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 P 
 
 ~51 
 
 44.17 
 
 25.50 
 
 44.06 
 
 25 . 69 
 
 43.94 
 
 25.88 
 
 43.83 
 
 26.08 
 
 51 
 
 52 
 
 45.03 
 
 26.00 
 
 44.92 
 
 26.20 
 
 44.80 
 
 26.39 
 
 44.69 
 
 26.59 
 
 52 
 
 53 
 
 45.90 
 
 26.50 
 
 45.78 
 
 26.70 
 
 45.67 
 
 26.90 
 
 45.55 
 
 27.10 
 
 53 
 
 54 
 
 46 . 77 
 
 27.00 
 
 46.65 
 
 27.20" 
 
 46.53 
 
 27.41 
 
 46.41 
 
 27.61 
 
 54 
 
 55 
 
 47.63 
 
 27.50 
 
 47.51 
 
 27.71 
 
 47.39 
 
 27.91 
 
 47.27 
 
 28.12 
 
 55 
 
 56 
 
 48.50 
 
 28.00 
 
 48.37 
 
 28.21 
 
 48.25 
 
 28.42 
 
 48.13 
 
 28.63 
 
 56 
 
 57 
 
 49.36 
 
 28.50 
 
 49.24 
 
 28.72 
 
 49.11 
 
 28.93 
 
 48.99 
 
 29.14 
 
 57 
 
 58 
 
 50.23 
 
 29.00 
 
 50.10 
 
 29.22 
 
 49.97 
 
 29.44 
 
 49.85 
 
 29.65 
 
 58 
 
 59 
 
 51.10 
 
 29.50 
 
 50.97- 
 
 29.72 
 
 50.84 
 
 29 . 94 
 
 50.70 
 
 30.17 
 
 59 
 
 80 
 
 51.96 
 
 3U.OO 
 
 51.83 
 
 30.23 
 
 51.70 
 
 30.45 
 
 51.56 
 
 30.68 
 
 60 
 
 61 
 
 52 . 83 
 
 30.50 
 
 52.69 
 
 30.73 
 
 52.56 
 
 30.96 
 
 52.42 
 
 31.19 
 
 61 
 
 62 
 
 53.69 
 
 31.00 
 
 53.56 
 
 31.23 
 
 53.42 
 
 31.47 
 
 53.28 
 
 31.70 
 
 62 
 
 63 
 
 54.56 
 
 31.50 
 
 54.42 
 
 31.74 
 
 54.28 
 
 31.97 
 
 54.14 
 
 32.21 
 
 63 
 
 64 
 
 55.43 
 
 32.00 
 
 55.29 
 
 32 . 24 
 
 55.14 
 
 32.48 
 
 55.00 
 
 32.72 
 
 4 
 
 65 
 
 56.29 
 
 32.50 
 
 56.15 
 
 32.75 
 
 56.01 
 
 32.99 
 
 55.86 
 
 33.23 
 
 65 
 
 66 
 
 57.16 
 
 33.00 
 
 57.01 
 
 33.25 
 
 56.87 
 
 33.50 
 
 56.72 
 
 33.75 
 
 66 
 
 67 
 
 58 .'02 
 
 33 . 50 
 
 57.88 
 
 33.75 
 
 07.73 
 
 34.01 
 
 57.58 
 
 34.26 
 
 67 
 
 68 
 
 58.89 
 
 34.00 
 
 58.74 
 
 34.26 
 
 58.59 
 
 34.51 
 
 58.44 
 
 34.77 
 
 68 
 
 69 
 
 59.76 
 
 34.50 
 
 59.60 
 
 34.76 
 
 59.45 
 
 35.02 
 
 59.30 
 
 35.28 
 
 69 
 
 70 
 
 60.62 
 
 35.00 
 
 60.47 
 
 35.26 
 
 60.31 
 
 35.53 
 
 60.16 
 
 35.79 
 
 70 
 
 71 
 
 61.49 
 
 35.50 
 
 61.33 
 
 35.77 
 
 61.18 
 
 36.04 
 
 61.02 
 
 36.30 
 
 71 
 
 72 
 
 62.35 
 
 36.00 
 
 62.20 
 
 36.27 
 
 62,04 
 
 36.54 
 
 61.88 
 
 36.81 
 
 72 
 
 73 
 
 63.22 
 
 36.50 
 
 63.06 
 
 36.78 
 
 62.90 
 
 37.05 
 
 62.74 
 
 37.32 
 
 73 
 
 74 
 
 64.09 
 
 37.00 
 
 63 . 92 
 
 37.28 
 
 63.76 
 
 37.56 
 
 63.60 
 
 37.84 
 
 74 
 
 75 
 
 64.95 
 
 37.50 
 
 64.79 
 
 37.78 
 
 64.62 
 
 38.07 
 
 64.46 
 
 38.35 
 
 75 
 
 76 
 
 65.82 
 
 38.00 
 
 65.65 
 
 38.29 
 
 65.48 
 
 38.57 
 
 65.31 
 
 38.86 
 
 76 
 
 77 
 
 66.68 
 
 38,50 
 
 66.52 
 
 38 . 79 
 
 66.35 
 
 39.08 
 
 66,17 
 
 39.37 
 
 77 
 
 78 
 
 67.55 
 
 39.00 
 
 67.38 
 
 39.29 
 
 67.21 
 
 39.59 
 
 67.03 
 
 39.88 
 
 78 
 
 79 
 
 68.42 
 
 39.50 
 
 68.24 
 
 39.80 
 
 68.07 
 
 40.10 
 
 67.89 
 
 40.39 
 
 79 
 
 80 
 
 69.28 
 
 40.00 
 
 69.11 
 
 40.30 
 
 68.93 
 
 40.60 
 
 68.75 
 
 40.90 
 
 80 
 
 81 
 
 70.15 
 
 40.50 
 
 69.97 
 
 40.81 
 
 69.79 
 
 41.11 
 
 69.61 
 
 41.41 
 
 81 
 
 82 
 
 71.01 
 
 41.00 
 
 70.83 
 
 41.31 
 
 70.65 
 
 41.62 
 
 70.47 
 
 41.93 
 
 82 
 
 83 
 
 71.88 
 
 41.50 
 
 71.70 
 
 41.81 
 
 71 .'52 
 
 42.13 
 
 71.33 
 
 42.44 
 
 83 
 
 84 
 
 72.75 
 
 42.00 
 
 72.56 
 
 42.32 
 
 72.38 
 
 42.63 
 
 72.19 
 
 42.95 
 
 84 
 
 85 
 
 73.61 
 
 42.50 
 
 73.43 
 
 42.82 
 
 73 . 24 
 
 43.14 
 
 73.05 
 
 43.46 
 
 85 
 
 86 
 
 74.48 
 
 43.00 
 
 74.29 
 
 43.32 
 
 74.10 
 
 43.65 
 
 73.91 
 
 43.97 
 
 86 
 
 87 
 
 75.34 
 
 43.50 
 
 75.15 
 
 43.83 
 
 74.96 
 
 44.16 
 
 74.77 
 
 44.48 
 
 87 
 
 88 
 
 76.21 
 
 44.00 
 
 76.02 
 
 44.33 
 
 75.82 
 
 44.66 
 
 75.63 
 
 44.99 
 
 88 
 
 89 
 
 77.08 
 
 44.50 
 
 76.88 
 
 44.84 
 
 76.68 
 
 45.17 
 
 76.49 
 
 45.51 
 
 89 
 
 90 
 
 77.94 
 
 45.00 
 
 77.75 
 
 45.34! 
 
 77.55 
 
 45.68 
 
 77.35 
 
 46.02 
 
 90 
 
 91 
 
 78.81 
 
 45.50 
 
 78.61 
 
 45.84! 
 
 78.41 
 
 46.19 
 
 78.21 
 
 46.53 
 
 91 
 
 92 
 
 79.67 
 
 46.00 
 
 79.47 
 
 46.35 
 
 79.27 
 
 46.69 
 
 79.07 
 
 47.04 
 
 92 
 
 93 
 
 80.54 
 
 46.50 
 
 80.34 
 
 46.85 
 
 80.13 
 
 47.20 
 
 79.92 
 
 47.55 
 
 93 
 
 94 
 
 81.41 
 
 47.00 
 
 81.20 
 
 47.35 
 
 80.99 
 
 47.71 
 
 80.78 
 
 48.06 
 
 94 
 
 95 
 
 82.27 
 
 47.50 
 
 82.06 
 
 47.86 81.85 
 
 48.22 
 
 81.64 
 
 48.57 
 
 95 
 
 96 
 
 83.14 
 
 48.00 
 
 82.93 
 
 48.36 82.72 
 
 48.72 
 
 82.50 
 
 49.08 
 
 96 
 
 97 
 
 84.00 
 
 48.50 
 
 83.79 
 
 48.87 83.58 
 
 49.23 
 
 83.36 
 
 49.60 
 
 97 
 
 98 
 
 84.87 
 
 49.00 
 
 84.66 
 
 49.37 i 84.44 
 
 49 . 74 
 
 84.22 
 
 50.11 
 
 98 
 
 99 
 
 85.74 
 
 49.50 
 
 85.52 
 
 49.87 85.30 
 
 50.25 
 
 85.08 
 
 50.62 
 
 99 
 
 100 
 
 86.60 
 
 50.00 
 
 86.38 
 
 50.38 86.16 
 
 50.75 
 
 85.94 
 
 51.13 
 
 100 
 
 8 
 
 Dep. 
 
 La*. 
 
 Dep. 
 
 Lat. jl Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 rt 
 
 1 
 
 60 Deg. 
 
 59f Deg. 
 
 59i Deg. 
 
 
 59i Deg. 
 
 5 
 
 11* 
 
64 
 
 TRAVERSE TABLE. 
 
 M 
 
 31 Deg. 
 
 314 Deg. 
 
 31 i Deg. 
 
 31 1 Deg. 
 
 O 
 
 & 
 
 
 
 
 
 53' 
 ? 
 
 P 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 3 
 O 
 
 1 
 
 0.86 
 
 0.51 
 
 0.85 
 
 0.52 
 
 0.85 
 
 0.52 
 
 0.85 
 
 0.53 
 
 1 
 
 2 
 
 1.71 
 
 1.03 
 
 1.71 
 
 1.04 
 
 1.71 
 
 1.04 
 
 1,70 
 
 1,05 
 
 2 
 
 3 
 
 2.57 
 
 1.55 
 
 2.56 
 
 1.56 
 
 2.56 
 
 1.57 
 
 2.55 
 
 1.58 
 
 3 
 
 4 
 
 3.43 
 
 2.06 
 
 3.42 
 
 2.08 
 
 3.41 
 
 2.09 
 
 3.40 
 
 2.10 
 
 4 
 
 5 
 
 4.29 
 
 2.58 
 
 4.27 
 
 2.59 
 
 4.26 
 
 2.61 
 
 4.25 
 
 2.63 
 
 5 
 
 6 
 
 5.14 
 
 3.09 
 
 5.13 
 
 3.11 
 
 5.12 
 
 3.13 
 
 5.10 
 
 3.16 
 
 6 
 
 7 
 
 6.00 
 
 3.61 
 
 5.98 
 
 3.63 
 
 5.97 
 
 3.66 
 
 5.95 
 
 3.68 
 
 7 
 
 8 
 
 6.86 
 
 4.12 
 
 6.84 
 
 4.15 
 
 6.82 
 
 4.18 
 
 6.80 
 
 4.21 
 
 8 
 
 9 
 
 7.71 
 
 4.64 
 
 7.69 
 
 4.67 
 
 7.67 
 
 4.70 
 
 7.65 
 
 4.74 
 
 9 
 
 10 
 
 8.57 
 
 5.15 
 
 8.55 
 
 5.19 
 
 8.53 
 
 5.22 
 
 8.50 
 
 5.26 
 
 10 
 
 11 
 
 9.43 
 
 5.67 
 
 9.40 
 
 5.71 
 
 9.38 
 
 5.75 
 
 9.35 
 
 5.79 
 
 11 
 
 12 
 
 10.29 
 
 6.18 
 
 10.26 
 
 6.23 
 
 10.23 
 
 6.27 
 
 10.20 
 
 6.31 
 
 12 
 
 13 
 
 11.14 
 
 6.70 
 
 11.11 
 
 6.74 
 
 11.08 
 
 6.79 
 
 11.05 
 
 6.84 
 
 13 
 
 14 
 
 12.00 
 
 7.21 
 
 11.97 
 
 7.26 
 
 11.94 
 
 7.31 
 
 11.90 
 
 7.37 
 
 14 
 
 15 
 
 12.86 
 
 7.73 
 
 12.82 
 
 7.78 
 
 12.79 
 
 7.84 
 
 12.76 
 
 7.89 
 
 15 
 
 16 
 
 13.71 
 
 8.24 
 
 13.68 
 
 8,30 
 
 13.64 
 
 8.36 
 
 13.61 
 
 8.42 
 
 16 
 
 17 
 
 14.57 
 
 8.76 
 
 14.53 
 
 8.82 
 
 14.49 
 
 8.88 
 
 14.46 
 
 8.95 
 
 17 
 
 18 
 
 15.43 
 
 9.27 
 
 15.39 
 
 9.34 
 
 15.35 
 
 9.40 
 
 15.31 
 
 9.47 
 
 18 
 
 19 
 
 16.29 
 
 9.79 
 
 16.24 
 
 9.86 
 
 16.20 
 
 9.93 
 
 16.16 
 
 10.00 
 
 19 
 
 20 
 
 17.14 
 
 10.30 
 
 17.10 
 
 10.38 
 
 17.05 
 
 10.45 
 
 17.01 
 
 10.52 
 
 20 
 
 21 
 
 18.00 
 
 10.82 
 
 17.95 
 
 10.89 
 
 17.91 
 
 10.97 
 
 17.86 
 
 11.05 
 
 21 
 
 22 
 
 18.86 
 
 11.33 
 
 18.81 
 
 11.41 
 
 18.76 
 
 11.49 
 
 18.71 
 
 1 1 . 58 
 
 22 
 
 23 
 
 19.71 
 
 11.85 
 
 19.66 
 
 11.93 
 
 19.61 
 
 12.02 
 
 19.56 
 
 12.10 
 
 23 
 
 24 
 
 20.57 
 
 12.36 
 
 20.52 
 
 12.45 
 
 20.46 
 
 12.54 
 
 20,41 
 
 12.63 
 
 24 
 
 25 
 
 21.43 
 
 12.88 
 
 21.37 
 
 12.97 
 
 21.32 
 
 13.06 
 
 21.26 
 
 13.16 
 
 25 
 
 26 
 
 22.29 
 
 13.39 
 
 22.23 
 
 13.49 
 
 22.17 
 
 13,58 
 
 22.11 
 
 13.68 
 
 26 
 
 27 
 
 23.14 
 
 13.91 
 
 23.08 
 
 14.01 
 
 23.02 
 
 14.11 
 
 22.96 
 
 14.21 
 
 27 
 
 28 
 
 24.00 
 
 14.42 
 
 23.94 
 
 14.53 
 
 23.87 
 
 14.63 
 
 23.81 
 
 14.73 
 
 28 
 
 29 
 
 24.86 
 
 14.94 
 
 24.79 
 
 15.04 
 
 24.73 
 
 15.15 
 
 24.66 
 
 1 5 . 26 
 
 29 
 
 30 
 
 25.71 
 
 15.45 
 
 25.65 
 
 15.56 
 
 25.58 
 
 15.67 
 
 25.51 
 
 15.79- 
 
 30 
 
 31 
 
 26.57 
 
 15.97 
 
 26.50 
 
 16.08 
 
 26.43 
 
 16.20 
 
 26.36 
 
 16.31 
 
 31 
 
 32 
 
 27.43 
 
 16.48 
 
 27.36 
 
 16.60 
 
 27.28 
 
 16.72 
 
 27.21 
 
 16.84 
 
 32 
 
 33 
 
 28.29 
 
 17.00 
 
 28.21 
 
 17,12 
 
 28.14 
 
 17.24 
 
 28.06 
 
 17.37 
 
 33 
 
 34 
 
 29.14 
 
 17.51 
 
 29.07 
 
 17.64 
 
 28.99 
 
 17.76 
 
 28.91 
 
 17.89 
 
 3-1 
 
 35 
 
 30.00 
 
 18,03 
 
 29.92 
 
 18.16 
 
 29.84 
 
 18.29 
 
 29.76 
 
 18.42 
 
 35 
 
 36 
 
 30. 8G 
 
 18.54 
 
 30.78 
 
 18.68 
 
 30.70 
 
 18.81 
 
 30.61 
 
 18.94 
 
 36 
 
 37 
 
 31.72 
 
 19.06 
 
 31.63 
 
 19.19 
 
 31.55 
 
 19.33 
 
 31.46 
 
 19.47 
 
 37 
 
 38 
 
 32.57 
 
 19.57 
 
 32.49 
 
 19.71 
 
 32.40 
 
 19.85 
 
 32.31 
 
 20.00 
 
 38 
 
 39 
 
 33.43 
 
 20.09 
 
 33.34 
 
 20.23 
 
 33.25 
 
 20.38 
 
 33.16 
 
 20.52 
 
 39 
 
 40 
 
 34.29 
 
 20.60 
 
 34.20 
 
 20.75 
 
 34.11 
 
 20.90 
 
 34.01 
 
 21.05 
 
 40 
 
 41 
 
 35.14 
 
 21.12 
 
 35.05 
 
 21.27 
 
 34.96 
 
 21.42 
 
 34.86 
 
 21.57 
 
 41 
 
 42 
 
 36.00 
 
 21.63 
 
 35.91 
 
 21.79 
 
 35.81 
 
 21.94 
 
 35.71 
 
 22.10 
 
 42 
 
 43 
 
 36.86 
 
 22.15 
 
 36.76 
 
 22.31 
 
 36.66 
 
 22.47 
 
 36.57 
 
 22.63 
 
 43 
 
 44 
 
 37.72 
 
 22.66 
 
 37.62 
 
 22.83 
 
 37.52 
 
 22.99 
 
 37.42 
 
 23.15 
 
 44 
 
 45 
 
 38.57 
 
 23.18 
 
 38.47 
 
 23.34 
 
 38.37 
 
 23.51 
 
 38.27 
 
 23.68 
 
 45 
 
 46 
 
 39.43 
 
 23.69 
 
 39.33 
 
 23.86 
 
 39.22 
 
 24.03 
 
 39.12 
 
 24.21 
 
 46 
 
 47 
 
 40.29 
 
 24.21 
 
 40.18 
 
 24.38 
 
 40.07 
 
 24.56 
 
 39.97 
 
 24.73 
 
 47 
 
 48 
 
 41.14 
 
 24.72 
 
 41.04 
 
 24.90 
 
 40.93 
 
 25.08 
 
 40.82 
 
 25.26 
 
 48 
 
 49 
 
 42.00 
 
 25 . 24 
 
 41.89 
 
 25.42 
 
 41.78 
 
 25.60 
 
 41.67 
 
 25.78 
 
 49 
 
 50 
 
 42.86 
 
 25.75 
 
 42.75 
 
 25.94 
 
 42.63 
 
 26.12 
 
 42.52 
 
 26.31 
 
 50 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 o 
 
 a 
 
 Q 
 
 59 Deg. 
 
 58| Deg. 
 
 58i Deg. 
 
 58| Deg. 
 
 .2 
 
 P 
 
TfiAVEfcSE TAfiLE. 
 
 c 
 
 31 Deg. 
 
 314 Deg. 
 
 31^ Deg. 
 
 31| Deg. 
 
 O 
 
 p 
 
 
 
 
 
 1 
 P 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 51 
 
 43.72 
 
 26.27 
 
 43.60 
 
 26.46 
 
 43.48 
 
 26.65 
 
 43.37 
 
 26.84 
 
 51 
 
 52 
 
 44.57 
 
 26.78 
 
 44.46 
 
 26.98 
 
 44.34 
 
 27.17 
 
 44.22 
 
 27.36 
 
 52 
 
 53 
 
 45.43 
 
 27.30 
 
 45.31 
 
 27.49 
 
 45.19 
 
 27.69 
 
 45.07 
 
 27.89 
 
 53 
 
 54 
 
 46.29 
 
 27.81 
 
 46.17 
 
 28.01 
 
 46.04 
 
 28.21 
 
 45.92 
 
 28.42 
 
 54 
 
 55 
 
 47.14 
 
 28.33 
 
 47.02 
 
 28.53 
 
 46.90 
 
 28.74 
 
 46.77 
 
 28.94 
 
 55 
 
 56 
 
 48.00 
 
 28.84 
 
 47.88 
 
 29.05 
 
 47.75 
 
 29.26 
 
 47.62 
 
 29.47 
 
 56 
 
 57 
 
 48.86 
 
 29.36 
 
 48 . 73 
 
 29.57 
 
 48.60 
 
 29.78 
 
 48.47 
 
 29.99 
 
 57 
 
 58 
 
 49 . 72 
 
 29.87 
 
 49.58 
 
 30.09 
 
 49.45 
 
 30.30 
 
 49.32 
 
 30 . 52 
 
 58 
 
 59 
 
 50 . 57 
 
 30.39 
 
 50.44 
 
 30.61 
 
 50.31 
 
 30.83 
 
 50.17 
 
 31.05 
 
 59 
 
 60 
 
 51.43 
 
 30.90 
 
 51.29 
 
 31.13 
 
 51.16 
 
 31.35 
 
 51.02 
 
 31.57 
 
 60 
 
 61 
 
 52.29 
 
 31.42 
 
 52.15 
 
 31.65 
 
 52.01 
 
 31.87 
 
 51.87 
 
 32.10 
 
 61 
 
 62 
 
 53.14 
 
 31.93 
 
 53 . 00 
 
 32.16 
 
 52.86 
 
 32.39 
 
 52.72 
 
 32 . 63 
 
 62 
 
 63 
 
 54.00 
 
 32.45 
 
 53.86 
 
 32.68 
 
 53.72 
 
 32.92 
 
 53.57 
 
 33.15 
 
 63 
 
 64 
 
 54.86 
 
 32.96 
 
 54.71 
 
 33.20 
 
 54.57 
 
 33.44 
 
 54.42 
 
 33.68 
 
 64 
 
 65 
 
 55.72 
 
 33.48 
 
 55.57 
 
 33.72 
 
 55.42 
 
 33.96 
 
 55.27 
 
 34.20 
 
 65 
 
 66 
 
 56.57 
 
 33.99 
 
 56.42 
 
 34.24 
 
 56 . 27 
 
 34.48 
 
 56.12 
 
 34.73 
 
 66 
 
 67 
 
 57.43 
 
 34.51 
 
 57.28 
 
 34.76 
 
 57.13 
 
 35.01 
 
 56.98 
 
 35 . 26 
 
 67 
 
 68 
 
 58.29 
 
 35.02 
 
 58.13 
 
 35.28 
 
 57.98 
 
 35.53 
 
 57.82 
 
 35.78 
 
 68 
 
 69 
 
 59.14 
 
 35.54 
 
 58.99 
 
 35.80 
 
 58.83 
 
 36.05 
 
 58 . 67 
 
 36.31 
 
 69 
 
 70 
 
 60.00 
 
 36.05 
 
 59.84 
 
 36.31 
 
 59.68 
 
 36.57 
 
 59 . 52 
 
 36.83 
 
 70 
 
 71 
 
 60.86 
 
 36.57 
 
 60.70 
 
 36.83 
 
 60.54 
 
 37.10 
 
 60.37 
 
 37.36 
 
 71 
 
 72 
 
 61.72 
 
 37.08 
 
 61.55 
 
 37.35 
 
 61.39 
 
 37.62 
 
 61.23 
 
 37.89 
 
 72 
 
 73 
 
 62.57 
 
 37.60 
 
 62.41 
 
 37.87 
 
 62.24 
 
 38.14 
 
 62.08 
 
 38.41 
 
 73 
 
 74 
 
 63.43 
 
 38.11 
 
 63.26 
 
 38.39 
 
 63.10 
 
 38 . 66 
 
 62.93 
 
 38.94 
 
 74 
 
 75 
 
 64.29 
 
 38.63 
 
 64.12 
 
 38.91 
 
 63.95 
 
 39.19 
 
 63.78 
 
 39.47 
 
 75 
 
 76 
 
 65.14 
 
 39.14 
 
 64.97 
 
 39.43 
 
 64.80 
 
 39.71 
 
 64.63 
 
 39.99 
 
 76 
 
 77 
 
 66.00 
 
 39.66 
 
 65.83 
 
 39.95 
 
 65.65 
 
 40.23 
 
 65.48 
 
 40.52 
 
 77 
 
 78 
 
 66,86 
 
 40.17 
 
 66.68 
 
 40.46 
 
 66.51 
 
 40 . 75 
 
 66.33 
 
 41.04 
 
 78 
 
 79 
 
 67.72 
 
 40.69 
 
 67.54 
 
 40 . 98 
 
 67.36 
 
 41.28 
 
 67.18 
 
 41.57 
 
 79 
 
 80 
 
 G8 . 57 
 
 41.20 
 
 68 . 39 
 
 41.50 
 
 68.21 
 
 41.80 
 
 38.03 
 
 42.10 
 
 80 
 
 '81 
 
 69.43 41.72 
 
 69.25 
 
 42 . 02 
 
 69 . 06 
 
 42.32 
 
 68.88 
 
 42.62 
 
 81 
 
 82 
 
 70.29 
 
 42.23 
 
 70.10 
 
 42.54 
 
 69.92 
 
 42.84 
 
 69.73 
 
 43.15 
 
 82, 
 
 83 
 
 71.14 
 
 42.75 
 
 70.96 
 
 43.06 
 
 70 . 77 
 
 43.37 
 
 70.58 
 
 43.68 
 
 83 
 
 84 
 
 72.00 
 
 43 . 26 
 
 71.81 
 
 43.58 
 
 71.62 
 
 43.89 
 
 71.43 
 
 44.20 
 
 84 
 
 85 
 
 72.86 
 
 43 . 78 
 
 72.67 
 
 44.10 
 
 72.47 
 
 44.41 
 
 72 . 28 
 
 44 . 73 
 
 85 
 
 86 
 
 73.72 
 
 44.29 
 
 73.52 
 
 44.61 
 
 73.33 
 
 44.93 
 
 73.13 
 
 45.25 
 
 86 
 
 87 
 
 74.57 
 
 44.81 
 
 74.38 
 
 45.13 
 
 74.18 
 
 45.46 
 
 73.98 
 
 45.78 
 
 87 
 
 88 
 
 75.43 
 
 45.32 
 
 75.23 
 
 45.65 
 
 75.03 
 
 45 . 98 
 
 74.83 
 
 46.31 
 
 88 
 
 89 
 
 76.29 
 
 45.84 
 
 76.09 
 
 46.17 
 
 75.88 
 
 46.50 
 
 75.68 
 
 46.83 
 
 89 
 
 90 
 
 77.15 
 
 46.35 
 
 76.94 
 
 46.69 
 
 76 . 74 
 
 47.02 
 
 76 . 53 
 
 47 . 36 
 
 90 
 
 91 
 
 78.00 
 
 46.87 
 
 77.80 
 
 47.21 
 
 77.59 
 
 47.55 
 
 77.38 
 
 47.89 
 
 91 
 
 92 
 
 78.86 
 
 47.38 
 
 78.65 
 
 47.73 
 
 78.44 
 
 48.07 
 
 78.23 
 
 48.41 
 
 92 
 
 93 
 
 79.72 
 
 47.90 
 
 79.51 
 
 48.25 
 
 79.30 
 
 48.59 
 
 79.08 
 
 48.94 
 
 93 
 
 94 
 
 80.57 
 
 48.41 
 
 80.36 
 
 48.76 
 
 80.15 
 
 49.11 
 
 79 . 93 
 
 49.47 
 
 94 
 
 95 
 
 81.43 
 
 48.93 
 
 81.22 
 
 49 . 28 
 
 81.00 
 
 49.64 
 
 80.78 
 
 49.99 
 
 95 
 
 96 
 
 82.29 
 
 49.44 
 
 82.07 
 
 49.80 
 
 81.85 
 
 50.16 
 
 81.63 
 
 50.52 
 
 96 
 
 97 
 
 83.15 
 
 49.96 
 
 82.93 
 
 50.32 
 
 82.71 
 
 50.68 
 
 82.48 
 
 5!. 04 
 
 97 
 
 98 
 
 84.00 
 
 50.47 
 
 83 . 78 
 
 50.84 
 
 83.56 
 
 51.20 
 
 83,33 
 
 51 .57 
 
 98 
 
 99 
 
 84.86 
 
 50.99 
 
 84.64 
 
 51.36 
 
 84.41 
 
 51.73 
 
 84.18 
 
 52.10 
 
 99 
 
 100 
 
 85 . 72 
 
 51.50 
 
 85.49 
 
 51.88 
 
 85.26 
 
 52.25 
 
 85.04 
 
 52.62 
 
 100 
 
 8 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 8 
 
 d 
 
 
 
 
 
 
 
 
 
 fl 
 
 to 
 
 p 
 
 59 Deg. 
 
 58| Deg. 
 
 58 Deg. 
 
 58J Deg. 
 
 Q 
 
66 
 
 TRAVERSE TABLE. 
 
 o 
 5 
 
 32 Deg. 
 
 32i Deg. 
 
 32 Deg. 
 
 32| Deg. 
 
 q 
 
 55' 
 
 P 
 
 
 Lat. 
 
 Dep. 
 
 , Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 
 1 
 
 0.85 
 
 0.53 
 
 0.85 
 
 0.53 
 
 0.84 
 
 0.54 
 
 0.84 
 
 0.54 
 
 i 
 
 2 
 
 1.70 
 
 1.06 
 
 1.69 
 
 1.07 
 
 1.69 
 
 1.07 
 
 1.68 
 
 1.08 
 
 2 
 
 3 
 
 2.54 
 
 1.59 
 
 2.54 
 
 1.60 
 
 2.53 
 
 1.61 
 
 2.52 
 
 1.62 
 
 3 
 
 4 
 
 3.39 
 
 2.12 
 
 3.38 
 
 2.13 
 
 3.3~ 
 
 2.15 
 
 3.36 
 
 2.16 
 
 4 
 
 5 
 
 4.24 
 
 2.65 
 
 4.23 
 
 2.67 
 
 4.22 
 
 2.69 
 
 4.21 
 
 2.70 
 
 5 
 
 6 
 
 5.09 
 
 3.18 
 
 5.07 
 
 3.20 
 
 5.06 
 
 3.22 
 
 5.05 
 
 3.25 
 
 6 
 
 7 
 
 5.94 
 
 3.71 
 
 5.92 
 
 3.74 
 
 5.90 
 
 3.76 
 
 5.89 
 
 3. 79 
 
 7 
 
 8 
 
 6.78 
 
 4.24 
 
 6.77 
 
 4.27 
 
 6.75 
 
 4.30 
 
 6.73 
 
 4.33 
 
 8 
 
 9 
 
 7.63 
 
 4.77 
 
 7.61 
 
 4.80 
 
 7.59 
 
 4.84 
 
 7.57 
 
 4.87 
 
 9 
 
 10 
 
 8.48 
 
 5.30 
 
 8.46 
 
 5.34 
 
 8.43 
 
 5.37 
 
 8.41 
 
 5.41 
 
 10 
 
 11 
 
 9.33 
 
 5.83 
 
 9.30 
 
 5.87 
 
 9.28 
 
 5.91 
 
 9.25 
 
 5.95 
 
 11 
 
 12 
 
 10.18 
 
 6.36 
 
 10.15 
 
 6.40 
 
 10.12 
 
 6.45 
 
 10.09 
 
 6.49 
 
 12 
 
 13 
 
 11.02 
 
 G.89 
 
 10.99 
 
 6.94 
 
 10.96 
 
 6.98 
 
 10.93 
 
 7.03 
 
 13 
 
 14 
 
 11.87 
 
 7.42 
 
 11.84 
 
 7.47 
 
 11.81 
 
 7.52 
 
 11.77 
 
 7.57 
 
 14 
 
 15 
 
 12.72 
 
 7.95 
 
 12.69 
 
 8.00 
 
 12.65 
 
 8.06 
 
 12.62 
 
 8.11 
 
 15 
 
 16 
 
 13.57 
 
 8.48 
 
 13.53 
 
 8.54 
 
 13.49 
 
 8.60 
 
 13.46 
 
 8.66 
 
 16 
 
 17 
 
 14.42 
 
 9.01 
 
 14.38 
 
 9.07 
 
 14.34 
 
 9.13 
 
 14.30 
 
 9.20 
 
 17 
 
 18 
 
 15.26 
 
 9.54 
 
 15.22 
 
 9.61 
 
 15.18 
 
 9.67 
 
 15.14 
 
 9.74 
 
 18 
 
 19 
 
 16.11 
 
 10.07 
 
 16.07 
 
 10.14 
 
 16.02 
 
 10.21 
 
 15.98 
 
 10.28 
 
 19 
 
 20 
 
 16.96 
 
 10.60 
 
 16.91 
 
 10.67 
 
 16.87 
 
 10.75 
 
 16.82 
 
 10.82 
 
 20 
 
 21 
 
 17.81 
 
 11.13 
 
 17.76 
 
 11.21 
 
 17.71 
 
 11.28 
 
 17.66 
 
 1 1 . 36 
 
 21 
 
 22 
 
 18.66 
 
 11.66 
 
 18.61 
 
 11.74 
 
 18.55 
 
 11.82 
 
 18.50 
 
 11.90 
 
 22 
 
 23 ! 19.51 
 
 12.19 
 
 19.45 
 
 12,27 ! 19.40 
 
 12.36 
 
 19.34 
 
 12.44 
 
 23 
 
 24 
 
 20.35 
 
 12.72 
 
 20.30 
 
 12.81 
 
 20.24 
 
 12.90 
 
 20.18 
 
 12.98 
 
 24 
 
 25 
 
 21.20 
 
 13.25 
 
 21.14 
 
 13.34 
 
 21.08 
 
 13.43 
 
 21.03 
 
 13.52 
 
 25 
 
 26 
 
 22.05 
 
 13.78 
 
 21.99 
 
 13.87 
 
 21.93 
 
 13.97 
 
 21.87 
 
 14.07 
 
 26 
 
 27 
 
 22.90 
 
 14.31 
 
 22.83 
 
 14.41 
 
 22.77 
 
 14.51 
 
 22.71 
 
 14.61 
 
 27 
 
 28 
 
 23 . 75 
 
 14.84 
 
 23.68 
 
 14.94 
 
 23.61 
 
 15.04 
 
 23.55 
 
 15.15 
 
 28 
 
 29 
 
 24.59 
 
 15.37 
 
 24.53 
 
 15.47 
 
 24.46 
 
 15.58 
 
 24.39 
 
 15i69 
 
 29 
 
 30 
 
 25.44 
 
 15.90 
 
 25.37 
 
 16.01 
 
 25 . 30 
 
 16.12 
 
 25 . 23 
 
 16.23 
 
 30 
 
 31 |26.29 
 
 16.43 
 
 26.22 
 
 16.54 
 
 26.15 
 
 16.66 
 
 26.07 
 
 16.77 
 
 81 
 
 32 
 
 27.14 
 
 16.96 
 
 27.06 
 
 17.08 
 
 26.99 
 
 17.19 
 
 26.91 
 
 17.31 
 
 32 
 
 ' 33 
 
 27.99 
 
 17.49 
 
 27.91 
 
 17.61 
 
 27.83 
 
 17.73 
 
 27.75 
 
 17.85 
 
 33 
 
 34 
 
 28.83 
 
 18.02 
 
 28 . 75 
 
 18.14 
 
 28.68 
 
 18.27 
 
 28 . 60 
 
 18.39 
 
 34 
 
 35 
 
 29 . 68 
 
 18.55 
 
 29.60 
 
 18.68 
 
 29.52 
 
 18.81 
 
 29.44 
 
 18.93 
 
 35 
 
 36 
 
 30 . 53 
 
 19.08 
 
 30.45 
 
 19.21 
 
 30.36 
 
 19.34 
 
 30 . 28 
 
 19.48 
 
 30 
 
 37 
 
 31.38 
 
 19.61 
 
 31.29 
 
 19.74 
 
 31.21 
 
 19.88 
 
 31.12 
 
 20.05 
 
 37 
 
 38 
 
 32.23 
 
 20.14 
 
 32.14 
 
 20.28 
 
 32.05 
 
 20.42 
 
 31.96 
 
 20.56 
 
 38 
 
 39 
 
 33.07 
 
 20.67 [32.98 
 
 20.81 
 
 32.89 
 
 20.95 
 
 32.80 
 
 21.10 
 
 39 
 
 40 
 
 33.92 
 
 21.20 
 
 33.83 
 
 21.34 
 
 33.74 
 
 21.49 
 
 33 . 64 
 
 21.64 
 
 40 
 
 41 
 
 34.77 
 
 21.73 
 
 34.67 
 
 21.88 
 
 34.58 
 
 22.03 
 
 34.48 
 
 22.18 
 
 41 
 
 42 
 
 35.62 
 
 22.26 
 
 35.52 
 
 22.41 
 
 35.42 
 
 22.57 
 
 35 . 32 
 
 22 . 72 
 
 42 
 
 43 
 
 36.47 
 
 22.79 
 
 36 . 37 
 
 22.95 
 
 36.27 
 
 23.10 
 
 36.16 
 
 23.26 
 
 43 
 
 44137.31 
 
 23.32 
 
 37.21 
 
 23.48 
 
 37.11 
 
 23.64 
 
 37.01 
 
 23.80 
 
 44 
 
 45 
 
 38.16 
 
 23.85 
 
 38.06 
 
 24.01 
 
 37.95 
 
 24.18 
 
 37.85 
 
 24.34 
 
 45 
 
 46 
 
 39.01 
 
 24.38 
 
 38.90 
 
 24.55 
 
 38.80 
 
 24.72 
 
 38.69 
 
 24.88 
 
 46 
 
 47 
 
 3J.86 
 
 24.91 
 
 39.75 
 
 25.08 
 
 39.64 
 
 25.25 
 
 39.53 
 
 25.43 
 
 47 
 
 48 
 
 40.71 
 
 25.44 
 
 40.59 
 
 25.61 
 
 40.48 
 
 25.79 
 
 40.37 
 
 25 . 97 
 
 48 
 
 49 
 
 41.55 
 
 25.97 
 
 41.44 
 
 26.15 
 
 41.33 
 
 26.33 
 
 41.21 
 
 26.51 
 
 49 
 
 50 
 
 42.40 
 
 26.50 
 
 42.29 
 
 26 . 68 
 
 42.17 
 
 26.86 
 
 42.05 
 
 27.05 
 
 50 
 
 QJ 
 | 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 
 
 Jj 
 
 
 
 
 
 . , 
 
 
 1 
 
 
 
 
 "to 
 
 
 
 
 
 'JO 
 
 Q 
 
 58 Deg. 
 
 57| Deg. 
 
 57 Deg. 
 
 57} Deg. 
 
 b 
 
TRAVERSE TABLE. 
 
 67 
 
 j? 
 
 32 Deg. 
 
 324 Deg. 
 
 32i Deg. 
 
 32| Deg. 
 
 O 
 
 I 
 
 
 
 
 
 c* 
 
 3 
 o 
 a 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 o 
 
 CD 
 
 ~51 
 
 43.25 
 
 27.03 
 
 43.13 
 
 27.21 
 
 43.01 
 
 "2T.40" 
 
 42.89 
 
 27.59 
 
 51 
 
 52 
 
 44.10 
 
 27.56 
 
 43.98 
 
 27.75 
 
 43.86 
 
 27.94 
 
 43 . 73 
 
 28.13 
 
 52 
 
 53 
 
 44.95 
 
 28.09 
 
 44.82 
 
 28.28 
 
 44.70 
 
 28.48 
 
 44.58 
 
 28.67 
 
 53 
 
 54 
 
 45.79 
 
 28.62 
 
 45.67 
 
 28.82 
 
 45.54 
 
 29.01 
 
 45.42 
 
 29.21 
 
 54 
 
 55 
 
 46.64 
 
 29.15 
 
 46.51 
 
 29,35 
 
 46 . 39 
 
 29.55 
 
 46.26 
 
 29 . 75 
 
 55 
 
 56 
 
 47.49 
 
 29.68 
 
 47.36 
 
 29.88 
 
 47.23 
 
 30.09 
 
 47.10 
 
 30 . 29 
 
 56 
 
 57 
 
 48.34 
 
 30.21 
 
 48.21 
 
 30.42 
 
 48.07 
 
 30.63 
 
 47.94 
 
 30.84 
 
 57 
 
 58 
 
 49.19 
 
 30.74 
 
 49 . 05 
 
 30.95 
 
 48 . 92 
 
 31.16 
 
 48.78 
 
 31.38 
 
 58 
 
 59 
 
 50.03 
 
 31.27 
 
 49.90 
 
 31.48 
 
 49.76 
 
 31.70 
 
 49.62 
 
 31.92 
 
 59 
 
 60 
 
 50.88 
 
 31.80 
 
 50.74 
 
 32.02 
 
 50 . 60 
 
 32.24 
 
 50.46 
 
 32.46 
 
 60 
 
 61 
 
 51.73 
 
 32.33 
 
 51.59 
 
 32.55 
 
 51.45 
 
 32 . 78 
 
 51.30 
 
 33.00 
 
 61 
 
 62 
 
 52.58 
 
 32.85 
 
 52.44 
 
 33.08 
 
 52.29 
 
 33.31 
 
 52.14 
 
 33.54 
 
 62 
 
 63 
 
 53.43 
 
 33.38 
 
 53.28 
 
 33.62 
 
 53.13 
 
 33.85 
 
 52 . 99 
 
 34.08 
 
 63 
 
 64 
 
 54.28 
 
 33.91 
 
 54.13 
 
 34.15 
 
 53.98 
 
 34.39 
 
 53.83 
 
 34.62 
 
 64 
 
 65 
 
 55.12 
 
 34.44 
 
 54.97 
 
 34.68 
 
 54.82 
 
 34 . 92 
 
 54.67 
 
 35.16 
 
 65 
 
 66 
 
 55.97 
 
 34.97 
 
 55.82 
 
 35.22 
 
 55 . 66 
 
 35.46 
 
 55.51 
 
 35 . 70 
 
 66 
 
 67 
 
 56.82 
 
 35.50 
 
 56.66 
 
 35.75 
 
 56.51 
 
 36.00 
 
 56 . 35 
 
 36.25 
 
 67 
 
 68 
 
 57.67 
 
 36.03 
 
 57.51 
 
 36 . 29 
 
 57.35 
 
 36.54 
 
 57.19 
 
 36.79 
 
 68 
 
 69 
 
 58.52 
 
 36.56 
 
 58.36 
 
 36.82 
 
 58.19 
 
 37.07 
 
 58.03 
 
 37.33 
 
 69 
 
 70 
 
 59.36 
 
 37.09 
 
 59.20 
 
 37.35 
 
 59.04 
 
 37.61 
 
 58.87 
 
 37.87 
 
 70 
 
 71 
 
 60.21 
 
 37.62 
 
 60.05 
 
 37.89 
 
 59.88 
 
 38.15 
 
 59.71 
 
 38.41 
 
 71 
 
 72 
 
 61.06 
 
 38.15 
 
 60.89 
 
 38.42 
 
 60.72 
 
 38.69 
 
 60 . 55 
 
 38.95 
 
 72 
 
 73 
 
 61.91 
 
 38.68 
 
 61.74 
 
 38 . 95 
 
 61.57 
 
 39.22 
 
 61.40 
 
 39.49 
 
 73 
 
 74 
 
 62.76 
 
 39.21 
 
 62.58 
 
 39.49 
 
 62.41 
 
 39 . 76 
 
 62.24 
 
 40.03 
 
 74 
 
 7-5 
 
 63.60 
 
 39 . 74 
 
 63.43 
 
 40.02 
 
 63.25 
 
 40 . 30 
 
 63. OS 
 
 40.57 
 
 75 
 
 76 
 
 64.45 
 
 40.27 
 
 64.28 
 
 40.55 
 
 64.10 
 
 40.83 
 
 63.92 
 
 41.11 
 
 76 
 
 77 
 
 65.30 
 
 40.80 
 
 65.12 
 
 41.09 
 
 64.94 
 
 41.37 
 
 64.76 
 
 41.65 
 
 77 
 
 78 
 
 66.15 
 
 41.33 
 
 65.97 
 
 41.62 
 
 65.78 
 
 41.91 
 
 65 . 60 
 
 42.20 
 
 78 
 
 79 
 
 67.00 
 
 41.86 
 
 66.81 
 
 42.16 
 
 66 . 63 
 
 42.45 
 
 66.44 
 
 42.74 
 
 79 
 
 80 
 
 67.84 
 
 42.39 
 
 67.66 
 
 42 . 69 
 
 67.47 i 42.98 
 
 67.28 
 
 43.28 
 
 80 
 
 81 
 
 68.69 
 
 42 . 92 
 
 68.50 
 
 43.22 
 
 68.31 
 
 43.52 
 
 68.12 
 
 43.82 
 
 81 
 
 82 
 
 69.54 
 
 43.45 
 
 69.35 
 
 4-3 . 76 
 
 69.16 
 
 44.06 
 
 68.97 
 
 44.36 
 
 82 
 
 S3 
 
 70.39 
 
 43.98 
 
 70.20 
 
 44.29 
 
 70 . 00 
 
 44.60 
 
 69.81 
 
 44.90 
 
 83 
 
 84 
 
 71.24 
 
 44.51 
 
 71.04 
 
 44.82 
 
 70.84 
 
 45.13 
 
 70.65 
 
 45.44 
 
 84 
 
 85 
 
 72.08 
 
 45.04 
 
 71.89 
 
 45.36 
 
 71.69 
 
 45.67 
 
 71.49 
 
 45 . 98 
 
 85 
 
 86 
 
 72.93 
 
 45.57 
 
 72.73 
 
 45 . 89 
 
 72.53 
 
 46.21 
 
 72.33 
 
 46 . 52 
 
 86 
 
 87 
 
 73.78 
 
 46.10 
 
 73 . 58 
 
 46.42 
 
 73.38 
 
 46.75 
 
 73.17 
 
 47.06 
 
 87 
 
 88 
 
 74.63 
 
 46.63 
 
 74.42 
 
 46 . 96 
 
 74.22 
 
 47.28 
 
 74.01 
 
 47.61 
 
 88 
 
 89 
 
 75.48 
 
 47.16 
 
 75.27 
 
 47.49 
 
 75.06 
 
 47.82 
 
 74.85 
 
 48.15 
 
 89 
 
 90 
 
 76.32 
 
 47.69 
 
 76.12 
 
 48.03 
 
 75.91 
 
 48.36 
 
 75 . 69 
 
 48.69 
 
 90 
 
 91 (77.17 
 
 48.22 
 
 76.96 
 
 48.56 
 
 76.75 
 
 48.89 
 
 76.53 
 
 49 . 23 
 
 91 
 
 92 78.02 
 
 48.75 
 
 77.81 
 
 49.09 
 
 77.59 
 
 49.43 
 
 77.38 
 
 49 77 
 
 92 
 
 93! 78.87 
 
 49.28 
 
 78 . 65 
 
 49.63 
 
 78.44 
 
 49.97 
 
 78.22 
 
 50.31 
 
 93 
 
 94 79.72 
 
 49.81 
 
 79.50 
 
 50.16 
 
 79.28 
 
 50.51 
 
 79.06 
 
 50.85 
 
 94 
 
 95 
 
 80.56 
 
 50.34 
 
 80.34 
 
 50.69 
 
 80.12 
 
 51.04 
 
 79.90 
 
 51.39 
 
 95 
 
 96 
 
 81.41 
 
 50.87 
 
 81.19 
 
 51.23 
 
 80.97 
 
 51.58 
 
 80.74 
 
 51.93 
 
 96 
 
 97 
 
 82.26 
 
 51.40 
 
 82.04 
 
 51.76 
 
 81.81 
 
 52.12 
 
 81.58 
 
 52.47 
 
 97 
 
 98 
 
 83.11 
 
 51.93 
 
 82.88 
 
 52.29 
 
 82.65 
 
 52.66 
 
 82.42 
 
 53.02 
 
 98 
 
 99 ; 83.96 
 
 52.46 
 
 83.73 
 
 52.83 
 
 83.50 
 
 53.19 
 
 83.26 
 
 53.56 
 
 99 
 
 100 
 
 84.80 
 
 52.99 
 
 84.57 
 
 53.36 
 
 84.34 
 
 53.73 
 
 84.10 
 
 54.10 
 
 100 
 
 3 
 d 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 | 
 
 09 
 
 g 
 b 
 
 58 Deg. 
 
 57! Deg. 
 
 57i Deg. 
 
 574 Deg. 
 
 .3 
 Q 
 
68 
 
 TRAVERSE TABLE. 
 
 o 
 
 33 Deg. 
 
 334 Deg. 
 
 33i Deg. 
 
 331 Deg. 
 
 C 
 
 02 
 
 
 
 
 
 
 
 a 
 
 a 
 o 
 
 CD 
 
 Lat. | Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 i 
 
 ~~7 
 
 0.84 
 
 0.54 
 
 0.84 
 
 0.55 
 
 0.83 
 
 0.55 
 
 0.83 
 
 0.56 
 
 i 
 
 2 
 
 1.68 
 
 1.09 
 
 1.67 
 
 1.10 
 
 1.67 
 
 1.10 
 
 1.66 
 
 1.11 
 
 2 
 
 3 
 
 2.52 
 
 1.63 
 
 2.51 
 
 1.64 
 
 2.50 
 
 1.66 
 
 2.49 
 
 1.67 
 
 3 
 
 4 
 
 3.35 
 
 2.18 
 
 3.35 
 
 2.19 
 
 3.34 
 
 2.21 
 
 3.33 
 
 2.22 
 
 4 
 
 5 
 
 4.19 
 
 2.72 
 
 4.18 
 
 2.74 
 
 4.17 
 
 2.76 
 
 4.16 
 
 2.78 
 
 5 
 
 6 
 
 5.03 
 
 3.27 
 
 5 . 02 
 
 3.29 
 
 5.00 
 
 3.31 
 
 4.99 
 
 3.33 
 
 6 
 
 7 
 
 5.87 
 
 3.81 
 
 5.85 
 
 3.84 
 
 5.84 
 
 3.86 
 
 5.82 
 
 3.89 
 
 7 
 
 8 
 
 6.71 
 
 4.36 
 
 6.69 
 
 4.39 
 
 6.67 
 
 4.42 
 
 6.65 
 
 4.44 
 
 8 
 
 9 
 
 7.55 
 
 4.90 
 
 7.53 
 
 4.93 
 
 7.50 
 
 4.97 
 
 7.48 
 
 5.00 
 
 9 
 
 10 
 
 8.39 
 
 5.45 
 
 8.36 
 
 5.48 
 
 8.34 
 
 5 . 52 
 
 8.31 
 
 5.56 
 
 10 
 
 11 
 
 9.23 
 
 5.99 
 
 9.20 
 
 6.03 
 
 9.17 
 
 6.07 
 
 9.15 
 
 6.11 
 
 11 
 
 12 
 
 10.06 
 
 6.54 
 
 10.04 
 
 6.58 
 
 10.01 
 
 6.62 
 
 9.98 
 
 6.67 
 
 12 
 
 13 
 
 10.90 
 
 7.08 
 
 10.87 
 
 7.13 
 
 10.84 
 
 7.18 
 
 10.81 
 
 7.22 
 
 13 
 
 14 
 
 11.74 
 
 7.62 
 
 11.71 
 
 7.68 
 
 11.67 
 
 7.73 
 
 11.64 
 
 7.78 
 
 14 
 
 15 
 
 12.58 
 
 8.17 
 
 12.54 
 
 8.22 
 
 12.51 
 
 8.28 
 
 12.47 
 
 8.33 
 
 15 
 
 16 
 
 13.42 
 
 8.71 
 
 13.38 
 
 8.77 
 
 13.34 
 
 8.83 
 
 13.30 
 
 8.89 
 
 16 
 
 17 
 
 14.26 
 
 9.26 
 
 14.22 
 
 9.32 
 
 14.18 
 
 9.38 
 
 14.13 
 
 9.44 
 
 17 
 
 18 
 
 15.10 
 
 9.80 
 
 15.05 
 
 9.87 
 
 15.01 
 
 9.93 
 
 14.97 
 
 10.00 
 
 18 
 
 19 
 
 15.93 
 
 10.35 
 
 15.89 
 
 10.42 
 
 15.84 
 
 10.49 
 
 15.80! 10.56 
 
 19 
 
 20 
 
 16.77 
 
 10.89 
 
 16.73 
 
 10.97 
 
 16.68 
 
 1 1 . 04 
 
 16.631 11.11 
 
 20 
 
 21 
 
 17.61 
 
 11.44 
 
 17.56 
 
 11.51 
 
 17.51 
 
 11.59 
 
 17.46 11.67 
 
 21 
 
 22 
 
 18.45 
 
 11.98 
 
 18.40 
 
 12.06 
 
 18.35 
 
 12.14 
 
 18.29 
 
 12.22 
 
 22 
 
 23 
 
 19.29 
 
 12.53 
 
 19.23 
 
 12.61 
 
 19.18 
 
 12.69 
 
 19.12 
 
 12.78 
 
 23 
 
 24 
 
 20.13 
 
 13.07 
 
 20.07 
 
 13.16 
 
 20.01 
 
 13.25 
 
 19.96 
 
 13.33 
 
 24 
 
 25 
 
 20 . 97 
 
 13.62 
 
 20.91 
 
 13.71 
 
 20.85 
 
 13.80 
 
 20.79 
 
 13.89 
 
 25 
 
 26 
 
 21.81 
 
 14.16 
 
 21.74 
 
 14.26 
 
 21.68 
 
 14.35 
 
 21.62 
 
 14.44 
 
 26 
 
 27 
 
 22.64 
 
 14.71 
 
 22.58 
 
 14.80 
 
 22.51 
 
 14.90 
 
 22.45 
 
 15.00 
 
 27 
 
 28 
 
 23.48 
 
 15.25 
 
 23.42 
 
 15.35 
 
 23.35 
 
 15.45 
 
 23.28 
 
 15.56 
 
 28 
 
 29 
 
 24.32 
 
 15.79 
 
 24.25 
 
 15.90 
 
 24.18 
 
 16.01 
 
 24.11 
 
 16.11 
 
 29 
 
 30 
 
 25.16 
 
 16.34 
 
 25.09 
 
 16.45 
 
 25.02 
 
 16.56 
 
 24.94 
 
 16.67 
 
 30 
 
 31 
 
 26.00 
 
 16.88 
 
 25.92 
 
 17.00 
 
 25.85 
 
 17.11 
 
 25.78 
 
 17.22 
 
 31 
 
 32 
 
 26 . 84 
 
 17.43 
 
 26.76 
 
 17.55 
 
 26.68 
 
 17.66 
 
 26.61 
 
 17.78 
 
 32 
 
 33 
 
 27.63 
 
 17.97 
 
 27.60 
 
 18.09 
 
 27.52 
 
 18.21 
 
 27.44 
 
 18.33 
 
 33 
 
 34 
 
 23.51 
 
 18.52 
 
 28.43 
 
 18.64 
 
 28.35 
 
 18.77 
 
 28.27 
 
 18.89 
 
 34 
 
 35 
 
 29 . 35 
 
 19.06 
 
 29 . 27 
 
 19.19 
 
 29.19 
 
 19.32 
 
 29.10 
 
 19.44 
 
 35 
 
 36 
 
 30.19 
 
 19.61 
 
 30 . 1 1 
 
 19.74 
 
 30.02 
 
 19.87 
 
 29.93 
 
 20.00 
 
 36 
 
 37 
 
 3 1 . 03 
 
 20.15 
 
 30.94 
 
 20.29 
 
 30.85 
 
 20.42 
 
 30.76 
 
 20.56 
 
 37 
 
 38 
 
 31.87 
 
 20.70 
 
 31.78 
 
 20.84 
 
 31.69 
 
 20.97 
 
 31.60 
 
 21.11 
 
 38 
 
 39 
 
 32 71 
 
 21.24 
 
 32 . 82 
 
 21.38 
 
 32.52 
 
 21.53 
 
 32.43 
 
 21.67 
 
 39 
 
 40 
 
 33 . 55 
 
 21.79 
 
 33.45 
 
 21.93 
 
 33.36 
 
 22.08 
 
 33.26 
 
 22.22 
 
 40 
 
 41 
 
 31 . 39 
 
 22.33 
 
 34.29 
 
 22.48 
 
 34.19 
 
 22.63 
 
 34.09 
 
 22.78 
 
 41 
 
 42 
 
 35.22 
 
 22.87 
 
 35.12 
 
 23.03 
 
 35.02 
 
 23.18 
 
 34.92 
 
 23.33 
 
 42 
 
 43 
 
 3o . 06 
 
 23.42 
 
 35.96 
 
 23.58 
 
 35.86 
 
 23.73 
 
 35.75 
 
 23.89 
 
 43 
 
 44 
 
 33.90 
 
 23 . 96 
 
 36.80 
 
 24.12 
 
 36.69 
 
 24.29 
 
 36.58 
 
 24.45 
 
 44 
 
 45 
 
 37.74 
 
 24.51 
 
 37.63 
 
 24.67 
 
 37.52 
 
 24.84 
 
 37.42 
 
 25.00 
 
 45 
 
 46 
 
 33 . 58 
 
 25.05 
 
 38.47 
 
 25.22 
 
 38.36 
 
 25.39 
 
 38.25 
 
 25.56 
 
 46 
 
 47 
 
 39.42 
 
 25.60 
 
 39.31 
 
 25.77 
 
 39.19 
 
 25.94 
 
 39.08 
 
 26.11 
 
 47 
 
 48 
 
 40.23 
 
 26.14 
 
 40.14 
 
 26.32 
 
 40.03 
 
 23.49 
 
 39.91 
 
 26.67 
 
 48 
 
 49 
 
 41.09 
 
 26.69 
 
 40.98 
 
 26.87 
 
 40.86 
 
 27.04 
 
 40.74 
 
 27.22 
 
 49 
 
 50 
 
 41.93 
 
 27.23 
 
 41.81 
 
 27.41 
 
 41.69 
 
 27.60 
 
 41.57 
 
 27.78 
 
 50 
 
 1 
 
 Dep 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 to 
 
 o 
 
 rt 
 
 s 
 
 57 Deg. 
 
 56| Deg. 
 
 56i Deg. 
 
 56i Deg. 
 
 Q 
 
TRAVEKSE TABLE. 
 
 69 
 
 
 
 
 
 
 4 
 
 5? 
 
 33 Deg. 
 
 33i Deg. 
 
 33^ Deg. 
 
 33J Deg. 
 
 O 
 5' 
 
 s 
 
 
 Lat. 
 
 
 
 
 tance. 
 
 Lat. 
 
 Dep. 
 
 Dep. 
 
 Lat. 
 
 Dep 
 
 Lat. 
 
 Dep. 
 
 51 
 
 42.77 
 
 27.78 
 
 42.65 
 
 27.98 
 
 42.53 
 
 28. ill 
 
 42.40 
 
 28.33 
 
 51 
 
 52 
 
 43.61 
 
 28.32 
 
 43.49 
 
 28.51 
 
 43.36 
 
 28-70 
 
 43.24 
 
 28.89 
 
 52 
 
 53 
 
 44.45 
 
 28.87 
 
 44.32 
 
 29.06 
 
 44.20 
 
 29.25 
 
 44.07 
 
 29.45 
 
 53 
 
 54 
 
 45.29 
 
 29.41 
 
 45.16 
 
 29.61 
 
 45.03 
 
 29.80 
 
 44.90 
 
 30.00 
 
 54 
 
 55 
 
 46.13 
 
 29.96 
 
 46.00 
 
 30.16 
 
 45.86 
 
 30.36 
 
 45.73 
 
 30.56 
 
 55 
 
 56 
 
 46.97 
 
 30.50 
 
 46.83 
 
 30.70 
 
 46.70 
 
 30.91 
 
 40.56 
 
 31.11 
 
 56 
 
 57 
 
 47.80 
 
 31.04 
 
 47.67 
 
 31.25 
 
 47.53 
 
 31.46 
 
 47.39 
 
 31.67 
 
 57 
 
 58 
 
 48.64 
 
 31.59 
 
 48.50 
 
 31.80 
 
 48.37 
 
 32.01 
 
 48.23 
 
 82.22 
 
 58 
 
 59 
 
 49.48 
 
 32.13 
 
 49.34 
 
 32.35 
 
 49.20 
 
 32.50 
 
 49.06 
 
 32.78 
 
 59 
 
 60 
 
 50.32 
 
 32.68 
 
 50.18 
 
 32.90 
 
 50.03 
 
 33.12 
 
 49.89 
 
 33.33 
 
 60 
 
 "61 
 
 51.16 
 
 33.22 
 
 51.01 
 
 33.45 
 
 50.87 
 
 33.67 
 
 50 . 72 
 
 33.89 
 
 61 
 
 62 
 
 52.00 
 
 33.77 
 
 51.85 
 
 33 . 99 
 
 51.70 
 
 34.22 
 
 51.55 
 
 34.45 
 
 02 
 
 63 
 
 52.84 
 
 34.31 
 
 52.69 
 
 34.54 
 
 52.53 
 
 34.77 
 
 52.38 
 
 35.00 
 
 63 
 
 64 
 
 53.67 
 
 34.86 
 
 53.52 
 
 35.09 
 
 53.37 
 
 35.32 
 
 53.21 
 
 35.56 
 
 64 
 
 65 
 
 54.51 
 
 35.40 
 
 54.36 
 
 35.64 
 
 54.20 
 
 35.88 
 
 54.05 
 
 36.11 
 
 65 
 
 66 
 
 55 . 35 
 
 35.95 
 
 55.19 
 
 36.19 
 
 55.04 
 
 36.43 
 
 54.88 
 
 36.07 
 
 GO 
 
 07 
 
 56.19 
 
 36.49 
 
 56.03 
 
 36 . 74 
 
 55.87 
 
 36.98 
 
 55.71 
 
 37.22 
 
 07 
 
 08 
 
 57.03 
 
 37.04 
 
 56.87 
 
 37.28 
 
 56 . 70 
 
 37.53 
 
 56.54 
 
 37 . 78 
 
 08 
 
 69 
 
 57.87 
 
 37.58 
 
 57 . 70 
 
 37.83 
 
 57.54 
 
 38.08 
 
 57.37 
 
 38.33 
 
 09 
 
 70 
 
 58.71 
 
 38 . 1 2 
 
 58 . 54 
 
 38.38 
 
 58.37 
 
 38.64 
 
 58.20 
 
 38.89 1 70 
 
 71 
 
 59.55 
 
 38.67 
 
 59.38 
 
 38.93 
 
 59.21 
 
 39.19 
 
 59.03 
 
 39.45 
 
 71 
 
 72. 
 
 60.38 
 
 39.21 
 
 60.21 
 
 39.48 
 
 60.04 
 
 39.74 59.87 
 
 40.00 
 
 72 
 
 73 
 
 61.22 
 
 39.76 
 
 61.05 
 
 40.03 
 
 60.87 
 
 40.29 i 
 
 60.70 
 
 40.56 
 
 73 
 
 74 
 
 62.06 
 
 40.30 
 
 61.89 
 
 40.57 
 
 61.71 
 
 40.84 
 
 61.53 
 
 41.11 
 
 74 
 
 75 
 
 62.90 
 
 40.85 
 
 62 . 72 
 
 41.12 
 
 62.54 
 
 41.40 
 
 62.36 
 
 41.67 
 
 75 
 
 76 
 
 6'3 . 74 
 
 41.39 
 
 03.56 
 
 41.67 
 
 63.38 
 
 41.95 
 
 63.19 142.22 
 
 70 
 
 77 
 
 64.58 
 
 41.94 
 
 64.39 
 
 42.22 
 
 64.21 
 
 42 . 50 
 
 64.02 
 
 42.78 
 
 77 
 
 78 
 
 65.42 
 
 42.48 
 
 65.23 
 
 42.77 
 
 05.04 
 
 43.05 
 
 64.85 
 
 43.33 
 
 78 
 
 79 
 
 66.25 
 
 43.03 
 
 66.07 
 
 43.32 
 
 05.88 
 
 43 . 60 
 
 65.69 
 
 43.89 
 
 79 
 
 80 
 
 67.09 
 
 43 . 57 
 
 66.90 
 
 43.86 
 
 06.71 
 
 44.15 
 
 66.52 
 
 44.45 
 
 80 
 
 81 
 
 67.93 
 
 44.12 
 
 67.74 
 
 44.41 
 
 67.54 
 
 44.71 
 
 67.35 
 
 45.00 
 
 81 
 
 82 
 
 08.77 
 
 44.66 
 
 68.58 
 
 44.96 
 
 08.38 
 
 45.26 
 
 68.18 
 
 45.56 
 
 82 
 
 83 
 
 69.01 
 
 45.20 
 
 69.41 
 
 45.51 
 
 09.21 
 
 45.81 
 
 69.01 
 
 46.11 
 
 83 
 
 84 
 
 70.45 
 
 45 . 75 
 
 70.25 
 
 46 . 06 
 
 70.05 
 
 40.36 
 
 09.84 
 
 46 . 67 
 
 84 
 
 85 
 
 71.29 
 
 46.29 
 
 71.08 
 
 46.60 
 
 70.88 
 
 46.91 
 
 70.07 
 
 47.22 
 
 85 
 
 86 
 
 72.13 
 
 4S.84 
 
 71.92 
 
 47.15 
 
 71.71 
 
 47.47 
 
 71.51 
 
 47.78 
 
 80 
 
 87 
 
 72.96 
 
 47.38 
 
 72.76 
 
 47.70 
 
 72.55 
 
 48.02 
 
 72.34 
 
 48.33 
 
 87 
 
 88 
 
 73.80 
 
 47.93 
 
 73.59 
 
 48.25 
 
 73.38 U8.57 
 
 73.17 
 
 48.89 
 
 88 
 
 89 
 
 74 . 64 
 
 48.47 
 
 74.43 
 
 48.80 
 
 74.22 
 
 49.12 
 
 74.00 
 
 49.45 
 
 89 
 
 90 
 
 75.48 
 
 49.02 
 
 75.27 
 
 49.35 
 
 75.05 
 
 49.07 
 
 74.83 
 
 50.00 
 
 90 
 
 91 
 
 76.32 
 
 49.56 
 
 76.10 
 
 49.89 
 
 75.88 
 
 50.23 
 
 75 . 06 
 
 50.56 
 
 91 
 
 92 
 
 77.16 
 
 50 . 1 1 
 
 76.94 
 
 50 . 44 
 
 76.72 
 
 50.78 
 
 76.50 
 
 51.11 
 
 92 
 
 93 
 
 78.00 
 
 50.05 
 
 77.77 
 
 50 . 99 
 
 77.55 
 
 51.33 
 
 77.33 
 
 51.67 
 
 93 
 
 94 
 
 78.83 
 
 51.20 
 
 78.61 
 
 51.54 
 
 78.39 
 
 51.88 
 
 78.16 
 
 52.22 
 
 94 
 
 95 
 
 79.07 
 
 51.74 
 
 79.45 
 
 52.09 
 
 79.22 
 
 52.43 
 
 78.99 
 
 52.78 
 
 95 
 
 96 
 
 80.51 
 
 52.29 
 
 80.28 
 
 52.64 
 
 80.05 
 
 52.99 
 
 79.82 
 
 53.33 
 
 90 
 
 97 
 
 81.35 
 
 52.83 
 
 81.12 
 
 53.18 
 
 80.89 
 
 53.54 
 
 80.65 
 
 53. $9 
 
 97 
 
 98 
 
 82.19 
 
 53.37 
 
 81.96 
 
 53.73 
 
 81.72 
 
 54.09 
 
 81.48 
 
 54.45 
 
 98 
 
 99 
 
 83.03 
 
 53.92 
 
 82.79 
 
 54.28 
 
 82.55 
 
 54.04 
 
 82.32 
 
 55.00 
 
 99 
 
 100 
 
 83.87 
 
 54.46 
 
 83.63 
 
 54.83 
 
 83.39 
 
 55.19 
 
 83.15 
 
 55.56 
 
 100 
 
 
 
 o 
 
 D 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 I 
 
 rt 
 
 .J8 
 
 57 Deg. 
 
 56| Dcg. 
 
 561 Deg. 
 
 56$ Deg. 
 
 rt 
 
 .2 
 
 a 
 

 70 
 
 TRAVERSE TABLE. 
 
 o 
 
 34 Deg. 
 
 344 Deg. 
 
 34^ Deg. 
 
 34| Deg. 
 
 D 
 
 I 
 
 
 
 
 
 ' 
 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 
 
 1 
 
 0.83 
 
 0.56 
 
 0.83 
 
 0.56 
 
 ~~(JY82~ 
 
 0.57 
 
 0. 82 
 
 0.57 
 
 1 
 
 2 
 
 1.66 
 
 1.12 
 
 1.65 
 
 1.13 
 
 1.65 
 
 1.13 
 
 1.64 
 
 1.14 
 
 2 
 
 '3 
 
 2.49 
 
 1.68 
 
 2.48 
 
 1.69 
 
 2.47 
 
 1.70 
 
 2.46 
 
 1.71 
 
 3 
 
 4 
 
 3.32 
 
 2.24 
 
 3.31 
 
 2.25 
 
 3.30 
 
 2.27 
 
 3.29 
 
 2.28 
 
 4 
 
 5 
 
 4.15 
 
 2.80 
 
 4.13 
 
 2.81 
 
 4.12 
 
 2.83 
 
 4.11 
 
 2.85 
 
 5 
 
 6 
 
 4.97 
 
 3.36 
 
 4.96 
 
 3.38 
 
 4.94 
 
 3.40 
 
 4.93 
 
 3.42 
 
 6 
 
 7 
 
 5.80 
 
 3.91 
 
 5.79 
 
 3.94 
 
 5.77 
 
 3.96 
 
 5 . 75 
 
 3.99 
 
 7 
 
 8 
 
 6.63 
 
 4,47 
 
 6.61 
 
 4.50 
 
 6.59 
 
 4.53 
 
 6.57 
 
 4.56 
 
 8 
 
 9 
 
 7.46 
 
 5.03 
 
 7.44 
 
 5.07 
 
 7.42 
 
 5.10 
 
 7.39 
 
 5.13 
 
 9 
 
 10 
 
 8.29 
 
 5.59 
 
 8.27 
 
 5 . 63 
 
 8.24 
 
 5.66 
 
 8.22 
 
 5.70 
 
 10 
 
 11 
 
 9.12 
 
 6.15 
 
 9.09 
 
 6.19 
 
 9.07 
 
 6.23 
 
 9.04 
 
 6.27 
 
 11 
 
 12 
 
 9.95 
 
 6.71 
 
 9.92 
 
 6.75 
 
 9.89 
 
 6.80 
 
 9.86 
 
 6.84 
 
 12 
 
 13 
 
 10.78 
 
 7.27 
 
 10.75 
 
 7.32 
 
 10.71 
 
 7.36 
 
 10.68 
 
 7.41 
 
 13 
 
 14 
 
 11.61 
 
 -7.83 
 
 11.57 
 
 7.88 
 
 11.54 
 
 7.93 
 
 11.50 
 
 7.98 
 
 14 
 
 15 
 
 12.44 
 
 8.39 
 
 12.40 
 
 8.44 
 
 12.36 
 
 8.50 
 
 12.32 
 
 8 . 55 
 
 15 
 
 16 
 
 13.26 
 
 8.95 
 
 13.23 
 
 9.00 
 
 13.19 
 
 9.06 
 
 13.15 
 
 9.12 
 
 16 
 
 17 
 
 14.09 
 
 9.51 
 
 14.05 
 
 9.57 
 
 14.01 
 
 9.63 
 
 13.97 
 
 9.69 
 
 17 
 
 18 
 
 14.92 
 
 10.07 
 
 14.88 
 
 10.13 
 
 14.83 
 
 10.20 
 
 14,79 
 
 10.26 
 
 18 
 
 19 
 
 15.75 
 
 10.62 
 
 15.71 
 
 10.69 
 
 15.66 
 
 10.76 
 
 15.61 
 
 10.83 
 
 19 
 
 20 
 
 16.58 
 
 11.18 
 
 16.53 
 
 11.26 
 
 16.48 
 
 11.33 
 
 16.43 
 
 11.40 
 
 20 
 
 21 
 
 17.41 
 
 11.74 
 
 17.36 
 
 11.82 
 
 17.31 
 
 11.89 
 
 17.25 
 
 11.97 
 
 21 
 
 22 
 
 18.24 
 
 12.30 
 
 18.18 
 
 12.38 
 
 18.13 
 
 12.46 
 
 18.08 
 
 12.54 
 
 22 
 
 23 
 
 19.07 
 
 12.86 
 
 19.01 
 
 12.94 
 
 18.95 
 
 13.03 
 
 18.90 
 
 13.11 
 
 23 
 
 24 
 
 19.90 
 
 13.42 
 
 19.84 
 
 13.51 
 
 19.78 
 
 13.59 
 
 19.72 
 
 13.68 
 
 24 
 
 25 
 
 20 . 73 
 
 13.98 
 
 20.66 
 
 14.07 
 
 20.60 
 
 14.16 i 
 
 20.54 
 
 14.25 
 
 25 
 
 26 
 
 21.55 
 
 14.54 
 
 21.49 
 
 14.63 
 
 21.43 
 
 14.73 
 
 21.36 
 
 14.82 
 
 20 
 
 27 
 
 22.38 
 
 15.10 
 
 22.32 
 
 15.20 
 
 22.25 
 
 15.29 
 
 22.18 
 
 15.39 
 
 27 
 
 28 
 
 23.21 
 
 15 66 
 
 23.14 
 
 15.76 
 
 23.08 
 
 15.86 
 
 23.01 
 
 15.96. 
 
 28 
 
 29 
 
 24.04 
 
 16.22 
 
 23.97 
 
 16.32 
 
 23.90 
 
 16.43 
 
 23.83 
 
 16.53 
 
 29 
 
 30 
 
 24.87 
 
 16.78 
 
 24.80 
 
 16.88 
 
 24.72 
 
 16.99 
 
 24.65 
 
 17.10 
 
 30 
 
 31 
 
 25.70 17.33 
 
 25.62 
 
 17.45 
 
 25 . 55 
 
 17.56 1 
 
 25.47 
 
 17.67 
 
 31 
 
 32 
 
 26.53 17.89 
 
 26.45 
 
 18.01 
 
 26.37 
 
 18.12 
 
 26.29 
 
 18.24 
 
 32 
 
 33 
 
 27.36 
 
 18.45 
 
 27.28 
 
 18.57 
 
 27.20 
 
 18.69 
 
 27.11 
 
 18.81 
 
 33 
 
 34 
 
 28.19 
 
 19.01 
 
 28.10 
 
 19.14 
 
 28.02 
 
 19.26 
 
 27.94 
 
 19.38 
 
 34 
 
 35 
 
 29.02 
 
 19.57 
 
 28.93 
 
 19.70 
 
 28.84 
 
 19.82 
 
 28 . 76 
 
 19.95 
 
 35 
 
 36 
 
 29.85 
 
 20.13 
 
 29.76 
 
 20.26 
 
 29.67 
 
 20.39 
 
 29 . 58 
 
 20 . 52 
 
 36 
 
 37 
 
 30.67 
 
 20.69 
 
 30 . 58 
 
 20.82 
 
 30.49 
 
 20.96 
 
 30.40 
 
 21.09 
 
 37 
 
 38 
 
 31.50 
 
 21.25 
 
 31.41 
 
 21.39 
 
 31.32 
 
 21.52 
 
 31.22 
 
 21.66 
 
 38 
 
 39 
 
 32.33 
 
 21.81 
 
 32.24 
 
 21.95 
 
 32.14 
 
 22.09 
 
 32.04 
 
 22.23 
 
 39 
 
 40 
 
 33.16 
 
 22 . 37 
 
 33.06 
 
 22.51 
 
 32.97 
 
 22 . 66 
 
 32.87 
 
 22.80 
 
 40 
 
 41 
 
 33.99 
 
 22.93 
 
 33.89 
 
 23.07 
 
 33 . 79 
 
 23.22 
 
 33.69 
 
 23.37 
 
 41 
 
 42 
 
 34.82 
 
 23.49 
 
 34.72 
 
 23.64 
 
 34.61 
 
 23.79 
 
 34.51 
 
 23 . 94 
 
 42 
 
 43 
 
 35.65 
 
 24.05 
 
 35.54 
 
 24.20 
 
 35.44 
 
 24.36 
 
 35.33 
 
 24.51 
 
 43 
 
 44 
 
 36.48 
 
 24.60 
 
 36.37 
 
 24.76 
 
 36.26 
 
 24.92 
 
 36.15 
 
 25.08 
 
 41 
 
 45 
 
 37.31 
 
 25.16 
 
 37.20 
 
 25.33 
 
 37.09 
 
 25.49 
 
 36.97 
 
 25.65 
 
 45 
 
 46 
 
 38.14 
 
 25.72 
 
 38.02 
 
 25.89 
 
 37.91 
 
 26.05 
 
 37.80 
 
 26.22 
 
 46 
 
 47 
 
 38.96 
 
 26.28 
 
 38.85 
 
 26.45 
 
 38.73 
 
 26.62 
 
 38.62 
 
 26.79 
 
 47 
 
 48 
 
 39.79 
 
 26.84 
 
 39.68 
 
 27.01 
 
 39.56 
 
 27.19 
 
 39.44 
 
 27.36 
 
 48 
 
 49 
 
 40.62 
 
 27.40 
 
 40.50 
 
 27.58 
 
 40.38 
 
 27.75 
 
 40.26 
 
 27 . 93 
 
 49 
 
 50 
 
 41.45 
 
 27.96 
 
 41.33 
 
 28.14 
 
 41.21 
 
 28.32 
 
 41.08 
 
 28.50 
 
 50 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 c 
 
 E 
 
 cd 
 
 Q 
 
 56 Deg. 
 
 55| Deg. 
 
 55 Deg. 
 
 554 Deg.- 
 
 Q 
 
TRAVERSE TABLE, 
 
 71 
 
 o 
 ' 
 
 p 
 
 34Deg. 
 
 34} Deg. 
 
 34 Deg. 
 
 34| Deg. 
 
 | 
 
 p 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 s 
 n 
 
 CD 
 
 ~5l 
 
 42.28 
 
 28.52 
 
 42.16 
 
 28.70 
 
 42.03 
 
 28.89 
 
 41.90 
 
 29.07 
 
 "tl 
 
 52 
 
 43.11 
 
 29.08 
 
 42.98 
 
 29.27 
 
 42.85 
 
 29.45 
 
 42,73 
 
 29.64 
 
 52 
 
 53 
 
 43.94 
 
 29.64 
 
 43.81 
 
 29.83 
 
 43.68 
 
 30.02 
 
 43.55 
 
 30.21 
 
 53 
 
 54 
 
 44.77 
 
 30.20 
 
 44.64 
 
 30.39 
 
 44.50 
 
 30.59 
 
 44.37 
 
 30.78 
 
 54 
 
 55 
 
 45, 60 
 
 30.76 
 
 45.46 
 
 30.95 
 
 45.33 
 
 31.15 
 
 45.19 
 
 31.35 
 
 55 
 
 56 
 
 46.43 
 
 31.31 
 
 46.29 
 
 31.52 
 
 46.15 
 
 31.72 
 
 46.01 
 
 31.92 
 
 56 
 
 57 
 
 47.26 
 
 31.87 
 
 47.12" 
 
 32.08 
 
 46.98 
 
 32.29 
 
 46.83 
 
 32.49 
 
 57 
 
 58 
 
 48.08 
 
 32.43 
 
 47.94 
 
 32.64 
 
 47.80 
 
 32.85 
 
 47.66 
 
 33.06 
 
 58 
 
 59 
 
 48.91 
 
 32.99 
 
 48.77 
 
 33.21 
 
 48 . 62 
 
 33 . 42 
 
 48.48 
 
 33.63 
 
 59 
 
 60 
 
 49,74 
 
 33.55 
 
 49.60 
 
 33.77 
 
 49.45 
 
 33.98 
 
 49.30 
 
 34.20 
 
 60 
 
 61 
 
 50.57 
 
 34.11 
 
 50.42 
 
 34.33 
 
 50.27 
 
 34.55 
 
 50.12 
 
 34.77 
 
 61 
 
 62 
 
 51.40 
 
 34.67 
 
 51.25 
 
 34.89 
 
 51. 10 
 
 35.12 
 
 50.94 
 
 35.34 
 
 62 
 
 63 
 
 52.23 
 
 35.23 
 
 52.08 
 
 35.46 
 
 51.92 
 
 35.68 
 
 51.76 
 
 35.91 
 
 63 
 
 64 
 
 53.06 
 
 35.79 
 
 52.90 
 
 36.02 
 
 52 . 74 
 
 36.25 
 
 52.59 
 
 36.48 
 
 64 
 
 65 
 
 53.89 
 
 36 35 
 
 53.73 
 
 36.58 
 
 53.57 
 
 36.82 
 
 53.41 
 
 37.05 
 
 65 
 
 66 
 
 54.72 
 
 36.91 
 
 54.55 
 
 37.15 
 
 54.39 
 
 37.38 
 
 54.23 
 
 37.62 
 
 66 
 
 67 
 
 55.55 
 
 37.46 
 
 55.38 
 
 37.71 
 
 55.22 
 
 37.95 
 
 55.05 
 
 38.19 
 
 67 
 
 68 
 
 56.37 
 
 38.03 
 
 56.21 
 
 38.27 
 
 56.04 
 
 38 . 52 
 
 55.87 
 
 38 . 76 
 
 68 
 
 69 
 
 57.20 
 
 38.58 
 
 57.03 
 
 38.83 
 
 56.86 
 
 39.08 
 
 56.69 
 
 39.33 
 
 69 
 
 70 
 
 58,03 
 
 39.14 
 
 57.86 
 
 39.40 
 
 57.69 
 
 39.65 
 
 57.52 
 
 39.90 
 
 70 
 
 71 
 
 58.86 
 
 39.70 
 
 58.69 
 
 39 . 96 
 
 58.51 
 
 40.21 
 
 58.34 
 
 40.47 
 
 71 
 
 72 
 
 59.69 
 
 40.26 
 
 59.51 
 
 40 . 52 
 
 59.34 
 
 40.78 
 
 59.16 
 
 41.04 
 
 72 
 
 73 
 
 60.52 
 
 40.82 
 
 60.34 
 
 41.08 
 
 60.16 
 
 41.35 
 
 59.98 
 
 41.61 
 
 73 
 
 74 
 
 61.35 
 
 41.38 
 
 61.17 
 
 41.65 
 
 60.99 
 
 41.91 
 
 60.80 
 
 42.18 
 
 74 
 
 75 
 
 62.18 
 
 41.94 
 
 61.99 
 
 42.21 
 
 61.81 
 
 42.48 
 
 61.62 
 
 42.75 
 
 75 
 
 76 
 
 63.01 
 
 42.50 
 
 62.82 
 
 42.77 
 
 62.63 
 
 43.05 
 
 62.45 
 
 43.32 
 
 76 
 
 77 
 
 63.84 
 
 43.06 
 
 63.65 
 
 43.34 
 
 63.46 
 
 43.61 
 
 63.27 
 
 43.89 
 
 77 
 
 78 
 
 64.66 
 
 43.62 
 
 64.47 
 
 43.90 
 
 64.28 
 
 44.18 
 
 64.09 
 
 44.46 
 
 78 
 
 79 
 
 65.49 
 
 44.18 
 
 65.30 
 
 44.46 
 
 65.11 
 
 44.75 
 
 64.91 
 
 45.03 
 
 79 
 
 80 
 
 66.32 
 
 44.74 
 
 66,13 
 
 45.02 
 
 65.93 
 
 45.31 
 
 65.73 
 
 45 . 60 
 
 80 
 
 81 
 
 67.15 
 
 45.29 
 
 66.95 
 
 45.59" 
 
 66 . 75 
 
 45.88 
 
 66.55 
 
 46.17 
 
 81 
 
 82 
 
 67.98 
 
 45.85 
 
 67.78 
 
 46.15 
 
 67.58 
 
 46.45 
 
 67.37 
 
 46.74 
 
 82 
 
 83 
 
 68.81 
 
 46.41 
 
 68.61 
 
 46.71 
 
 68.40 
 
 47.01 
 
 68.20 
 
 47.31 
 
 83 
 
 84 
 
 69,64 
 
 46.97 
 
 69.43 
 
 47.28 
 
 69.23 
 
 47.58 
 
 69.02 
 
 47.88 
 
 84 
 
 5 
 
 70.47 
 
 47.53 
 
 70.26 
 
 47.84 
 
 70.05 
 
 48.14 
 
 69.84 
 
 48.45 
 
 85 
 
 86 
 
 71.30 
 
 48.09 
 
 71.09 
 
 48.40 
 
 70.87 
 
 48.71 
 
 70.66 
 
 49.02 
 
 86 
 
 87 
 
 72.13 
 
 48.65 
 
 71.91 
 
 48.96 
 
 71.70 
 
 49.28 
 
 71.48 
 
 49.59 
 
 87 
 
 88 
 
 72.96 
 
 49.21 
 
 72.74 
 
 49.53 
 
 72.52 
 
 49.84 
 
 72.30 
 
 50.16 
 
 88 
 
 89 
 
 73 . 78 
 
 49.77 
 
 73.57 
 
 50.09 
 
 73.35 
 
 50.41 
 
 73.13 
 
 50.73 
 
 89 
 
 90 
 
 74.61 
 
 50.33 
 
 74.39 
 
 50 . 65 
 
 74.17 
 
 50,98 
 
 73 . 95 
 
 51.30 
 
 90 
 
 91 
 
 75.44 
 
 50,89 
 
 75.22 
 
 51.22 
 
 75 . 00 
 
 51.54 
 
 74.77 
 
 51.87 
 
 91 
 
 92 
 
 76.27 
 
 51.45 
 
 76.05 
 
 51.78 
 
 75.82 
 
 52.11 
 
 75.59 
 
 52.44 
 
 92 
 
 93 
 
 77.10 
 
 52.00 
 
 76.87 
 
 52.34 
 
 76.64 
 
 52.68 
 
 76.41 
 
 53.01 
 
 93 
 
 94 
 
 77.93 
 
 52.56 
 
 77.70 
 
 52.90 
 
 77.47 
 
 53.24 
 
 77.23 
 
 53.58 
 
 94 
 
 95 
 
 78.76 
 
 53.12 
 
 78.53 
 
 53,47 
 
 78.29 
 
 53.81 
 
 78.06 
 
 54.151 95 
 
 96 
 
 79.59 
 
 53.68 
 
 79.35 
 
 54.03 
 
 79.12 
 
 54.37 
 
 78.88 
 
 54.72 96 
 
 97 
 
 80.42 
 
 54.24 
 
 80.18 
 
 54.59 
 
 79.94 
 
 54.94 
 
 79.70 
 
 55.29 
 
 97 
 
 98 
 
 81.25 
 
 54.80 
 
 81.01 
 
 55.15 
 
 80.76 
 
 55.51 
 
 80.52 
 
 55.86 
 
 98 
 
 99 
 
 82.07 
 
 55.36 
 
 81.83 
 
 55.72 
 
 81.59 
 
 56.07 
 
 81.34 
 
 56.43 
 
 99 
 
 100 
 
 82.90 
 
 55.92 
 
 82.66 
 
 56.28 
 
 82.41 
 
 56.64 
 
 82.16 
 
 57.00 
 
 100 
 
 5 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 1 
 
 
 
 
 
 
 
 
 
 1 
 
 
 
 
 
 Q 
 
 56 Deg. 
 
 55J Deg. 
 
 55 Deg. 
 
 55i Deg. 
 
 .2 
 Q 
 
72 
 
 TRAVERSE TABLE. 
 
 d 
 
 35 Deg. 
 
 354 Deg. 
 
 35i Deg. 
 
 35| Deg. 
 
 O 
 
 1 
 
 8 
 
 
 
 
 
 .stance. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 i 
 
 0.82 
 
 0.57 
 
 0.82 
 
 0.58 
 
 0.81 
 
 0.58 
 
 0.81 
 
 ~0^58~ 
 
 1 
 
 2 
 
 1.64 
 
 1.15 
 
 1.63 
 
 1.15 
 
 1.63 
 
 1.16 
 
 1.62 
 
 1.17 
 
 2 
 
 3 
 
 2.46 
 
 1.72 
 
 2.45 
 
 1.73 
 
 2.44 
 
 1.74 
 
 2.43 
 
 1.75 
 
 3 
 
 4 
 
 3.28 
 
 2.29 
 
 3.27 
 
 2.31 
 
 3.26 
 
 2.32 
 
 3.25 
 
 2.34 
 
 4 
 
 5 
 
 4.10 
 
 2.87 
 
 4.08 
 
 2.89 
 
 4.07 
 
 2.90 
 
 4.06 
 
 2.92 
 
 5 
 
 6 
 
 4.91 
 
 3.44 
 
 4.90 
 
 3.46 
 
 4.88 
 
 3.48 
 
 4.87 
 
 3.51 
 
 6 
 
 7 
 
 5.73 
 
 4.01 
 
 5.72 
 
 4.04 
 
 5.70 
 
 4.06 
 
 5.68 
 
 4.09 
 
 7 
 
 8 
 
 6.55 
 
 4.59 
 
 6.53 
 
 4.62 
 
 6.51 
 
 4.65 
 
 6.49 
 
 4.67 
 
 8 
 
 9 
 
 7.37 
 
 5.16 
 
 7.35 
 
 5.19 
 
 7.33 
 
 5.23 
 
 7.30 
 
 5.26 
 
 9 
 
 10 
 
 8.19 
 
 5.74 
 
 8.17 
 
 5.77 
 
 8.14 
 
 5.81 
 
 8.12 
 
 5.84 
 
 10 
 
 " 11 
 
 9.01 
 
 0.31 
 
 8.98 
 
 6.35 
 
 8.96 
 
 6.39 
 
 8.93 
 
 6.43 
 
 if 
 
 12 
 
 9.83 
 
 6.88 
 
 9.80 
 
 6.93 
 
 9.77 
 
 6.97 
 
 9.74 
 
 7.01 
 
 12 
 
 13 
 
 10.65 
 
 7.46 
 
 10.62 
 
 7.50 
 
 10.58 
 
 7.55 
 
 10.55 
 
 7.60 
 
 13 
 
 14 
 
 11.47 
 
 8.03 
 
 11.43 
 
 8.08 
 
 11.40 
 
 8.13 
 
 11.36 
 
 8.18 
 
 14 
 
 15 
 
 12.29 
 
 8.60 
 
 12.25 
 
 8.66 
 
 12.21 
 
 8.71 
 
 12.17 
 
 8.76 
 
 15 
 
 16 
 
 13.11 
 
 9.18 
 
 13.07 
 
 9.23 
 
 13.03 
 
 9.29 
 
 12.99 
 
 9.35 
 
 16 
 
 17 
 
 13.93 
 
 9.75 
 
 13.88 
 
 9.81 
 
 13.84 
 
 9.87 
 
 13.80 
 
 9.93 
 
 17 
 
 18 
 
 14.74 
 
 10.32 
 
 14.70 
 
 10.39 
 
 14.65 
 
 10.45 
 
 14.61 
 
 10.52 
 
 18 
 
 19 
 
 15.56 
 
 10.90 
 
 15.52 
 
 10.97 
 
 15.47 
 
 11.03 
 
 15.42 
 
 11.10 
 
 19 
 
 20 
 
 16.38 
 
 11.47 
 
 16.33 
 
 11.54 
 
 16.28 
 
 11.61 
 
 16.23 
 
 11.68 
 
 20 
 
 21 
 
 17.20 
 
 12.05 
 
 17.15 
 
 12.12 
 
 17.10 
 
 12.19 
 
 17.04 
 
 12.27 
 
 21 
 
 22 
 
 18.02 
 
 12.62 
 
 17.97 
 
 12.70 
 
 17.91 
 
 12.78 
 
 17.85 
 
 12.85 
 
 22 
 
 23 
 
 18.84 
 
 13.19 
 
 18.78 
 
 13.27 
 
 18.72 
 
 13.36 
 
 18.67 
 
 13.44 
 
 23 
 
 24 
 
 19.66 
 
 13.77 
 
 19.60 
 
 13.85 
 
 19.54 
 
 13.94 
 
 19.48 
 
 14.02 
 
 24 
 
 25 
 
 20.48 
 
 14.34 
 
 20.42 
 
 14.43 
 
 20.35 
 
 14.52 
 
 20.29 
 
 14.61 
 
 25 
 
 26 
 
 21.30 
 
 14.91 
 
 21.23 
 
 15.01 
 
 21.17 
 
 15.10 
 
 21.10 
 
 15.19 
 
 26 
 
 27 
 
 22.12 
 
 15.49 
 
 22.05 
 
 15.58 
 
 21.98 
 
 15.68 
 
 21.91 
 
 15.77 
 
 27 
 
 28 
 
 22.94 
 
 16.06 
 
 22.87 
 
 16.16 
 
 22.80 
 
 16.26 
 
 22.72 
 
 16.36 
 
 28 
 
 29 
 
 23 . 76 
 
 16.63 
 
 23.68 
 
 16.74 
 
 23.61 
 
 16.84 
 
 23.54 
 
 16.94 
 
 29 
 
 30 
 
 24 . 57 
 
 17.21 
 
 24.50 
 
 17.31 
 
 24.42 
 
 17.42 
 
 24.35 
 
 17.53 
 
 30 
 
 31 
 
 25.39 
 
 17.78 
 
 25.32 
 
 17.89 
 
 25.24 
 
 18.00 
 
 25.16 
 
 18.11 
 
 31 
 
 32 
 
 26.21 
 
 18.35 
 
 26.13 
 
 18.47 
 
 26.05 
 
 18.58 
 
 25.97 
 
 18.70 
 
 32 
 
 33 
 
 27.03 
 
 18.93 
 
 26.95 
 
 19.05 
 
 26.87 
 
 19.16 
 
 26.78 
 
 19.28 
 
 33 
 
 34 
 
 27.85 
 
 19.50 
 
 27.77 
 
 19.62 
 
 27.68 
 
 19.74 
 
 27.59 
 
 19.86 
 
 34 
 
 35 
 
 28 . 67 
 
 20.08 
 
 28.58 
 
 20.20 
 
 28.49 
 
 20.32 
 
 28.41 
 
 20.45 
 
 35 
 
 36 
 
 29.49 
 
 20.65 
 
 29.40 
 
 20 . 78 
 
 29.31 
 
 20.91 
 
 29.22 
 
 21.03 
 
 36 
 
 37 
 
 30.31 
 
 21.22 
 
 30.22 
 
 21.35 
 
 30.12 
 
 21.49 
 
 30.03 
 
 21.62 
 
 37 
 
 38 
 
 31.13 
 
 21.80 
 
 31.03 
 
 21.93 
 
 30.94 
 
 22.07 
 
 30.84 
 
 22.20 
 
 38 
 
 39 
 
 31.95 
 
 22.37 
 
 31.85 
 
 22.51 
 
 31.75 
 
 22.65 
 
 31.65 
 
 22.79 
 
 39 
 
 40 
 
 32.77 
 
 22.94 
 
 32.67 
 
 23.09 
 
 32.56 
 
 23.23 
 
 32.46 
 
 23.37 
 
 40 
 
 41 
 
 33.59 
 
 23.52 
 
 33.48 
 
 23.66 
 
 33. 3S 
 
 23.81 
 
 33.27 
 
 23.95 
 
 41 
 
 42 
 
 34.40 
 
 24.09 
 
 34.30 
 
 24.24 
 
 34.19 
 
 24.39 
 
 34.09 
 
 24.54 
 
 42 
 
 43 
 
 35.22 
 
 24.66 
 
 35.12 
 
 24.82 
 
 35.01 
 
 24.97 
 
 34.90 
 
 25.12 
 
 43 
 
 44 
 
 36.04 
 
 25 . 24 
 
 35.93 
 
 25.39 
 
 35.82 
 
 25.55 
 
 35.71 
 
 25.71 
 
 44 
 
 45 
 
 36.86 
 
 25.81 
 
 36.75 
 
 25.97 
 
 36.64 
 
 26.13 
 
 36.52 
 
 26.29 
 
 45 
 
 46 
 
 37.68 
 
 26.38 
 
 37.57 
 
 26.55 
 
 37.45 
 
 26.71 
 
 37.33 
 
 26.88 
 
 46 
 
 47 
 
 38.50 
 
 26.96 
 
 38.38 
 
 27.13 
 
 38.26 
 
 27.29 
 
 38.14 
 
 27.46 
 
 47 
 
 48 
 
 39.32 
 
 27.53 
 
 39.20 
 
 27.70 
 
 39.08 
 
 27.87 
 
 38.96 
 
 28.04 
 
 48 
 
 49 
 
 40.14 
 
 28.11 
 
 40.02 
 
 28.28 
 
 39.89 
 
 28.45 
 
 39.77 
 
 28.63 
 
 49 
 
 50 
 
 40.96 
 
 28.68 
 
 40.83 
 
 28 . 86 
 
 40.71 
 
 29.04 
 
 40.58 
 
 29.21 
 
 50 
 
 i 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 o 
 
 a 
 
 1 
 
 Q 
 
 55 Deg. 
 
 54| Deg. 
 
 54 Deg. 
 
 544 Deg. 
 
 .a 
 a 
 
TRAVERSE TABLE. 
 
 73 
 
 f 
 
 35 Deg. 
 
 35} Deg. 
 
 35 Deg. 
 
 35| Deg. 
 
 s 
 
 o 
 <s 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 a 
 p 
 
 51 
 
 41.78 
 
 29.25 
 
 41.65 
 
 29.43 
 
 41.52 
 
 29.62 
 
 41.39 
 
 29.80 
 
 51 
 
 52 
 
 42.60 
 
 29.83 
 
 42.47 
 
 30.01 
 
 42.33 
 
 30.20 
 
 42.20 
 
 30.38 
 
 52 
 
 53 
 
 43.42 
 
 30.40 
 
 43.28 
 
 30.59 
 
 43.15 
 
 30.78 
 
 43.01 
 
 30.97 
 
 53 
 
 54 
 
 44.23 
 
 30.97 
 
 44.10 
 
 31.17 
 
 43.96 
 
 31.36 
 
 43.82 
 
 31.55 
 
 54 
 
 55 
 
 45.05 
 
 31.55 
 
 44.92 
 
 31.74 
 
 44.78 
 
 31.94 
 
 44.64 
 
 32.13 
 
 55 
 
 56 
 
 45.87 
 
 32.12 
 
 45.73 
 
 32.32 
 
 45.59 
 
 32.52 
 
 45.45 
 
 32.72 
 
 56 
 
 57 
 
 46.69 
 
 32.69 
 
 46.55 
 
 32.90 
 
 46.40 
 
 33.10 
 
 46.26 
 
 33.30 
 
 57 
 
 58 
 
 47.51 
 
 33.27 
 
 47.37 
 
 33.47 
 
 47.22 
 
 33.68 
 
 47.07 
 
 33.89 
 
 58 
 
 59 
 
 43.33 
 
 33.84 
 
 48.18 
 
 34.05 
 
 48.03 
 
 34.26 
 
 47.88 
 
 34.47 
 
 59 
 
 60 
 
 49.15 
 
 34.41 
 
 49.00 
 
 34.63 
 
 48.85 
 
 34.84 
 
 48.69 
 
 35.05 
 
 60 
 
 61 
 
 49.97 
 
 34.99 
 
 49.82 
 
 35.21 
 
 49.66 
 
 35.42 
 
 49.51 
 
 35.64" 
 
 61 
 
 62 
 
 50.79 
 
 35.56 
 
 50.63 
 
 35.78 
 
 50.48 
 
 36.00 
 
 50.32 
 
 36.22 
 
 62 
 
 63 
 
 51.61 
 
 36.14 
 
 51.45 
 
 36.36 
 
 51.29 
 
 36.58 
 
 51.13 
 
 36.81 
 
 63 
 
 64 
 
 52.43 
 
 36.71 
 
 52.27 
 
 36.94 
 
 52.10 
 
 37. 16 
 
 51.94 
 
 37.39 
 
 64 
 
 65 
 
 53.24 
 
 37.28 
 
 53.08 
 
 37.51 
 
 52.92 
 
 37.75 
 
 52.75 
 
 37.98 
 
 65 
 
 66 
 
 54.06 
 
 37 ..86 
 
 53.90 
 
 38.09 
 
 53.73 
 
 38.33 
 
 53.56 
 
 38.56 
 
 66 
 
 67 
 
 54.88 
 
 38.43 
 
 54.71 
 
 38.67 
 
 54.55 
 
 38.91 
 
 54.38 
 
 39 . 14 
 
 67 
 
 68 
 
 55 . 70 
 
 39.00 
 
 55.53 
 
 39.25 
 
 55.36 
 
 39.49 
 
 55.19 
 
 39.73 
 
 68 
 
 69 
 
 56 . 52 
 
 39.58 
 
 56.35 
 
 39.82 
 
 56.17 
 
 40.07 
 
 56.00 
 
 40.31 
 
 69 
 
 70 
 
 57.34 
 
 40.15 
 
 57. 1C 
 
 40 40 
 
 56.99 
 
 40.65 
 
 56.81 
 
 40.90 
 
 70 
 
 71 
 
 58.16 
 
 40 . 72 
 
 57.98 
 
 40.98 
 
 57.80 
 
 41.23 
 
 57.62 
 
 41.48 
 
 71 
 
 72 
 
 58.98 
 
 41.30 
 
 58.80 
 
 41.55 
 
 58.62 
 
 41.81 
 
 58.43 
 
 42.07 
 
 72 
 
 73 
 
 59.80 
 
 41.87 
 
 59.61 
 
 42.13 
 
 59.43 
 
 42.39 
 
 59.24 
 
 42.65 
 
 73 
 
 74 
 
 60.62 
 
 42.44 
 
 60.43 
 
 42.71 
 
 60.24 
 
 42.97 
 
 60.06 
 
 43.23 
 
 74 
 
 75 
 
 61.44 
 
 43.02 
 
 61.25 
 
 43.29 
 
 61.06 
 
 43.55 
 
 60.87 
 
 43.82 
 
 75 
 
 76 
 
 ea.se 
 
 43 . 59 
 
 R2.06 
 
 43.86 
 
 61.87 
 
 44.13 
 
 61.68 
 
 44.40 
 
 76 
 
 77 
 
 63.07 
 
 44.17 
 
 62.88 
 
 44.44 
 
 62.69 
 
 44.71 
 
 62.49 
 
 44.99 
 
 77 
 
 78 
 
 63.89 
 
 44.74 
 
 63.70 
 
 45.02 
 
 63.50 
 
 45 . 29 
 
 63.30 
 
 45.57 
 
 78 
 
 79 
 
 64.71 
 
 45.31 
 
 64.51 
 
 45.59 
 
 64.32 
 
 45.88 
 
 64.11 
 
 46.16 
 
 79 
 
 80 
 
 65.53 
 
 45.89 
 
 65.33 
 
 46.17 
 
 65.13 
 
 46.46 
 
 64.93 
 
 46.74 
 
 80 
 
 81 
 
 66.35 
 
 46.46 
 
 66.15 
 
 46.75 
 
 65.94 
 
 47.04 
 
 65.74 
 
 47.32 
 
 81 
 
 82 
 
 67.17 
 
 47.03 
 
 66.96 
 
 47.33 
 
 66.76 
 
 47.62 
 
 66.55 
 
 47.91 
 
 82 
 
 83 
 
 67.99 
 
 47.61 
 
 67. 78 
 
 47.90 
 
 67.57 
 
 48.20 
 
 67.36 
 
 48.49 
 
 83 
 
 84 
 
 68.81 
 
 48.18 
 
 68.60 
 
 48.48 
 
 68.39 
 
 48.78 
 
 68.17 
 
 49.08 
 
 84 
 
 85 
 
 69.63 
 
 48.75 
 
 69.41 
 
 49.06 
 
 69.20 
 
 49.36 
 
 68.98 
 
 49.66 
 
 85 
 
 86 
 
 70.45 
 
 49.33 
 
 70.23 
 
 49.63 
 
 70.01 
 
 49.94 
 
 69.80 
 
 50.25 
 
 86 
 
 87 
 
 71.27 
 
 49.90 
 
 71.05 
 
 50.21 
 
 70.83 
 
 50.52 
 
 70.61 
 
 50.83 
 
 87 
 
 88 
 
 73.09 
 
 50.47 
 
 71.86 
 
 50.79 
 
 71.64 
 
 51.10 
 
 71.42 
 
 51.41 
 
 88 
 
 89 
 
 72.90 
 
 51.05 
 
 72.68 
 
 51.37 
 
 72.46 
 
 51.68 
 
 72.23 
 
 52.00 
 
 89 
 
 90 
 
 73.72 
 
 51.62 
 
 73.50 
 
 51.94 
 
 
 52.26 
 
 73 . 04 
 
 52.58 
 
 90 
 
 91 
 
 74.54 
 
 52.20 
 
 74 .-31 
 
 52.52 
 
 74708~' 
 
 52.84 
 
 73.85 
 
 53.17 
 
 91 
 
 92 
 
 75.36 
 
 52 . 77 
 
 75.13 
 
 53.10 
 
 74.90 
 
 53.42 
 
 74.66 
 
 53.75 
 
 92 
 
 93 
 
 76.18 
 
 53.34 
 
 75.95 
 
 53.67 
 
 75.71 
 
 54.01 
 
 75.48 
 
 54.34 
 
 93 
 
 94 
 
 77.00 
 
 53.92 
 
 76.76 
 
 54.25 
 
 76.53 
 
 54.59 
 
 76.29 
 
 54.92 
 
 94 
 
 95 
 
 77.82 
 
 54.49 
 
 77.58 
 
 54.83 
 
 77.34 
 
 55.17 
 
 77.10 
 
 55.50 
 
 95 
 
 96 
 
 78.64 
 
 55.06 
 
 78.40 
 
 55.41 
 
 78.16 
 
 55.75 
 
 77.91 
 
 56.09 
 
 96 
 
 97 
 
 79.46 
 
 55.64 
 
 79.21 
 
 55.98 
 
 78.97 
 
 56.33 
 
 78.72 
 
 56.67 
 
 97 
 
 98 
 
 80.28 
 
 56.21 
 
 80.03 
 
 56.56 
 
 79.78 
 
 56.91 
 
 79.53 
 
 57.26 
 
 98 
 
 99 
 
 81.10 
 
 56.78 
 
 80.85 
 
 57.14 
 
 80.60 
 
 57.49 
 
 80.35 
 
 57.84 
 
 99 
 
 100 
 
 81.92 
 
 57.36 
 
 81.66 
 
 57.71 
 
 81.41 
 
 58.07 
 
 81.16 
 
 58.42 
 
 
 o 
 
 e 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 1 
 
 
 
 
 
 5 
 
 
 
 55 Deg. 
 
 54| Deg. 
 
 544 Deg. 
 
 54} Deg. 
 
 Q 
 
74 
 
 TRAVERSE 
 
 o 
 
 36 Deg. 
 
 36iDeg. 
 
 36f Deg. 
 
 36| Deg. 
 
 b 
 
 1" 
 
 
 
 
 
 55" 
 
 p 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 i 
 
 1 
 
 0.81 
 
 0.59 
 
 0.81 
 
 0.59 
 
 0.80 
 
 0.59 
 
 0.80 
 
 0.60 
 
 ] 
 
 2 
 
 1.62 
 
 1.18 
 
 1.61 
 
 1.18 
 
 1.61 
 
 1.19 
 
 1.60 
 
 1.20 
 
 2 
 
 3 
 
 2.43 
 
 1.76 
 
 2.42 
 
 1.77 
 
 2.41 
 
 1.78 
 
 2.40 
 
 1.79 
 
 
 
 4 
 
 3.24 
 
 2.35 
 
 3.23 
 
 2.37 
 
 3.22 
 
 2.38 
 
 3.20 
 
 2.39 
 
 4 
 
 5 
 
 4.05 
 
 2.94 
 
 4.03 
 
 2.96 
 
 4.02 
 
 2.97 
 
 4.01 
 
 2,99 
 
 P 
 
 6 
 
 4.85 
 
 3.53 
 
 4.84 
 
 3.55 
 
 4.82 
 
 3.57 
 
 4,81 
 
 3.59 
 
 e 
 
 7 
 
 5.66 
 
 4.11 
 
 5.65 
 
 4.U 
 
 5.63 
 
 4.16 
 
 5.61 
 
 4.19 
 
 "3 
 
 8 
 
 6.47 
 
 4.70 
 
 6.45 
 
 4.73 
 
 6.43 
 
 4.76 
 
 6,41 
 
 4.79 
 
 8 
 
 9 
 
 7.28 
 
 5,29 
 
 7.26 
 
 5.32 
 
 7.23 
 
 5.35 
 
 7,21 
 
 5.3S 
 
 c 
 
 10 
 
 8.09 
 
 5.88 
 
 8.06 
 
 5.91 
 
 8.04 
 
 5.95 
 
 8.01 
 
 5,98 
 
 10 
 
 11 
 
 8.90 
 
 6.47 
 
 8.87 
 
 6.50 
 
 8.84 
 
 6.54 
 
 8.81 
 
 6.58 
 
 11 
 
 12 
 
 9.71 
 
 7.05 
 
 9.68 
 
 7.10 
 
 9.65 
 
 7.14 
 
 9.61 
 
 7.18 
 
 12 
 
 13 
 
 10.52 
 
 7.64 
 
 10.48 
 
 7.69 
 
 10.45 
 
 7,73 
 
 10.42 
 
 7.78 
 
 13 
 
 14 
 
 11.33 
 
 8.23 
 
 11.29 
 
 8.28 
 
 11.25 
 
 8.33 
 
 11.22 
 
 8.38 
 
 14 
 
 15 
 
 12.14 
 
 8.82 
 
 12.10 
 
 8.87 
 
 12.06 
 
 8.92 
 
 12.02 
 
 8.97 
 
 15 
 
 16 
 
 12.94 
 
 9.40 
 
 12.90 
 
 9.46 
 
 12.86 
 
 9.52 
 
 12,82 
 
 9.57 
 
 16 
 
 17 
 
 13.75 
 
 9.99 
 
 13.71 
 
 10.05 
 
 13.67 
 
 10.11 
 
 13.62 
 
 10.17 
 
 17 
 
 18 
 
 14.56 
 
 10.58 
 
 14.52 
 
 10.64 
 
 14.47 
 
 10,71 
 
 14.42 
 
 10.77 
 
 18 
 
 19 
 
 15.37 
 
 11.17 
 
 15.32 
 
 11.23 
 
 15.27 
 
 11.30 
 
 15.22 
 
 11.37 
 
 19 
 
 20 
 
 16.18 
 
 11.76 
 
 16.13 
 
 11.83 
 
 16.08 
 
 11,90 
 
 16.03 
 
 11.97 
 
 20 
 
 21 
 
 16.99 
 
 12.34 
 
 16.94 
 
 12.42 
 
 16.88 
 
 12.49 
 
 16.83 
 
 12.56 
 
 21 
 
 22 
 
 17.80 
 
 12.93 
 
 17,74 
 
 13.01 
 
 17.68 
 
 13.09 
 
 17.63 
 
 13.16 
 
 22 
 
 23 
 
 18.61 
 
 13.52 
 
 18.55 
 
 13.60 
 
 18,49 
 
 13.68 
 
 18.43 
 
 13.76 
 
 23 
 
 24 
 
 19.42 
 
 14.11 
 
 19,35 
 
 14. 19' 
 
 19v29 
 
 14.28 
 
 19.23 
 
 14.36 
 
 
 25 
 
 20.23 
 
 14.69 
 
 20.16 
 
 14.78 
 
 20.10 
 
 14.87 
 
 20.03 
 
 14.96 
 
 25 
 
 26 
 
 21.03 
 
 15.28 
 
 20.97 
 
 15.37 
 
 9ft-. DO 
 
 15.47 
 
 SO. 83 
 
 1 5 . 50 
 
 26 
 
 27 
 
 21.84 
 
 15.87 
 
 21.77 
 
 15.97 
 
 21.70 
 
 16.06 
 
 21.63 
 
 16.15 
 
 27 
 
 28 
 
 22.65 
 
 16.46 
 
 22.58 
 
 16.56 
 
 22.51 
 
 16.65 
 
 22.44 
 
 16.75 
 
 28 
 
 29 
 
 23.46 
 
 17.05 
 
 23.39 
 
 17.15 
 
 23.31 
 
 17.25 
 
 23.24 
 
 17.35 
 
 29 
 
 30 
 
 24.27 
 
 17.63 
 
 24.19 
 
 17.74 
 
 24.12 
 
 17.84 
 
 24.04 
 
 17.95 
 
 30 
 
 31 
 
 25.08 
 
 18.22 
 
 25.00 
 
 18.33 
 
 24.92 
 
 18.44 
 
 24.84 
 
 18.55 
 
 31 
 
 32 
 
 25.89 
 
 18.81 
 
 25.81 
 
 18.92 
 
 25.72 
 
 19.03 
 
 25.64 
 
 19.15 
 
 32 
 
 33 
 
 26.70 
 
 19.40 
 
 26.61 
 
 19.51 
 
 26.53 
 
 19.63 
 
 26.44 
 
 19.74 
 
 33 
 
 34 
 
 27.51 
 
 19.98 
 
 27.42 
 
 20.10 
 
 27.33 
 
 20.22 
 
 27.24 
 
 20.34 
 
 34 
 
 35 
 
 28.32 
 
 20.57 
 
 28.23 
 
 20.70 
 
 28.13 
 
 20.82 
 
 28.04 
 
 20.94 
 
 35 
 
 36 
 
 29.12 
 
 21.16 
 
 29.03 
 
 21.29 
 
 28.94 
 
 21.41 
 
 28.85 
 
 21.54 
 
 36 
 
 37 
 
 29.93 
 
 21.75 
 
 29.84 
 
 21.88 
 
 29.74 
 
 22.01 
 
 29.65 
 
 22.14 
 
 37 
 
 38 
 
 30.74 
 
 22.34 
 
 30.64 
 
 22.47 
 
 30.55 
 
 22.60 
 
 30.45 
 
 22.74 
 
 38 
 
 39 
 
 31.55 
 
 22.92 
 
 31.45 
 
 23.06 
 
 31.35 
 
 23.20 
 
 31.25 
 
 23.33 
 
 39 
 
 40 
 
 32.36 
 
 23.51 
 
 32.26 
 
 23.65 
 
 32.15 
 
 23.79 
 
 32.05 
 
 23.93 
 
 40 
 
 41 
 
 33.17 
 
 24.10 
 
 33.06 
 
 24.24 
 
 32.96 
 
 24.39 
 
 32.85 
 
 24.53 
 
 41 
 
 42 
 
 33.98 
 
 24.69 
 
 33.87 
 
 24.83 
 
 33.76 
 
 24.98 
 
 33:. 65 
 
 25.13 
 
 42 
 
 43 
 
 34.79 
 
 25.27 
 
 34.68 
 
 25.43 
 
 34.57 
 
 25.58 
 
 34.45 
 
 25.73 
 
 43 
 
 44 
 
 35.60 
 
 25.86 
 
 35.48 
 
 26.02 
 
 35.37 
 
 26.17 
 
 35.26 
 
 26.33 
 
 44 
 
 45 
 
 36.41 
 
 26.45 
 
 36.29 
 
 26.61 
 
 36.17 
 
 26.77 
 
 36.06 
 
 26.92 
 
 45 
 
 46 
 
 37.21 
 
 27.04 
 
 37.10 
 
 27.20 
 
 36.98 
 
 27.36 
 
 36.86 
 
 27.52 
 
 46 
 
 47 
 
 38.02 
 
 27.63 
 
 37.90 
 
 27.79 
 
 37.78 
 
 27.96 
 
 37.66 
 
 28.12 
 
 47 
 
 48 
 
 38.83 
 
 28.21 
 
 38.71 
 
 28.38 
 
 38.59 
 
 28.55 
 
 38.46 
 
 28.72 
 
 48 
 
 49 
 
 39.64 
 
 28.80 
 
 39.52 
 
 28.97 
 
 39.39 
 
 29.15 
 
 39.26 
 
 2,9,32 
 
 49 
 
 50 
 
 40.45 
 
 29.39 
 
 40.32 
 
 29.57 
 
 40.19 
 
 29.74 
 
 40.06 
 
 29.92 
 
 50 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 1 
 
 54 Deg. 
 
 53| Deg. 
 
 53J Deg. 
 
 53i Deg. 
 
 od 
 
 3 
 
TRAVERSE TABLE. 
 
 E 
 
 36 Deg. 
 
 364 Deg. 
 
 36 Deg. 
 
 36| Deg. 
 
 O 
 
 P 
 
 Lat. 
 
 Dep 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 
 
 51 
 
 41.26 
 
 29.9 
 
 41.13 
 
 30.16 
 
 41.00 
 
 30.34 
 
 40.86 
 
 30.51 
 
 51 
 
 52 
 
 42.07 
 
 30.5 
 
 41.94 
 
 30.75 
 
 41.80 
 
 30.93 
 
 41.67 
 
 31.11 
 
 52 
 
 53 
 
 42.88 
 
 31.15 
 
 42.74 
 
 31.34 
 
 42.60 
 
 31.53 
 
 42.47 
 
 31.71 
 
 53 
 
 54 
 
 43.69 
 
 31.74 
 
 43.55 
 
 31.93 
 
 43.41 
 
 32.12 
 
 43.27 
 
 32.31 
 
 54 
 
 55 
 
 44.50 
 
 32.33 
 
 44.35 
 
 32.52 
 
 44.21 
 
 32.72 
 
 44.07 
 
 32.91 
 
 55 
 
 56 
 
 45.30 
 
 32.92 
 
 45. If 
 
 33.11 
 
 45.02 
 
 33.31 
 
 44.87 
 
 33.51 
 
 56 
 
 57 
 
 46.11 
 
 33.50 
 
 45.97 
 
 33.70 
 
 45.82 
 
 33.90 
 
 45.67 
 
 34.10 
 
 57 
 
 58 
 
 46.92 
 
 34.09 
 
 46.77 
 
 34.30 
 
 46.62 
 
 34.50 
 
 46.47 
 
 34.70 
 
 58 
 
 59 
 
 47.73 
 
 34.68 
 
 47.58 
 
 34.89 
 
 47.43 
 
 35 09 
 
 47.27 
 
 35.30 
 
 59 
 
 60 
 
 48.54 
 
 35.27 
 
 48.39 
 
 35.48 
 
 48.23 
 
 35.69 
 
 48.08 
 
 35.90 
 
 60 
 
 61 
 
 49.35 
 
 35.85 
 
 49.19 
 
 36.07 
 
 49.04 
 
 36.28 
 
 48.88 
 
 36.50 
 
 61 
 
 62 
 
 50.16 
 
 36.44 
 
 50.00 
 
 36,66 
 
 49.84 
 
 36.88 
 
 49.68 
 
 37.10 
 
 62 
 
 63 
 
 50.97 
 
 37.03 
 
 50.81 
 
 37.25 
 
 50.64 
 
 37.47 
 
 50.48 
 
 37.69 
 
 - 63 
 
 64 
 
 51.78 
 
 37.62 
 
 51.61 
 
 37.84 
 
 51.45 
 
 38.07 
 
 51.28 
 
 38.29 
 
 64 
 
 65 
 
 52.59 
 
 38,21 
 
 52.42 
 
 38.44 
 
 52.25 
 
 38.66 
 
 52.08 
 
 38.89 
 
 65 
 
 66 
 
 53.40 
 
 38.79 
 
 53.23 
 
 39.03 
 
 53.05 
 
 39.26 
 
 52.88 
 
 39.49 
 
 66 
 
 67 
 
 54.20 
 
 39.38 
 
 54.03 
 
 39 . 62 
 
 53.86 
 
 39.85 
 
 53.68 
 
 40.09 
 
 67 
 
 68 
 
 55.01 
 
 39.97 
 
 54.84 
 
 40,21 
 
 54.66 
 
 40.45 
 
 54.49 
 
 40.69 
 
 68 
 
 69 
 
 55.82 
 
 40.56 
 
 55.64 
 
 40.80 
 
 55.47 
 
 41.04 
 
 55.29 
 
 41.28 
 
 69 
 
 70 
 
 56.63 
 
 41.14 
 
 56.45 
 
 41.39 
 
 56.27 
 
 41.64 
 
 56.09 
 
 41.88 
 
 70 
 
 71 
 
 57.44 
 
 41.73 
 
 57.26 
 
 41.98 
 
 57 ."07 
 
 42.23 
 
 56.89 
 
 42.48 
 
 71 
 
 72 
 
 58.25 
 
 42.32 
 
 58.06 
 
 42.57 
 
 57.88 
 
 42.83 
 
 57.69 
 
 43.08 
 
 72 
 
 73 
 
 59.06 
 
 42.91 
 
 58.87 
 
 43.17 
 
 58.68 
 
 43.42 
 
 58.49 
 
 43.68 
 
 73 
 
 74 
 
 59.87 
 
 43.50 
 
 59.68 
 
 43.76 
 
 59.49 
 
 44.02 
 
 59.29 
 
 44.28 
 
 74 
 
 75 
 
 60.68 
 
 44.08 
 
 60.48 
 
 44.35 
 
 60.29 
 
 44.61 
 
 60.09 
 
 44.87 
 
 75 
 
 76 
 
 61.49 
 
 44.67 
 
 61.29 
 
 44.94 
 
 61.09 
 
 45.21 
 
 60.90 
 
 45.47 
 
 76 
 
 77 
 
 62.29 
 
 45.26 
 
 62.10 
 
 45.53 
 
 61.90 
 
 45.80 
 
 61.70 
 
 46.07 
 
 77 
 
 78 
 
 63.10 
 
 45.85 
 
 62.90 
 
 46.12 
 
 62 . 70 
 
 46.40 
 
 62.50 
 
 46.67 
 
 78 
 
 79 
 
 63.91 
 
 46.43 
 
 63.71 
 
 46.71 
 
 63.50 
 
 46.99 
 
 63.30 
 
 47.27 
 
 79 
 
 80 
 
 64.72 
 
 47.02 
 
 64.52 
 
 47.30 
 
 64.31 
 
 47.59 
 
 64.10 
 
 47.87 
 
 80 
 
 81 
 
 65.53 
 
 47.61 
 
 65.32 
 
 47.90 
 
 65.11 
 
 48.18 
 
 64.90 
 
 48.46 
 
 81 
 
 82 
 
 66.34 
 
 48.20 
 
 66.13 
 
 48.49 
 
 65.92 
 
 48.78 
 
 65.70. 
 
 49.06 
 
 82 
 
 83 
 
 67.15 
 
 48.79 
 
 66.93 
 
 49.08 
 
 66.72 
 
 49.37 
 
 66.50 
 
 49.66 
 
 83 
 
 84 
 
 67.96 
 
 49.37 
 
 67.74 
 
 49.67 
 
 67.52 
 
 49.97 
 
 67.31 
 
 50.26 
 
 84 
 
 85 
 
 68.77 
 
 49.96 
 
 68.55 
 
 50.26 
 
 68.33 
 
 50.56 
 
 68.11 
 
 50.86 
 
 85 
 
 86 
 
 69.58 
 
 50.55 
 
 69.35 
 
 50.85 
 
 69.13 
 
 51.15 
 
 68.91 
 
 51.46 
 
 86 
 
 87 
 
 70,38 
 
 51.14 
 
 70.16 
 
 51.44 
 
 69.94 
 
 51.75 
 
 69.71 
 
 52.05 
 
 87 
 
 88 
 
 71,19 
 
 1.73 
 
 70.97 
 
 52.04 
 
 70.74 
 
 52.34 
 
 70.51 
 
 52 . 65 
 
 88 
 
 89 
 
 72,00 
 
 2.31 
 
 71.77 
 
 52.63 
 
 71.54 
 
 52.94 
 
 71.31 
 
 53.25 
 
 89 
 
 90 
 
 72.81 
 
 2.90 
 
 72.58 
 
 53.22 
 
 72.35 
 
 53.53 
 
 72.11 
 
 53.85 
 
 90 
 
 91 
 
 73.62 
 
 53.49 
 
 73.39 
 
 53.81 
 
 73.15 
 
 54.13 
 
 72.91 
 
 54.45 
 
 91 
 
 92 
 
 74.43 
 
 54.08 
 
 74.19 
 
 54.40 
 
 73.95 
 
 54.72 
 
 73.72 
 
 55.05 
 
 92 
 
 93 
 
 75.24 
 
 54.66 
 
 75.00 
 
 54.99 
 
 74.76 
 
 55.32 
 
 74.52 
 
 55.64 
 
 93 
 
 94 
 
 76,05 
 
 55.25 
 
 75.81 
 
 55.58 
 
 75.56 
 
 55.91 
 
 75.32 
 
 56.24 
 
 94 
 
 95 
 
 76.86 
 
 55.84 
 
 76.61 
 
 56.17 
 
 76.37 
 
 56.51 
 
 76.12 
 
 56.84 
 
 95 
 
 96 
 
 77.67 
 
 56.43 
 
 7.42 
 
 56.77 
 
 77.17 
 
 57.10 
 
 76.92 
 
 57.44 
 
 96 
 
 97 
 
 78.47 
 
 57.02 
 
 8.23 
 
 57.36 
 
 77.97 
 
 57.70 
 
 77.72 
 
 58.04 
 
 97 
 
 98 
 
 79.28 
 
 57.60 
 
 79.03 
 
 57.95 
 
 '8.78 
 
 58.29 
 
 78.52 
 
 58.64 
 
 98 
 
 99 
 
 80.09 
 
 58.19 
 
 9.84 
 
 58.54 
 
 79.58 
 
 58.89 
 
 79.32 
 
 59.23 
 
 99 
 
 100 
 
 80.90 
 
 58.78 
 
 0.64 
 
 59.13 
 
 80.39 
 
 59.48 
 
 80.13 
 
 59.83 
 
 00 
 
 B 
 U 
 
 C 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 I 
 
 I 
 
 54 Deg. 
 
 53| Deg. 
 
 53i Deg. 
 
 534 Deg. 
 
 Q 
 
 12* 
 
76 
 
 TRAVERSE TABLE. 
 
 d 
 
 87 Deg. 
 
 374 Deg. 
 
 37 Deg. 
 
 37| Deg. 
 
 c 
 
 S- 
 
 
 
 
 
 5.' 
 
 1 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 P 
 
 ~T 
 
 80~ 
 
 0.60 
 
 0.80 
 
 0.61 
 
 0.79 
 
 0.61 
 
 0.79 
 
 0.61 
 
 i 
 
 2 
 
 i!eo 
 
 1.20 
 
 1.59 
 
 1.21 
 
 1.59 
 
 1.22 
 
 1.58 
 
 1 .22 
 
 2 
 
 3 
 
 2.40 
 
 1.81 
 
 2.39 
 
 1.82 
 
 2.38 
 
 1.83 
 
 2.37 
 
 1.84 
 
 3 
 
 4 
 
 3.19 
 
 2.41 
 
 3.18 
 
 2.42 
 
 3.17 
 
 2.13 
 
 3.16 
 
 2.45 
 
 4 
 
 5 
 
 3.99 
 
 3.01 
 
 3.98 
 
 3.03 
 
 3.97 
 
 3.04 
 
 3.95 
 
 3.06 
 
 5 
 
 6 
 
 4.79 
 
 3.61 
 
 4.78 
 
 3.63 
 
 4.76 
 
 3.65 
 
 4.74 
 
 3.67 
 
 6 
 
 7 
 
 5.59 
 
 4.21 
 
 5.57 
 
 4.24 
 
 5.55 
 
 4.26 
 
 5.53 
 
 4.29 
 
 7 
 
 8 
 
 6.39 
 
 4.81 
 
 6.37 
 
 4.84 
 
 6.35 
 
 4.87 
 
 6.33 
 
 4.90 
 
 8 
 
 9 
 
 7.19 
 
 5.42 
 
 7.16 
 
 5.45 
 
 7.14 
 
 5.48 
 
 7.12 
 
 5.51 
 
 9 
 
 10 
 
 7.99 
 
 6.02 
 
 7.96 
 
 6.05 
 
 7.93 
 
 6.09 
 
 7.91 
 
 6.12 
 
 10 
 
 11 
 
 8.78 
 
 6.62 
 
 8.76 
 
 6.66 
 
 8.73 
 
 6.70 
 
 8.70 
 
 6.73 
 
 11 
 
 12 
 
 9.58 
 
 7.22 
 
 9.55 
 
 7.26 
 
 9.52 
 
 7.31 
 
 9.49 
 
 7.35 
 
 12 
 
 13 
 
 10.38 
 
 7.82 
 
 10.35 
 
 7.87 
 
 10.31 
 
 7.91 
 
 10.28 
 
 7.96 
 
 13 
 
 14 
 
 11.18 
 
 8.43 
 
 11.14 
 
 8.47 
 
 11.11 
 
 8.52 
 
 11.07 
 
 8.57 
 
 14 
 
 15 
 
 11.98 
 
 9.03 
 
 11.94 
 
 9.08 
 
 11.90 
 
 9.13 
 
 11.86 
 
 9.18 
 
 15 
 
 16 
 
 12.78 
 
 9.63 
 
 12.74 
 
 9.68 
 
 12.69 
 
 9.74 
 
 12.65 
 
 9.80 
 
 16 
 
 17 
 
 13.58 
 
 10.23 
 
 13.53 
 
 10.29 
 
 13.49 
 
 10.35 
 
 13.44 
 
 10.41 
 
 17 
 
 18 
 
 14.38 
 
 10.83 
 
 14.33 
 
 10.90 
 
 14.28 
 
 10.96 
 
 14.23 
 
 11.02 
 
 18 
 
 19 
 
 15.17 
 
 11.43 
 
 15.12 
 
 11.50 
 
 15.07 
 
 11.57 
 
 15.02 
 
 11.63 
 
 19 
 
 20 
 
 15.97 
 
 12.04 
 
 15.92 
 
 12.11 
 
 15.87 
 
 12.18 
 
 15.81 
 
 12.24 
 
 20 
 
 21 
 
 16.77 
 
 12.64 
 
 16.72 
 
 12.71 
 
 16.66 
 
 12.78 
 
 16.60| 12.80 
 
 21 
 
 22 
 
 17.57 
 
 13.24 
 
 17.51 
 
 13.32 
 
 17.45 
 
 13.39 
 
 17.40 
 
 13.47 
 
 22 
 
 23 
 
 18.37 
 
 13.84 
 
 18.31 
 
 13.92 
 
 18.25 
 
 14.00 
 
 18.19 
 
 14.08 
 
 23 
 
 24 
 
 19.17 
 
 14.44 
 
 19.10 
 
 14.53 
 
 19.04 
 
 14.61 
 
 18.98 
 
 14.69 
 
 24 
 
 25 
 
 19.97 
 
 15.05 
 
 19.90 
 
 15.13 
 
 19.83 
 
 15.22 
 
 19.77 
 
 15.31 
 
 25 
 
 26 
 
 20.76 
 
 15.65 
 
 20.70 
 
 15.74 
 
 20.63 
 
 15.83 
 
 20.56 
 
 15.92 
 
 26 
 
 27 
 
 21.56 
 
 16.25 
 
 21.49 
 
 16.34 
 
 21.42 
 
 16.44 
 
 21.35 
 
 16.53 
 
 27 
 
 28 
 
 22.38 
 
 16.85 
 
 22.29 
 
 16.95 
 
 22.21 
 
 17.05 
 
 22.14 
 
 17.14 
 
 28 
 
 29 
 
 23.16 
 
 17.45 
 
 23.08 
 
 17.55 
 
 23'. 01 
 
 17.65 
 
 22,93 
 
 17.75 
 
 29 
 
 30 
 
 23.96 
 
 18.05 
 
 23.88 
 
 18.16 
 
 23.80 
 
 18.26 
 
 23.72 
 
 18.37 
 
 30 
 
 31 
 
 24.76 
 
 18.66 
 
 24.68 
 
 18.76 
 
 24.59 
 
 18.87 
 
 24.51 
 
 18.98 1 31 
 
 32 
 
 25.56 
 
 19.26 
 
 25.47 
 
 19.37 
 
 25.39 
 
 19.48 
 
 25.30 
 
 19.59 1 3-2 
 
 33 
 
 26.35 
 
 19.80 
 
 26.27 
 
 19.97 
 
 26.18 
 
 20.09 
 
 26.09 
 
 20.20 
 
 33 
 
 34 
 
 27.15 
 
 20.46 
 
 27.06 
 
 20.58 
 
 26.97 
 
 20.70 
 
 26.83 
 
 20.82 
 
 34 
 
 35 27.95 
 
 21.06 
 
 27.86 
 
 21.19 
 
 27.77 
 
 21.31 
 
 27.67 
 
 21.43 
 
 35 
 
 36 
 
 28.75 
 
 21.67 
 
 28.66 
 
 21.79 
 
 23.56 
 
 21.92 
 
 28.46 
 
 22.04 
 
 35 
 
 37 
 
 29.55 
 
 22.27 
 
 29.45 
 
 22.40 
 
 29.35 
 
 22.52 
 
 29.26 
 
 22.65 
 
 37 
 
 38 
 
 30.35 
 
 22.87 
 
 30.25 
 
 23.00 
 
 30.15 
 
 23.13 
 
 30.05 
 
 23.26 
 
 33 
 
 39 
 
 31.15 
 
 23.47 
 
 31.04 
 
 23.61 
 
 30.94 
 
 23.74 
 
 30.84 
 
 23.88 
 
 39 
 
 40 
 
 31.95 
 
 24.07 
 
 31.84 
 
 24.21 
 
 31.73 
 
 24.35 
 
 31.63 
 
 24.49 
 
 40 
 
 41 
 
 32.74 
 
 24.67 
 
 32.64 
 
 24.82 
 
 32.53 
 
 24.96 
 
 32.42~ 
 
 25.10 
 
 41 
 
 42 
 
 33.54 
 
 25.28 
 
 33.43 
 
 25.42 
 
 33.32 
 
 25.57 
 
 33.21 
 
 25.71 
 
 42 
 
 43 
 
 34.34 
 
 25.88 
 
 34.23 
 
 26.03 
 
 34.11 
 
 26.18 
 
 34.00 
 
 29.33 
 
 43 
 
 44 
 
 35.14 
 
 26.48 
 
 35.02 
 
 26.63 
 
 34.91 
 
 26.79 
 
 34.79 
 
 26.94 
 
 44 
 
 45 
 
 35.94 
 
 27.08 
 
 35.82 
 
 27.24 
 
 35.70 
 
 27.39 
 
 35.58 
 
 27.55 
 
 45 
 
 46 
 
 36.74 
 
 27.68 
 
 36.62 
 
 27.84 
 
 36.49 
 
 28.00 
 
 36.37 
 
 28.16 
 
 46 
 
 47 
 
 37.54 
 
 28.29 
 
 37.41 
 
 28.45 
 
 37.29 
 
 28.61 
 
 37.16 
 
 28.77 
 
 47 
 
 48 
 
 38.33 
 
 28.89 
 
 38.21 
 
 29.05 
 
 38.08 
 
 29.22 
 
 37.95 
 
 29.39 
 
 43 
 
 49 
 
 39.13 
 
 29.49 
 
 39.00 
 
 29.66 
 
 38.87 
 
 29.83 
 
 38.74 
 
 30.00 
 
 49 
 
 50 
 
 39.93 
 
 30.09 
 
 39.80 
 
 30.26 
 
 39.67 
 
 30.44 
 
 39 . 53 
 
 30.61 
 
 50 
 
 | 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 CJ 
 
 o 
 
 -2 
 
 
 
 
 
 1 
 
 '& 
 
 53 Deg. 
 
 52| Deg. 
 
 52i Deg. 
 
 52J Deg. 
 
 Q 
 
TRAVERSE TABLE. 
 
 77 
 
 d 
 
 37 Deg. 
 
 37* Deg. 
 
 37J Deg. 
 
 37| Deg. 
 
 
 
 1' 
 
 
 
 
 
 2. 
 
 3 
 o 
 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 
 
 51 
 
 40.73 
 
 30.69 
 
 40.60 
 
 30.87 
 
 40.46 
 
 31.05 
 
 40.33 
 
 31.22 
 
 51 
 
 52 
 
 41.53 
 
 31.29 
 
 41.39 
 
 31.48 
 
 41.25 
 
 31.66 
 
 41.12 
 
 31.84 
 
 52 
 
 53 
 
 42.33 
 
 31.90 
 
 42.19 
 
 32.08 
 
 42.05 
 
 32.26 
 
 41.91 
 
 32.45 
 
 53 
 
 54 
 
 43.13 
 
 S>2.50 
 
 42.98 
 
 32.69 
 
 42.84 
 
 32.87 
 
 42.70 
 
 33.06 
 
 54 
 
 55 
 
 43.92 
 
 33.10 
 
 43.78 
 
 33.29 
 
 43.63 
 
 33.48 
 
 43.49 
 
 33.67 
 
 55 
 
 56 
 
 44.72 
 
 33.70 
 
 44.58 
 
 33.90 
 
 44.43 
 
 34.09 
 
 44.28 
 
 34.28 
 
 56 
 
 57 
 
 45.52 
 
 34.30 
 
 45.37 
 
 34.50 
 
 45.22 
 
 34.70 
 
 45.07 
 
 34.90 
 
 57 
 
 58 
 
 46.32 
 
 34.91 
 
 46.17 
 
 35.11 
 
 46.01 
 
 35.31 
 
 45.86 
 
 35.51 
 
 58 
 
 59 
 
 47.12 
 
 35.51 
 
 46.96 
 
 35.71 
 
 46.81 
 
 35.92 
 
 46 . 65 
 
 36.12 
 
 59 
 
 60 
 
 47.92 
 
 36.11 
 
 47.76 
 
 36.32 
 
 47.60 
 
 36.53 
 
 47.44 
 
 36.73 
 
 60 
 
 61 
 
 48 . 72 
 
 36.71 
 
 48.56 
 
 36.92 
 
 48.39 
 
 37.13 
 
 48.23 
 
 37.35 
 
 61 
 
 62 
 
 49.52 
 
 37.31 
 
 49.35 
 
 37.53 
 
 49.19 
 
 37.74 
 
 49.02 
 
 37.96 
 
 62 
 
 63 
 
 50.31 
 
 37.91 
 
 50.15 
 
 38.13 
 
 49.98 
 
 38.35 
 
 49.81 
 
 38.57 
 
 63 
 
 64 
 
 51.11 
 
 38.52 
 
 50.94 
 
 38.74 
 
 50.77 
 
 38.96 
 
 50.60 
 
 39.18 
 
 64 
 
 65 
 
 51.91 
 
 39.12 
 
 51.74 
 
 39.34 
 
 51.57 
 
 39.57 
 
 51.39 
 
 39.79 
 
 65 
 
 66 
 
 52.71 
 
 39.72 
 
 52.54 
 
 39.95 
 
 52.36 
 
 40.18 
 
 52.19 
 
 40.41 
 
 66 
 
 67 
 
 53.51 
 
 40.32 
 
 53.33 
 
 40.55 
 
 53.15 
 
 40.79 
 
 52.98 
 
 41.02 
 
 67 
 
 68 
 
 54.31 
 
 40.92 
 
 54.13 
 
 41.16 
 
 53.95 
 
 41.40 
 
 53.77 
 
 41.63 
 
 68 
 
 69 
 
 55.11' 
 
 41.53 
 
 54 . 92 
 
 41.77 
 
 54.74 
 
 42.00 
 
 54.56 
 
 42.24 
 
 69 
 
 70 
 
 55.90 
 
 42.13 
 
 55.72 
 
 42.37 
 
 55.53 
 
 42.61 
 
 55.35 
 
 42.86 
 
 70 
 
 ~7l 
 
 56.70 
 
 42.73 
 
 56.52 
 
 42.98 
 
 56.33 
 
 43.22 
 
 56.14 
 
 43.47 
 
 71 
 
 72 
 
 57.50 
 
 43.33 
 
 57.31 
 
 43.58 
 
 57.12 
 
 43.83 
 
 56.93 
 
 44.08 
 
 72 
 
 73 
 
 58.30 
 
 43.93 
 
 58.11 
 
 44.19 
 
 57.91 
 
 44.44 
 
 57.72 
 
 44,69 
 
 73 
 
 74 
 
 59.10 
 
 44.53 
 
 58 . 90 
 
 44.79 
 
 58.71 
 
 45.05 
 
 58,51 
 
 45.30 
 
 74 
 
 75 
 
 59.90 
 
 45.14 
 
 59.70 
 
 45.40 
 
 59.50 
 
 45.66 
 
 59,30 
 
 45.92 
 
 75 
 
 76 
 
 60.70 
 
 45 . 74 
 
 60 . 50 
 
 46.00 
 
 60.29 
 
 46.27 
 
 60,09 
 
 46.53 
 
 76 
 
 77 
 
 61.49 
 
 46.34 
 
 61.29 
 
 46.61 
 
 61.09 
 
 46.87 
 
 60,88 
 
 47.14 
 
 77 
 
 78 
 
 62 . 29 
 
 46.94 
 
 62.09 
 
 47.21 
 
 61.88 
 
 47.48 
 
 61,67 
 
 47.75 
 
 78 
 
 79 
 
 63.09 
 
 47.54 
 
 62.88 
 
 47.82 
 
 62.67 
 
 48.09 
 
 62.46 
 
 48.37 
 
 79 
 
 80 
 
 63.89 
 
 48.15 
 
 63.68 
 
 48.42 
 
 63.47 
 
 48.70 
 
 63.26 
 
 48.98 
 
 80 
 
 81 
 
 64.89 
 
 48 . 75 
 
 64.48 
 
 49.03 
 
 64.26 
 
 49.31 
 
 64,05 
 
 49.59 
 
 81 
 
 82 
 
 65.49 
 
 49.35 
 
 65.27 
 
 49.63 
 
 65.05 
 
 49.92 
 
 64,84 
 
 50,20 
 
 82 
 
 83 
 
 66.29 
 
 49.95 
 
 66.07 
 
 50 . 24 
 
 65.85 
 
 50.53 
 
 65.63 
 
 50.81 
 
 83 
 
 84 
 
 67.09 
 
 50.55 
 
 66.86 
 
 50 . 84 
 
 66.64 
 
 51.14 
 
 66 ,42 
 
 51,43 
 
 84 
 
 85 
 
 67.88 
 
 51.15 
 
 67.66 
 
 51.45 
 
 67.43 
 
 51.74 
 
 67,21 
 
 52.04 
 
 85 
 
 86 
 
 68.68 
 
 51.76 
 
 68.46 
 
 52.06 
 
 68.23 
 
 52.35 
 
 68.00 
 
 52,65 
 
 86 
 
 87 
 
 69.48 
 
 52.36 
 
 69 . 25 
 
 52 . 66 
 
 69.02 
 
 52.96 
 
 68.79 
 
 53 .26 
 
 87 
 
 88 
 
 70.28 
 
 52.96 
 
 70.05 
 
 53 . 27 
 
 69.82 
 
 53 . 57 
 
 69.58 
 
 53,88 
 
 88 
 
 89 
 
 71.08 
 
 53.56 
 
 70.84 
 
 53.87 
 
 70.61 
 
 54.18 
 
 70.37 
 
 54.49 
 
 89 
 
 90 
 
 71.88 
 
 54.16 
 
 71.64 
 
 54 ;48 
 
 71.40 
 
 54.79 
 
 71.16 
 
 55.10 
 
 90 
 
 91 
 
 72.68 
 
 54.77 
 
 72.44 
 
 55 . 08 
 
 72.20 
 
 55.40 
 
 71,95 
 
 55.71 
 
 " 91 
 
 92 
 
 73.47 
 
 55 . 37 
 
 73 . 23 
 
 55 . 69 
 
 72.99 
 
 56.01 
 
 72,74 
 
 56 . 32 
 
 92 
 
 93 
 
 74.27 
 
 55.97 
 
 74.03 
 
 56.29 
 
 73.78 
 
 56.61 
 
 73.53 
 
 56.94 
 
 93 
 
 94 
 
 75.07 
 
 56.57 
 
 74.82 
 
 56 . 90 
 
 74.58 
 
 57.22 
 
 74.32 
 
 57.55 
 
 94 
 
 95 
 
 75.87 
 
 57.17 
 
 75.62 
 
 57.50 
 
 75.37 
 
 57.83 
 
 75.12 
 
 58.16 
 
 95 
 
 96 
 
 76.67 
 
 57.77 
 
 76.42 
 
 58.11 
 
 76.16 
 
 58.44 
 
 75.91 
 
 58.77 
 
 93 
 
 97 
 
 77.47 
 
 58.38 
 
 77.21 
 
 58.71 
 
 76.96 
 
 59.05 
 
 76 . 70 
 
 59.39 
 
 97 
 
 98 
 
 78 . 27 
 
 58,98 
 
 78.01 
 
 59.32 
 
 77.75 
 
 59.66 
 
 77.49 
 
 60.00 
 
 98 
 
 99 
 
 79.06 
 
 59.58 
 
 78.80 
 
 59.92 
 
 78.54 
 
 60.27 
 
 78.28 
 
 60.61 
 
 99 
 
 100 
 
 79.86 
 
 60.18 
 
 79.60 
 
 60.53 
 
 79.34 
 
 60.88 
 
 79.07 
 
 61.22 
 
 100 
 
 | 
 
 Dcp. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 o* 
 
 o 
 
 a 
 
 1 
 
 
 
 
 m 
 
 1 
 
 s 
 
 53 Deg. 
 
 52| Deg. 
 
 52 Deg. 
 
 524 Deg. 
 
 Q 
 
78 
 
 TBAVHRSE TABLE. 
 
 o 
 
 38 Deg. 
 
 38* Deg. 
 
 38i Deg. 
 
 38| Deg. 
 
 O 
 
 1 
 
 
 
 
 
 1" 
 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 E 
 
 o 
 
 
 1 
 
 0.79 
 
 0.62 
 
 0.79 
 
 0.62 
 
 0.78 
 
 0.62 
 
 0.78 
 
 0.63 
 
 1 
 
 2 
 
 1.58 
 
 1.23 
 
 1,57 
 
 1.24 
 
 1.57 
 
 1.24 
 
 1.56 
 
 1.25 
 
 2 
 
 3 
 
 2.36 
 
 1.85 
 
 2.36 
 
 1.86 
 
 2.35 
 
 1.87 
 
 2.34 
 
 1.88 
 
 3 
 
 4 
 
 3.15 
 
 2.46 
 
 3.14 
 
 2.48 
 
 3.13 
 
 2.49 
 
 3.12 
 
 2.50 
 
 4 
 
 5 
 
 3.94 
 
 3.08 
 
 3.93 
 
 3.10 
 
 3.91 
 
 3.11 
 
 3.90 
 
 3.13 
 
 5 
 
 G 
 
 4.73 
 
 3.69 
 
 4.71 
 
 3.71 
 
 4.70 
 
 3.74 
 
 4.68 
 
 3.76 
 
 6 
 
 7 
 
 5.52 
 
 4.31 
 
 5.50 
 
 4.33 
 
 5.48 
 
 4.36 
 
 5.46 
 
 4.38 
 
 7 
 
 8 
 
 6.30 4.93 
 
 6.28 
 
 4.95 
 
 6.26 
 
 4.98 
 
 6.24 
 
 5.01 
 
 8 
 
 9 
 
 7.09 5.54 
 
 7.07 
 
 5.57 
 
 7.04 
 
 5.60 
 
 7.02 
 
 5.63 
 
 9 
 
 10 
 
 7.88J 6.16 
 
 7.85 
 
 6.19 
 
 7.83 
 
 6.23 
 
 7.80 
 
 6.26 
 
 10 
 
 11 
 
 : 8.67 
 
 6.77 
 
 8.64 
 
 6.81 
 
 8.61 
 
 6.85 
 
 8.58 
 
 6.89 
 
 11 
 
 12 
 
 9.46 
 
 7.39 
 
 9.42 
 
 7.43 
 
 9.39 
 
 7.47 
 
 9.36 
 
 7.51 
 
 12 
 
 13 
 
 10.24 
 
 8.00 
 
 10.21 
 
 8.05 
 
 10.17 
 
 8.09 
 
 10.14 
 
 8.14 
 
 13 
 
 14 
 
 11.03 
 
 8.62 
 
 10.99 
 
 8.67 
 
 10.96 
 
 8.72 
 
 10.92 
 
 8.76 
 
 14 
 
 15 
 
 11.82 
 
 9.23 
 
 11.78 
 
 9.29 
 
 11.74 
 
 9.34 
 
 11.70 
 
 9.39 
 
 15 
 
 16 
 
 12.61 
 
 9.85 
 
 12.57 
 
 9.91 
 
 12.52 
 
 9.96 
 
 12.48 
 
 10.01 
 
 16 
 
 17 
 
 13.40 
 
 10.47 
 
 13.35 
 
 10.52 
 
 13.30 
 
 10.58 
 
 13.26 
 
 10.64 
 
 17 
 
 .18 
 
 14.18 
 
 11.08 
 
 14.14 
 
 11.14 
 
 14.09 
 
 11.21 
 
 14.04 
 
 11.27 
 
 18 
 
 19 
 
 14.97 
 
 11.70 
 
 14.92 
 
 11.76 
 
 14.87 
 
 11.83 
 
 14.82 
 
 11.89 
 
 19 
 
 20 
 
 15.76 
 
 12.31 
 
 15.71 
 
 12.38 
 
 15.65 
 
 12.45 
 
 15.60 
 
 12.52 
 
 20 
 
 21 
 
 16.55 
 
 12.93 
 
 16.49 
 
 13.00 
 
 16.43 
 
 13.07 
 
 16.38 
 
 13.14 
 
 21 
 
 22 
 
 17.34 
 
 13.54 
 
 17.28 
 
 13.62 
 
 17.22 
 
 13.70 
 
 17.16 
 
 13.77 
 
 22 
 
 23 
 
 18.12 
 
 14.16 
 
 18.06 
 
 14.24 
 
 18.00 
 
 14.32 
 
 17.94 
 
 14.40 
 
 23 
 
 24 
 
 18/91 
 
 14.78 
 
 18.85 
 
 14.86 
 
 18.78 
 
 14.94 
 
 18.72 
 
 15.02 
 
 24 
 
 25 
 
 19.70 
 
 15.39 
 
 19.63 
 
 15.48 
 
 19.57 
 
 15.56 
 
 19.50 
 
 15.65 
 
 25 
 
 26 
 
 20.49 
 
 16.01 
 
 20.42 
 
 16.10 
 
 20 . 35 
 
 16.19 
 
 20.28 
 
 16.27 
 
 26 
 
 27 
 
 21.28 
 
 16.62 
 
 21.20, 
 
 16.72 
 
 21.13 
 
 16.81 
 
 21.06 
 
 16.90 
 
 27 
 
 28 
 
 22.06 
 
 17.24 
 
 21.99 
 
 17.33 
 
 21.91 
 
 17.43 
 
 21.84 
 
 17.53 
 
 28 
 
 29 
 
 22.85 
 
 17.85 
 
 22.77 
 
 17.95 
 
 22.70 
 
 18.05 
 
 22.62 
 
 18.15 
 
 29 
 
 30 
 
 23.64 
 
 18.47 
 
 23 . 56 
 
 18.57 
 
 23.48 
 
 18.68 
 
 23.40 
 
 18.78 
 
 30 
 
 31 
 
 24.43 
 
 19.09 
 
 24.34 
 
 19.19 
 
 24 . 26 
 
 19.30 
 
 24.18 
 
 19.40 
 
 31 
 
 32 
 
 25.22 
 
 19.70 
 
 25.13 
 
 19.81 
 
 25.04 
 
 19.92 
 
 24.96 
 
 20.03 
 
 32 
 
 33 
 
 26.00 
 
 20.32 
 
 25.92 
 
 20.43 
 
 25.83 
 
 20.54 
 
 25.74 
 
 20.66 
 
 33 
 
 34 
 
 26.79 
 
 20 . 93 
 
 26.70 
 
 21.05 
 
 26.61 
 
 21.17 
 
 26.52 
 
 21.28 
 
 34 
 
 35 
 
 27.58 
 
 21.55 
 
 27.49 
 
 21.67 
 
 27.39 
 
 21.79 
 
 27.30 
 
 21.91 
 
 35 
 
 36 
 
 28.37 
 
 22.16 
 
 28.27 
 
 22.29 
 
 28.17 
 
 22.41 
 
 28.08 
 
 22.53 
 
 36 
 
 37 
 
 29.16 
 
 22.78 
 
 29.06 
 
 22.91 
 
 28.96 
 
 23.03 
 
 28.86 
 
 23.16 
 
 37 
 
 38 
 
 29.94 
 
 23.40 
 
 29.84 
 
 23.53 
 
 29.74 
 
 23.66 
 
 29.64 
 
 23.79 
 
 38 
 
 39 
 
 30,73 
 
 24.01 
 
 30.63 
 
 24.14 
 
 30 . 52 
 
 24.28 
 
 30.42 
 
 24.41 
 
 39 
 
 40 
 
 31.52 
 
 24.63 
 
 31.41 
 
 24.76 
 
 31.30 
 
 24.90 
 
 31.20 
 
 25.04 
 
 40 
 
 41 
 
 32.31 
 
 25 . 24 
 
 32.20 
 
 25.38 
 
 32.09 
 
 25.52 
 
 31.98 
 
 25 . 66 
 
 41 
 
 42 
 
 33.10 
 
 25.86 
 
 32 . 98 
 
 26.00 
 
 32.87 
 
 26.15 
 
 32.76 
 
 26.29 
 
 42 
 
 43 
 
 33.88 
 
 26.47 
 
 33.77 
 
 26 . 62 
 
 33.65 
 
 26.77 
 
 33.53 
 
 26.91 
 
 43 
 
 44 
 
 34.67 
 
 27.09 
 
 34.55 
 
 27.24 
 
 34.43 
 
 27.39 
 
 34.31 
 
 27.54 
 
 44 
 
 45 
 
 35.46 
 
 27.70 
 
 35.34 
 
 27,86 
 
 35.22 
 
 28.01 
 
 35.09 
 
 28.17 
 
 45 
 
 46 
 
 36.25 
 
 28.32 
 
 36.12 
 
 28.48 
 
 36.00 
 
 28.64 
 
 35.87 
 
 28.79 
 
 46 
 
 47 
 
 37.04 
 
 28 . 94 
 
 36.91 
 
 29.10 
 
 36.78 
 
 29.26 
 
 36.65 
 
 29.42 
 
 47 
 
 48 
 
 37.82 
 
 29.55 
 
 37.70 
 
 29.72 
 
 37.57 
 
 29.88 
 
 37.43 
 
 30.04 
 
 48 
 
 49 
 
 38.61 
 
 30.17 
 
 38.48 
 
 30.34 
 
 38.35 
 
 30.50 
 
 38.21 
 
 30.67 
 
 49 
 
 50 
 
 39.40 
 
 30.78 
 
 39.27 
 
 30.95 
 
 39.13 
 
 31.13 
 
 38.99 
 
 31.30 
 
 50 
 
 1 
 
 Dep.- 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 I 
 Q 
 
 52 Deg. 
 
 51 f Deg. 
 
 51i Deg. 
 
 5U Deg. 
 
 d 
 In 
 
 Q 
 
TRAVERSE TABLE. 
 
 79 
 
 2 
 
 38 Deg. 
 
 38i Deg. 
 
 38i Deg. 
 
 38} Deg. 
 
 O 
 
 1 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 P 
 
 51 
 
 40.19 
 
 31.40 
 
 40.05 
 
 31.57 
 
 39.91 
 
 31.75 
 
 39.77 
 
 3J.92 
 
 51 
 
 52 
 
 40.98 
 
 32.01 
 
 40.84 
 
 32.19 
 
 40.70 
 
 32.37 
 
 40.55 
 
 32.55 
 
 52 
 
 53 
 
 41.76 
 
 32.63 
 
 41.62 
 
 32.81 
 
 41.48 
 
 32.99 
 
 41.33 
 
 33.17 
 
 53 
 
 54 
 
 42.55 
 
 33.25 
 
 42.41 
 
 33.43 
 
 42.26 
 
 33.62 
 
 42.11 
 
 33.80 
 
 54 
 
 55 
 
 43.34 
 
 33.86 
 
 43.19 
 
 34.05 
 
 43.04 
 
 34.24 
 
 42.89 
 
 34.43 
 
 55 
 
 56 
 
 44.13 
 
 34.48 
 
 43.98 
 
 34.67 
 
 43.83 
 
 34.86 
 
 43.67 
 
 35.05 
 
 56 
 
 57 
 
 44.92 
 
 35.09 
 
 44.76 
 
 35.29 
 
 44.61 
 
 35.48 
 
 44.45 
 
 35.68 
 
 57 
 
 58 
 
 45.70 
 
 35.71 
 
 45.55 35.91 
 
 45.39 
 
 36.11 
 
 45.23 
 
 36.30 
 
 58 
 
 59 
 
 46.49 
 
 36.32 
 
 46.33 
 
 36.53 
 
 46.17 
 
 36.73 
 
 46.01 
 
 36.93 
 
 59 
 
 60 
 
 47.28 
 
 36.94 
 
 47.12 
 
 37.15 
 
 46.96 
 
 37.35 
 
 46.79 
 
 37.56 
 
 60 
 
 61 
 
 48.07 
 
 37.56 
 
 47.90 
 
 37.76 
 
 47.74 
 
 37.97 
 
 47.57 
 
 38.18 
 
 61 
 
 62 
 
 48.86 
 
 38.17 
 
 48.69 
 
 38.38 
 
 48.52 
 
 38.60 
 
 48.35 
 
 38.81 
 
 62 
 
 63 
 
 49.64 
 
 38.79 
 
 49.47 
 
 39.00 
 
 49.30 
 
 39.22 
 
 49.13 
 
 39.43 
 
 63 
 
 64 
 
 50.43 
 
 39.40 
 
 50.26 
 
 39.62 
 
 50.09 
 
 39.84 
 
 49.91 
 
 40.06 
 
 64 
 
 65 
 
 51.22 
 
 40.02 
 
 51.05 
 
 40.24 
 
 50.87 
 
 40.46 
 
 50.69 
 
 40.68 
 
 65 
 
 66 
 
 52.01 
 
 40.63 
 
 51.83 
 
 40.86 
 
 51.65 
 
 41.09 
 
 51.47 
 
 41.31 
 
 66 
 
 67 
 
 52.80 
 
 41.25 
 
 52.62 
 
 41.48 
 
 52.43 
 
 41.71 
 
 52.25 
 
 41.94 
 
 67 
 
 68 
 
 53.58 
 
 41.86 
 
 53.40 
 
 42.10 
 
 53.22 
 
 42.33 
 
 53.03 
 
 42.56 
 
 68 
 
 69 
 
 54.37 
 
 42.48 
 
 54.19 
 
 42.72 
 
 54.00 
 
 42.95 
 
 53.81 
 
 43.19 
 
 69 
 
 70 
 
 55.16 
 
 43.10 
 
 54.97 
 
 43.34 
 
 54.78 
 
 43.58 
 
 54.59 
 
 43.81 
 
 70 
 
 71 
 
 55 . 95 
 
 43.71 
 
 55.76 
 
 43.96 
 
 55.57 
 
 44.20 
 
 55.37 
 
 44.44 
 
 71 
 
 72 
 
 56.74 
 
 44.33 
 
 56.54 
 
 44.57 
 
 56.35 
 
 44.82 
 
 56.15 
 
 45.07 
 
 72 
 
 73 
 
 57.52 
 
 44.94 
 
 57.33 
 
 45.19 
 
 57.13 
 
 45.44 
 
 56.93- 
 
 45.69 
 
 73 
 
 74 
 
 58.31 
 
 45,56 
 
 58.11 
 
 45.81 
 
 57.91 
 
 46.07 
 
 57.71 
 
 46.32 
 
 74 
 
 TO 
 
 59.10 
 
 4^.17 
 
 58.00 
 
 46.48 
 
 58.70 
 
 46.69 
 
 58.49 
 
 46.94 
 
 75 
 
 76 
 
 59.89 
 
 46.79 
 
 59.68 
 
 47.05 
 
 59.48 
 
 47.31 
 
 59.27 
 
 47.57 
 
 76 
 
 77 
 
 60.68 
 
 47.41 
 
 60.47 
 
 47.67 
 
 60.26 
 
 47.93 
 
 60.05 
 
 48.20 
 
 77 
 
 78 
 
 61.46 
 
 48.02 
 
 61.25 
 
 48.29 
 
 61.04 
 
 48.56 
 
 60.83 
 
 48.82 
 
 78 
 
 79 
 
 62.25 
 
 48.64 
 
 62.04 
 
 48.91 
 
 61.83 
 
 49.18 
 
 61.61 
 
 49.45 
 
 79 
 
 80 
 
 63.04 
 
 49,25 
 
 62.83 
 
 49.53 
 
 62.61 
 
 49.80 
 
 62.39 
 
 50.07 
 
 80 
 
 81 
 
 63.83 
 
 49.87 
 
 63.61 
 
 50.15 
 
 63.39 
 
 50,42 
 
 63.17 
 
 50.70 
 
 81 
 
 82 
 
 64.62 
 
 50.48 
 
 64.40 
 
 50.77 
 
 64.17 
 
 51.05 
 
 63.95 
 
 51.33 
 
 82 
 
 83 
 
 65.40 
 
 51,10 
 
 65.18 
 
 51.38 
 
 64.96 
 
 51.67 
 
 64.73 
 
 51.95 
 
 83 
 
 84 
 
 66.19 
 
 51.72 
 
 65.97 
 
 52.00 
 
 65.74 
 
 52.29 
 
 65.51 
 
 52.58 
 
 84 
 
 85 
 
 66.98 
 
 52.33 
 
 66.75 
 
 52.62 
 
 66.52 
 
 52.91 
 
 66.29 
 
 53.20 
 
 85 
 
 86 
 
 67.77 
 
 52.95 
 
 67.54 
 
 53.^4 
 
 67.30 
 
 53.54 
 
 67.07 
 
 53.83 
 
 86 
 
 87 
 
 68.56 
 
 53.56 
 
 68.32 
 
 53.86 
 
 68.09 
 
 54.16 
 
 67,85 
 
 54.46 
 
 87 
 
 88 
 
 69.34 
 
 54.18 
 
 6.0 . 1 1 
 
 54.48 
 
 68.87 
 
 54,78 
 
 68.63 
 
 55.08 
 
 88 
 
 89 
 
 70.13 
 
 54.79 
 
 69.89 
 
 55.10 
 
 69.65 
 
 55.40 
 
 69.41 
 
 55.71 
 
 89 
 
 90 
 
 70.92 
 
 55.41 
 
 70.68 
 
 55 . 72 
 
 70.43 
 
 56.03 
 
 70.19 
 
 56.33 
 
 90 
 
 91 
 
 71.71 
 
 56.03 
 
 71,46 
 
 56.34! 
 
 71.22 
 
 56 . 65 
 
 70.97 
 
 50.96 
 
 91 
 
 92 
 
 72.50 
 
 56.64 
 
 72,25 
 
 56 . 96 
 
 72.00 
 
 57.27 
 
 71.75 
 
 57.58 
 
 92 
 
 93 
 
 73.28 
 
 57,26 
 
 73.03 
 
 57.58 ; 
 
 72.78 
 
 57.89 
 
 72.53 
 
 58.21 
 
 93 
 
 94 
 
 74.07 
 
 57.87 
 
 73.82 
 
 58.19 
 
 73.57 
 
 58.52 
 
 73.31 
 
 58.84 
 
 94 
 
 95 
 
 74.86 
 
 58.49 
 
 74.61 
 
 58.81 74.35 
 
 59.14 
 
 74,09 
 
 59.46 
 
 95 
 
 96 
 
 75.65 
 
 59.10 
 
 75.39 
 
 59.43 
 
 75.13 
 
 59.76 
 
 74,8-7 
 
 60,09 
 
 96 
 
 97 
 
 76.44 
 
 59.72 
 
 76.18 
 
 60.05 
 
 75,91 
 
 60.33 
 
 75.65 
 
 60,71 
 
 97 
 
 98 
 
 77.22 
 
 60.33 
 
 76.96 
 
 60.67 
 
 76.70 
 
 61.01 
 
 76.43 
 
 61.34 
 
 98 
 
 99 
 
 78.01 
 
 60.95 
 
 77.75 
 
 61.29 
 
 77.48 
 
 61.63 
 
 77.21 
 
 61. 97 
 
 99 
 
 100 
 
 78.80 
 
 61.57 
 
 78.53 
 
 61.91 
 
 78.26 
 
 62.25 
 
 77.99 
 
 62.59 
 
 100 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 La,t. 
 
 Dep. 
 
 Lat. 
 
 I 
 
 1 
 
 52 Deg. 
 
 51| Deg. 
 
 51 i Deg. 
 
 5H Deg. 
 
 Q 
 
TRAVERSE TABLE, 
 
 G 
 
 39 Deg. 
 
 39i Deg. 
 
 39 Deg. 
 
 39f Deg. 
 
 s- 
 
 1 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 
 
 1 
 
 0.78 
 
 0.63 
 
 0.77 
 
 0.63 
 
 0.77 
 
 0.64 
 
 0.77 
 
 0.64 
 
 1 
 
 2 
 
 1.55 
 
 1.26 
 
 1.55 
 
 1.27 
 
 1.54 
 
 1.27 
 
 1.54 
 
 1.28 
 
 
 3 
 
 2.33 
 
 1.89 
 
 2.32 
 
 1.90 
 
 2.31 
 
 1.91 
 
 2.31 
 
 1.92 
 
 j 
 
 4 
 
 3.11 
 
 2.52 
 
 3.10 
 
 2.53 
 
 3.09 
 
 2.54 
 
 3.08 
 
 2.56 
 
 4 
 
 5 
 
 3.89 
 
 3.15 
 
 3.87 
 
 3.16 
 
 3.86 
 
 3.18 
 
 3.84 
 
 3.20 
 
 5 
 
 6 
 
 4.66 
 
 3.78 
 
 4.65 
 
 3.80 
 
 4.63 
 
 3.82 
 
 4.61 
 
 3.84 
 
 6 
 
 7 
 
 5.44 
 
 4.41 
 
 5.42 
 
 4.43 
 
 5.40 
 
 4.45 
 
 5.38 
 
 4.48 
 
 7 
 
 8 
 
 6.22 
 
 5.03 
 
 6.20 
 
 5.06 
 
 6.17 
 
 5.09 
 
 6.15 
 
 5.12 
 
 8 
 
 9 
 
 6.99 
 
 5.66 
 
 6.97 
 
 5.69 
 
 6.94 
 
 5.72 
 
 6.92 
 
 5.75 
 
 9 
 
 10 
 
 7.77 
 
 6.29 
 
 7.74 
 
 6.33 
 
 7.72 
 
 6.36 
 
 7.69 
 
 6.39 
 
 10 
 
 11 
 
 8.55 
 
 6.92 
 
 8.52 
 
 6.96 
 
 8.49 
 
 7.00 
 
 8.46 
 
 7.03 
 
 11 
 
 12 
 
 9.33 
 
 7.55 
 
 9.29 
 
 7.59 
 
 9.26 
 
 ,7.63 
 
 9.23 
 
 7.67 
 
 12 
 
 13 
 
 10.10 
 
 8.18 
 
 10.07 
 
 8.23 
 
 10.03 
 
 .27 
 
 9.99 
 
 8.31 
 
 13 
 
 14 
 
 10.88 
 
 8.81 
 
 10.84 
 
 8.86 
 
 10.80 
 
 8.91 
 
 10.76 
 
 8.95 
 
 14 
 
 15 
 
 11.66 
 
 9.44 
 
 11.62 
 
 9.49 
 
 11.57 
 
 9.54 
 
 11.53 
 
 9.59 
 
 15 
 
 16 
 
 12.43 10.07 
 
 12.39 
 
 10.12 
 
 12.35 
 
 10.18 
 
 12.30 
 
 10.23 
 
 16 
 
 17 
 
 13.21 
 
 10.70 
 
 13.16 
 
 10.76 
 
 13.12 
 
 10.81 
 
 13.07 
 
 10.87 
 
 17 
 
 18 
 
 13.99 
 
 11.33 
 
 13.94 
 
 11.39 
 
 13.89 
 
 11.45 
 
 13.84 
 
 11.51 
 
 18 
 
 19 
 
 14.77 
 
 11.96 
 
 14.71 
 
 12.02 
 
 14.66 
 
 12.09 
 
 14.61 
 
 12.15 
 
 19 
 
 20 
 
 15.54 
 
 12.59 
 
 15.49 
 
 12.65 
 
 15.43 
 
 12.72 
 
 15.38 
 
 12.79 
 
 20 
 
 21 
 
 16.32 
 
 13.22 
 
 16.26 
 
 13.29 
 
 16.20 
 
 13.36 
 
 16.15 
 
 13.43 
 
 21 
 
 22 
 
 17.10 
 
 13.84 
 
 17.04 
 
 13.92 
 
 16.98 
 
 13.99 
 
 16.91 
 
 14.07 
 
 22 
 
 23 
 
 17.87 
 
 14.47 
 
 17.81 
 
 14.55 
 
 17.75 
 
 14.63 
 
 17.68 
 
 14.71 
 
 23 
 
 24 
 
 18.65 
 
 15.10 
 
 18.59 
 
 15.18 
 
 18.52 
 
 15.27 
 
 18.45 
 
 15,35 
 
 24 
 
 20 
 
 19.43 
 
 15.73 
 
 19.36 
 
 15.82 
 
 19.29 
 
 15.90 
 
 19.22 
 
 15.99 
 
 25 
 
 26 
 
 20.21 
 
 16.36 
 
 20.13 
 
 16.45 
 
 20.06 
 
 16.54 
 
 19.99 
 
 10.63 
 
 26 
 
 27 
 
 20.98 
 
 16.99 
 
 20.91 
 
 17.08 
 
 20.83 
 
 17.17 
 
 20.76 
 
 17.26 
 
 27 
 
 28 
 
 21.76 
 
 17.62 
 
 21.68 
 
 17.72 
 
 21.61 
 
 17.81 
 
 21.53 
 
 17.90 
 
 28 
 
 29 
 
 22.54 
 
 18.25 
 
 22.46 
 
 18.35 
 
 22.38 
 
 18.45 
 
 22.30 
 
 18.54" 
 
 29 
 
 30 
 
 23.31 
 
 18.88 
 
 23.23 
 
 18.98 
 
 23.15 
 
 19.08 
 
 23.07 
 
 19.18 
 
 30 
 
 31 
 
 24.09 
 
 19.51 
 
 24.01 
 
 19.61 
 
 23.92 
 
 19.72 
 
 23.83 
 
 19.82 
 
 31 
 
 32 
 
 24.87 
 
 20.14 
 
 24.78 
 
 20.25 
 
 24.69 
 
 20.35 
 
 24.60 
 
 20.46 
 
 32 
 
 33 25.65 
 
 20.77 
 
 25.55 
 
 20.88 
 
 25 . 46 
 
 20.99 
 
 25.37 
 
 21.10 
 
 33 
 
 34 
 
 26.42 
 
 21.40 
 
 26.33 
 
 21.51 
 
 26.24 
 
 21.63 
 
 26.14 
 
 21.74 
 
 34 
 
 35 
 
 27.20 
 
 22.03 
 
 27.10 
 
 22.14 
 
 27.01 
 
 22.26 
 
 26.91 
 
 22.38 
 
 35 
 
 36 27.98 
 
 22.66 
 
 27.88 
 
 22.78 
 
 27.78 
 
 22.90 
 
 27.68 
 
 23.02 
 
 36 
 
 37 | 28.75 
 
 23.28 
 
 28.65 
 
 23.41 
 
 28 . 55 
 
 23.53 
 
 28.45 
 
 23.66 
 
 37 
 
 38 
 
 29 . 53 
 
 23.91 
 
 29.43 
 
 24.04 
 
 29.32 
 
 24.17 
 
 29.22 
 
 24.30 
 
 38 
 
 39 
 
 30.31 24.54 
 
 30 . 20 
 
 24.68 
 
 30.09 
 
 24.81 
 
 29.98 
 
 24.94 
 
 39 
 
 40 
 
 31.09 125.17 
 
 30.98 
 
 25.31 
 
 30.86 
 
 25.44 
 
 30.75 
 
 25 . 58 
 
 40 
 
 41 
 
 31.86 
 
 25.80 
 
 31.75 
 
 25 . 94 
 
 31.64 
 
 26.08 
 
 31.52 
 
 26 . 22 
 
 41 
 
 42 
 
 32.64 
 
 26.43 
 
 32 . 52 
 
 26.57 
 
 32.41 
 
 26.72 
 
 32.29 
 
 26.86 
 
 42 
 
 43 
 
 33.42 
 
 27.06 
 
 33.30 
 
 27.21 
 
 33.18 
 
 27.35 
 
 33.06 
 
 27.50 
 
 43 
 
 44 
 
 34.19 
 
 27.69 
 
 34.07 
 
 27.84 
 
 33.95 
 
 27.99 
 
 33.83 
 
 28.14 
 
 44 
 
 45 
 
 34.97 
 
 28 . 32 
 
 34.85 
 
 28.47 
 
 34.72 
 
 28.62 
 
 34.60 
 
 28.77 
 
 45 
 
 46 
 
 35.75 
 
 28.95 
 
 35 . 62 
 
 29.10 
 
 35.49 
 
 29.26 
 
 35.37 
 
 29.41 
 
 46 
 
 47 
 
 36.53 
 
 29.58 
 
 36.40 
 
 29 . 74 
 
 36 . 27 
 
 29.90 
 
 36.14 
 
 30.05 
 
 47 
 
 48 
 
 37.30 
 
 30.21 
 
 37.17 
 
 30.37 
 
 37.04 
 
 30.53 
 
 36.90 
 
 30.69 
 
 48 
 
 49 
 
 38.08 
 
 30.84 37.95 
 
 31.00 
 
 37.81 
 
 31.17 
 
 37.67 
 
 31.33 
 
 49 
 
 50 
 
 38.86 
 
 31.47 38.72 
 
 31.64 
 
 38.58 
 
 31.80 
 
 38.44 
 
 31.97 
 
 50 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 
 
 o 
 
 a 
 
 
 
 
 
 
 2 
 
 51 Deg. 
 
 50| Deg. 
 
 50 i Deg. 
 
 5(H Deg. 
 
 Q 
 
TRAVERSE TABLE. 
 
 o 
 
 ? 
 
 39 Deg. 
 
 39} Deg. 
 
 39 Deg. 
 
 39| Deg. 
 
 O 
 
 a 
 o 
 
 CD 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 3 
 n 
 
 CD 
 
 "61 
 
 39.63 
 
 32.10 
 
 39.49 
 
 32.27 
 
 39.35 
 
 32.44 
 
 39.21 
 
 32.61 
 
 ~5~T 
 
 52 
 
 40.41 
 
 32.72 
 
 40.27 
 
 32.90 
 
 40.12 
 
 33.08 
 
 39.98 
 
 33.25 
 
 52 
 
 53 
 
 41.19 
 
 33.35 
 
 41.04 
 
 33.53 
 
 40.90 
 
 33.71 
 
 40 . 75 
 
 33.89 
 
 53 
 
 54 
 
 41.97 
 
 33.98 
 
 41.82 
 
 34,17 
 
 41.67 
 
 34.35 
 
 41.52 
 
 34.53 
 
 54 
 
 5o 
 
 42.74 
 
 34.61 
 
 42.59 
 
 34.80 
 
 42.44 
 
 34.98 
 
 42.29 
 
 35.17 
 
 55 
 
 56 
 
 43.52 
 
 35.24 
 
 43.37 
 
 35.43 
 
 43.21 
 
 35 . 62 
 
 43.06 
 
 35.81 
 
 56 
 
 57 
 
 44.30 
 
 35.87 
 
 44.14 
 
 36.06 
 
 43.98 
 
 36.26 
 
 43.82 
 
 36.45 
 
 57 
 
 58 
 
 45.07 
 
 36.50 
 
 44.91 
 
 36.70 
 
 44.75 
 
 36.89 
 
 44.59 
 
 37.09 
 
 58 
 
 59 
 
 45.85 
 
 37.13 
 
 45.69 
 
 ?7.33 
 
 45.53 
 
 37.53 
 
 45.36 
 
 37.73 
 
 59 
 
 60 
 
 48.63 
 
 37.76 
 
 46.46 
 
 37.96 
 
 46.30 
 
 38.16 
 
 46.13 
 
 38.37 
 
 60 
 
 61 
 
 47.41 
 
 38.39 
 
 47.24 
 
 38 . 60 
 
 47.07 
 
 38.80 
 
 46.90 
 
 39.01 
 
 61 
 
 62 
 
 48.18 
 
 39.02 
 
 48.01 
 
 39.23 
 
 47.84 
 
 39.44 
 
 47.67 
 
 39.65 
 
 62 
 
 63 
 
 48.96 
 
 39.65 
 
 48.79 
 
 39.86 
 
 48.61 
 
 40.07 
 
 48.44 
 
 40.28 
 
 63 
 
 64 
 
 49.74 
 
 40 . 28 
 
 49.56 
 
 40.49 
 
 49.38 
 
 40.71 
 
 49.21 
 
 40.92 
 
 64 
 
 65 
 
 50.51 
 
 40.91 
 
 50.34 
 
 41.13 
 
 50.16 
 
 41.35 
 
 49.97 
 
 41.56 
 
 65 
 
 66 
 
 51.29 
 
 41.54 
 
 51.11 
 
 41.76 
 
 50.93 
 
 41.98 
 
 50.74 
 
 42.20 
 
 66 
 
 67 
 
 52.07 
 
 42.16 
 
 51.88 
 
 42.39 
 
 51.70 
 
 42 . 62 
 
 51.51 
 
 42.84 
 
 67 
 
 68 
 
 52.85 
 
 42.79 
 
 52.66 
 
 43.02 
 
 52.47 
 
 43.25 
 
 52.28 
 
 43.48 
 
 68 
 
 69 
 
 53.52 
 
 43.42 
 
 53.43 
 
 43.66 
 
 53 . 24 
 
 43.89 
 
 53.05 
 
 44.12 
 
 69 
 
 70 
 
 54.40 
 
 44.05 
 
 54.21 
 
 44.29 
 
 54.01 
 
 44.53 
 
 53.82 
 
 44.76 
 
 70 
 
 71 
 
 55.18 
 
 44 . 68 1 
 
 54.98 
 
 44.92 
 
 54.79 
 
 45.16 
 
 54.59 
 
 45.40 
 
 71 
 
 72 
 
 55.95 
 
 45.31 
 
 55.76 
 
 45 . 55 
 
 55 . 56 
 
 45.80 
 
 55.36 
 
 46.04 
 
 72 
 
 73 
 
 56 . 73 
 
 45.94 
 
 56.53 
 
 46.19 
 
 56.33 
 
 46.43 
 
 56.13 
 
 46.68 
 
 73 
 
 74 
 
 57.51 
 
 46.57 
 
 57.31 
 
 46.82 
 
 57.10 
 
 47.07 
 
 56.89 
 
 47.32 
 
 74 
 
 75 
 
 58.29 
 
 47.20 
 
 58.08 
 
 47.45 
 
 57.87 
 
 47.71 
 
 57.66 
 
 47.96 
 
 75 
 
 76 
 
 59.06 
 
 47.83 
 
 58.85 
 
 48.09 
 
 58.64 
 
 48.34 
 
 58.43 
 
 48.60 
 
 76 
 
 77 
 
 59.84 
 
 48.46 
 
 59.63 
 
 48.72 
 
 59.42 
 
 48.98 
 
 59.20 
 
 49.24 
 
 77 
 
 78 
 
 60.62 
 
 49.09 
 
 60.40 
 
 49.35 
 
 60.19 
 
 49.61 
 
 59.97 
 
 49.88 
 
 78 
 
 79 
 
 61.39 
 
 49.72 
 
 61.18 
 
 49 . 98 
 
 60.96 
 
 50.25 
 
 60.74 
 
 50.52 
 
 79 
 
 80 
 
 62.17 
 
 50 . 35 
 
 61.95 
 
 50.62 
 
 61.73 
 
 50.89 
 
 61.51 
 
 51.16 
 
 80 
 
 81 
 
 62.95 
 
 50.97 
 
 62.73 
 
 51.25 
 
 62\ 50 
 
 51.52 
 
 62.28 
 
 51.79 
 
 81 
 
 82 
 
 63 . 73 
 
 51.60 
 
 63 . 50 
 
 51.88 
 
 63 . 27 
 
 52.16 
 
 63.04 
 
 52.43 
 
 82 
 
 83 
 
 64.50 
 
 52 . 23 
 
 64.27 
 
 52.51 
 
 64.04 
 
 52 . 79 
 
 63.81 
 
 53.07 
 
 83 
 
 84 
 
 65 . 28 
 
 52.86 
 
 65.05 
 
 53.15 
 
 64.82 
 
 53.43 
 
 64.58 
 
 53.71 
 
 84 
 
 85 
 
 66.06 
 
 53.49 
 
 65.82 
 
 53.78 
 
 65.59 
 
 54.07 
 
 65.35 
 
 54.35 
 
 85 
 
 86 
 
 66.83 
 
 54.12 
 
 66.60 
 
 54.41 
 
 66.36 
 
 54.70 
 
 66.12 
 
 54.99 
 
 86 
 
 87 
 
 67.61 
 
 54.75 
 
 67.37 
 
 55.05 
 
 67.13 
 
 55.34 
 
 66.89 
 
 55 . 63 
 
 87 
 
 88 
 
 68.39 
 
 55 . 38 
 
 68.15 
 
 55 . 68 
 
 67.90 
 
 55.97 
 
 67.66 
 
 56.27 
 
 88 
 
 89 
 
 69.17 
 
 56.01 
 
 68.92 
 
 56.32 
 
 68.67 
 
 56.61 
 
 68.43 
 
 56.91 
 
 89 
 
 90 
 
 69.94 
 
 56.64 
 
 69 . 70 
 
 56.94 
 
 69.45 
 
 57.25 
 
 69.20 
 
 57.55 
 
 90 
 
 91 
 
 70.72 
 
 57.27 
 
 70.47 
 
 57.58 
 
 70.22 
 
 57.88 
 
 69.96 
 
 58.19 
 
 91 
 
 92 
 
 71.50 
 
 57.90 
 
 71.24 
 
 58.21 
 
 70.99 
 
 58.52 
 
 70 . 73 
 
 58.83 
 
 92 
 
 93 
 
 72 . 27 
 
 58 . 53 
 
 72.02 
 
 58.84 
 
 71.76 
 
 59.16 
 
 71.50 
 
 59.47 
 
 93 
 
 94 
 
 73.05 
 
 59.16 
 
 72 . 79 
 
 59.47 
 
 72.53 
 
 59.79 
 
 72.27 
 
 60.11 
 
 94 
 
 95 
 
 73.83 
 
 59.79 
 
 73.57 
 
 60.11 
 
 73.30 
 
 60.43 
 
 73.04 
 
 60 . 75 
 
 95 
 
 96 
 
 74.61 
 
 60.41 
 
 74.34 
 
 60.74 
 
 74.08 
 
 61.06 
 
 73.81 
 
 61.39 
 
 96 
 
 97 
 
 75.38 
 
 61.04 
 
 75.12 
 
 61.37, 
 
 74.85 
 
 61.70 
 
 74.58 
 
 62.03 
 
 97 
 
 98 
 
 76.16 
 
 61.67 
 
 75.89 
 
 62.01 
 
 75.62 
 
 62.34 
 
 75.35 
 
 62.66 
 
 98 
 
 99 
 
 76.94 
 
 62.30 
 
 76.66 
 
 62.64 
 
 76.39 
 
 62.97 
 
 76.12 
 
 63.30 
 
 99 
 
 100 
 
 77.71 
 
 62.93 
 
 77.44 
 
 63.27 
 
 77.16 
 
 63.61 
 
 76.88 
 
 63.94 
 
 100 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 In 
 
 3 
 
 51 Deg. 
 
 50| Deg. 
 
 50i Deg. 
 
 50i Deg. 
 
 3 
 
TRAVERSE TABLE. 
 
 G 
 
 40 Deg. 
 
 40} Deg. 
 
 40i Deg. 
 
 40| Deg. 
 
 1 
 
 1 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep, 
 
 s 
 
 1 
 
 0.77 
 
 0.64 
 
 0.76 
 
 0.65 
 
 0.76 
 
 0.65 
 
 0.76 
 
 0.65 
 
 1 
 
 2 
 
 1.53 
 
 1.29 
 
 1.53 
 
 1.29 
 
 1.52 
 
 1.30 
 
 1.52 
 
 1.31 
 
 2 
 
 3 
 
 2.30 
 
 1,93 
 
 2.29 
 
 1.94 
 
 2.28 
 
 1.95 
 
 2.27 
 
 1.96 
 
 3 
 
 4 
 
 3.06 
 
 2.57 
 
 3.05 
 
 2.58 
 
 3.04 
 
 2.60 
 
 3.03 
 
 2.61 
 
 4 
 
 5 
 
 3.83 
 
 3.21 
 
 3.82 
 
 3.23 
 
 3.80 
 
 3.25 
 
 3 . 79 
 
 3.26 
 
 5 
 
 6 
 
 4.60 
 
 3.86 
 
 4.58 
 
 3.88 
 
 4.56 
 
 3.90 
 
 4.55 
 
 3.92 
 
 6 
 
 7 
 
 5.36 
 
 4.50 
 
 5.34 
 
 4.52 
 
 5.32 
 
 4.55 
 
 5.30 
 
 4.57 
 
 7 
 
 8 
 
 6.13 
 
 5.14 
 
 6.11 
 
 5.17 
 
 6.08 
 
 5.20 
 
 6.06 
 
 5.22 
 
 8 
 
 9 
 
 6.89 
 
 5.79 
 
 6.87 
 
 5.82 
 
 6.84 
 
 5.84 
 
 6.82 
 
 5.87 
 
 9 
 
 10 
 
 7.66 
 
 6.43 
 
 7.63 
 
 6.46 
 
 7.60 
 
 6.49 
 
 7.58 
 
 6.53 
 
 10 
 
 11 
 
 8.43 
 
 7.07 
 
 8.40 
 
 7.11 
 
 8.36 
 
 7.14 
 
 8.33 
 
 7.18 
 
 11 
 
 12 
 
 9.19 
 
 7.71 
 
 9.16 
 
 7.75 
 
 9.12 
 
 7.79 
 
 9.09 
 
 7.83 
 
 12 
 
 13 
 
 9.96 
 
 8.36 
 
 9.92 
 
 8.40 
 
 9.89 
 
 8.44 
 
 9.85 
 
 8.49 
 
 13 
 
 14 
 
 10.72 
 
 9.00 
 
 10.69 
 
 9.05 
 
 10.65 
 
 9.09 
 
 10.61 
 
 9.14 
 
 14 
 
 15 
 
 11.49 
 
 9.64 
 
 11.45 
 
 9.69 
 
 11.41 
 
 9.74 
 
 11.36 
 
 9.79 
 
 15 
 
 16 
 
 12.26 
 
 10.28 
 
 12.21 
 
 10.34 
 
 12.17 
 
 10.39 
 
 12.12 
 
 10.44 
 
 16 
 
 17 
 
 13.02 
 
 10.93 
 
 12.97 
 
 10.98 
 
 12.93 
 
 11.04 
 
 12.88 
 
 11.10 
 
 17 
 
 18 
 
 13.79 
 
 11.57 
 
 13.74 
 
 11.63 
 
 13.69 
 
 11.69 
 
 13,64 
 
 11.75 
 
 18 
 
 19 
 
 14.55 
 
 12.21 
 
 14.50 
 
 12.28 
 
 14.45 
 
 12.34 
 
 14.39 
 
 12.40 
 
 19 
 
 20 
 
 15.32 
 
 12.86 
 
 15.26 
 
 12.92 
 
 15.21 
 
 12.99 
 
 15.15 
 
 13.06 
 
 20 
 
 21 
 
 16.09 
 
 13.50 
 
 16.03 
 
 13.57 
 
 15.97 
 
 13.64 
 
 15.91 
 
 13.71 
 
 21 
 
 22 
 
 16.85 
 
 14.14 
 
 16.79 
 
 14.21 
 
 16.73 
 
 14.29 
 
 16.67 
 
 14.36 
 
 22 
 
 23 
 
 17.62 
 
 14.78 
 
 17.55 
 
 14.86 
 
 17.49 
 
 14.94 
 
 17.42 
 
 15.01 
 
 23 
 
 24 
 
 18.39 
 
 15.43 
 
 18.32 
 
 15.51 
 
 18.25 
 
 15.59 
 
 18.18 
 
 15.67 
 
 24 
 
 25 
 
 19.15 
 
 16.07 
 
 19.08 
 
 16.15 
 
 19.01 
 
 16.24 
 
 18.94 
 
 16.32 
 
 25 
 
 26 
 
 19.92 
 
 16.71 
 
 19.84 
 
 16.80 
 
 19.77 
 
 16.89 
 
 19.70 
 
 16.97 
 
 26 
 
 27 
 
 20.68 
 
 17.36 
 
 20.61 
 
 17.45 
 
 20.53 
 
 17.54 
 
 20.45 
 
 17.62 
 
 27 
 
 28 
 
 21.45 
 
 18.00 
 
 21.37 
 
 18.09 
 
 21.29 
 
 18.18 
 
 21.21 
 
 18.28 
 
 28 
 
 29 
 
 22.22 
 
 18.64 
 
 22.13 
 
 18.74 
 
 22.05 
 
 18.83 
 
 21.97 
 
 18.93 
 
 29 
 
 30 
 
 22.98 
 
 19.28 
 
 22.90 
 
 19.38 
 
 22.81 
 
 19.48 
 
 22.73 
 
 19.58 
 
 30 
 
 31 
 
 23 . 75 
 
 19.93 
 
 23.66 
 
 20.03 
 
 23.57 
 
 20.13 
 
 23.48 
 
 20.24 31 
 
 32 
 
 24.51 
 
 20.57 
 
 24.42 
 
 20.68 
 
 24.33 
 
 20.78 
 
 24.24 
 
 20.89 
 
 32 
 
 33 
 
 25.28 
 
 21.21 
 
 25.19 
 
 21.32 
 
 25.09 
 
 21.43 
 
 25.00 
 
 21.54 
 
 33 
 
 34 
 
 26.05 
 
 21.85 
 
 25.95 
 
 21.97 
 
 25.85 
 
 22.08 
 
 25.76 
 
 22.19 
 
 34 
 
 35 
 
 26.81 
 
 22.50 
 
 26.71 
 
 22.61 
 
 26.61 
 
 22.73 
 
 26.51 
 
 22.85 
 
 35 
 
 36 
 
 27.58 
 
 23.14 
 
 27.48 
 
 23.26 
 
 27.37 
 
 23.38 
 
 27.27 
 
 23 . 50 
 
 36 
 
 37 
 
 28.34 
 
 23.78 
 
 28.24 
 
 23.91 
 
 28.13 
 
 24.03 
 
 28.03 
 
 24.15 
 
 37 
 
 38 
 
 29 . 1 1 
 
 24.43 
 
 29.00 
 
 24.55 
 
 28.90 
 
 24.68 
 
 28.79 
 
 24.80 
 
 38 
 
 39 
 
 29.88 
 
 25.07 
 
 29.77 
 
 25.20 
 
 29.66 
 
 25 . 33 
 
 29.54 
 
 25.46 
 
 39 
 
 40 
 
 30.64 
 
 25.71 
 
 30.53 
 
 25.84 
 
 30.42 
 
 25.98 
 
 30.30 
 
 -26.11 
 
 40 
 
 41 
 
 31.41 
 
 26.35 
 
 31.29 
 
 26.49 
 
 31.18 
 
 26.03 
 
 31.06 
 
 26.76 
 
 41 
 
 42 
 
 32.17 
 
 27.00 
 
 32.06 
 
 27.14 
 
 31.94 
 
 27.28 
 
 31.82 
 
 27.42 
 
 42 
 
 43 
 
 32.94 
 
 27.64 
 
 32.82 
 
 27.78 
 
 32.70 
 
 27.93 
 
 32.58 
 
 28.07 
 
 43 
 
 44 
 
 33.71 
 
 28.28 
 
 33.58 
 
 28.43 
 
 33.46 
 
 28.58 
 
 33.33 
 
 28.72 
 
 44 
 
 45 
 
 34.47 
 
 28.93 
 
 34.35 
 
 29.08 
 
 34.22 
 
 29.23 
 
 34.09 
 
 29.37 
 
 45 
 
 46 
 
 35.24 
 
 29.57 
 
 35.11 
 
 29.72 
 
 34.98 
 
 29.87 
 
 34.85 
 
 30.03 
 
 46 
 
 47 
 
 36.00 
 
 30.21 
 
 35.87 
 
 30.37 
 
 35.74 
 
 30.52 
 
 35.61 
 
 30.68 
 
 47 
 
 48 
 
 36.77 
 
 30.85 
 
 36.64 
 
 31.01 
 
 36.50 
 
 31.17 
 
 36.36 
 
 31.33 
 
 48 
 
 49 
 
 37.54 
 
 31.50 
 
 37.40 
 
 31.66 
 
 37.26 
 
 31.82 
 
 37.12 
 
 31.99 
 
 49 
 
 50 
 
 38.30 
 
 32.14 
 
 38.16 
 
 32.31 
 
 38.02 
 
 32.47 
 
 37.88 
 
 32 . 64 
 
 50 
 
 o> 
 o 
 PS 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 1 
 
 1 
 
 Q 
 
 50 Deg. 
 
 49| Deg. 
 
 49i Deg. 
 
 494 Deg. 
 
 td 
 
 To 
 
 o 
 
TRAVERSE TABLE. 
 
 03 
 
 g 
 
 33' 
 
 40 Deg, 
 
 40 i Deg. 
 
 40^ Deg. 
 
 40 Deg. 
 
 O 
 
 n 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat, 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 51 
 
 39 . 07 
 
 32.78 
 
 38 . 92 
 
 32.95 
 
 38 . 78 
 
 33.12 
 
 3*. 64 
 
 33.29 
 
 51 
 
 52 
 
 39.83 
 
 33,42 
 
 39,69 
 
 33.60 
 
 39.54 
 
 33.77 
 
 39.39 
 
 33,94 
 
 52 
 
 53 
 
 40.60 
 
 34.07 
 
 40.45 
 
 34.^4 
 
 40.30 
 
 34.42 
 
 40.15 
 
 34.60 
 
 53 
 
 54 
 
 41.37 
 
 34.71 
 
 41.21 
 
 34.89 
 
 41.06 
 
 35.07 
 
 40.91 
 
 35.25 
 
 54 
 
 55 
 
 42.13 
 
 35.35 
 
 41.98 
 
 35 . 54 
 
 41.82 
 
 35.72 
 
 41.67 
 
 35.90 
 
 55 
 
 56 
 
 42.90 
 
 36.00 
 
 42.74 
 
 36.18 
 
 42.58 
 
 36.37 
 
 42,42 
 
 36,55 
 
 56 
 
 57 
 
 43,66 
 
 36 . 64 
 
 43.50 
 
 36.83 
 
 43.34 
 
 37.02 
 
 43.18 
 
 37,21 
 
 57 
 
 58 
 
 44.43 
 
 37.28 
 
 44.27 
 
 37.48 
 
 44.10 
 
 37.67 
 
 43.94 
 
 37.86 
 
 58 
 
 59 
 
 45.20 
 
 37.92 
 
 45.03 
 
 38.12 
 
 44.86 
 
 38.32 
 
 44.70 
 
 38.51 
 
 59 
 
 60 
 
 45.96 
 
 38.57 
 
 45 . 79 
 
 38 . 77 
 
 45.62 
 
 38.97 
 
 45.45 
 
 39.17 
 
 60 
 
 81 
 
 46.73 
 
 39.21 
 
 46.56 
 
 39.41 
 
 46.38 
 
 39.62 
 
 46.21 
 
 39.82 
 
 e: 
 
 62 
 
 47.49 
 
 39.85 
 
 47.32 
 
 40.06 
 
 47.15 
 
 40.27 
 
 46.97 
 
 40.47 
 
 62 
 
 63 
 
 48.26 
 
 40.50 
 
 48.08 
 
 40.71 
 
 47.91 
 
 40.92 
 
 47.73 
 
 41.12 
 
 63 
 
 64 
 
 49.03 
 
 41,14 
 
 48.85 
 
 41.35 
 
 48.67 
 
 41.56 
 
 48.48 
 
 41.78 
 
 64 
 
 65 
 
 49,79 
 
 41,78 
 
 49.61 
 
 42.00 
 
 49.43 
 
 42.21 
 
 49.24 
 
 42.43 
 
 65 
 
 66 
 
 50 . 56 
 
 42.42 
 
 50.37 
 
 42.64 
 
 50.19 
 
 42.86 
 
 50.00 
 
 43.08 
 
 66 
 
 67 
 
 51.32 
 
 43.07 
 
 51.14 
 
 43.29 
 
 50.95 
 
 43,51 
 
 50.76 
 
 43.73 
 
 67 
 
 68 
 
 52.09 
 
 43.71 
 
 51.90 
 
 43.94 
 
 51.71 
 
 44.16 
 
 51.51 
 
 44.39 
 
 68 
 
 69 
 
 52.86 
 
 44.35 
 
 52.66 
 
 44.58 
 
 52.47 
 
 44.81 
 
 52.27 
 
 45.04 
 
 69 
 
 70 
 
 53 . 62 
 
 45 . 00 
 
 53.43 
 
 45.23 
 
 53.23 
 
 45.46 
 
 53.03 
 
 45.69 
 
 70 
 
 71 
 
 54,39 
 
 45.64 
 
 54.19 
 
 45.87 
 
 53.99 
 
 46.11 
 
 53.79 
 
 46.35 
 
 71 
 
 73' 
 
 55.16 
 
 46.28 
 
 54.95 
 
 46.52 
 
 54.75 
 
 46.76 
 
 54.54 
 
 47.00 
 
 72 
 
 73 
 
 55.92 
 
 46,92 
 
 55.72 
 
 47.17 
 
 55.51 
 
 47.41 
 
 55.30 
 
 47.65 
 
 73 
 
 74 
 
 56 . 69 
 
 47.57 
 
 56.48 
 
 47.81 
 
 56.27 
 
 48.06 i 
 
 56.06 
 
 48.30 
 
 74 
 
 75 
 
 57.45 
 
 48.21 
 
 57.24 
 
 48.46 
 
 57.03 
 
 48.71 
 
 56.82 
 
 48.96 
 
 75 
 
 76 
 
 58.22 
 
 48.85 
 
 58.01 
 
 49.11 
 
 57.79 
 
 49.36 
 
 57.57 
 
 49.61 
 
 76 
 
 77 
 
 58.99 
 
 49.49 
 
 58,77 
 
 49.75 
 
 58.55 
 
 50.01 
 
 58.33 
 
 50.26 
 
 77 
 
 78 
 
 59.75 
 
 50.14 
 
 59.53 
 
 50.40 
 
 59.31 
 
 50,66 
 
 59.09 
 
 50.92 
 
 78 
 
 79 
 
 60.52 
 
 50.78 
 
 60.30 
 
 51.04 
 
 60.07 
 
 51.31 
 
 59.85 
 
 51.57 
 
 79 
 
 80 
 
 6 1 . 28 
 
 51.42 
 
 61.06 
 
 51.69 
 
 60.83 
 
 51.96 
 
 60.61 
 
 52.22 
 
 80 
 
 8i 
 
 62.05 
 
 52.07 
 
 61.82 
 
 52.34 
 
 61.59 
 
 52.61 
 
 61.36 
 
 52.87 
 
 81 
 
 82 
 
 62.82 
 
 52.71 
 
 62.59 
 
 52.98 
 
 62.35 
 
 53.25 
 
 62.12 
 
 53 . 53 
 
 82 
 
 83 
 
 63.58 
 
 53.35 
 
 63.35 
 
 53.63 
 
 63.11 
 
 53.90 
 
 62.88 
 
 54.18 
 
 83 
 
 84 
 
 64.35 
 
 53.99 
 
 64.11 
 
 54.27 
 
 63.87 
 
 54.55 
 
 63.64 
 
 54.83 
 
 84 
 
 85 
 
 65 . 1 i 
 
 54.64 
 
 64.87 
 
 54.92 
 
 64.63 
 
 55,20 
 
 64.39 
 
 55.48 
 
 85 
 
 86 
 
 65.88 
 
 55.28 
 
 65.64 
 
 55,57 
 
 65.39 
 
 55.85 
 
 65.15 
 
 56.14 
 
 86 
 
 87 
 
 66.65 
 
 55.92 
 
 66.40 
 
 56.21 
 
 66.16 
 
 56.50 
 
 65.91 
 
 56.79 
 
 87 
 
 88 
 
 67.41 
 
 56 . 57 
 
 67.16 
 
 56.86 
 
 66.92 
 
 57.15 
 
 66.67 
 
 57.44 
 
 88 
 
 89 
 
 68,18 
 
 57.21 
 
 67.93 
 
 57.50 
 
 67.68 
 
 57.80 
 
 67.42 
 
 58.10 
 
 89 
 
 
 68.94 
 
 57.85 
 
 68.69 
 
 58.15 
 
 68.44 
 
 58.45 
 
 68.18 
 
 58 . 75 
 
 90 
 
 ~9l 
 
 69.71 
 
 58.49 
 
 69,45 
 
 58.80i 
 
 69.20 
 
 59.10 
 
 68.94 
 
 59.40 
 
 91 
 
 92 
 
 70 . 48 
 
 59.14 
 
 70.22 
 
 59.44 
 
 69.96 
 
 59.75 
 
 69.70 
 
 60.05 
 
 92 
 
 93 
 
 71.24 
 
 59,78 
 
 70.98 
 
 60,09 
 
 70.72 
 
 60.40 
 
 70.45 
 
 60.71 
 
 93 
 
 94 
 
 72.01 
 
 60.42 
 
 71.74 
 
 60.74 
 
 71,48 
 
 61.05 
 
 71.21 
 
 61.36 
 
 94 
 
 95 
 
 72,77 
 
 61.06 
 
 72.51 
 
 61.38 
 
 72.24 
 
 61.70 
 
 71.97 
 
 62.01 
 
 95 
 
 96 
 
 73 . 54 
 
 61.71 
 
 73.27 
 
 62.03 
 
 73.00 
 
 62.35 
 
 72.73 
 
 62.66 
 
 96 
 
 97 
 
 74 . 3 1 
 
 62 . 35 
 
 74,03 
 
 62.67 
 
 73.76 
 
 63.00 
 
 73.48 
 
 63.32 
 
 97 
 
 98 
 
 75 . 07 
 
 62.99 
 
 74.80 
 
 03.32 
 
 74.52 
 
 63.65 
 
 74; 24 
 
 63.97 
 
 98 
 
 99 
 
 75.84 
 
 63.64 
 
 75.56 
 
 63.97 
 
 75.28 
 
 64.30 
 
 75.00 
 
 64.62 
 
 99 
 
 100 
 
 
 64.28 
 
 76.32 
 
 64.61 
 
 76.04 
 
 64.94 
 
 75.76 
 
 65.28 
 
 100 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 i 
 
 .2 
 Q 
 
 50 Deg. 
 
 491 Deg. 
 
 49 i Deg. 
 
 49$ Deg. 
 
 .2 
 
 Q 
 
 n 
 
84 
 
 TRAVERSE TABLE. 
 
 5' 
 
 s 
 
 41 Deg. 
 
 41} Deg. 
 
 41! De S- 
 
 41| Deg. 
 
 O 
 55' 
 
 B 
 
 C5 
 
 r 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 P 
 
 1 
 
 0.75 
 
 0.6G 
 
 0.75 
 
 ~07C6~ 
 
 0.75 
 
 0.66 
 
 0.75 
 
 0.67 
 
 1 
 
 2 
 
 1.51 
 
 1.31 
 
 1.50 
 
 1.32 
 
 1.50 
 
 1.33 
 
 1.49 
 
 1.33 
 
 2 
 
 3 
 
 2.26 
 
 1.97 
 
 2.26 
 
 1.98 
 
 2.25 
 
 1.99 
 
 2.24 
 
 2.00 
 
 3 
 
 4 
 
 3.02 
 
 2.62 
 
 3.01 
 
 2.64 
 
 3.00 
 
 2.65 
 
 2.98 
 
 2.66 
 
 4 
 
 5 
 
 3.77 
 
 3.28 
 
 3.76 
 
 3.30 
 
 3.74 
 
 3.31 
 
 3.73 
 
 3.33 
 
 5 
 
 6 
 
 4.53 
 
 3.94 
 
 4.51 
 
 3.96 
 
 4.49 
 
 3.98 
 
 4.48 
 
 4.00 
 
 6 
 
 7 
 
 5.29 
 
 4.59 
 
 5.26 
 
 4.62 
 
 5.24 
 
 4.64 
 
 5.22 
 
 4.66 
 
 7 
 
 8 
 
 6.04 
 
 5.25 
 
 6.01 
 
 5.27 
 
 5.99 
 
 5.30 
 
 5.97 
 
 5.33 
 
 8 
 
 9 
 
 6.79 
 
 5.90 
 
 6.77 
 
 5.93 
 
 6.74 
 
 5.SK3 
 
 6.71 
 
 5,99 
 
 9 
 
 10 
 
 7.55 
 
 6.56 
 
 7.52 
 
 6.59 
 
 7.49 
 
 6.63 
 
 7.46 
 
 6.66 
 
 10 
 
 11 
 
 8.30 
 
 7.22 
 
 8.27 
 
 7.25 
 
 8.24 
 
 7.29 
 
 8.21 
 
 7.32 
 
 11 
 
 12 
 
 9.06 
 
 7.87 
 
 9.02 
 
 7.91 
 
 8.99 
 
 7.95 
 
 8.95 
 
 7.99 
 
 12 
 
 13 
 
 9.81 
 
 8.53 
 
 9.77 
 
 8.57 
 
 9.74 
 
 8.61 
 
 9.70 
 
 8.66 
 
 13 
 
 14 
 
 10.57 
 
 9.18 
 
 10.53 
 
 9.23 
 
 10.49 
 
 9.28 
 
 10.44 
 
 9.32 
 
 14 
 
 15 
 
 11.32 
 
 9.84 
 
 11.28 
 
 9.89 
 
 11.23 
 
 9.94 
 
 11.19 
 
 9.99 
 
 15 
 
 16 
 
 12.08 
 
 10.50 
 
 12.03 
 
 10.55 
 
 11.98 
 
 10.60 
 
 11.94 
 
 10.65 
 
 16 
 
 17 12.83 
 
 11.15 
 
 12.78 
 
 11.21 
 
 12.73 
 
 11.26 
 
 12.68 
 
 11.32 
 
 17 
 
 18 
 
 13.58 
 
 11.81 
 
 13.53 
 
 11.87 
 
 13.48 
 
 11.93 
 
 13.43 
 
 11.99 
 
 18 
 
 19 
 
 14.34 
 
 12.47 
 
 14.28 
 
 12.53 
 
 14.23 
 
 12.59 
 
 14.18 
 
 12.65 
 
 19 
 
 20 
 
 15.09 
 
 13.12 
 
 15.04 
 
 13.19 
 
 14.98 
 
 13.25 
 
 14.92 
 
 13.32 
 
 20 
 
 21 
 
 15.85 
 
 13.78 
 
 15.79 
 
 13.85 
 
 15.73 
 
 13.91 
 
 15.67 
 
 13.98 
 
 21 
 
 22 
 
 16 . 60 
 
 14.43 
 
 16.54 
 
 14.51 
 
 16.48 
 
 14.58 
 
 16.41 
 
 14.65 
 
 22 
 
 23 
 
 17.36 
 
 15.09 
 
 17.29 
 
 15.16 
 
 17.23 
 
 15.24 
 
 17.16 
 
 15.32 
 
 23 
 
 24 
 
 18.11 
 
 15.75 
 
 18.04 
 
 15.82 
 
 17.97 
 
 15.90 
 
 17.91 
 
 15.98 
 
 24 
 
 25 
 
 18.87 
 
 16.40 
 
 18.80 
 
 16.48 
 
 18.72 
 
 16.57 
 
 18.65 
 
 16.65 
 
 25 
 
 26 
 
 19.62 
 
 17.06 
 
 19.55 
 
 17.14 
 
 19.47 
 
 17.23 
 
 19.40 
 
 17.31 
 
 26 
 
 27 
 
 20.38 1 17.71 
 
 20.30 
 
 17.80 
 
 20 . 22 
 
 17.89 
 
 20.14 
 
 17.98 
 
 27 
 
 28 
 
 21.13 18.37 
 
 21.05 
 
 18.46 
 
 20.97 
 
 18.55 
 
 20.89 
 
 18.64 
 
 28 
 
 29 
 
 21.89 ! 19.03 
 
 21.80 
 
 19.12 
 
 21.72 
 
 19.22 
 
 21.64 
 
 19.31 
 
 29 
 
 30 
 
 22.64 '! 19.68 
 
 22.56 
 
 19.78 
 
 22.47 
 
 19.88 
 
 22.38 
 
 19.98 
 
 30 
 
 31 
 
 23.40 20.34 
 
 23.31 
 
 20.44 
 
 23.22 
 
 20.54 
 
 23.13 
 
 20.64 
 
 31 
 
 32 
 
 24.15 '20.99 
 
 24.06 
 
 21.10 
 
 23.97 
 
 21.20 
 
 23.87 
 
 21.31 
 
 32 
 
 33 
 
 24.91 !21.65 
 
 24.81 
 
 21.76 
 
 24.72 
 
 21.87 
 
 24.62 
 
 21.97 
 
 33 
 
 34 
 
 25.66 22.31 
 
 25.56 
 
 22.42 
 
 25.46 
 
 22.53 
 
 25.37 
 
 22.64 
 
 34 
 
 35 
 
 26.41 22.96 
 
 26.31 
 
 23.08 
 
 26.21 
 
 23.19 
 
 26.1] 
 
 23.31 
 
 35 
 
 36 
 
 27.17 23.62 
 
 27.07 
 
 23.74 
 
 26.96 
 
 23.85 
 
 26.86 
 
 23.97 
 
 36 
 
 37 
 
 27.92 124.27 
 
 27.82 
 
 24.40 
 
 27.71 
 
 24.52 
 
 27.60 
 
 24 . 64 
 
 37 
 
 38 
 
 28.68 ! 24.93 
 
 28.57 
 
 25.06 
 
 28.46 
 
 25.18 
 
 28.35 
 
 25.30 
 
 38 
 
 39 
 
 29.43 i25.59 
 
 29.32 
 
 25.71 
 
 29.21 
 
 25.84 
 
 29.10 
 
 25.97 
 
 39 
 
 40 
 
 30.19 126.24 
 
 30.07 
 
 26.37 
 
 29.96 
 
 26.50 
 
 29.84 
 
 26.64 
 
 40 
 
 41 
 
 30.94 '26.90 1 30.83 
 
 27.03 
 
 30.71 
 
 27.17 
 
 30.59 
 
 27.30 
 
 41 
 
 42 
 
 31.70 27.55 
 
 31.58 
 
 27.69 
 
 31.46 
 
 27.83 
 
 31.33 
 
 27.97 
 
 42 
 
 43 
 
 32.45 ;28.21 
 
 32.33 
 
 28.35 
 
 32.21 
 
 28.49 
 
 32.08 
 
 28.63 
 
 43 
 
 44 
 
 33.21 ,28.87 
 
 33.08 
 
 29.01 
 
 32.95 
 
 29.16 
 
 32.83 
 
 29.30 
 
 44 
 
 ' 45 
 
 33.96 J29.52 
 
 33.83 
 
 29.67 
 
 33 . 70 
 
 29.82 
 
 33.57 
 
 29.97 
 
 45 
 
 46 
 
 34.72 30.18 
 
 34.58 
 
 30.33 
 
 34.45 
 
 30.48 
 
 34.32 
 
 30 . 63 
 
 46 
 
 47 
 
 35.47 30.83 
 
 35.34 
 
 30.99 
 
 35.20 
 
 31.14 
 
 35.06 
 
 31.30 
 
 47 
 
 48 
 
 36.23 31.49 
 
 36.09 
 
 31.65 
 
 35.95 
 
 31.81 
 
 35.81 
 
 31.96 
 
 48 
 
 49 
 
 36.98 
 
 32.15 
 
 36.84 
 
 32.31 
 
 36.70 
 
 32.47 
 
 36.56 
 
 32.63 
 
 49 
 
 50 
 
 37.74 
 
 32.80 
 
 37.59 
 
 32.97 
 
 37.45 
 
 33.13 
 
 37.30 
 
 33.29 
 
 50 
 
 8 
 
 Dep. I Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 8 
 
 
 1 
 
 
 
 
 
 
 
 1 
 
 
 
 
 
 n 
 
 .2 
 
 5 
 
 49 Deg. 
 
 48 Deg. 
 
 48i Deg. 
 
 48 Deg. 
 
 s 
 
TRAVERSE TABLE. 
 
 85 
 
 a 
 
 41 Deg. 
 
 4U Deg. 
 
 41i Deg. 
 
 41| Deg. 
 
 O 
 
 p 
 
 
 
 
 
 1 
 
 3 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 P 
 
 ,51 
 
 38.49 
 
 33.46 
 
 38.34 
 
 33.63 
 
 38.20 
 
 33.79 
 
 38.05 
 
 33 . 96 
 
 51 
 
 52 
 
 39 . 24 
 
 34.12 
 
 39.10 
 
 34.29 
 
 38 . 95 
 
 34.46 
 
 38 . 79 
 
 34.63 
 
 52 
 
 53 
 
 40.00 
 
 34.77 
 
 39.85 
 
 34.95 
 
 39 . 69 
 
 35.12 
 
 39.54 
 
 35.29 
 
 53 
 
 54 
 
 40.75 
 
 35.43 
 
 40.60 
 
 35 . 60 
 
 40.44 
 
 35.78 
 
 40.29 
 
 35 . 96 
 
 54 
 
 55 41.51 
 
 36.08 
 
 41.35 
 
 36.26 
 
 41.19 
 
 36.44 
 
 41.03 
 
 36 . 62 
 
 55 
 
 56 
 
 42.26 
 
 36.74 
 
 42.10 
 
 36.92 
 
 41.94 
 
 37.11 
 
 41.78 
 
 37.29 
 
 56 
 
 57 
 
 43.02 
 
 37.40 
 
 42.85 
 
 37.58 
 
 42.69 
 
 37.77 
 
 42.53 
 
 37.96 
 
 57 
 
 58 
 
 43 . 77 
 
 38 . 05 
 
 43.61 
 
 38.24 
 
 43.44 
 
 38.43 
 
 43.27 
 
 38 . 62 
 
 58 
 
 59 
 
 44.53 
 
 38.71 
 
 44.36 
 
 38.90 
 
 44.19 
 
 39.09 
 
 44.02 
 
 39.29 
 
 59 
 
 60 
 
 45.28 
 
 39 . 36 
 
 45.11 
 
 39 . 56 
 
 44.94 
 
 39 . 76 
 
 44.76 
 
 39 . 95 
 
 60 
 
 61 
 
 46.04 
 
 l 40 . 02 
 
 45.86 
 
 40.22 
 
 45 . 69 
 
 40.42 
 
 45.51 
 
 40 . 62 
 
 61 
 
 62 
 
 46.79 
 
 40.68 
 
 46.61 
 
 40.88 
 
 46.44 
 
 41.08 
 
 46 . 26 
 
 41.28 
 
 62 
 
 63 
 
 47.55 
 
 41.33 
 
 47.37 
 
 41.54 
 
 47.18 
 
 4 1 . 75 
 
 47.00 
 
 41.95 
 
 63 
 
 64 
 
 48.30 
 
 41.99 
 
 48.12 
 
 42 . 20 
 
 47.93 
 
 42.41 
 
 47.75 
 
 42 . 62 
 
 64 
 
 65 
 
 49.06 
 
 42.64 
 
 48.87 
 
 42.86 
 
 48.68 
 
 43.07 
 
 48.49 
 
 43 . 28 
 
 65 
 
 66 
 
 49.81 
 
 43.30 
 
 49.62 
 
 43.52 
 
 49.43 
 
 43.73 
 
 49 . 24 
 
 43 . 95 
 
 66 
 
 67 
 
 50.57 
 
 43.96 
 
 50.37 
 
 44.18 
 
 50.18 
 
 44.40 
 
 49.99 
 
 44.61 
 
 67 
 
 68 
 
 51.32 
 
 44.61 
 
 51.13 
 
 44.84 
 
 50.93 
 
 45.06 
 
 50.73 
 
 45 . 28 
 
 68 
 
 69 
 
 52.07 
 
 45.27 
 
 51.88 
 
 45.49 
 
 51.68 
 
 45 . 72 
 
 51.48 
 
 45.95 
 
 69 
 
 70 
 
 52.83 
 
 45.92 
 
 52.63 
 
 46 . 1 5 
 
 52.43 
 
 46.38 
 
 52.22 
 
 46.61 
 
 70 
 
 71 
 
 53.58 
 
 46.58 
 
 53.38 
 
 46.81 
 
 53.18 
 
 47 . 05 
 
 52.97 
 
 47.28 | 71 
 
 72 
 
 54.34 
 
 47.24 
 
 54. i 3 
 
 47.47 
 
 53 . 92 
 
 47.71 
 
 53.72 
 
 47.94 
 
 72 
 
 73 
 
 55.09 
 
 47.89 
 
 54.88 
 
 48.13 
 
 54.67 
 
 48.37 
 
 54.46 
 
 48.61 
 
 73 
 
 74 
 
 55.85 
 
 48.55 
 
 55.64 
 
 48.79 
 
 5f5.42 
 
 49.03 
 
 55.21 
 
 49.28 
 
 74 
 
 75 
 
 56.60 
 
 49.20 
 
 56.39 
 
 49.45 
 
 56.17 
 
 49.70 
 
 55 . 95 
 
 49.94 
 
 75 
 
 76 
 
 57.36 
 
 49.86 
 
 57.14 
 
 50.11 
 
 56.92 
 
 50.36 
 
 56.70 
 
 50.61 
 
 76 
 
 77 
 
 58 . 1 1 
 
 50.52 
 
 57.89 
 
 50 . 77 
 
 57.67 51.02 
 
 57.45 
 
 51.27 
 
 77 
 
 78 
 
 58.87 
 
 51.17 
 
 58 . 64 
 
 51.43 
 
 58.42 
 
 51.68 
 
 58.19 
 
 51.94 
 
 78 
 
 79 
 
 59.62 
 
 51.83 
 
 59.40 
 
 52.09 
 
 59.17 
 
 52.35 
 
 58.94 
 
 52.60 
 
 79 
 
 80 
 
 60.38 
 
 52.48 
 
 60.15 
 
 52 . 75 
 
 59.92 
 
 53.01 
 
 59.68 
 
 53 . 27 
 
 80 
 
 81 
 
 61.13 
 
 53.14 
 
 60.90 
 
 53.41 1 
 
 60 . 67 
 
 53.67 
 
 60.43 
 
 53.94 
 
 81 
 
 82 
 
 61.89 
 
 53 . 80 
 
 61.65 
 
 54.07 
 
 61.41 
 
 54.33 
 
 61.18 
 
 54.60 
 
 82 
 
 83 
 
 62.64 
 
 54.45 
 
 62.40 
 
 54.73 
 
 62.16 
 
 55.00 
 
 61.92 
 
 55.27 
 
 83 
 
 84 
 
 63.40 
 
 55 . 1 1 
 
 63.15 
 
 55 . 38 
 
 62.91 
 
 55.66 
 
 62.67 
 
 55.93 
 
 84 
 
 85 
 
 64. 15 I 55. 76 
 
 63.91 
 
 56.04 
 
 63.66 
 
 56.32 
 
 63.41 
 
 56 . 60 
 
 85 
 
 86 
 
 64.90 ! 56.42 
 
 64.66 
 
 56 . 70 
 
 64.41 
 
 56.99 
 
 64.16 
 
 57 . 27 
 
 86 
 
 87, 
 
 65.66 57.08 
 
 65.41 
 
 57.36 
 
 65.16 
 
 57.65 
 
 64.91 
 
 57.93 
 
 87 
 
 88 
 
 66.41 
 
 57 . 73 
 
 66.16 
 
 58.02 
 
 65.91 
 
 58.31 
 
 65.65 
 
 58.60 
 
 88 
 
 89 
 
 67.17 
 
 58.39 
 
 66.91 
 
 58.68 
 
 66.66 
 
 58.97 
 
 66.40 
 
 59 . 26 
 
 89 
 
 90 
 
 67.92 
 
 59.05 
 
 67.67 
 
 59.34 
 
 67.41 
 
 59.64 
 
 67.15 
 
 59 . 93 
 
 90 
 
 91 
 
 68.68 
 
 59 . 70 
 
 68.42 
 
 60.001 
 
 68.15 
 
 60.30 
 
 67.89 
 
 60.60 
 
 91 
 
 92 
 
 69.43 
 
 60.36 
 
 69.17 
 
 6-0.66 
 
 68.90 
 
 60.96 
 
 68.64 
 
 61.26 
 
 92 
 
 93 
 
 70.19 
 
 61.01 
 
 69.92 
 
 61.32 
 
 69.65 
 
 61.62 
 
 69.38 
 
 61.93 
 
 93 
 
 94 
 
 70.94 
 
 61.67 
 
 70.67 
 
 61.98 
 
 70.40 
 
 62.29 
 
 70.13 
 
 62 . 59 
 
 94 
 
 95 
 
 71.70 
 
 62.33 
 
 71.43 
 
 62.64 
 
 71.15 
 
 62.95 
 
 70.88 
 
 63 . 26 
 
 95 
 
 96 
 
 72.45 
 
 62.98 
 
 72.18 
 
 63.30 
 
 71.90 
 
 63.61 
 
 71.62 
 
 63.92 
 
 96 
 
 97 
 
 73.21 
 
 63.64 
 
 72.93 
 
 63.96 
 
 72.65 
 
 64.27 
 
 72.37 
 
 64.59 
 
 97 
 
 98 
 
 73.96 
 
 64.29 
 
 73.68 
 
 64.62 
 
 73.40 
 
 64.94 
 
 73 . 1 1 
 
 65.26 
 
 98 
 
 99 
 
 74.72 
 
 64.95 
 
 74.43 
 
 65 . 28 
 
 74.15 
 
 65.60 
 
 73.86 
 
 6j . 92 
 
 99 
 
 100 
 
 75.47 
 
 65.61 
 
 75.18 
 
 65.93 
 
 74.90 
 
 66.26 
 
 74.61 
 
 66.59 
 
 100 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 g 
 
 d 
 
 03 
 
 3 
 
 49 Deg. 
 
 48| Deg. 
 
 48 Deg. 
 
 48i Deg. 
 
 01 
 
 P 
 
TBAVERSE TABLE. 
 
 K' 
 
 42 Deg. 
 
 42* Deg. 
 
 42 Deg. 
 
 42! Deg. 
 
 O 
 55* 
 
 p 
 
 
 
 
 
 pT 
 
 1 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 P 
 
 1 
 
 0.74 
 
 0.67 
 
 0.74 
 
 0.67 
 
 0.74 
 
 0.68 
 
 0.73 
 
 0.68 
 
 1 
 
 2 
 
 1.49 
 
 1.34 
 
 1.48 
 
 1.34 
 
 1.47 
 
 1.35 
 
 1.47 
 
 1.36 
 
 2 
 
 3 
 
 2.23 
 
 2.01 
 
 2.22 
 
 2.02 
 
 2.21 
 
 2.03 
 
 2.20 
 
 2.04 
 
 3 
 
 4 
 
 2.97 
 
 2.68 
 
 2.96 
 
 2.69 
 
 2.95 
 
 2.70 
 
 2.94 
 
 2.72 
 
 4 
 
 5 
 
 3.72 
 
 3.35 
 
 3.70 
 
 3.36 
 
 3.69 
 
 3.38 
 
 3.67 
 
 3.39 
 
 5 
 
 6 
 
 4.46 
 
 4.01 
 
 4.44 
 
 4.03 
 
 4.42 
 
 4.05 
 
 4.41 
 
 4.07 
 
 6 
 
 7 
 
 5.20 
 
 4.68 
 
 5.18 
 
 4.71 
 
 5.16 
 
 4.73 
 
 5.14 
 
 4.75 
 
 7 
 
 8 
 
 5.95 
 
 5.35 
 
 5.92 
 
 5.38 
 
 5.90 
 
 5.40 
 
 5.87 
 
 5.43 
 
 8 
 
 9 
 
 6.69 
 
 6.02 
 
 6.66 
 
 6.05 
 
 6.64 
 
 6.08 
 
 6.61 
 
 6.11 
 
 9 
 
 10 
 
 7.43 
 
 6.69 
 
 7.40 
 
 6.72 
 
 7.37 
 
 6.76 
 
 7.34 
 
 6.79 
 
 10 
 
 11 
 
 8.17 
 
 7.36 
 
 8.14 
 
 7.40 
 
 8.11 
 
 7.43 
 
 8.08 
 
 7.47 
 
 11 
 
 12 
 
 8.92 
 
 8 .03 
 
 8.88 
 
 8.07 
 
 8.85 
 
 8.11 
 
 8.81 
 
 8.15 
 
 12 
 
 13 
 
 9.66 
 
 8.70 
 
 9.62 
 
 8.74 
 
 9.58 
 
 8.78 
 
 9.J55 
 
 8.82 
 
 13 
 
 14 
 
 10.40 
 
 9.37 
 
 10.36 
 
 9.41 
 
 10.32 
 
 9.46 
 
 10.28 
 
 9.50 
 
 14 
 
 15 
 
 11.15 
 
 10.04 
 
 11.10 
 
 10.09 
 
 11.06 
 
 10.13 
 
 11.01 
 
 10.18 
 
 15 
 
 16 
 
 11.89 
 
 10.71 
 
 11.84 
 
 10.76 
 
 11.80 
 
 10.81 
 
 11.75 
 
 10.86 
 
 16 
 
 17 
 
 12.63 
 
 11.38 
 
 12.58 
 
 11.43 
 
 12.53 
 
 11.48 
 
 12.48 
 
 11.54 
 
 17 
 
 18 
 
 13.38 
 
 12.04 
 
 13.32 
 
 12.10 
 
 13.27 
 
 12.16 
 
 13.22 
 
 12.22 
 
 18 
 
 19 
 
 14.12 
 
 12.71 
 
 14.06 
 
 12.77 
 
 14.01 
 
 12.84 13.95 
 
 12.90 
 
 19 
 
 20 
 
 14.86 
 
 13.38 
 
 14.80 
 
 13.45 
 
 14.75 
 
 13.51 14.69 
 
 13.58 
 
 20 
 
 21 
 
 15.61 
 
 14.05 
 
 15.54 
 
 14.12 
 
 15". 48 
 
 14.19 
 
 15.42 
 
 14.25 
 
 21 
 
 22 
 
 16.35 
 
 14.72 
 
 16.28 
 
 14.79 
 
 16.22 
 
 14.86 
 
 16.16 
 
 14.93 
 
 22 
 
 23 
 
 17.09 
 
 15.39 
 
 17.02 
 
 15.46 
 
 16.96 
 
 15.54 
 
 16.89 
 
 15.61 
 
 23 
 
 24 
 
 17.84 
 
 16.06 
 
 17.77 
 
 16.14 
 
 17.69 
 
 16.21 
 
 17.62 
 
 16.29 
 
 24 
 
 25 
 
 18.58 
 
 16.73 
 
 18.51 
 
 16.81 
 
 18.43 
 
 16.89 
 
 18.36 
 
 16.97 
 
 25 
 
 26 
 
 19.32 
 
 17.40 
 
 19.25 
 
 17.48 
 
 19.17 
 
 17.57 
 
 19.09 
 
 17.65 
 
 26 
 
 27 
 
 20.06 
 
 18.07 
 
 19.99 
 
 18.15 
 
 19.91 
 
 18.24 
 
 19.83 
 
 18.33 
 
 27 
 
 2S 
 
 20.81 
 
 18.74 
 
 20.73 
 
 18.83 
 
 20.64 
 
 18.92 
 
 20.56 
 
 19.01 
 
 28 
 
 29 
 
 21.55 
 
 19.40 
 
 21.47 
 
 19.50 
 
 21.38 
 
 19.59 
 
 21.30 
 
 19.69 
 
 29 
 
 30 
 
 22.29 
 
 20.07 
 
 22.21 
 
 20.17 
 
 22.12 
 
 20.27 
 
 22.03 
 
 20.36 
 
 30 
 
 31 
 
 23 . 04 
 
 20.74 
 
 22.95 
 
 20.84 
 
 22. 86 
 
 20.94 
 
 22.76 
 
 21.04 
 
 31 
 
 32 
 
 23.78 
 
 21.41 
 
 23.69 
 
 21.52 
 
 23.59 
 
 21.62 
 
 23.50 
 
 21.72 
 
 32 
 
 33 
 
 24.52 
 
 22.08 
 
 24.43 
 
 22.19 
 
 24.33 
 
 22.29 
 
 24.23 
 
 22.40 
 
 33 
 
 34 
 
 25.27 
 
 22.75 
 
 25.17 
 
 22.86 
 
 25.07 
 
 22.97 
 
 24.97 
 
 23.08 
 
 34 
 
 35 
 
 26.01 
 
 23.42 
 
 25.91 
 
 23.53 
 
 25.80 
 
 23.65 
 
 25.70 
 
 23 . 76 
 
 35 
 
 36 
 
 26.75 
 
 24.09 
 
 26.65 
 
 24.21 
 
 26.54 
 
 24.32 
 
 26.44 
 
 24.44 
 
 36 
 
 37 
 
 27 50 
 
 24.76 
 
 27.39 
 
 24.88 
 
 27.28 
 
 25.00 
 
 27.17 
 
 25.12 
 
 37 
 
 38 
 
 28.24 
 
 25.43 
 
 28.13 
 
 25.55 
 
 28.02 
 
 25.67 
 
 27.90 
 
 25.79 
 
 38 
 
 39 
 
 28.98 
 
 26.10 
 
 28.87 
 
 26.22 
 
 28.75 
 
 26.35 
 
 28.64 
 
 26.47 
 
 39 
 
 40 
 
 29.731 26.77 
 
 29.61 
 
 26. 8'J 
 
 29.49 
 
 27.02 
 
 29 .37 
 
 27.15 
 
 40 
 
 41 
 
 30.47 
 
 27.43 
 
 30.35 
 
 27.57 
 
 30 . 23 
 
 27.70 
 
 30.11 
 
 27.83 
 
 41 
 
 42 
 
 31.21 
 
 28.10 
 
 31.09 
 
 28.24 
 
 30.97 
 
 28.37 
 
 30.84 
 
 28.51 
 
 42 
 
 43 
 
 31.96 
 
 28.77 
 
 31.83 
 
 28.91 
 
 31.70 
 
 29.05 
 
 31.58 
 
 29.19 
 
 43 
 
 44 
 
 32.70 
 
 29.44 
 
 32.57 
 
 29.58 
 
 32.44 
 
 29.73 
 
 32.31 
 
 29.87 
 
 44 
 
 45 
 
 33.44 
 
 30.11 
 
 33.31 
 
 30.26 
 
 33.18 
 
 30.40 
 
 33.04 
 
 30.55 
 
 45 
 
 46 
 
 34.18 
 
 30.78 
 
 34.05 
 
 30.93 
 
 33.91 
 
 31.08 
 
 33.78 
 
 31.22 
 
 46 
 
 47 
 
 34.93 
 
 31 .45 
 
 34.79 
 
 31.60 
 
 34.65 
 
 31.75 
 
 34.51 
 
 31.90 
 
 47 
 
 48 
 
 35.67 
 
 32.12 
 
 35.53 
 
 32.27 
 
 35.39 
 
 32.43 
 
 35.25 
 
 32.58 
 
 48 
 
 49 
 
 36.41 
 
 32.79 
 
 36.27 
 
 32.95 
 
 36.13 
 
 33.10 
 
 35.98 
 
 33.26 
 
 49 
 
 50 
 
 37.16 
 
 33.46 
 
 37.01 
 
 33.62 
 
 36.86 
 
 33.78 
 
 36 . 72 
 
 33.94 
 
 50 
 
 
 e 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 c 
 a 
 
 
 
 
 
 
 
 1 
 
 Sfl 
 
 
 
 48 Deg. 
 
 47| Deg. 
 
 47i Deg. 
 
 474 Deg. 
 
 S 
 
TRAVERSE TABLE 
 
 87 
 
 
 
 42 Deg. 
 
 42i Deg. 
 
 42i Deg. 
 
 42| Deg. 
 
 O 
 
 5T 
 & 
 
 
 
 
 
 1 
 
 3 
 o 
 ft 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 1 
 
 51 
 
 37.90 34.13 
 
 37.75 
 
 34.29 
 
 37.60 
 
 34.46 
 
 37.45 
 
 34.62 
 
 51 
 
 52 
 
 38.64 
 
 34.79 
 
 38.49 
 
 34.96 
 
 38.34 
 
 35.13 
 
 38.18 
 
 35.30 
 
 52 
 
 53 
 
 39.39 
 
 35.46 
 
 39.23 
 
 35.64 
 
 39.08 
 
 35.81 
 
 38.92 
 
 35.98 
 
 53 
 
 54 
 
 40.13 
 
 36.13 
 
 39.97 
 
 36.31 
 
 39.81 
 
 36.48 
 
 39.65 
 
 36.66 
 
 54 
 
 55 
 
 40.87 
 
 36.80 
 
 40.71 
 
 36.98 
 
 40.55 
 
 37.16 
 
 40.39 
 
 37.33 
 
 55 
 
 56 
 
 41.62 
 
 37.47 
 
 41.45 
 
 37.65 
 
 41.29 
 
 37.83 
 
 41.12 
 
 38.01 
 
 56 
 
 57 
 
 42.36 
 
 38.14 
 
 42.19 
 
 38 . 32 
 
 42.02 
 
 38.51 
 
 41.86 
 
 38.69 
 
 57 
 
 58 
 
 43.10 
 
 38.81 
 
 42.93 
 
 39.00 
 
 42.76 
 
 39.18 
 
 42.59 
 
 39.37 
 
 58 
 
 59 
 
 43.85 
 
 39.48 
 
 43.67 
 
 39.67 
 
 43.50 
 
 39.86 
 
 43.32 
 
 40.05 
 
 59 
 
 60 
 
 44.59 
 
 40.15 
 
 44.41 
 
 40.34 
 
 44.24 
 
 40.54 
 
 44.06 
 
 40.73 
 
 60 
 
 61 
 
 45 . 33 
 
 40.82 
 
 45.15 
 
 41.01 
 
 44 . 97 
 
 41.21 
 
 44.79 
 
 41.41 
 
 61 
 
 62 
 
 46.07 
 
 41.49 
 
 45.89 
 
 41.69 
 
 45.71 
 
 41.89 
 
 45.53 
 
 42.09 
 
 62 
 
 63 
 
 46.82 
 
 42.16 
 
 46.63 
 
 42 . 36 
 
 46.45 
 
 42.56 
 
 46.26 
 
 42.76 
 
 63 
 
 64 
 
 47.56 
 
 42.82 
 
 47.37 
 
 43.03 
 
 47.19 
 
 43.24 
 
 47.00 
 
 43.44 
 
 64 
 
 65 
 
 48.30 
 
 43.49 
 
 48 . 1 1 
 
 43 . 70 
 
 47.92 
 
 43.91 
 
 47.73 
 
 44.12 
 
 65 
 
 66 
 
 49.05 
 
 44.16 
 
 48 . 85 
 
 44.38 
 
 48.66 
 
 44.59 
 
 48.47 
 
 44.80 
 
 66 
 
 67 
 
 49 . 79 
 
 44:83 
 
 49 . 59 
 
 45.05 
 
 49.40 
 
 45.26 
 
 49.20 
 
 45.48 
 
 67 
 
 68 
 
 50.53 
 
 45 . 50 
 
 50 . 33 
 
 45 . 72 
 
 50.13 
 
 45.94 
 
 49.93 
 
 46.16 
 
 68 
 
 69 
 
 51.28 
 
 46.17 
 
 51.07 
 
 46 . 39 
 
 50.87 
 
 46.62 
 
 50.67 
 
 46.84 
 
 69 
 
 70 
 
 52.02 
 
 46 . 84 
 
 51.82 
 
 47.07 
 
 51.61 
 
 47.29 
 
 51.40 
 
 47.52 
 
 70 
 
 71 
 
 52 . 76. 
 
 47*5 1 
 
 52 . 56 
 
 47.74 
 
 52.35 
 
 47.97 
 
 52.14 
 
 48.19 
 
 71 
 
 72 
 
 53.51 
 
 48.18 
 
 53.30 
 
 18.41 
 
 53 . 08 
 
 48.64 
 
 52.87 
 
 48.87 
 
 72 
 
 73 
 
 54.25 
 
 48.85 
 
 54.04 
 
 49.08 
 
 53.82 
 
 49.22 
 
 53.61 
 
 49.55 
 
 73 
 
 71 
 
 54.99 
 
 49.52 
 
 54.78 
 
 19 . 76 
 
 54.56 
 
 49.99 
 
 54.34 
 
 50.23 
 
 74 
 
 75 
 
 55 . 74 
 
 50.18 
 
 55.52 
 
 50.43 
 
 55.30 
 
 50.67 
 
 ;55.07 
 
 50.91 
 
 75 
 
 76 
 
 56.48 
 
 50.85 
 
 56.26 
 
 51.10 
 
 56.03 
 
 51.34 
 
 55.81 
 
 51.59 
 
 76 
 
 77 
 
 57 . 22 
 
 51.52 
 
 57.00 
 
 5 L . 77 
 
 56 . 77 
 
 52.02 
 
 56.54 
 
 52.27 
 
 77 
 
 78 
 
 57.97 52.19 
 
 57.74 
 
 52.44 
 
 57.51 
 
 52.70 
 
 57.28 
 
 52.95 
 
 78 
 
 79 
 
 58.71 1 52.86 
 
 58.48 
 
 53.12 
 
 58 . 24 
 
 53.37 
 
 58.01 
 
 53.63 
 
 79 
 
 80 
 
 59.45] 53.53 
 
 59.22 
 
 53 . 79 
 
 58.98 
 
 54.05 
 
 58.75 
 
 54.30 
 
 80 
 
 81 
 
 60.19 ! 54.20 
 
 59 . 96 
 
 54.46 
 
 59 . 72 
 
 54.72 
 
 59.48 
 
 54.98 
 
 81 
 
 82 
 
 60.94 54.87 
 
 60.70 
 
 55.13 
 
 60.46 
 
 55.40 
 
 60.21 
 
 55.66 
 
 82 
 
 83 
 
 61.68 55.54 
 
 61.44 
 
 55.81 
 
 61.19 
 
 56.07 
 
 60.95 
 
 56.34 
 
 83 
 
 84 
 
 62 . 42 
 
 56 . 2 1 
 
 62.18 
 
 56 . 48 
 
 61.93 
 
 56 . 75 
 
 61.68 
 
 57.02 
 
 84 
 
 85 
 
 63 . 1 7 
 
 56. 8 3 
 
 62 . 92 
 
 57. 15 
 
 02.67 
 
 57.43 
 
 62.42 
 
 57.70 
 
 85 
 
 86 
 
 63.91 57.55 
 
 63.66 
 
 57.82 
 
 63.41 
 
 58.10 
 
 63.15 
 
 58.38 
 
 86 
 
 87 
 
 64.651 58.21 
 
 64.40 
 
 53 . 50 
 
 (54.14 
 
 58 . 78 
 
 63.89 
 
 59.06 
 
 87 
 
 88 
 
 65.40 
 
 58.88 
 
 65 . 1 4 
 
 59.17 
 
 64.88 
 
 59.45 
 
 64.62 
 
 59.73 
 
 88 
 
 89 
 
 66.14 
 
 59.55 
 
 65.88 
 
 59.84 
 
 65.62 60.13 
 
 65.35 
 
 60.41 
 
 89 
 
 90 
 
 66.88 
 
 60.22 
 
 66.62 
 
 60 . ft I 
 
 66.35 
 
 60.80 
 
 66.09 
 
 61.09 
 
 90 
 
 91 
 
 67.63 
 
 60.89 
 
 67.36 
 
 61.19 
 
 67.09 
 
 61.48 
 
 66.82 
 
 61.77 
 
 91 
 
 92 
 
 68.37 
 
 61.56 
 
 63.10 
 
 61.86 
 
 67.83 
 
 62.15 
 
 67.56 
 
 62.45 
 
 92 
 
 93 
 
 69.11 
 
 62 . 23 
 
 68.84 
 
 62 . 53 
 
 68.57 
 
 62.83 
 
 68.29 
 
 63.13 
 
 93 
 
 94 
 
 69.86 
 
 62.90 
 
 69 . 53 
 
 63.20 
 
 69.30 
 
 63.51 
 
 69.03 
 
 63.81 
 
 94 
 
 95 
 
 70.60 
 
 63.57 
 
 70.32 
 
 63 . 87 
 
 70.04 
 
 64.18 
 
 69.76 
 
 64.49 
 
 95 
 
 96 
 
 71.34 
 
 64.24 
 
 71.06 
 
 64.55 
 
 70.78 
 
 64.86 
 
 70.49 
 
 65.16 
 
 96 
 
 97 
 
 72.08 
 
 64. 9i 
 
 71.80 
 
 65.22 
 
 71.52 
 
 65.53 
 
 71.23 
 
 65.84 
 
 97 
 
 93 
 
 72.83 
 
 65.57 
 
 72.54 
 
 65.89 
 
 72.25 
 
 66.21 
 
 71.96 
 
 6(5.52 
 
 OS 
 
 99 
 
 73.57 
 
 66.24 
 
 73.28 
 
 66.56 
 
 72.99 
 
 66.88 
 
 72.70 
 
 67.20 
 
 99 
 
 100 
 
 74.31 
 
 66.91 
 
 74.02 
 
 67.24 
 
 73.73 
 
 67.56 
 
 73.43 
 
 67.88 
 
 100 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 <D 
 O 
 
 1 
 
 3 
 
 48 Deg. 
 
 47| Deg. 
 
 47 Deg. 
 
 47* Deg. 
 
 1 
 
 13* 
 
TRAVERSE TABLE. 
 
 s 
 
 43 Deg. 
 
 434 Deg. 
 
 43i Deg. 
 
 43| Deg. 
 
 C 
 
 p 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 I 
 
 1 
 
 0.73 
 
 0.68 
 
 0.73 
 
 0.69 1 
 
 0.73 
 
 0.69 ! 
 
 0.72 
 
 0.69 
 
 1 
 
 2 
 
 1.46 
 
 1.36 
 
 1.46 
 
 1.37 
 
 1.45 
 
 1.38 
 
 1.44 
 
 1.38 
 
 2 
 
 3 
 
 2.19 
 
 2.05 
 
 2.19 
 
 2.06 
 
 2.18 
 
 2.07 
 
 2.17 
 
 2.07 
 
 3 
 
 4 
 
 2.93 
 
 2.73 
 
 2.91 
 
 2.74 
 
 2.90 
 
 2.75 
 
 2.89 
 
 2.77 
 
 4 
 
 5 
 
 3.66 
 
 3.41 
 
 3.64 
 
 3.43 
 
 3.63 
 
 3.44 
 
 3.61 
 
 3.46 
 
 5 
 
 6 
 
 4.39 
 
 4.09 
 
 4.37 
 
 4.11 
 
 4.35 
 
 4.13 
 
 4.33 
 
 4.15 
 
 6 
 
 7 
 
 5.12 
 
 4.77 
 
 5.10 
 
 4.80 
 
 5.08 
 
 4.82 
 
 5.06 
 
 4.84 
 
 7 
 
 8 
 
 5.85 
 
 5.46 
 
 5.83 
 
 5.48 
 
 5.80 
 
 5.51 
 
 5.78 
 
 5.53 
 
 8 
 
 9 
 
 6.58 
 
 6.14 
 
 6.56 
 
 6.17 
 
 6.53 
 
 6.20 
 
 6.50 
 
 6.22 
 
 9 
 
 10 
 
 7.31 
 
 6.82 
 
 7.28 
 
 6.85 
 
 7.25 
 
 6.88 
 
 7.22 
 
 6 92 
 
 10 
 
 11 
 
 8.04 
 
 7.50 
 
 8.01 
 
 7.54 
 
 7.98 
 
 7.57 
 
 7.95 
 
 7.61 
 
 11 
 
 12 
 
 8.78 
 
 8.18 
 
 8.74 
 
 8.22 
 
 8.70 
 
 8.26 
 
 8.67 
 
 8.30 
 
 12 
 
 13 
 
 9.51 
 
 8.87 
 
 9.47 
 
 8.91 
 
 9.43 
 
 8.95 
 
 9.39 
 
 8.99 
 
 13 
 
 14 
 
 10.24 
 
 9.55 
 
 10.20 
 
 9.59 
 
 10.16 
 
 9.64 
 
 10.11 
 
 9.68 
 
 14 
 
 15 
 
 10.97 
 
 10.23 
 
 10.93 
 
 10.28 
 
 10.88 
 
 10.33 
 
 10.84 
 
 10.37 
 
 15 
 
 16 
 
 1 1 . 70 
 
 10.91 
 
 11.65 
 
 10.96 
 
 1 1 .61 
 
 11.01 
 
 11.56 
 
 11.06 
 
 16 
 
 17 
 
 12.43 
 
 11.59 
 
 12.38 
 
 11.65 
 
 12.33 
 
 11.70 
 
 12.28 
 
 11.76 
 
 17 
 
 18 
 
 13.16 
 
 12.38 
 
 13.11 
 
 12.33 
 
 13.06 
 
 1:2.39 
 
 13.00 
 
 12.45 
 
 18 
 
 19 
 
 13.90 
 
 12.96 
 
 13.84 
 
 13.02 
 
 13.78 
 
 13.08 
 
 13.72 
 
 13.14 
 
 19 
 
 20 
 
 14.63 
 
 13.64 
 
 14.57 
 
 13.70 
 
 14.51 
 
 13.77 
 
 14.45 
 
 13.83 
 
 20 
 
 "21 
 
 15.36 
 
 14.32 
 
 15.30 
 
 14.39 
 
 15.23 
 
 14.46 
 
 15^17 
 
 14.52 
 
 21 
 
 22 
 
 16.09 
 
 15.00 
 
 ID. 02 
 
 15.07 
 
 15.96 
 
 15.14 
 
 15.89 
 
 15.21 
 
 22 
 
 23 
 
 16.82 
 
 15.69 
 
 16.75 
 
 15.76 
 
 16.68 
 
 15.83 
 
 16.61 
 
 15.90 
 
 23 
 
 24 
 
 17.55 
 
 16.37 
 
 17.48 
 
 16.44 
 
 17.41 
 
 16.52 
 
 17.34 
 
 1G.60 24 
 
 25 
 
 18.28 
 
 17.05 
 
 18.21 
 
 17.13 
 
 18.13 
 
 17.21 
 
 18.06 
 
 17.29 
 
 25 
 
 26 
 
 19.02 
 
 17.73 
 
 18.94 
 
 17.81 
 
 18.86 
 
 17.90 
 
 18.78 
 
 1-7.98 
 
 26 
 
 27 
 
 19.75 
 
 18.41 
 
 19.67 
 
 18 50 
 
 19.59 
 
 18.59 
 
 19.50 
 
 18.67 
 
 27 
 
 28 
 
 20.48 
 
 19.10 
 
 20.3* 
 
 19.19 
 
 20.31 
 
 19.27 
 
 20.23 
 
 19.36. 
 
 2P 
 
 29 
 
 21.21 
 
 19.78 
 
 21.12 
 
 19.87 
 
 21.04 
 
 19.96 
 
 20.95 
 
 20.05 
 
 29 
 
 30 
 
 21.94 
 
 20.46 
 
 21.85 
 
 20.56 
 
 21.76 
 
 20.65 
 
 21.67 
 
 20.75 
 
 30 
 
 31 
 
 22.67 
 
 21.14 
 
 22.58 
 
 21.24 
 
 22.49 
 
 21.34 
 
 22.39 
 
 21.44 
 
 31 
 
 32 
 
 23.40 
 
 21.82 
 
 23.31 
 
 21.93 
 
 23.21 
 
 22.03 
 
 23.12 
 
 22.13 
 
 32 
 
 33 
 
 24.13 
 
 22.51 
 
 24.04 
 
 22.61 
 
 23.94 
 
 22.72 
 
 23.84 
 
 22.82 
 
 33 
 
 34 
 
 24.87 23.19 
 
 24.76 
 
 23.30 
 
 24. 6 23.40 
 
 24.56 
 
 23.51 
 
 34 
 
 35 
 
 25.60] 23.87 
 
 25.49 
 
 23.98 
 
 25.39 
 
 24.09 
 
 25.28 
 
 24.20 
 
 gfx 
 
 36 
 
 26.33 
 
 24.55 
 
 26.22 
 
 24.67 
 
 26.11 
 
 24.78 
 
 26.01 
 
 24 . 89 
 
 36 
 
 37 
 
 27.06 
 
 25.23 
 
 26.95 
 
 25.35 
 
 26.84 
 
 25.47 
 
 26.73 
 
 25.59 
 
 37 
 
 38 
 
 27.79 
 
 25.92 
 
 27.68 
 
 26.04 
 
 27.56 
 
 26.16 
 
 27.45 
 
 26.28 
 
 38 
 
 39 
 
 28.52 
 
 26.60 
 
 28.41 
 
 26.72 
 
 28.29 
 
 26.85 
 
 28.17 
 
 26.97 
 
 39 
 
 40 
 
 29.25 
 
 27.28 
 
 29.13 
 
 27.41 
 
 29.01 
 
 27.53 
 
 28.89 
 
 27.66 
 
 40 
 
 41 
 
 29.99 
 
 27.96 
 
 29.86 
 
 28.09 
 
 29.74 
 
 28.22 
 
 29. 62 
 
 28.35 
 
 41 
 
 42 
 
 30.72 
 
 28.64 
 
 30.59 
 
 28.78 
 
 ,30.47 
 
 28.91 
 
 30.34 
 
 29.04 
 
 42 
 
 43 
 
 31.45 
 
 29.33 
 
 31.32 
 
 29.46 
 
 31.19 
 
 29.60 
 
 31.06 
 
 29.74 
 
 43 
 
 44 
 
 32.18 
 
 30.01 
 
 32.05 
 
 30.15 
 
 31.92 
 
 30.29 
 
 31.78 
 
 30.43 
 
 44 
 
 45 
 
 32.91 
 
 30.69 
 
 32.78 
 
 30 . 83 
 
 32.64 
 
 30.98 
 
 32.51 
 
 31.12 
 
 45 
 
 46 
 
 33.64 
 
 31.37 
 
 33.51 
 
 31.52 
 
 33.87 
 
 31.66 
 
 33.23 
 
 31.81 
 
 46 
 
 47 
 
 34.37 
 
 32.05 
 
 34.23 
 
 32.20 
 
 34.09 
 
 32.35 
 
 33.95 
 
 32.50 
 
 47 
 
 48 
 
 35.10 
 
 32.74 
 
 34.96 
 
 32.89 
 
 34.82 
 
 33.04 
 
 34.67 
 
 33.19 
 
 48 
 
 49 
 
 35.84 
 
 33.42 
 
 35.69 
 
 33.57 
 
 35.54 
 
 33.73 
 
 35.40 
 
 33.88 
 
 49 
 
 50 
 
 36.57 
 
 34.10 
 
 36.42 
 
 34.26 
 
 36.27 
 
 34.42 
 
 36.12 
 
 34.58 
 
 50 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 B 
 
 O 
 
 06 
 
 
 
 
 
 
 I 
 
 47 Deg. 
 
 46| Deg. 
 
 46i Deg. 
 
 461 Deg ' 
 
 
 
 3 
 
TRAVERSE TABLE. 
 
 g 
 
 43 Deg. 
 
 43* Deg. 
 
 43^ Deg. 
 
 431 Dg. 
 
 q 
 
 1 
 
 
 
 
 
 | 
 
 3 
 P 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dop. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep, 
 
 
 51 
 
 37.30 
 
 34.78 
 
 37.15 
 
 34.94 
 
 36.99 
 
 35.11 
 
 36.84 
 
 35.27 
 
 "51 
 
 52 
 
 38.03 
 
 35.46 
 
 37.88 
 
 35.63 
 
 37.72 
 
 35.79 
 
 37.56 
 
 3o . 96 
 
 52 
 
 53 
 
 38.76 
 
 36.15 
 
 38.60 
 
 36.31 
 
 38.44 
 
 36.48 
 
 38.29 
 
 36 . 65 
 
 53 
 
 54 
 
 39.49 
 
 36.83 
 
 39.33 
 
 37.00 
 
 39.17 
 
 37.17 
 
 39.01 
 
 37.34 
 
 54 
 
 55 
 
 40.22 
 
 37.51 
 
 40.06 
 
 37.69 
 
 39.90 
 
 37.86 
 
 39 . 73 
 
 38.03 
 
 55 
 
 56 
 
 40.96 
 
 38.19 
 
 40.79 
 
 38.37 
 
 40.62 
 
 38.55 
 
 40.45 
 
 38.72 
 
 56 
 
 57 
 
 41.69 
 
 38.87 
 
 41.52 
 
 39.06 
 
 41.35 
 
 39.24 
 
 41.17 
 
 39.42 
 
 57 
 
 58 
 
 42.42 
 
 39 . 56 
 
 42.25 
 
 39.74 
 
 42.07 
 
 39.92 
 
 41.90 
 
 40.11 
 
 58 
 
 59 
 
 43.15 
 
 40.24 
 
 42.97 
 
 40.43 
 
 42.80 
 
 40.61 
 
 42.62 
 
 40.80 
 
 59 
 
 60 
 
 43.88 
 
 40.92 
 
 43.70 
 
 41.11 
 
 43.52 
 
 41.30 
 
 43.34 
 
 41.49 
 
 60 
 
 61 
 
 44.61 
 
 41.60 
 
 44.43 
 
 41.80 
 
 44.25 
 
 41.99 
 
 44.06 
 
 42.18 
 
 61 
 
 62 
 
 45.34 
 
 42.28 
 
 45.16 
 
 42.48 
 
 44.97 
 
 42.68 
 
 44.79 
 
 42.87 
 
 62 
 
 63 
 
 46.08 
 
 42.97 
 
 45.89 
 
 43.17 
 
 45.70 
 
 43.37 
 
 45.51 
 
 43.57 
 
 63 
 
 64 
 
 46.81 
 
 43.65 
 
 46.62 
 
 43.85 
 
 46.42 
 
 44.05 
 
 46.23 
 
 44.26 
 
 64 
 
 65 
 
 47.54 
 
 44.33 
 
 47.34 
 
 44.54 
 
 47.15 
 
 44.74 
 
 46.95 
 
 44.95 
 
 65 
 
 66 
 
 48.27 
 
 45.01 
 
 48.07 
 
 45.22 
 
 47.87 
 
 45.43 
 
 47.68 
 
 45.64 
 
 66 
 
 67 
 
 49.00 
 
 45.69 
 
 48.80 
 
 45.91 
 
 48.60 
 
 46.1'* 
 
 48.40 
 
 46.33 
 
 67 
 
 68 
 
 49 . 73 
 
 46.38 
 
 49.53 
 
 46.59 
 
 49.33 
 
 46.81 
 
 49.12 
 
 47.02 
 
 68 
 
 69 
 
 50.46 
 
 47.06! 
 
 50.26 
 
 47.28 
 
 50 . 05 
 
 47.50 
 
 49.84 
 
 47.71 
 
 69 
 
 70 
 
 51.19 
 
 47.74 
 
 50.99 
 
 47.96 
 
 50.78 
 
 48.18 
 
 50.57 
 
 48.41 
 
 70 
 
 71 
 
 51.93 
 
 48.42 
 
 51.71 
 
 48.65 
 
 51.50 
 
 48.87 
 
 51.29 
 
 49.10 
 
 71 
 
 72 
 
 52.66 
 
 49.10 
 
 52.44 
 
 49.33 
 
 52.23 
 
 49 . 56 
 
 52.01 
 
 49.79 
 
 72 
 
 73 
 
 53.39 49.79 
 
 53.17 
 
 50.02 
 
 52.95 
 
 50.25 
 
 52 . 73 
 
 50.48 
 
 73 
 
 74 
 
 54.12 
 
 50.47 
 
 53.90 
 
 50.70 
 
 53.68 
 
 50.94 
 
 53.45 
 
 51.17 
 
 74 
 
 75 
 
 54.85 
 
 51.15 
 
 54.63 
 
 51.39 
 
 54.40 
 
 51.63 
 
 54.18 
 
 51.86 
 
 75 
 
 76 
 
 55.58 
 
 51.83 
 
 55.36 
 
 52.07 
 
 55.13 
 
 52.31 
 
 54.90 
 
 52.55 
 
 76 
 
 77 
 
 56.31 
 
 52.51 
 
 56.08 
 
 52.76 55.85 
 
 53.00 
 
 55.62 
 
 53 . 25 
 
 77 
 
 78 
 
 57.05 
 
 53.20 
 
 56.81 
 
 53.44 
 
 56.58 
 
 53.69 
 
 56.34 
 
 53.94 
 
 78 
 
 79 
 
 57.78 
 
 53.88 
 
 57.54 
 
 54.13 
 
 57.30 
 
 54.38 
 
 57.07 
 
 54.63 
 
 79 
 
 80 
 
 58.51 
 
 54.56 
 
 58.27 
 
 54.81 
 
 58.03 
 
 55.07 
 
 57.79 
 
 55.32 
 
 80 
 
 81 
 
 59.24 
 
 55.24 
 
 59.00 
 
 55.50 
 
 58.76 
 
 55 . 76 
 
 58.51 
 
 56.01 
 
 81 
 
 82 
 
 59.97 
 
 55.92 
 
 59.73 
 
 56.18 
 
 59.48 
 
 56.45 
 
 59.23 
 
 56.70| 82 
 
 83 
 
 60.70 
 
 56.61 
 
 60.45 
 
 56.87 
 
 60.21 
 
 57.13 
 
 59 . 96 
 
 57.40 
 
 83 
 
 84 
 
 61.43 
 
 57.29 
 
 61.18 
 
 57.56 
 
 60.93 
 
 57.82 
 
 60.68 
 
 58.09 
 
 84 
 
 85 
 
 62.17 
 
 57 . 97 
 
 61.91 
 
 58.24 
 
 6 1 . 66 
 
 58.51 
 
 61.40 
 
 58 . 7S 
 
 85 
 
 88 
 
 62.90 
 
 58 . 65 
 
 62.64 
 
 58 . 93 
 
 62.38 
 
 59 . 20 
 
 62.12 
 
 59.47 
 
 86 
 
 87 63.63 
 
 59.33 
 
 63.37 
 
 59.61 
 
 63.11 
 
 59.89 
 
 62.85 
 
 60.16 
 
 87 
 
 88 
 
 64.36 
 
 60.02 
 
 84.10 
 
 60.30 
 
 63.83 
 
 60.58 
 
 63.57(60.85 88 
 
 89 
 
 65 . 09 
 
 60 . 70 
 
 64.82 
 
 60.98 
 
 64.56 
 
 61.26 
 
 64 . 29 
 
 61.54 89 
 
 90 
 
 65.82 
 
 61.38 
 
 65.55 
 
 61.67 
 
 65.28 
 
 61.95 
 
 65.01 
 
 62-24 90 
 
 91 
 
 66.55 
 
 62.06 
 
 66.28 162.35 
 
 6ft. 01 
 
 62.64 
 
 65.74 
 
 62.93 91 
 
 92 
 
 67.28 
 
 62.74 
 
 67.01 
 
 63.04 
 
 66 . 73 
 
 63.33 
 
 66.46 
 
 63.62 92 
 
 93 
 
 68.02 
 
 63.43 
 
 67.74 
 
 63 . 72 
 
 67.46 
 
 64.021 67.18 
 
 64.31 93 
 
 94 
 
 68.75 
 
 64.11 
 
 68.47 
 
 64.41 
 
 68.19 
 
 64.71 
 
 67.90 
 
 65.00 94 
 
 
 69.48 
 
 64.79 
 
 69.20 
 
 65.09 
 
 68.91 
 
 65 . 39 
 
 68.62 
 
 65.69 
 
 95 
 
 96 70.21 
 
 65.47 
 
 69.92 
 
 65 . 78 
 
 69.64 
 
 66.08 
 
 69.35 
 
 66.39 
 
 90 
 
 97 '70.94 
 
 66.15 
 
 70.65 
 
 66.46 
 
 70.36 
 
 66.77 
 
 70.07 
 
 67 . 08 
 
 9? 
 
 98 
 
 71.67 
 
 66.84 
 
 71.37 
 
 67.15 
 
 71.09 
 
 67.46 
 
 70.79 
 
 67.77 
 
 98 
 
 99 
 
 72.40 
 
 67.52 
 
 72.11 
 
 67.83 
 
 71.81 
 
 68.15 
 
 71.51 
 
 68.46 
 
 99 
 
 100 
 
 73.14 
 
 68.20 
 
 72.84 
 
 68.52 
 
 72.54 
 
 68.84 
 
 72.24 
 
 69.15 
 
 100 
 
 | 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 8 
 
 c 
 
 1 
 Q 
 
 47 Deg. 
 
 462 Deg. 
 
 461 Deg. 
 
 22 
 
 P 
 
TRAVERSE TABLE. 
 
 jg 
 
 44 Deg. 
 
 44^ Deg. 
 
 44 Deg. 
 
 44J Deg. 
 
 45 Deg. 
 
 O 
 
 1 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 P 
 
 1 
 
 0.72 
 
 0.69 
 
 0.72 
 
 0.70 
 
 0.71 
 
 0.70 
 
 0.71 
 
 0.71 
 
 0.71 
 
 0.71 
 
 1 
 
 2 
 
 1.44 
 
 1.39 
 
 1.43 1.40 
 
 1.43 
 
 1.40 
 
 1.42 
 
 1.41 
 
 1.41 
 
 1.41 
 
 2 
 
 3 
 
 2.16 
 
 2.08 
 
 2.J5 
 
 2.09 
 
 2.14 
 
 2.10 
 
 2.13 
 
 2.11 
 
 2.12 
 
 2.12 
 
 3 
 
 4 
 
 2.88 
 
 2.78 
 
 2.87 
 
 2.79 
 
 2.85 
 
 2.80 
 
 2.84 
 
 2.82 
 
 2.83 
 
 2.83 
 
 4 
 
 5 
 
 3.60 
 
 3.47 
 
 3.58 
 
 3.49 
 
 3.57 
 
 3.50 
 
 3.55 
 
 3.52 
 
 3.54 
 
 3.54 
 
 5 
 
 6 
 
 4.32 
 
 4.17 
 
 4.30 
 
 4.19 
 
 4.28J 4.21 
 
 4.26 
 
 4.22 
 
 4.24 
 
 4.24 
 
 6 
 
 7 
 
 5.04 
 
 4.86 
 
 5.01 
 
 4.88 
 
 4.99! 4.91 
 
 4.97 
 
 4.93 
 
 4.95 
 
 4.95 
 
 7 
 
 8 
 
 5.75 
 
 o.56 
 
 5.73 
 
 5.58 
 
 5.71 
 
 5.61 
 
 5.68 
 
 5.63 
 
 5.66 
 
 5.66 
 
 8 
 
 9 
 
 6.47 
 
 6.25 
 
 6.45 
 
 6.28 
 
 6.42 
 
 6.31 
 
 6.39 
 
 6.34 
 
 6.36 
 
 6.36 
 
 9 
 
 10 
 
 7.19 
 
 6.95 
 
 7.16 
 
 6.98 
 
 7.13 
 
 7.01 
 
 7.10 
 
 7.04 
 
 7.07 
 
 7.07 
 
 10 
 
 11 
 
 7.91 
 
 7.64 
 
 7.88 
 
 7.68 
 
 7.85 
 
 7.71 
 
 7.81 
 
 7. r /4 
 
 7.78 
 
 7.78 
 
 11 
 
 12 
 
 8.63 
 
 8.04 
 
 8.PO 
 
 8.37 
 
 8.56 
 
 8.41 
 
 8.52 
 
 8.45 
 
 8.49 
 
 8.49 
 
 12 
 
 13 
 
 9.35 
 
 9.03 
 
 9.31 
 
 9.07 
 
 9.27 
 
 9.11 
 
 9.23 
 
 9.15 
 
 9.19 
 
 9.19 
 
 13 
 
 14 
 
 10.07 
 
 9.73 
 
 10.03 
 
 9 . 77 
 
 9.99 
 
 9.81 
 
 9.94 
 
 9.86 
 
 9.90 
 
 9.90 
 
 14 
 
 15 
 
 10.79 
 
 10.42 
 
 10.74 
 
 10.47 
 
 10.70 
 
 10.51 
 
 10.65 
 
 10.56 
 
 10.61 
 
 10.61 
 
 15 
 
 16 
 
 11.51 
 
 11.11 
 
 11. 46111. 16 
 
 11.41 
 
 11.21 
 
 11.36 
 
 ll.26ill.31 
 
 11.31 
 
 16 
 
 17 
 
 12.23 
 
 11.81 |12. 18 11.86 
 
 12.13 
 
 11.92 
 
 12.07 
 
 11.971 12.02 
 
 12.02 
 
 17 
 
 18 
 
 12.95 
 
 12.50 
 
 12.89 
 
 12.56 
 
 12.84 
 
 12.62 
 
 12.78 
 
 12.37 12.73 
 
 12.73 
 
 18 
 
 19 
 
 13.67 13.20 
 
 13.61 
 
 13.26 
 
 13.55 
 
 13.32 
 
 13.49 
 
 13.38 13.43 
 
 13.43 
 
 19 
 
 20 
 
 14.39 13.89 
 
 14.33 
 
 13.96 
 
 14.26 
 
 14.02 
 
 14.20 14. 08114.14 
 
 14.14 
 
 20 
 
 21 
 
 15.11 
 
 14.59 15.04 
 
 14.65 
 
 14.9SI14.72 
 
 14.91 14.78114.85 
 
 14.85 
 
 21 
 
 22 15.83 
 
 15.28 15.76 
 
 15.35 
 
 15.69 
 
 15.42 
 
 15.62 15.49 
 
 15.56 
 
 15.56 
 
 2-2 
 
 23 
 
 16.54 
 
 15. 98 i!6. 47 16.05 
 
 16.40 
 
 16.12! 16.33 
 
 16.19 
 
 16.26 
 
 16.26 
 
 23 
 
 24 
 
 17.26 
 
 16.67 
 
 17.19ll6.75 
 
 17.12 
 
 16.82 
 
 17.04 
 
 16.90 
 
 16.97 
 
 16.97 
 
 24 
 
 25 
 
 17.98 
 
 17.37 
 
 17.91 
 
 17.44 
 
 17.83 
 
 17.52 
 
 17.75 
 
 17.60 
 
 17.68 
 
 17.68 
 
 25 
 
 26 118.70 
 
 18.06 
 
 18.62 
 
 18.14 
 
 18.54 
 
 18.22 
 
 18.46 
 
 18.30 
 
 18.38 
 
 18.38 
 
 26 
 
 27 
 
 19.42 
 
 18.76 19.34 
 
 18.84 
 
 19.36 
 
 18.92 
 
 19.17 
 
 19.01 
 
 19.09 
 
 19.09 
 
 27 
 
 28 
 
 20.14 
 
 19.45 
 
 20.06 
 
 :9.54 
 
 19.97 
 
 19.63 
 
 119.89 
 
 19.71 
 
 19.80 
 
 19.80 
 
 28 
 
 29 
 
 20.86 
 
 20.15 
 
 20.77 
 
 20.24 
 
 20.68 
 
 20.33|20.60 
 
 20.42 
 
 20.51 
 
 20.51 
 
 29 
 
 3021.58 
 
 20.84 
 
 21.49 
 
 20.93 
 
 21.40 
 
 21.03 
 
 !21 .31 
 
 21.12 
 
 21.21 
 
 21.21 
 
 30 
 
 31 22.30 21.53 
 
 22.21 
 
 21.63 
 
 22.11 
 
 21.73 
 
 '22.02 
 
 21.82 
 
 21.92 
 
 21.92 
 
 31 
 
 3223.02 22.23 
 
 22.92 
 
 22.33 
 
 22.82 
 
 22.43 
 
 !22. 73 
 
 22. 53 1| 22. 63 
 
 22.63 3'2 
 
 33 123.74 22. 92 
 
 23.64 
 
 23.03 
 
 23.54 
 
 23.13 
 
 |23.44 
 
 23.23 
 
 23.33 
 
 23.33J33 
 
 34 124.4623. 62 
 
 24.35 
 
 23 . 72 
 
 24 . 25 
 
 23.83124.15 
 
 23.94 
 
 24.04 
 
 24.04134 
 
 35 25. 18124.31 
 
 25 . 07 
 
 24.42 
 
 24.96 
 
 24.53 
 
 24.86 
 
 24.64 
 
 24.75 
 
 24.7535 
 
 36125.90 25.01 
 
 25 . 79 
 
 25.12 
 
 25 . 68 
 
 25.23 
 
 25.57 
 
 25.34 
 
 25.46 
 
 25. 46 i 36 
 
 37 26.6225.70 
 
 26 . 50 
 
 25.82 
 
 26.39 
 
 25.93 
 
 26.28 
 
 26.05 
 
 26.1626.163? 
 
 38|27.33 
 
 26.40 
 
 27.22 
 
 26.52 
 
 27. 10 
 
 26.63 
 
 126.99 
 
 26 . 75 
 
 26.87 
 
 26.87 38 
 
 39128.05 
 
 27.09 
 
 27.94 
 
 27.21 
 
 27,82 
 
 27.34 
 
 '27.7027.46 
 
 27.58 
 
 27.58 
 
 39 
 
 40 28. 77 127. 79 1|28. 65 
 
 27.91 
 
 28 . ii 
 
 28.04 
 
 28.41 
 
 28.16 
 
 28.28 
 
 28.28 
 
 40 
 
 41129.49 
 
 28.481 29. 37128. 61 
 
 29.24 
 
 28.74 
 
 29.12 
 
 28.86 
 
 28.99128. 99 
 
 41 
 
 42 20.21 
 
 29.18 30.08J29,31 
 
 29.96 
 
 29.44 
 
 29.83 
 
 29.57 
 
 20.7029.70 
 
 42 
 
 43 
 
 30.93 
 
 29. 87 130. 80 
 
 30.00 
 
 30.67 
 
 30.14 
 
 i30,54 
 
 30.27 
 
 30.41 30.41 
 
 43 
 
 44 
 
 31.6530.56 31.52 
 
 30 . 70 
 
 31.38 
 
 30.84 
 
 :31.25 
 
 30.98 
 
 31.11 31.11 
 
 44 
 
 45 
 
 32.37 
 
 3 1 . 26 
 
 32.23 
 
 31.40 
 
 32.10 
 
 81.64l31.9631.6SJi31.82i31.83 
 
 45 
 
 46 
 
 33.09 
 
 3 1 . 95 
 
 32.95 
 
 32.10 
 
 32.81 
 
 32.24 
 
 i32. 67132. 38||32. 53132. 53146 
 
 47 
 
 33.81 
 
 32 . 65 
 
 33.67 
 
 32 . 80 
 
 33 . 52 
 
 32.94 
 
 33.38 
 
 33. 09 133. 23 33. 23 !4? 
 
 48 
 
 34.53 
 
 33.34 
 
 34.38 
 
 33.49 
 
 34.24 
 
 33.64H34.09 
 
 33. 79IJ33. 94! 33. 94 48 
 
 49 
 
 35 . 25 
 
 34.04 
 
 35.10 
 
 34.19 
 
 34.95 
 
 34.34! ! 34.80 
 
 34.50 
 
 34.65:34.65 
 
 49 
 
 50 
 
 35 . 97 
 
 34.73 
 
 35.82 I 34.89; 
 
 35 . 66 
 
 35.05 35.51 
 
 35.20 
 
 35. 36 135. 36 
 
 50 
 
 1 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. Lat. 
 
 si 
 o 
 
 c 
 
 3 
 
 
 
 
 
 
 
 
 Q 
 
 46 Deg 
 
 45| Deg. 
 
 45^ Deg. 
 
 45| Deg. 
 
 45 Deg. 
 
 3 
 
TRAVERSE TABLE. 
 
 UH 
 
 w 
 
 &r 
 
 i 
 
 
 "5! 
 
 52 
 53 
 54 
 55 
 56 
 57 
 58 
 59 
 60 
 
 44 Deg. 
 
 44.} Dcg. 
 
 44i Deg. 
 
 44| Deg. 
 
 45 Deg. 
 
 O 
 % 
 
 1 
 
 Lat. 
 
 Dep. 
 
 35.43 
 
 36.12 
 36.82 
 37.51 
 38 . 2 1 
 33.90 
 39 . 60 
 40.29 
 40.98 
 41. 6S 
 42.37 
 43.07 
 43 . 76 
 44.46 
 45 . i 5 
 45 . 85 
 46. ni 
 47.24 
 47.93 
 48 . i3 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 35 . 75 
 36.45 
 37.15 
 37.85 
 38.55 
 39 . 25 
 39 . 95 
 40.65 
 41.35 
 42.05 
 
 Lat. 
 
 36 . 22 
 36.93 
 37.64 
 38.35 
 39.06 
 39.77 
 40.48 
 41.19 
 41.90 
 42.61 
 
 Dep. 
 
 Lai. 
 
 Dcp. 
 
 36 . 69 
 37.41 
 38.12 
 38.84 
 39.56 
 40.28 
 41.00 
 41.72 
 42.44 
 43.16 
 43.88 
 44.80 
 45.32 
 46.04 
 46.76 
 47.48 
 48.20 
 48 . 92 
 49.63 
 50.35 
 51.07 
 51.79 
 52.51 
 53.23 
 53.95 
 54.67 
 55.39 
 56.11 
 56.83 
 57.55 
 
 36.53 
 37.25 
 37.98 
 38.68 
 39.40 
 40.11 
 40 . 83 
 41.55 
 42.26 
 42 . 98 
 
 35 . 59 
 36.29 
 36.98 
 37.68 
 38 . 38 
 39.08 
 39.77 
 40.47 
 41.17 
 41.87 
 
 36.38 
 37.09 
 37.80 
 38 . 52 
 39 . 23 
 39 . 91 
 40.66 
 41.37 
 42.08 
 42 . 79 
 43~5l 
 44 22 
 44 93 
 45.65 
 46.36 
 47.0? 
 47.79 
 48 . 50 
 49.21 
 49.93 
 
 35.90 36. OG 
 36.61 36.77 
 37.31 37.48 
 
 38. 02;.38. IS 
 38.72!38.89 
 39.42 39.60 
 40.13 40.31 
 40.83.i41.0l 
 41.64rt41.72 
 42. 24 ! 142.43 
 
 36.06 
 36 . 77 
 37.48 
 38.18 
 38.89 
 39 . 60 
 40 . 3 1 
 41.01 
 4 1 . 72 
 42.43 
 
 51 
 
 52 
 53 
 54 
 55 
 56 
 57 
 58 
 59 
 GO 
 
 61 
 62 
 63 
 64 
 65 
 66 
 67 
 68 
 69 
 70 
 
 43.69 
 44.41 
 45.13 
 
 45.84 
 46.56 
 47.28 
 47.99 
 48,71 
 49.42 
 50.14 
 
 42.57 
 43.26 
 43.96 
 44.66 
 45 . 36 
 46.05 
 46.75 
 47.^5 
 48.15 
 48.85 
 
 42.76 
 43.46 
 44.16 
 44.86 
 45.56 
 46.26 
 46.96 
 47.66 
 48.36 
 49.06 
 
 43.82 
 44.03 
 44.74 
 45.45 
 46.16 
 46.87 
 47.58 
 48.29 
 49.00 
 49.71 
 
 42.94; 
 43.65! 
 44.35: 
 45.06 
 45.76 
 46.46! 
 47.17 
 47.87 
 48.58 
 49 . 28 
 
 43.1343.13 
 
 43.8443.84 
 44.55144.55 
 45. 25 !45. 25 
 45.96,45.96 
 46.67J46.67 
 47.38j47.38 
 48.08148.08 
 48.7948.79 
 49.50,49.50 
 
 61 
 62 
 03 
 (54 
 65 
 66 
 67 
 68 
 69 
 70 
 
 71 
 
 72 
 73 
 74 
 75 
 76 
 77 
 78 
 79 
 80 
 
 49. 32 150. 86 
 50. 02 151.57 
 50.7l|!52.29 
 51.40153.01 
 52.10j53.72 
 52. 7 9i 54. 44 
 53.49' : 55.16 
 54.18 55.87 
 54.88 56.59 
 55.57157.30 
 
 49.54 50.64 
 50. 24' 51. 35 
 50.94152.07 
 51.641152.78 
 52. 33! 53.49 
 53.03! 54.21 
 53.73IJ 54. 92 
 54.431 55.63 
 55.13| 56.35 
 55.82 57.06 
 
 49.76 
 50.47 
 51.17 
 51.87' 
 52 . 57 
 53.27 
 53.97 
 54.67 
 55.37 
 56 . 07 
 
 50.42 
 51.13 
 51.84 
 52.55 
 53.26 
 53.97 
 54.68 
 55.39 
 56.10 
 56.81 
 
 49.98 
 50.69 
 51.39 
 52.10 
 52.80 
 53.51 
 54.21 
 54.91 
 55.62 
 56.32 
 
 50. 20; 50. 20 
 50.91 50.91 
 51.62 51.62 
 
 52.3352.33 
 53.0353.03 
 53.7453.74 
 
 54.4554.45 
 55.1555.15 
 
 55. 86 '55. 80 
 56.57,56.57 
 
 71 
 
 72 
 73 
 
 74 
 75 
 76 
 
 77 
 78 
 79 
 80 
 
 81 
 82 
 83 
 84 
 85 
 86 
 87 
 88 
 89 
 90 
 
 58.27 
 58 . 99 
 59.71 
 60.42 
 61.14 
 61.86 
 62.58 
 63.30 
 64.02 
 64.74 
 65.46 
 66.18 
 66.90 
 67.62 
 68.34 
 69.06 
 69.78 
 70.50 
 71.21 
 71.93 
 
 Dep. 
 
 56 . 27 
 56 . 96 
 57.66 
 58 . 35 
 59 . 05 
 59 . 74 
 60.4-1 
 61.13 
 61.82 
 62.52 
 
 58.02 
 : 58.74 
 '59.45 
 60.17 
 60.89 
 61.60 
 62 . 32 
 163.03 
 63.75 
 64.47 
 
 56.52 
 57.22 
 57.92 
 58.61 
 59.31 
 60.01 
 60.71 
 61.41 
 62.10 
 62.80 
 
 57 . 77 
 58 . 49 
 59.20 
 59.91 
 60.63 
 61.34 
 62.05 
 62 . 77 
 63.48 
 64.19 
 
 56.77 
 57.47 
 58.18 
 58 . 88 
 59 . 58 
 60.28 
 60.98 
 61.68 
 62.38 
 63.08 
 
 57.52 
 58.24 
 58.95 
 59.66 
 60.37 
 61.08 
 61.79 
 62.50 
 63.21 
 63.92 
 
 57.03 
 57.73 
 58.43 
 59.14 
 59.84 
 60 . 55 
 61.25 
 61.95 
 62.66 
 63 . 36 
 
 57.28 57. 23 
 57.9857.98 
 58.6958.69 
 59.40 59.40 
 60.1060.10 
 60.81 60.81 
 61.5261.52 
 62.2362.23 
 62.93 62.93 
 63.6463.64 
 
 HI 
 82 
 83 
 84 
 85 
 86 
 87 
 88 
 89 
 90 
 
 91 
 92 
 93 
 94 
 95 
 96 
 97 
 98 
 99 
 100 
 
 1 
 
 5 
 
 
 63.2i 65.18 
 63.91 65.00 
 64.60-66.62 
 65.30 67.33 
 65.99168.05 
 66.69J68.76 
 67.38,69. 48 
 68.08,70.20 
 68.77i70.9l 
 69.47!>:71.63 
 
 63.50 
 64.20 
 64.89 
 65 . 59 
 66.29 
 66.99 
 67.69 
 68.38 
 69.08 
 69.78 
 
 64.91 
 65.62 
 66.33 
 67.05 
 67.76 
 68 ,47 
 69.19 
 69.90 
 70.61 
 71.33 
 
 63 . 7S 
 64.48 
 65.18 
 65.89 
 66 . 59 
 67.29 
 67.99 
 68.69 
 69.39 
 70.09 
 
 64.63 
 65.34 
 66.05 
 66.76 
 67.47 
 68.18 
 68.89 
 69 . 60 
 70.31 
 71.02 
 
 64.07 
 64.77 
 65.47 
 66.18 
 66.88 
 67.59 
 68.29 
 68.99 
 69.70 
 70.40 
 
 64. 3n 64.35 
 65.05 65.0:') 
 65.76 65. 7H 
 66.47 66.47 
 67.18167.18 
 67.88<:67.88 
 68.59168.59 
 69. 30,69.30 
 70.00 70,00 
 70.71 70.71 
 
 91 
 92 
 i 93 
 94 
 95 
 96 
 ! 97 
 i 98 
 i 99 
 ilOO 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 
 Lat. 
 
 Dep. 
 45 
 
 Lat. 8 
 
 In 
 
 Deg. ' 5 
 
 46 Deg. 
 
 45| Deg. 
 
 45 Deg. 
 
 454 Deg.^ 
 
A TABLE OF NATURAL SIXES. 
 
 De/. 
 
 1 Deg. 
 
 2 Deg. 
 
 3 Deg. 
 
 4 Deg. 
 
 
 
 Nat. N. Co- 
 
 Nat. ;N. Co- 
 
 Nat. 
 
 N. Co- 
 
 ~N 7 At! NTccT 
 
 Nat. N. Co-" 
 
 
 M 
 
 Sine 
 
 Sii.e 
 
 Sine 1 Sine 
 
 Sine 
 
 Sine 
 
 Sine 
 
 Sine 
 
 Sine 
 
 Sine 
 
 M 
 
 
 
 00000 
 
 (Jnu. 
 
 01745,99985 
 
 03490 
 
 99039 
 
 05234 
 
 99863 
 
 06976 
 
 99756 
 
 60 
 
 1 
 
 00029 00000 
 
 0177499984 
 
 03519 
 
 99938 
 
 05263 99861 
 
 07005 
 
 99754 
 
 59 
 
 2 00058,100000 
 
 01803 99984 
 
 03548 
 
 99937 
 
 05292 
 
 99860 
 
 07034199752 
 
 58 
 
 2 
 
 00087 
 
 00000 
 
 0183299983 
 
 03577 
 
 99936 
 
 105321 
 
 99858' 07063199750 
 
 57 
 
 4 
 
 00116 
 
 00000 
 
 0186299983 
 
 03606 
 
 99935 
 
 05350 99857 07092 
 
 99748 
 
 56 
 
 5 
 
 00145 
 
 00000 
 
 01891 99982 
 
 03635 
 
 99934 
 
 05379 99855' 0712 J 
 
 99746 
 
 55 
 
 6 
 
 00175 00000 
 
 01920199982 
 
 03864 
 
 99933 
 
 05408 
 
 99854 
 
 07150 
 
 99744 
 
 54 
 
 7 
 
 0020400000 
 
 01949 
 
 99981 
 
 03693 
 
 99932 
 
 05437 
 
 99852 07179 
 
 99742 
 
 53 
 
 8 
 9 
 
 0023300000 
 
 00262(00000 
 
 01978 
 02007 
 
 99980 
 99980 
 
 03723 
 03752 
 
 99931 
 99930 
 
 05466 
 
 05495 
 
 99851 
 99849 
 
 07208 
 07237 
 
 99740 
 99738 
 
 52 
 51 
 
 10 
 
 00291100000 
 00320J99999 
 
 02036 
 020G5 
 
 99979 
 99979 
 
 03781 
 03810 
 
 99929 
 99927 
 
 05524 
 05553 
 
 99847 
 99846 
 
 07266 
 07295 
 
 99736 
 99734 
 
 50 
 
 49 
 
 12 
 
 0034999999 
 
 02094 
 
 99978 
 
 03839 
 
 99926 
 
 05582 
 
 99844 
 
 07324 
 
 99731 
 
 48 
 
 13 
 
 00378199999 
 
 02123 
 
 99977 
 
 03868 
 
 99925 
 
 05611 
 
 99842 
 
 07353 
 
 99729 
 
 47 
 
 14 
 
 00407 
 
 99999 
 
 102152 
 
 99977 
 
 03897 
 
 99924 
 
 05640 
 
 99841 
 
 07382 
 
 99727 
 
 46 
 
 15 
 
 00436 
 
 J 1 9999 
 
 02 1 8 1 
 
 99976 
 
 03926 
 
 99923 
 
 05669 
 
 99839 
 
 07411 
 
 99725 
 
 45 
 
 16 
 
 00465 
 
 9999 
 
 02211 
 
 99976 
 
 03955 
 
 99922 
 
 05698 
 
 99838 
 
 07440 
 
 99723 
 
 44 
 
 IV 
 
 00495 
 
 99999 
 
 02240 
 
 99975 
 
 03984 
 
 99921 
 
 05727 
 
 99836 
 
 07469 
 
 99721 
 
 43 
 
 18 
 
 00524 
 
 99999 102269 
 
 99974 
 
 04013 
 
 99919 
 
 05756 
 
 99834 
 
 0749S 
 
 99719 
 
 42 
 
 19 
 
 00553 9999S 
 
 02298 
 
 99974! 
 
 04042 
 
 99918 
 
 05785 
 
 99833 
 
 07527 
 
 99716 
 
 41 
 
 20 
 
 00582 1 99998 
 
 0232? 
 
 99973| 
 
 04071 
 
 99917 
 
 05814 
 
 99831 
 
 0/556 
 
 99714 
 
 40 
 
 21 
 
 00611 
 
 9999S 
 
 02356 
 
 (1997-7 
 
 04100 
 
 99916 
 
 05844 
 
 99829 
 
 07585 
 
 99712 
 
 39 
 
 22 
 
 00640 
 
 9999S 
 
 02385 
 
 999721 
 
 04129 
 
 99915 
 
 05873 
 
 99827 
 
 07614 
 
 99710 
 
 38 
 
 23 
 
 00669 
 
 99998 
 
 02414 
 
 99971J 
 
 04159 
 
 99913 
 
 05902 
 
 99826 
 
 07643 
 
 99708 
 
 37 
 
 24 
 
 00698199998 
 
 02443 
 
 99970 
 
 04188 
 
 99912 
 
 05931 
 
 99824 
 
 07672 
 
 99705 
 
 36 
 
 25 
 26 
 
 00727 
 007f-6 
 
 99fi97 
 99997 
 
 02472 99969! 
 02501 199969' 
 
 04217 
 04246 
 
 J9911 
 99910 
 
 05960 
 05989 
 
 99822 
 99821 
 
 07701 
 07730 
 
 99703 
 99701 
 
 35 
 
 34 
 
 27 
 
 00785 99J97 
 
 02530 
 
 99968' 
 
 04275 
 
 99909 
 
 06018 
 
 99819 
 
 07754 
 
 99699 
 
 33 
 
 28 
 29 
 
 00814:9999? 
 00844199996 
 
 02560 
 
 02589 
 
 99967: 04304 
 99966 04333 
 
 99907 
 99906 
 
 06047 
 06076 
 
 99817 
 99815 
 
 0778;- 
 07817 
 
 99696 
 99694 
 
 32 
 31 
 
 30 
 
 00873 99996 
 
 02618 
 
 99966JJ04362 
 
 99905 
 
 06105 
 
 99813 
 
 07846 
 
 99692 
 
 30 
 
 31 0090299996 
 3200931 99996 
 
 02647 
 02676 
 
 999651(04391 
 099641104420 
 
 99004 
 99902 
 
 06134 
 06163 
 
 99812 
 99810 
 
 07876 
 07904 
 
 99689 
 99687 
 
 29 
 
 28 
 
 33 00960 99995 
 
 02705 
 
 99963 04449 
 
 99901 
 
 06192 
 
 99808- 
 
 07933 
 
 99685 
 
 27 
 
 34 
 
 00989 99995 
 
 02734 
 
 99963 104478 
 
 99900 
 
 C6221 
 
 99806 
 
 07962 
 
 99683 
 
 26 
 
 35 
 
 OJOlif 99995 
 
 02763 
 
 99962 
 
 0450? 
 
 99898 
 
 06250 
 
 99804 
 
 07991 
 
 99680 
 
 25 
 
 36 
 
 01017'99995 
 
 92792 
 
 99961 104536 
 
 99897 
 
 06279 
 
 99803 
 
 08020 
 
 99678 
 
 24 
 
 37 
 
 01076,99994 
 
 02821 
 
 99960 
 
 04565 
 
 09896 
 
 06308 
 
 99801 
 
 0804!-) 
 
 99676 
 
 
 38 
 
 01105199994 
 
 02 450 
 
 99959 
 
 04594 
 
 99894 
 
 06337 
 
 99799 
 
 08078 
 
 99673 
 
 22 
 
 39 
 
 01134 99994 
 
 028 79 
 
 99959 04623 
 
 99893 
 
 06366 
 
 99797 
 
 08107 
 
 99671 
 
 21 
 
 40 
 
 01164 99993 
 
 02908 
 
 09958 '04653 
 
 99892 
 
 03395 
 
 99795 
 
 08136 
 
 99668 
 
 20 
 
 41 
 
 0119399993 
 
 02938 
 
 39957! 04682 
 
 99890 
 
 06424 
 
 99793 
 
 08165 
 
 99666 
 
 19 
 
 42 
 
 01222 99993 
 
 02967 
 
 99956:104711 
 
 99889 
 
 06453 
 
 99792 
 
 08194 
 
 99664 
 
 18 
 
 43 
 
 01251 99992 
 
 02996 
 
 99955J04740 
 
 99888 
 
 06482 
 
 99790 
 
 08223 
 
 99661 
 
 17 
 
 44 
 
 01280 
 
 99992 
 
 03025 
 
 99954104769 
 
 99886 
 
 06511 
 
 99788 
 
 08252 
 
 99659 
 
 16 
 
 45 
 
 01309 
 
 99991 
 
 03054| 99953 04798 
 
 99885 
 
 06540 
 
 99786 
 
 08281 
 
 99657 
 
 15 
 
 46 
 
 01338199991 
 
 03083 
 
 19952 04827 
 
 99883 
 
 06569 
 
 99784 
 
 083 1 
 
 99654 
 
 14 
 
 47 
 
 01367 
 
 99991 
 
 13112 
 
 99952 04856 
 
 99882 
 
 06598 
 
 99782 
 
 08339 
 
 99652 
 
 13 
 
 48 
 
 01396 
 
 99990 
 
 03141 
 
 99951 04885 
 
 99881 
 
 06627 
 
 997bO 
 
 08368 
 
 99649 
 
 12 
 
 49 
 
 01425 
 
 99990 
 
 03170 
 
 09950 04914 99879 
 
 06656 
 
 99778 
 
 08397:99647 
 
 11 
 
 50 
 
 01454 
 
 99989 
 
 03199 
 
 99949 04943(99878 
 
 06685 
 
 99776 
 
 08426 99644 
 
 10 
 
 51 
 
 01483 
 
 99989 
 
 03228 
 
 99948 04972 99876 
 
 06714 
 
 99774 
 
 08455 99642 
 
 9 
 
 52 
 
 01513 
 
 99989 
 
 03257 
 
 99947:105001 99875 106743 '99772 
 
 08484 99639 
 
 8 
 
 53 
 
 01542 
 
 99988 
 
 03286 
 
 99946 05030 99873 
 
 06773,99770 
 
 08513 99637 
 
 7 
 
 54 
 
 01571 
 
 99988 
 
 03316 999451:0505999872 
 
 06802(99768 
 
 08542 99635 
 
 6 
 
 55 
 
 01600 
 
 99987 
 
 )8345 99944 05088 99870 
 
 06831 
 
 99766 
 
 08571 99632 
 
 5 
 
 56 
 
 01629 
 
 99987 
 
 03374 
 
 99943 0511799869 
 
 06860 
 
 99764 
 
 08600 99630 
 
 4 
 
 5701658 
 
 99986 
 
 03403 
 
 99942 05146 
 
 99867)06889 
 
 99762 
 
 08629 99627 
 
 3 
 
 58101687 
 
 9999^ 
 
 13432 
 
 90941 05175 
 
 99S66JOS918 99760 
 
 
 !)9625i 2 
 
 59 
 
 01716 
 
 993S5 
 
 >34fi 1 
 
 39940 05205 
 
 09S64J06947 
 
 99753 
 
 )8t587|99622| 1 
 
 ft' N. Co- 
 
 Nat 
 
 ,. . u- 
 
 Nsit. 7v ' >- 
 
 "Nat. ||N. Co- 
 
 >'.. 
 
 v Co- 
 
 Xat* 1 M 
 
 Sine 
 
 Sine 
 
 si;ie Sine :! Si' 1 ". Sine jl Sine 
 
 Si .ie || Sine 
 
 Sine 
 
 ' fW TW 
 
 M rw ;7 !i...r. Hfi i),.., I 85 DP ? . 
 
A TABLE OF NATTTBAL SINES 
 
 93 
 
 
 ; o Deg. 
 
 6 Deg. 
 
 7 Dog. 
 
 8 Deg. 
 
 9 Deg. 
 
 
 M 
 
 N. S. 
 
 N. CS. 
 
 N. S. 
 
 N.CS. 
 
 N.S. 
 
 N.CS. 
 
 N.S. 
 
 N.CS. 
 
 N.S. 
 
 N.CS. 
 
 M 
 
 
 
 08716 
 
 99619 
 
 10453 
 
 9452 
 
 12187 
 
 99255 
 
 13917 
 
 99027 
 
 15643 
 
 98769 
 
 30 
 
 1 
 
 08745 
 
 99617 
 
 10482 
 
 9449 
 
 12216 
 
 99251 
 
 13946 
 
 99023 
 
 15672198764 
 
 ^9 
 
 2 
 
 08774 
 
 99614 
 
 10511 
 
 9446 
 
 12245 
 
 99248 
 
 13975 
 
 99019 
 
 1570ll98760 
 
 58 
 
 3 
 
 08803 
 
 99612 
 
 10540 
 
 99443 
 
 12274 
 
 99244 
 
 14004 
 
 99015 
 
 15730 
 
 98755 
 
 57 
 
 4 
 
 08831 '99609 
 
 10569 
 
 9440 
 
 12302 
 
 99240 
 
 14033 
 
 99011 
 
 15758 
 
 98751 
 
 56 
 
 5 
 
 0886099607 
 
 10597 
 
 99437 
 
 12331 
 
 99237 
 
 14061 
 
 99006 
 
 15787 98746 
 
 55 
 
 6 
 
 08889 99604 
 
 10626 
 
 99434 
 
 12360 
 
 99233 
 
 14090 
 
 99002 
 
 15816 
 
 98741 
 
 54 
 
 7 
 
 08918:99602 
 
 10655 
 
 99431 
 
 12389 
 
 99230 
 
 14119 
 
 98998 
 
 15845 
 
 98737 
 
 53 
 
 8 
 
 08947 99599 
 
 10684 
 
 99428 
 
 12418 
 
 99226 
 
 14148 
 
 98994 
 
 15873 
 
 98732 
 
 52 
 
 9 
 
 10 
 
 08976 99596 
 09005 99594 
 
 10713 
 10742 
 
 99424 
 99421 
 
 12447 
 12476 
 
 99222 
 99219 
 
 14177198990 
 14205 98986 
 
 15902 
 15931 
 
 98728 
 98723 
 
 51 
 50 
 
 11 
 
 09034 
 
 99591 
 
 10771 
 
 99418 
 
 12504 
 
 99215 
 
 14234 
 
 98982 
 
 15959 
 
 98718 
 
 49 
 
 12 
 
 09063 
 
 99588 
 
 10800 
 
 99415 
 
 12533 
 
 99211 
 
 14263 
 
 98978 
 
 15988 
 
 9S714 
 
 48 
 
 13 
 
 09092 
 
 99586 
 
 10829 
 
 994-12 
 
 12562 
 
 99208 
 
 14292 
 
 98973 
 
 16017 
 
 98709 
 
 47 
 
 14 
 
 09121 99533 
 
 10858 
 
 99409 
 
 12591 
 
 99204 
 
 14320 
 
 98969 
 
 16046 
 
 98704 
 
 46 
 
 15 
 
 09150 99580 
 
 10887 
 
 99406 
 
 12620 
 
 99200 
 
 14349 
 
 98965 
 
 16074 
 
 98700 
 
 45 
 
 16 
 
 09179 
 
 99578 10916 
 
 99402 
 
 12649 
 
 99197 
 
 14378 
 
 98961 
 
 16103 
 
 98695 
 
 4-4 
 
 17 
 
 09208 
 
 99575 10945 
 
 99399 
 
 12678 
 
 991931 14407 
 
 98957 
 
 1G132 
 
 98690 
 
 43 
 
 18 
 
 09237! 99572 
 
 10973 
 
 99396 
 
 12706 
 
 99189 
 
 14436 
 
 98953 
 
 16160 
 
 98686 
 
 42 
 
 19 
 
 09266 995^0 
 
 11002 
 
 99393 
 
 12735 
 
 99186 
 
 14464 
 
 98948 
 
 16189 98681 
 
 41 
 
 20 
 
 09295 99567 
 
 11031 
 
 99390 
 
 12764 
 
 99182 
 
 14493 
 
 98944 
 
 I621b CS676 
 
 40 
 
 21 
 
 09324 99564 
 
 11060 
 
 99386 
 
 12793 
 
 99178 
 
 14522 '98940 
 
 16246 
 
 98671 
 
 39 
 
 22 
 
 09353199562 
 
 11089 
 
 99383 
 
 12822 
 
 99175 
 
 14551 
 
 98938 
 
 16275 
 
 98667 
 
 38 
 
 23J09382I99559 
 
 11118 
 
 99380 
 
 12851 
 
 99171 
 
 14580 
 
 98931 
 
 16304 
 
 98662 
 
 37 
 
 24 
 
 09411 99556 
 
 11147 
 
 99377 
 
 12880 
 
 99167 
 
 14608 
 
 98927 
 
 16333 
 
 98657 
 
 36 
 
 25 
 26 
 
 09440199553 
 09469 99551 
 
 11176 
 11205 
 
 99374 
 99370 
 
 12908 99163 
 12937)99160 
 
 14637 
 14666 
 
 98923 
 98919 
 
 16361 
 16390 
 
 98652 
 98648 
 
 35 
 
 34 
 
 27 
 
 09498 
 
 99548 
 
 1 1234 
 
 99367 
 
 12966 
 
 99156 
 
 14695 
 
 98914 
 
 16419 
 
 98643 
 
 33 
 
 28 
 
 09527 
 
 99545 1 11263 
 
 99364 
 
 12995 
 
 99152 
 
 14723 
 
 98910 
 
 1 6447 i 98638 
 
 32 
 
 29 
 
 09556 99542 Si 1291 
 
 99360 
 
 13024 
 
 99148 
 
 14752 
 
 98906 
 
 1 6476 1 98633 
 
 31 
 
 30 
 
 095S5 
 
 99540 
 
 11320 
 
 99357 
 
 13053 
 
 99144 
 
 14781 
 
 98902 
 
 16505 
 
 98629 
 
 30 
 
 31 
 
 09614 
 
 99537 
 
 ! 11349 
 
 J9354 
 
 13081 
 
 99141 
 
 ' 148 10 98897 
 
 16533 
 
 98624 
 
 29 
 
 32 
 
 09642 
 
 99534 
 
 '11378 
 
 99351 
 
 13110 
 
 99137 
 
 14838J98893 
 
 16562 
 
 98619 
 
 28 
 
 33 
 
 09671 
 
 99531 11407 
 
 99347 
 
 13139 
 
 99133 
 
 !l4867i98889 
 
 16591 
 
 98614 
 
 27 
 
 34 
 
 09700 
 
 99528J11436 
 
 99344 
 
 13168 
 
 99129 
 
 14896 98884 
 
 16620 
 
 98609 
 
 26 
 
 35 
 
 09720 
 
 995^6 11465 
 
 99341 
 
 13197 
 
 99125 
 
 14925 98880 
 
 16648 
 
 98604 25 
 
 36 
 
 09758 
 
 995543 ; 11494 
 
 J9337 
 
 13226 
 
 99122 
 
 114954 98876 
 
 1G677 
 
 98600 
 
 24 
 
 37 
 
 09787 
 
 99520J 11523 
 
 99334 
 
 13254(99118 
 
 11498298871 
 
 I6706i 98595 
 
 23 
 
 38 
 
 09816 
 
 99517 
 
 1 1 552 
 
 99331 
 
 13283 99114 
 
 15011 198867 
 
 16734 ',98590 1 22 
 
 39 
 
 09845 
 
 99514 
 
 '11580 
 
 J9327 
 
 13312 99110 
 
 15040198863 
 
 16763 98585)21 
 
 40 
 
 09874 
 
 99511 
 
 111609 
 
 99324 
 
 13341 99106 
 
 15069 
 
 98858 
 
 16792 98580 20 
 
 41 
 
 09903 
 
 99508 
 
 : 11638 
 
 J9320 
 
 13370199102 
 
 1509 r , 
 
 98854 
 
 16820198575 19 
 
 42 
 
 0993i: 
 
 99506 
 
 1 11667 
 
 99317 
 
 13399 99098 
 
 JJ5126 
 
 98849 
 
 16849 98570J18 
 
 43 
 
 09961 
 
 99503!' 11696 
 
 99314 
 
 13427 
 
 99094 
 
 115155 
 
 98845 
 
 16878! 98565 
 
 17 
 
 44 
 
 09990 
 
 99500 1 1 11 725 
 
 99310 
 
 13456 99091 
 
 115184 98841 
 
 16906 
 
 98561 
 
 16 
 
 45 
 
 100L9 
 
 99497 
 
 111764 
 
 99307 
 
 ! 3485] 99087 
 
 1 152 12; 98836 
 
 16935 
 
 98556 
 
 15 
 
 4G 
 
 10048 
 
 094941 1 1783 
 
 99303 
 
 135H|990S3 H5241 '9*832 
 
 169G4I98551 
 
 14 
 
 47 
 
 10077 
 
 99491 
 
 11812 
 
 9080C 
 
 13543 
 
 990791 15270 9PS27 
 
 16992 98546 
 
 13 
 
 48 
 
 1040699488 
 
 11840 
 
 99297 
 
 13572 
 
 99075 
 
 15292 9S823 
 
 17021 98541 
 
 12 
 
 49 
 
 1018699485 
 
 111869 
 
 99293 
 
 13600 
 
 99071 
 
 ! 15327 1988 18 
 
 17050 98536 
 
 11 
 
 50 
 
 10164994821 11898 
 
 99290 
 
 13629 
 
 99067 
 
 15356198814 
 
 17078.98531 
 
 10 
 
 51 
 
 10392 99479 
 
 11927 
 
 99286 
 
 13658 
 
 99063 
 
 115385 98809 
 
 17107 98526 
 
 9 
 
 52 
 
 10221 '99476 
 
 ! 11956 
 
 99283 
 
 13687 
 
 99059 
 
 15414198805 
 
 17136 98521 
 
 8 
 
 53 
 
 10250 199473 
 
 11985 
 
 99279 
 
 13716 
 
 99055 
 
 154 42 $8800 
 
 17164 '98516 
 
 7 
 
 54 
 55 
 56 
 
 10279 
 10308 
 10337 
 
 99470 
 99467 
 99464 
 
 J12014 
 12043 
 12071 
 
 99276 
 99272 
 99269 
 
 13744 
 13771] 
 13802 
 
 99051 
 199047 
 99043 
 
 15471 J98796 
 1550098791 
 
 !; 15529 98787 
 
 17193 98511 
 1722298506 
 17250:98501 
 
 6 
 5 
 
 4 
 
 57 
 
 10366 
 
 9946 1 
 
 112100 
 
 99265 ill 3831 
 
 990391; 15557 198782 
 
 17279 98496 
 
 3 
 
 58 
 
 1039:' 
 
 99458 
 
 112129 
 
 99262 ! 13860 199035 111 5586 198778 
 
 17308 98491 
 
 2 
 
 59 
 
 10424(99455 
 
 112158 
 
 99258H1388C 
 
 99031 1581E 
 
 98773 
 
 173:36 '98486 
 
 1 
 
 M 
 
 N.CS. N. S. 
 
 i N. eg. 
 
 N.S. .N.CS 
 
 N.S. 
 
 ! N. CS 
 
 N.S. 
 
 N. CS 
 
 N.S. 
 
 M 
 
 
 M Dry 1 ftf Deg. 1 M Deg. 
 
 81 Deg. 
 
 HO Deg. 
 
 
94 
 
 A TABLE OF TXATUBAL SINES. 
 
 
 
 12 Deg. 
 
 j 13 Deg. 1 
 
 14 Deg. 
 
 
 M 
 
 N.S. 
 
 N. CS. 
 
 : N.S. 
 
 N. CS. 
 
 N.S. 
 
 N. CS. 
 
 | N. S. 1 N. CS. ! 
 
 N.S. 
 
 N.C8. 
 
 M 
 
 
 
 17365 
 
 98481 
 
 19081 
 
 98163 
 
 20791 
 
 97815 
 
 22495 
 
 97437 24192 
 
 97030 
 
 60 
 
 1 
 
 17393 
 
 98476 
 
 19109 
 
 9815? 
 
 20820 
 
 97809 
 
 [22623 
 
 97430 24220 97023 
 
 59 
 
 2 
 
 17422 
 
 98471 
 
 ;19138 
 
 98152 
 
 20848 
 
 97803 
 
 i22552 
 
 97424,24249 97015 
 
 58 
 
 3 
 
 17451 
 
 98466 
 
 19167 
 
 98146 
 
 20877 
 
 97797 
 
 22580 
 
 974l7i|24277 97008 
 
 57 
 
 4 
 
 17479 
 
 98461 
 
 ! 19195 
 
 98140 
 
 20905 
 
 97791 
 
 i22608 
 
 97411 24305 
 
 97001 
 
 56 
 
 5 
 
 17508 
 
 98455 
 
 119224 
 
 98135 
 
 20933 
 
 97784 
 
 22637 197404!!24333 96994 
 
 55 
 
 6 
 
 17537 
 
 98450 
 
 i!925" 
 
 98129 
 
 20962 
 
 97778 
 
 22665197398 24362 96987 
 
 54 
 
 7 
 
 17565 
 
 98445 
 
 ! 1928l 
 
 98124 
 
 20990 
 
 97772 
 
 22693 
 
 9739 11124390 96980 
 
 53 
 
 8 
 
 17594 
 
 98440 
 
 119309 
 
 98118 
 
 21019 
 
 97766 
 
 22722 
 
 97384 24418 96973 
 
 52 
 
 9 
 
 17623 
 
 98435 
 
 119338 
 
 98112 
 
 21047 
 
 97760 
 
 22750 
 
 97378: 
 
 24446 
 
 96966 
 
 51 
 
 10 
 
 17651 
 
 98430 
 
 119366 
 
 98107 
 
 21076 
 
 97754 
 
 22778 
 
 97371 
 
 24474 
 
 96959 
 
 50 
 
 11 
 
 17680 
 
 98425 
 
 19395 
 
 98101 
 
 21104 
 
 97748 
 
 22807 
 
 973651 
 
 24503 
 
 96952 
 
 49 
 
 12 
 
 17708 
 
 98420 
 
 19423 
 
 38096 
 
 21132 
 
 97742 
 
 22835197358) 
 
 24531 
 
 96945 
 
 48 
 
 13 
 
 14 
 
 1773798414 
 17766 98409 
 
 19452 
 19481 
 
 98090 
 98084 
 
 21161 
 21189 
 
 97735 
 97729 
 
 22863 97351 
 
 22892 97345: 
 
 24559 
 
 24587 
 
 96937 
 96930 
 
 47 
 46 
 
 15 
 
 17794 
 
 98404 
 
 19509 
 
 98079 
 
 21218 
 
 97723 
 
 : 22920 
 
 97. f i38 124615 
 
 96923 
 
 45 
 
 16 
 
 17823 
 
 98399 
 
 19538 
 
 98073 
 
 21246 
 
 97717 
 
 22948 
 
 97331 124644196916 
 
 44 
 
 17 
 18 
 
 17852 
 17880 
 
 983&4 
 98389 
 
 19566 
 19595 
 
 98067 
 98061 
 
 21275 
 21303 
 
 97711 
 97705 
 
 22977 
 23005 
 
 97325 
 
 97318 
 
 24672 1 96909 
 24700196902 
 
 43 
 
 42 
 
 19 
 
 17909 
 
 98383 
 
 19623 
 
 98056 
 
 21331 
 
 97698 
 
 23033 
 
 973 li 
 
 24728|96894 
 
 41 
 
 20 
 
 1793V 
 
 y8378 
 
 19652 
 
 98050 
 
 21360 
 
 97692 
 
 23062 
 
 97304 
 
 24756 96887 
 
 40 
 
 21 
 
 17966 
 
 98373 
 
 19680 
 
 98044 
 
 21388 
 
 97686 
 
 23090 
 
 97298124784 
 
 96880 
 
 39 
 
 22 
 23 
 
 17995 
 18023 
 
 98368 
 98362 
 
 19709 
 19737 
 
 98039 
 98033 
 
 21417 
 21445 
 
 97680 
 97673 
 
 23118 9729 IJI24813 
 23146 972841124841 
 
 96873 
 96866 
 
 38 
 37 
 
 24 
 
 18052 
 
 9S357 
 
 19766 
 
 98027 
 
 21474 
 
 97667 
 
 ,23175 
 
 97278 24869 
 
 96858 
 
 36 
 
 25 
 
 18081 
 
 98352 
 
 19794 
 
 98021 
 
 21502 
 
 97661 
 
 23203 
 
 97271 24897 
 
 96851 
 
 35 
 
 26 
 
 18109 
 
 98347 
 
 19823 
 
 98016 
 
 21530' 
 
 97(555 
 
 2323 1 
 
 97264 24925 
 
 96844 
 
 34 
 
 27 
 
 18138 
 
 98341 
 
 19851 
 
 98010 
 
 21559 
 
 97.648 
 
 23260 
 
 97967 84953 
 
 96837 
 
 33 
 
 28 
 
 18166 
 
 98336 
 
 19880 
 
 98004 
 
 21587 
 
 97642 
 
 23288 
 
 97251 24982 
 
 96829 
 
 32 
 
 29 
 30 
 
 18195 
 18224 
 
 98331 
 98325 
 
 19908 
 19937 
 
 97998 
 9799-2 
 
 21616 
 
 21644 
 
 97636 
 97630 
 
 23316 97244JJ25010 
 23315 97237 J25038 
 
 96822 
 96815 
 
 31 
 30 
 
 31 
 
 18252 
 
 98320 
 
 19965 
 
 97987 
 
 2i672 
 
 97623 
 
 23373 97230 '25066196807 
 
 29 
 
 32 
 
 18281 
 
 98315 
 
 19994 
 
 97981 
 
 21701 
 
 97617 
 
 2340 lj 97223 
 
 25094 96800 
 
 28 
 
 33 
 
 18309 
 
 98310 
 
 20022 
 
 97975 
 
 21729 
 
 976 1 1 
 
 23429 97217 
 
 25122 
 
 96793 
 
 27 
 
 34 
 
 18338 
 
 98304 
 
 20051 
 
 97969 
 
 21758 
 
 97604 
 
 '2345897210 
 
 25151 
 
 96786 
 
 26 
 
 35 
 
 18367 
 
 98299 
 
 20079 
 
 97963 
 
 21786 
 
 97598 
 
 23486197203 
 
 25179 
 
 96778 
 
 25 
 
 3ti 
 
 18395 
 
 98294 II 20 108 
 
 97958 
 
 21814 
 
 97592 
 
 12351497196 
 
 25207 
 
 96771 
 
 24 
 
 3? 
 
 38 
 39 
 40 
 41 
 
 18424 
 18452 
 18481 
 18509 
 
 18538 
 
 98288 ,20136 
 98283:20165 
 98277 20193 
 
 98272 20222 
 98267! 20250 
 
 J7952 
 97946 
 97940 
 97934 
 97928 
 
 21843 
 2187] 
 21899 
 21928 
 21956 
 
 97585 123542(97189 
 
 97579 23571 97182 
 97573 12359997176 
 97506 23627 97169 
 97560 123656 971C2 
 
 25235 
 25263 
 25291 
 25320 
 25348 
 
 96764 
 96756 
 96749 
 96742 
 96734 
 
 23 
 
 22 
 21 
 20 
 19 
 
 42 
 43 
 
 18567 
 18595 
 
 98261 
 98256 
 
 20279 
 120307 
 
 97922121985 
 97916 22013 
 
 97553 123684 97155 
 97547 P23712 97148 
 
 25376 
 25404 
 
 96727 
 96719 
 
 18 
 17 
 
 44 
 
 18624 
 
 98250 i20336 
 
 97910 22041 97541 
 
 1237409714} 
 
 25432 
 
 96712 
 
 16 
 
 45 
 
 18652 
 
 98245 20-364 
 
 97905 
 
 22070 
 
 97534 
 
 123769197134 
 
 25460 
 
 96705 
 
 15 
 
 46 
 
 18681 
 
 98240 ; 20393 
 
 97899 22098 
 
 97528 j 23797 1 97 127 
 
 25488 
 
 96697 
 
 14 
 
 47 
 
 18710 
 
 98234 
 
 20421 
 
 97893 
 
 22126 
 
 97521 
 
 23825197120 
 
 25516 
 
 96690 
 
 13 
 
 48 
 49 
 
 18738 
 18767 
 
 98229 20450 
 98223 j 20478 
 
 97887 
 97881 
 
 22155 
 
 22183 
 
 97515j23853|97113 
 
 97508|:23882i97l06 
 
 25545 96682 
 25573J96675 
 
 12 
 11 
 
 50 
 51 
 52 
 
 18795 
 18824 
 18852 
 
 98218 20507 
 98212b0535 
 98207 120563 
 
 97875)22212 
 97869 122240 
 97863 22268 
 
 97502 H23910 
 974961:23938 
 97489 123966 
 
 97100 
 97093 
 97086 
 
 25601(96667 
 2562996660 
 2565796653 
 
 10 
 9 
 
 8 
 
 53 
 
 18881 
 
 98201 
 
 120592 
 
 97857 J22297 
 
 97483 |23995 97079 
 
 2568596645 
 
 7 
 
 54 
 
 18910 
 
 98196 
 
 20620 
 
 97851 ;22325 
 
 97476 
 
 124023 97072 
 
 25713196638 
 
 6 
 
 55 
 
 18938 
 
 98190 
 
 (20649 
 
 97845P22353 97470 
 
 24051 
 
 97085 
 
 25741 96630 
 
 5 
 
 56 
 
 18967 
 
 98185 
 
 120677 
 
 97839 22382197463 
 
 24079 97058 
 
 25769 96623 
 
 4 
 
 57 
 
 18995 
 
 98179 
 
 ! 20706 
 
 97833 :j224 r l 01 97457 
 
 1241 08 197051 
 
 25798:96615 
 
 3 
 
 58 
 
 19024 
 
 98174 
 
 120734 
 
 97S27 : 22438 
 
 97450 
 
 ; 24136 
 
 97044 
 
 25826,96608 
 
 2 
 
 59 
 
 19052 
 
 98168120763 
 
 97821 224*57 97444 
 
 24164 
 
 97037 
 
 25354 96600 
 
 1 
 
 M 
 
 N. CS. N. S. 1 N. CS. 
 
 N.S. N. <;.s. N.S. 
 
 j N. cs: 
 
 N.S. 
 
 N. CS. N. S. 
 
 M 
 
 
 79 De. 7 Dear. . 77 H.V.- 
 
 76 l;cg 
 
 75 \)vif. 
 
 
A TABLE OP NATURAL SINES. 
 
 15 De/. ! 16 l>tr. 
 
 1? JJeg. 
 
 18 Ueg. 
 
 19 Ueg. 
 
 M 
 
 M N,. N. ori. 1 
 
 N. S. N, CS. 
 
 N. S, 
 
 N, CS. 
 
 NTS 
 
 N.CS. 
 
 N.8. 
 
 N CS 
 
 35882196593 
 
 27564 96126 
 
 29237 
 
 95630 
 
 30902 
 
 95106 
 
 32557 
 
 94552 
 
 60 
 
 1 25910J985S5! 27592 96118 
 
 29265 
 
 95622 
 
 30929 
 
 95097 
 
 32584 
 
 94542 
 
 59 
 
 2 25933 
 
 96578 127620 96 110 
 
 29293 
 
 95613 
 
 30957 
 
 95088 
 
 32612 
 
 94533 
 
 58 
 
 325968 
 
 96570 1127648 96102 
 
 29321 95605 
 
 30985 
 
 95079 !| 32639 
 
 94523 
 
 57 
 
 4 25994 
 
 96*S2 j 276 7696094 
 
 29348195596 
 
 31012 
 
 95070, 32867 
 
 94514 
 
 56 
 
 5126022 
 6J26050 
 
 96555! 27704 
 
 96547127731 
 
 98086 
 96078 
 
 29376 '95588 
 29404 95579 
 
 31040 
 31068 
 
 9506l! 
 95052 
 
 32894 
 32722 
 
 94504 
 94495 
 
 55 
 
 54 
 
 7 i 28feJ?9 
 
 98540 {27759 
 
 98070 
 
 29432 95571 
 
 31095 
 
 95043 
 
 32749 
 
 94485 
 
 53 
 
 8J26107 
 
 96532 
 
 27787 
 
 96062 
 
 29460 
 
 95562 
 
 31123 
 
 95033i 32777 
 
 94476 
 
 52 
 
 926135 
 
 96524 
 
 27815' 
 
 96054 
 
 29487 
 
 95554 
 
 31151 
 
 95024 
 
 32304 
 
 94466 
 
 51 
 
 10 26163 
 
 988171 
 
 -27843 
 
 96046 
 
 29515 
 
 95545 
 
 31178 
 
 95015 
 
 32832 
 
 94457 
 
 50 
 
 Ilj28i91 
 
 96509' 
 
 27871 
 
 96037 
 
 29543,95536 
 
 31206 
 
 95006 
 
 32859 
 
 94447 
 
 49 
 
 1226219 
 
 96502 
 
 27899. 
 
 96029 
 
 29571195528 
 
 31233 94997 
 
 32887 
 
 94438 
 
 48 
 
 13 26247 
 
 96494 
 
 27927; 
 
 96021 
 
 29599:95519 
 
 31261194988 
 
 32914 
 
 94428 
 
 47 
 
 14:26275 
 
 96486 
 
 27955 
 
 98013 
 
 29628:95511 
 
 31289 94979 
 
 32942' 
 
 94418 
 
 46 
 
 1526303 
 
 96479 
 
 27983 
 
 98005 
 
 29654 
 
 95502 
 
 31316 
 
 94970 
 
 32969 
 
 94409 
 
 45 
 
 16 26331 
 
 964 7 J 
 
 280 1 1 
 
 95997 
 
 29682 
 
 95493 
 
 31344 
 
 94961 
 
 32997 
 
 94399 
 
 44 
 
 1726359 
 
 96483' 
 
 28039 
 
 959S9JJ29710 
 
 95485 
 
 31372 
 
 94952 
 
 33024 
 
 94390 
 
 43 
 
 18 26387 
 
 9'"* 456 
 
 280.67 
 
 95981 29737 
 
 95476 
 
 31399 
 
 94943 
 
 33051 
 
 94380 
 
 42 
 
 19 23415 
 
 9844? 
 
 28095! 
 
 95972 
 
 29765 
 
 95467 
 
 31427 
 
 94933 
 
 33079 
 
 94370 
 
 41 
 
 20126443 
 
 964-10 J28 123 
 
 95964 
 
 29793 
 
 95459 
 
 31454 
 
 94924 
 
 3310H 
 
 94361 
 
 40 
 
 21 12647 1,'964o3]j28 150 
 
 95956 
 
 29821 
 
 95450 
 
 H482 
 
 94915 
 
 33134 
 
 94351 
 
 39 
 
 22 28:"iOi) 9642op28178 
 
 95948 
 
 29849 
 
 95441 
 
 31510 
 
 94906 
 
 33161 
 
 94342 
 
 38 
 
 23 28528 984l7jj28206 
 
 95940 
 
 29S76 
 
 95433 
 
 31537 
 
 94897 
 
 33189 
 
 94332 
 
 37 
 
 24 26556! 9H4 10 
 
 28234 
 
 .4593 I 
 
 29904 
 
 95424 
 
 31565 
 
 94888 
 
 33216 
 
 94322 
 
 36 
 
 25 26584 
 
 96402 
 
 28262 
 
 .55923 
 
 29932 
 
 95415 
 
 31593 
 
 94878 
 
 33244 
 
 94313 
 
 35 
 
 26 26^12 
 
 9*' 3 91 
 
 28290 
 
 35915 
 
 29360 
 
 95107 
 
 31620 
 
 94869 
 
 33271 
 
 94303 
 
 34 
 
 27 26840 
 
 96386 
 
 28318 
 
 95907 
 
 29987 
 
 95398 
 
 31648 
 
 94860 
 
 33298 
 
 94293 
 
 33 
 
 281268H8 
 
 96379 
 
 28346 
 
 95898 
 
 30015 
 
 95389 
 
 31675 
 
 94851 
 
 33326 
 
 94284 
 
 32 
 
 2926896 96371 
 
 28374 
 
 95890 
 
 30043 
 
 95380 
 
 31703 
 
 94842 
 
 33353 
 
 94274 
 
 31 
 
 30 26724J96383 
 
 28402 
 
 J5882 
 
 30071 
 
 95372 
 
 31730 
 
 94832 
 
 33381 
 
 94264 
 
 30 
 
 31 26752 
 
 96355 
 
 23429 
 
 95874 
 
 30098 
 
 95383 
 
 31758 
 
 94823 
 
 33408 
 
 94254 
 
 29 
 
 32:26780 
 
 96347 
 
 28457 
 
 95865JJ30126 
 
 95354 
 
 31786 
 
 94814 
 
 33436 
 
 94245 
 
 28 
 
 33 26808 
 
 96340 
 
 28485 
 
 95857 30 154 
 
 95345 
 
 31813 
 
 94805 
 
 33463 
 
 94235 
 
 27 
 
 34 26836 
 
 96332ji28513 
 
 95849 1130182 
 
 9533,7 
 
 31841 
 
 94795 
 
 33490 
 
 94225 
 
 26 
 
 35! 26864 
 
 96324 28541 
 
 95841 30209 
 
 9532* 
 
 31868 
 
 94786 
 
 33518 
 
 94215 
 
 25 
 
 36'26S92 
 
 96316 
 
 28569 
 
 95832 
 
 30237 
 
 95319 
 
 31896 
 
 94777 
 
 33545 
 
 94206 
 
 24 
 
 37 126920 
 
 96308 
 
 28597 
 
 95824 
 
 30265 
 
 95310 
 
 31923 
 
 94768 
 
 33573 
 
 94196 
 
 23 
 
 88126948 
 
 96301 
 
 28625 
 
 95816 
 
 30292 
 
 35301 
 
 31951 
 
 94758 
 
 33600 
 
 94186 
 
 22 
 
 39(26976 
 
 96293 
 
 28652 
 
 95807 
 
 30320 
 
 95293 
 
 31979 
 
 94749 
 
 33627 
 
 94176 
 
 21 
 
 40 j 27004 
 
 96285 
 
 28680 
 
 95799 
 
 30348 
 
 95284 
 
 32006 
 
 94740 
 
 33655 
 
 94167 
 
 20 
 
 41 27032 
 
 96277 
 
 28708 
 
 95791 
 
 30376 
 
 95275 
 
 32034 
 
 94730 
 
 33682 
 
 94157 
 
 19 
 
 42 27060 
 
 96269 
 
 28736 
 
 95782 
 
 30403 
 
 95266 
 
 32061 
 
 94721 
 
 33710 
 
 94147 
 
 18 
 
 43 27088 
 
 96261 
 
 28764 
 
 95774 
 
 30431 
 
 95257 
 
 32089 
 
 94712 
 
 33737 
 
 94137 
 
 17 
 
 4427H6 
 
 96253 
 
 28792 
 
 95766 
 
 30459 
 
 95248 
 
 32116 
 
 94702 
 
 33764 
 
 94127 
 
 16 
 
 4527144 
 
 96246 
 
 28820 
 
 95757 
 
 30486 
 
 95240 
 
 32144 
 
 94693 
 
 33792 
 
 94118 
 
 15 
 
 4627172 
 
 96238 
 
 28847 
 
 95749 
 
 30514 
 
 95231 
 
 32171 
 
 94684 
 
 33819 
 
 94108 
 
 14 
 
 47 27200 
 
 96230 
 
 28875 
 
 95740 
 
 30542 
 
 95222 
 
 32199 
 
 94674 
 
 33846 
 
 94098 
 
 13 
 
 48 27228 
 
 98222 
 
 28903 
 
 95732 
 
 30570 
 
 95213 
 
 32227 
 
 94665 
 
 33874 
 
 94088 
 
 12 
 
 49 i 27256 
 
 50,27284 
 
 962 ! \ 
 96206 
 
 28959 
 
 95724 
 95715 
 
 30597 
 130625 
 
 95204 
 95195 
 
 32254 
 
 32282 
 
 9465*5 
 94646 
 
 33901 94078 
 33929 '94068 
 
 11 
 10 
 
 51*27312 
 
 96198 
 
 28987 95707i|30653 
 
 95186 32309 
 
 94637 
 
 33956! 94058 
 
 9 
 
 5227340 
 
 96190 
 
 29015 95698! 30680 
 
 95177 32337 94627 
 
 33983 94049 
 
 8 
 
 53:27368 
 
 96182 
 
 29042 95690J1 30708 
 
 95168 
 
 3236494618 
 
 34011 94039 
 
 7 
 
 54,2739ft 
 
 90171 
 
 29070 95081 
 
 30736 
 
 95159 
 
 32392 '94609 
 
 34038 94029 
 
 6 
 
 55 '274-24 
 
 96 160 
 
 J29098 95673 
 
 J30763 
 
 9515()j|324l9l94599 
 
 34065 94019 
 
 5 
 
 5627452 
 
 96158 
 
 29126195664 
 
 '30791 
 
 95142 32447 
 
 94590 
 
 34093 94009 
 
 4 
 
 57; 27480! 96 1 50 
 
 129 154*95656 
 
 130819 
 
 95133 32474 
 
 94580 
 
 34120 93999 
 
 3 
 
 58'27ri)8 !)^14~ 
 
 j29I.*2 95647 ;30846. 95 124i!32502 
 
 94571 
 
 14147 93989 
 
 2 
 
 59 <;7,S36 <)fi;3-! 
 
 202'} |95639 ; !30874 
 
 i95ll5 ! !32529 
 
 94561 
 
 Hi 75 fi-3979 
 
 1 
 
 jN._-8 ' N.S. 
 
 r\. cs. N s. jj N. cs. 
 
 N. S. i N. CS. N. S. 
 
 \. CS. N. S. 
 
 JM 
 
 74 Dear. 
 
 73 Dejr. |! 11 Dejr. fl 71 Deg. 
 
 ~76~UeV~~ 
 
 
 14 
 
A TABLE OF NATURAL SINES. 
 
 
 20 Deg. 
 
 ; 21 Deg. 
 
 22 Deg. 
 
 23 Deg. | 24 Deg. 
 
 
 M 
 
 N.S. 
 
 N.CS. 
 
 ! N.S. 
 
 N.CS. 
 
 N.S. 
 
 N.CS. 
 
 N.S. 
 
 N.CS. N.S. 
 
 N. CS. 
 
 M 
 
 
 
 34202 
 
 93969J 35837 
 
 93358 
 
 37461 
 
 92718 
 
 39073 
 
 92050 J40674 
 
 91355 
 
 60 
 
 1 
 
 34229 
 
 93959 '35864 
 
 93348 
 
 37488 
 
 92707 
 
 39100 
 
 92039 40700 
 
 91343 
 
 59 
 
 
 34257 
 
 93949 
 
 35891 
 
 J3337 
 
 37515 
 
 92897 
 
 39127 
 
 92028140727 91331 
 
 58 
 
 3 
 
 34284 
 
 93939 
 
 35918 
 
 93327 
 
 37542 
 
 92686 
 
 39153 
 
 92016 40753 91319 
 
 57 
 
 4 
 
 34311 
 
 93929 
 
 35945 
 
 9331H 
 
 37569 
 
 92675 
 
 39180 
 
 92005 40780 
 
 91307 
 
 56 
 
 5 
 
 34339 
 
 93919 
 
 35973 
 
 9330C ;*7595 
 
 92664 
 
 39207 
 
 91994 40806! 
 
 91295 
 
 55 
 
 6 
 
 34366 
 
 93909 
 
 36000 
 
 93295 
 
 37622 
 
 92653 
 
 39234 
 
 91982 40833 
 
 91283 
 
 54 
 
 7 
 
 34393 
 
 93899 
 
 36027 
 
 93285 
 
 37649 
 
 92642 
 
 39260 
 
 919711 
 
 4086091272 
 
 f>3 
 
 8 
 
 34421 
 
 93889 
 
 36054 
 
 93274 
 
 37676 
 
 92631 
 
 39287 
 
 91959 40886|91260 
 
 52 
 
 9 
 
 34448 
 
 93879 
 
 36081 
 
 93264 
 
 37703 
 
 92620 
 
 39314 
 
 91948140913 
 
 91248 
 
 51 
 
 10 
 
 34475 
 
 93869 
 
 36108 
 
 93253 
 
 37730 
 
 92609 
 
 39341 
 
 91936140939 
 
 91236 
 
 50 
 
 11 
 
 34503 
 
 93859 
 
 36135 
 
 93243 
 
 37757 
 
 92598 
 
 39367 
 
 91925J40966 
 
 91224 
 
 49 
 
 12 
 
 34530 
 
 93849 
 
 36162 
 
 93232 
 
 37784 
 
 92587 
 
 39394 
 
 91914 40992 91212 
 
 48 
 
 13 
 
 34557 
 
 93839 
 
 36190 
 
 93222 
 
 37811 
 
 92576 
 
 39421 
 
 91902 41019 
 
 91200 47 
 
 14 
 
 34584 
 
 93829 
 
 36217 
 
 93211 
 
 37838 
 
 92565 
 
 39448 
 
 91891! 41045191188 46 
 
 15 
 
 34612 
 
 93819 
 
 36244 
 
 93201 
 
 37865 
 
 92554 
 
 39474 
 
 91879(41072 
 
 91176 
 
 45 
 
 16 
 
 34639 
 
 93809 36271 
 
 93190 
 
 37892 92543 
 
 39501 
 
 91 868, 4~1 098 
 
 91164 
 
 44 
 
 17 
 
 34666 
 
 93799 36298 
 
 93180 
 
 37919 
 
 92532 
 
 39528 
 
 91856,41125 91152J43 
 
 18 
 
 34694 
 
 93789 
 
 36325 
 
 93169 
 
 37946 
 
 92521 
 
 39555 
 
 91845| 41151 
 
 91140142 
 
 19 
 
 34721193779 
 
 36352 
 
 93159 
 
 37973 
 
 92510 
 
 39581 
 
 91833 
 
 41178 
 
 91128141 
 
 20 
 
 34748 937 6C 
 
 36379 
 
 93148 
 
 37999 
 
 92499 
 
 39608 
 
 9 1822 '4 1204 
 
 91116 
 
 40 
 
 21 34775 
 
 93759 
 
 36406 
 
 93137 
 
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 56928182214 
 
 18 
 
 43 
 
 51079 
 
 85970' 52572 
 
 85066 
 
 54049 
 
 84135 
 
 5550983179 
 
 56952 82198 
 
 17 
 
 44 
 
 51104 
 
 85956 
 
 52597 
 
 85051 
 
 54073 
 
 84120 
 
 55533 
 
 83163 
 
 56976182181 
 
 16 
 
 45 
 
 51129 
 
 85941 
 
 52621 
 
 85035154-097 
 
 84104 
 
 55557 
 
 83147 
 
 5700082165 
 
 15 
 
 46 
 
 51154 
 
 85926 
 
 52646 
 
 85020154122 
 
 84088 
 
 55581 
 
 83 131 
 
 57024 82 148 
 
 14 
 
 47 
 
 51179 
 
 85911 
 
 52671 
 
 85005 
 
 54 1 40 
 
 84072 
 
 55605 
 
 83115 
 
 57047 ; 82 132 
 
 13 
 
 48 
 
 51204 
 
 85896 
 
 52696 
 
 84989 
 
 54171 
 
 84057 
 
 55630 
 
 83098 
 
 57071! 82 1 15 
 
 12 
 
 49 
 
 51 229 85881 '52720 
 
 84974 
 
 54195 
 
 84041 
 
 55654 
 
 83082 
 
 57095 82098 
 
 11 
 
 50 
 
 5 1254*5866 152745 
 
 84959 54220 
 
 84025 
 
 55678 
 
 83066 
 
 57119'820>!2 
 
 10 
 
 51 
 
 51279 85851 152770 
 
 84943154244 
 
 84009 
 
 55702 
 
 83050 
 
 57143 820?>n 
 
 9 
 
 52 
 53 
 
 5130485836152794 
 51329 85821 ! 528 19 
 
 84928 54269 
 84913 54293 
 
 83994 
 83978 
 
 55726 
 55750 
 
 83034 
 83017 
 
 571G7 8204K 
 57191 J88032 
 
 8 
 7 
 
 54 
 
 5135485806 
 
 52844 
 
 84897 
 
 54317 
 
 83962 
 
 55775 
 
 83001 
 
 r>7215 ! 82<>15 
 
 6 
 
 55 
 
 5137985792 
 
 52869 
 
 84882 
 
 54342 
 
 83946 
 
 55799 
 
 82985 
 
 57238,81999 
 
 5 
 
 56 
 
 51404185777 
 
 52893 
 
 84866;54366 
 
 83930 
 
 55823 
 
 82969 
 
 57262 '8 1982 
 
 4 
 
 57 
 
 58 
 
 51429 
 51454 
 
 85762 
 85747 
 
 52918 
 52943 
 
 84851i ; 54391 
 84836 544 15 
 
 8391 5 55847182953 1 57286 J8 1 965 
 83899 [56871 82936 j| 5731018 1949 
 
 3 
 2 
 
 59 
 
 51479 
 
 85732 
 
 52967 
 
 84820 : 54440 
 
 83883 55895 
 
 82920157334 81932 
 
 J 
 
 M 
 
 N. CS. | N. S. II N. OS. 
 
 N. S. ; N. 0<S. 
 
 N. S. ! N. CS. 
 
 N.S. llN.CS. N.S. 
 
 M 
 
 
 59 Deg. | 58 Deg. ll 57 Pey. |j 56 Deg. || 55 Deg. 
 
 
A TABLE OF NATURAL SINES. 
 
 99 
 
 
 35 Deg. || 36 Deg. 
 
 37 L>eg. 
 
 3 Ueg. 
 
 39 L>eg. 
 
 
 M 
 
 N.S. 
 
 N.CS. |j N.S. 
 
 N. CS. 
 
 N.sr 
 
 N.CS. 
 
 N.S. 
 
 N. CS. 
 
 N.S. 
 
 N.CS. 
 
 M 
 
 
 
 57358 
 
 81915158779 80902 
 
 60182 
 
 79864 
 
 61566 78801 
 
 62932 
 
 77715 
 
 60 
 
 1 
 2 
 
 57381 
 57405 
 
 81 899 j 58802 
 81882' 58826 
 
 80885 
 80867 
 
 60205 
 
 6022S 
 
 79840 
 79829 
 
 61589 
 61612 
 
 7S783 
 78765 
 
 62955 
 62977 
 
 77696 
 77678 
 
 59 
 
 58 
 
 3 
 
 57429 
 
 81865 
 
 58849 
 
 80850 
 
 60251 
 
 7t'811 
 
 61635 
 
 78747 63000 
 
 77660 
 
 57 
 
 4 57453 
 
 5|57t77 
 
 81848 
 81832 
 
 58873 
 58896 
 
 80833 
 80816 
 
 60274 79793 
 60298 79776 
 
 91658 
 61681 
 
 78729163022 
 78711 63045 
 
 77641 
 77623 
 
 56 
 55 
 
 6 
 
 57501 
 
 81815 
 
 58920 
 
 80799 
 
 60321 
 
 79758 
 
 61704 
 
 78694 
 
 63068 
 
 77605 
 
 54 
 
 7 
 
 57524 
 
 8 1 798 |58943 
 
 80782 
 
 60344 
 
 79741 
 
 61726 
 
 78676 
 
 63090 
 
 77586 
 
 53 
 
 8 57548 
 
 81782 J58967 
 
 80765 
 
 60367 
 
 79723 
 
 61749 
 
 78658 
 
 63113 
 
 77568 
 
 52 
 
 9)57572 
 
 81765 
 
 158990 
 
 80748 
 
 60390 
 
 79700 
 
 61772 
 
 78640 
 
 63135 
 
 77550 
 
 51 
 
 10 
 
 57596 
 
 81748 
 
 59014 
 
 80730 
 
 60414 
 
 79688 
 
 61795 
 
 78622 
 
 63158 
 
 77531 
 
 50 
 
 11 
 
 57619 
 
 81731 
 
 59037 
 
 80713 
 
 60137 
 
 79671 
 
 61818 
 
 78604 
 
 63180 
 
 77513 
 
 49 
 
 12 
 
 57643 
 
 81714 
 
 5906 I 
 
 80G96 
 
 60460 
 
 79053 
 
 01811 
 
 78586 
 
 63203 
 
 77494 
 
 48 
 
 13 
 
 57667 81698 
 
 59034 
 
 80879 
 
 69483 
 
 79035 
 
 61864 
 
 78568 
 
 63225 
 
 77470 
 
 47 
 
 14 
 
 57691 
 
 81681 
 
 59108 
 
 80662 
 
 60506 
 
 79018 
 
 61887 
 
 78550 
 
 63248 
 
 77458 
 
 46 
 
 15 
 
 57715 
 
 81664 
 
 59131 
 
 80644 
 
 60529 79600 
 
 61909 
 
 78532 
 
 63271 
 
 77439 
 
 45 
 
 16 
 
 57738 
 
 81647 
 
 59154 
 
 80627 
 
 60553 795S3 
 
 61932 
 
 .78514 
 
 63293 
 
 77421 
 
 44 
 
 1 7! 57702 
 
 81631 
 
 59178 
 
 S0610 60 57 0| 79565 
 
 61955 
 
 78493 
 
 63316 
 
 77402 
 
 43 
 
 i s '07736 SIGH 
 
 59201 
 
 80593 
 
 60599] 79547 
 
 61978 
 
 78478 
 
 63338 
 
 77384 
 
 42 
 
 19157310 81597 
 
 59225 
 
 S0576 
 
 60622)79530 
 
 62001 
 
 78460 
 
 63361 
 
 77366 
 
 41 
 
 20 1 57833 8 1580 
 
 5 9248 
 
 80558! 
 
 60645 79512 
 
 62024 
 
 78442 
 
 63383 
 
 77347 
 
 40 
 
 21|57857,'81563 
 22 57881 181546 
 23 57901 81530 
 
 59272 
 59295 
 59318 
 
 80541 
 80524 
 3 9 507 i 
 
 0;>(>63{ 79494 
 60691 79477 
 6071479459 
 
 62046 
 62069 
 62092 
 
 78424 
 78405 
 
 78387 
 
 63406 
 
 63428 
 63451 
 
 77329 
 77310 
 77292 
 
 39 
 38 
 ?7 
 
 24 
 
 5792881513 
 
 59342 
 
 S0489! 
 
 60738 
 
 79441 
 
 62115 
 
 78369 
 
 63473 
 
 77273 
 
 36 
 
 2,"> 
 
 5795281496 
 
 59365 
 
 S0472 
 
 60761 
 
 79424 
 
 02138 
 
 78351 
 
 63496 
 
 77255 
 
 35 
 
 26 
 
 57976 81479 
 
 59389 
 
 80455 
 
 60784 
 
 79406 
 
 62160 
 
 78333 
 
 63518 
 
 77236 
 
 34 
 
 27 
 
 57999 
 
 814-62 
 
 59412 
 
 80438,60807 
 
 793SS 
 
 52183 
 
 78315 
 
 63540 
 
 77218 
 
 33 
 
 28 
 
 5802381445 
 
 59436 
 
 80420 
 
 60830 
 
 79371 
 
 02206! 7S297 63563 
 
 77199 
 
 32 
 
 29 58047 8 1428JI 59459 
 
 80403 
 
 60853 
 
 79353 
 
 62229 
 
 78279! 63585 
 
 77181 
 
 31 
 
 30 58070 
 
 81412 
 
 59482 
 
 SO 386': 
 
 '30870 79235 
 
 32251 
 
 78261 63608 
 
 77162 
 
 30 
 
 31158094 
 
 81395 
 
 59505 
 
 803681 
 
 6089979318 
 
 02274 
 
 78243 
 
 03630 
 
 77144 
 
 29 
 
 32'53113 81378 
 
 59529 
 
 $03511100922 79300! 02297 
 
 78225 
 
 53653 
 
 77125 
 
 28 
 
 3358141 813fil 
 
 69552 
 
 80334p60945l792c2||62320 
 
 78206 
 
 J3676 
 
 77107 
 
 27 
 
 34 
 
 58165 81344 
 
 59576 
 
 8031 6 |60968 
 
 .79264162342 
 
 78188 
 
 013698 
 
 77088 
 
 26 
 
 35 
 
 58 1 89 LSI 327 
 
 59599 
 
 80299 16099 1 
 
 79217102305 
 
 78170 
 
 33720 
 
 77070 
 
 25 
 
 36 5S21 2 181310 
 
 59622 80282 !|6 1015 
 
 79229 j 62388 
 
 78152 
 
 03742 
 
 77051 
 
 24 
 
 3? 58238 81203 
 
 59646 
 
 80264-1:61038 
 
 7921 I j 624 11 
 
 73134 
 
 03765 
 
 77033 
 
 23 
 
 38:58200 81276 
 
 59669 
 
 80247 61 OG1 
 
 791931 
 
 62433 
 
 781 16 
 
 63787 
 
 77014 
 
 22 
 
 39:58283 S1259 
 
 59893 S0230 61084 
 
 79176! 
 
 62456 
 
 78098 
 
 63810 
 
 76996 
 
 21 
 
 40 58307) SI 242 
 
 59716 
 
 80212! 61 107 
 
 79158; 
 
 62479 
 
 78079 
 
 83332 
 
 76977 
 
 20 
 
 41;f>S330j.81225 
 
 59739 
 
 80195; 61 139 
 
 79140! 
 
 62502 
 
 78061 
 
 03S54 
 
 76959 
 
 19 
 
 !2'583.j4|3J208 59763 
 43:5837881191 i59786 
 
 80l78i!6ll53j79122' 
 801601 6 11 761 79 1051 
 
 62524 
 62547 
 
 78043 
 78025 
 
 63877 
 03899 
 
 76940 
 76921 
 
 18 
 
 17 
 
 41 58401 81174 
 
 .59809 
 
 80143 61193 79087 
 
 62670 
 
 78007 
 
 J3922 
 
 76903 
 
 16 
 
 45 58425 
 
 81157159832 
 
 SO 125| 6 12*22 
 
 79069 
 
 62592 
 
 77988 
 
 63944 
 
 76884 
 
 15 
 
 40,58449 81 I40J'5'J58i80l08i 01245 
 
 7905 1 
 
 62615 
 
 77970 
 
 63966 
 
 76866 
 
 14 
 
 47158472 81 1 ^3j l 59:.i7 ! J : ^009 1 j!6 1208 
 
 79033 
 
 62638 
 
 77952 
 
 63989 
 
 76847 
 
 13 
 
 48J58496 81106 50002 80073! 
 49 58519 81039: 59020 89056i 
 
 61291 
 61314 
 
 79015 
 78998 
 
 62660 
 62683 
 
 77934 
 77916 
 
 64011 
 64033 
 
 76828 
 76810 
 
 12 
 11 
 
 50 5S543 81072 59943 80038 61337 
 
 78980 
 
 62706 
 
 77897 
 
 T4056 78791 
 
 10 
 
 51 '53567 8l055j!59972 8002 ,61360 
 52 53590;3103Sh5y995 SOOQ3;J61383 
 53 : 58614jSl02l i>0i9 79986, ; 61406 
 
 78962 
 78944 
 78 926 ! 
 
 62728 77879! H107S 73772 
 62751 '.7780 1 > -i 100 70754 
 62774 77843 ,Ul:i3 76735 
 
 9 
 
 8 
 7 
 
 5 1 586371 8 1 004 
 55 58661 80987 
 
 160042:79968 61429 
 50065 7995 1 161451 
 
 78908 
 78891 
 
 62796 ; 77824 
 62819177806 
 
 0414576717 
 |64107 70098 
 
 6 
 5 
 
 56i58684l80970 50089 '79934 j 6 1474 78873 
 
 62842 77788 
 
 64190 76679 4 
 
 57:58708 
 
 80953 
 
 SD118 79916 6149T78856 
 
 82864 77769 '.642 12 7606l! 3 
 
 58 5873 1 
 
 80936 
 
 60135 79899 61520 
 
 78837 
 
 62S87 77751 
 
 I64234l76642| 2 
 
 5958755 
 
 80919 
 
 SO 158 7988 i: 01543 
 
 78819 
 
 02909 77733 
 
 61256 76623 
 
 1 
 
 A! 
 
 \. * t>. N. S. 
 
 N. CS. i N. S. ! N. CS. 
 
 N. S. 
 
 N. CS. 
 
 N.S. 
 
 N. CS. 
 
 N.S. 
 
 M 
 
 j 54 Dei?, ii 53 Deg. \\ 52 De?. 
 
 51 D.-LT. 
 
 1 50 Deg, 
 
 
fOO 
 
 A TABLE OF NATURAE 
 
 M 
 
 40 J 
 
 N.S. 
 
 ~ff-cs. 
 
 41 Deg. 1] 42 Ueg. 
 
 43 Deg. 
 
 44 Deg. 
 
 M 
 
 N.S. 
 
 :N.CB, N..S. 
 
 N.CS. 
 
 N.S. 
 
 N.CS.. 
 
 N.S. 
 
 N. CS. 
 
 
 
 64279 
 
 76604 
 
 65606 
 
 7547 11669 13 
 
 74314 
 
 68200 
 
 73135 
 
 69466 
 
 71934 
 
 00 
 
 1 
 2 
 3 
 
 64301 
 64323 
 64346 
 
 76586 
 76567 
 76548 
 
 65628 
 65650 
 65672 
 
 75452 
 75433 
 75414 
 
 66935 
 66956 
 66978 
 
 74295 
 74276 
 74256 
 
 68221 
 68242 
 68264 
 
 73116 
 73096 
 73076 
 
 69487 71914 
 69508 71894 
 6952917187=3 
 
 59 
 
 58 
 57 
 
 4 
 
 64368 
 
 76530 
 
 65894 
 
 75395 
 
 66999 
 
 74237 
 
 68285 
 
 73056 
 
 69549 
 
 71853 
 
 50 
 
 5 
 
 64390 
 
 7651 1 
 
 65716 
 
 75375 
 
 67021 
 
 74217 
 
 68306 
 
 73036 
 
 89570 
 
 7183^ 
 
 55 
 
 6 
 
 64412 
 
 76492 
 
 65738 
 
 75356 67043 
 
 74198 : 68327 
 
 73016 
 
 69591 
 
 71813 
 
 54 
 
 ! 7 
 
 64435 
 
 76473 
 
 65759 
 
 75337 67064 
 
 74178 
 
 68349 
 
 72996 
 
 69612171792 
 
 
 , 8 
 
 64457 
 
 76455 
 
 65781 
 
 75318167086 
 
 74159 
 
 68370 
 
 72976 
 
 09633171772 
 
 52 
 
 9 
 
 64479 
 
 76436 
 
 65803 
 
 75299 
 
 67107 
 
 74139! 6839 1 
 
 72957 
 
 69654 
 
 71752 
 
 5i 
 
 10 
 
 64501 76417 
 
 65825 
 
 75280 
 
 87129 
 
 74120 68412 
 
 72937 
 
 89075 
 
 71732 
 
 f)0 
 
 I 
 
 64524 
 
 76398 
 
 65847 75261 
 
 67151 
 
 74100 08433 
 
 72917 
 
 69096 
 
 71711 
 
 4') 
 
 12 
 
 64546 
 
 76380 
 
 65869 75241 
 
 87172 
 
 74080 168455 
 
 72897 
 
 69717 
 
 71691 
 
 48 
 
 13 
 14 
 
 04568 76381 i 
 64590 76342 
 
 65891 
 65913 
 
 75222 67194 
 7520316-7215 
 
 74051 ;68476 
 74041 '68497 
 
 72877 69737171671 
 72857|(Jf 758171 650 
 
 47 
 40 
 
 15 64512 76323 
 
 65935 
 
 75184J 67237 
 
 74022 i:68M8 
 
 72837 t 09779 
 
 71030 45 
 
 16 
 
 64635 
 
 76304 
 
 65956 
 
 75165 67258 
 
 74002 6W539 
 
 72817 
 
 69800 
 
 71610 
 
 44 
 
 17 
 
 64657 
 
 76286 
 
 6597S 
 
 75146167280 
 
 73983 
 
 68561 
 
 72797 |V;9821 
 
 71590 
 
 43 
 
 8 
 
 64C79 76267 
 
 66000 
 
 751261 6730] 
 
 73963 
 
 68582 
 
 72777 6 5)842 
 
 71569 
 
 42 
 
 19 
 20 
 
 64701 
 64723 
 
 70248 
 76229 
 
 06022 
 06044 
 
 75 1071 67323 
 750881 67344 
 
 73944 
 73924 
 
 68803 
 68624 
 
 72757 
 72737 
 
 09862 
 69883 
 
 71549 
 71529 
 
 41 
 40 
 
 21 
 
 64746 
 
 76210 
 
 60066 
 
 75069! 
 
 67366 
 
 73904 
 
 68645 
 
 72717 
 
 09904 
 
 71508 
 
 39 
 
 1 
 
 24 
 25 
 26 
 
 64768 
 64790 
 64812 
 64834 
 64856 
 
 76192 
 761 ?3- 
 76154 
 76135 
 76116 
 
 60088 
 66109 
 06131 
 00153 
 66-1 75 
 
 7505&1 
 75030 
 
 75011 
 74992 
 74-973! 
 
 67387i 73885 
 6740973865 
 67430173846 
 67452 73826 
 G7473I73306' 
 
 68666 
 
 08088 
 68709 
 68730 
 68751 
 
 72697 
 72677 
 72657 
 72637 
 726 1 7 
 
 09925 71488 
 69946 71468 
 099f 6 71-447 
 69987)71427 
 70008 71407 
 
 38 
 37 
 36 
 35 
 34 
 
 27 
 
 64878 
 
 76097 
 
 09197 
 
 74953" 
 
 67495 73787 i : 68772 72597 
 
 70029 
 
 713S6 33 
 
 28 
 
 64901 
 
 78078 
 
 06218 
 
 74934 
 
 67510 737071 68793J72577 
 
 70049 
 
 71366 
 
 32 
 
 29 
 
 64923 
 
 76059 
 
 66240 
 
 74915| 
 
 67538 73747 16881 4^2557 
 
 70070 
 
 7 ! 34o 
 
 11 
 
 30 
 
 64945 
 
 76041 [{66262 
 
 74890 
 
 07559 
 
 737281 
 
 688S&! 72537 
 
 70091 
 
 71325 
 
 30 
 
 31 
 
 64967 
 
 76022 j,66284 
 
 74876 
 
 07580 
 
 737081 
 
 680577*517 
 
 701 12171305 
 
 29 
 
 32 
 
 64989 
 
 760031; 66306 
 
 74857 
 
 07002 
 
 738881 
 
 63878 i 72497 
 
 70132 71284 
 
 28 
 
 33 
 
 65011 
 
 75984Ji$BSt7 
 
 74 838 
 
 07023 
 
 73069! 
 
 68899:72477 
 
 70153 
 
 71264 
 
 27 
 
 34 
 
 650331 75965! : 66349 
 
 74818 
 
 67645 
 
 73649 
 
 68920 72457 
 
 70174 
 
 71243 
 
 26 
 
 35 
 
 65055 
 
 75946 ,60871 
 
 74799 
 
 07608 
 
 73029 
 
 08 ;M 1,72437 
 
 70 195 
 
 71223 
 
 25 
 
 36 
 
 65077 75927 60393 
 
 74750 
 
 07688 
 
 73010 
 
 08902 72417 
 
 702 ! 5 
 
 7120:} 
 
 24 
 
 37 
 
 65099 75908 .66414 
 
 74760 
 
 07709 735901 
 
 689N3 72397 
 
 7f)236 
 
 71182 
 
 23 
 
 38 
 
 65122 
 
 75889166430 
 
 74741 
 
 '07736 ! 75*570! 
 
 900 172377 
 
 70X57 
 
 7 ! 1 62 
 
 22 
 
 39 
 
 05144 
 
 75870 
 
 66458 
 
 74722 
 
 J7752'|Vd551 ' 
 
 09i:2"> 72357 
 
 70277 
 
 71141 
 
 21 
 
 40 
 
 05166 
 
 7585 1 
 
 664 SO 
 
 74703 
 
 67773 7:?53 1 1 [0901 R 72337 
 
 7029 S 
 
 711*21 
 
 20 
 
 41 
 
 65188 
 
 75832 66501 
 
 74083 
 
 677#ji733l I |69067J72317 70319 
 
 71100 
 
 19 
 
 42 
 
 65210 
 
 758l3;.6ff522 
 
 74004 
 
 078Ifv73491jf09088 72297 
 
 70339:71680 
 
 18 
 
 43 
 
 65232 
 
 75734 
 
 :06f)15 
 
 74644 
 
 07837173472' 
 
 09109:72277 
 
 70-JB0171059 
 
 17 
 
 44 
 
 65254 
 
 75775 :6Gfj66 
 
 74025 
 
 07859 73^52 
 
 09 130j 72257 
 
 7038 1 
 
 71039 
 
 10 
 
 45 
 
 65270 
 
 7jj75<>j66r588 
 
 74006 
 
 67880 
 
 73432 
 
 09 151 172236 
 
 70401 
 
 71019 
 
 15 
 
 40 05298 
 
 75738 OG'olO 
 
 745RO 
 
 67901 [734 12 
 
 091 72; 72216 
 
 70422 
 
 70998 
 
 14 
 
 47 65320 
 
 75719 00032 
 
 74507 
 
 0792373393 
 
 69193172196 
 
 70443 
 
 170978 
 
 Id 
 
 48i 65342J 75699 00653 
 
 74548 
 
 07944i73373 
 
 69214172176 
 
 70463 
 
 ; 70957 
 
 12 
 
 49 
 
 65364 75080 66075'7452 
 
 (37965 
 
 73353 
 
 '9235 72150 
 
 70484 
 
 70937 
 
 11 
 
 50 
 
 65386 175001 [66697 
 
 74509 
 
 67987 
 
 73333 
 
 69250 72130 
 
 70505170916 
 
 10 
 
 51 
 62 
 
 65408J75642 66718 
 65430 756231: 6674C 
 
 74489 
 74470 
 
 6800S 73314 
 08029 73294 
 
 6927772116 
 
 09298 72095 
 
 70525 
 
 70540 
 
 70896 
 
 70875 
 
 9 
 
 8 
 
 53 
 
 65452!75604 !6fi76S 
 
 74451 
 
 68051 73274 
 
 0931972075 
 
 70567 
 
 70855 
 
 i 
 
 54 
 
 65474 75585 6(578" 
 
 74431 
 
 68072173254 
 
 53340172055 
 
 70587 70834 
 
 
 
 55 
 
 65490 755661 6680 
 
 74412 
 
 ! 68093* 73234 
 
 60361 72035 
 
 70008 
 
 70813 
 
 f> 
 
 56 
 
 65518 ! 75547|,C>8S27 
 
 74392 
 
 681 li 
 
 > 73215 
 
 I 09 i 382f720lr, 
 
 70628 
 
 70793 
 
 4 
 
 57 
 
 &5540 75528: 66S4& 
 
 71373 68130 73195 
 
 69403 71 f J95|J706<l?> 70772 
 
 'A 
 
 58 
 58 
 60 
 
 65562; 75509. 067(. 
 65584175490 6089 ' 
 65606' 75471| 06911 
 
 74353 
 74334 
 J 74314 
 
 i 08 157 173 175 
 68179-73155 
 R820U73135 
 
 69424 17 1 974 70670 70752 
 69445 71 954J|?069(>, 707.; 
 69466 7 1 934 i 707 11 70711 
 
 '2 
 \ 
 (J 
 
 M 
 
 IToa 
 
 N. s. |N. rs 
 
 N.S. 
 
 N. ('*?. t N. 8. 
 
 N. CS. 
 
 N.S. jjN.cs 
 
 N.S 
 
 M 
 
 49 Deer. , 48 l^esr- 1 47 Der. 
 
 46 Dep. ll 45 Deg. 
 
TABLE OF NATURAL TANGENTS. 
 
 101 
 
 
 Degrees. 1 Degree. 
 
 2 Degrees. 
 
 3 Degrees. 
 
 
 M 
 
 N.Tan., N. Cot. .N.Tan. N. Cot. 
 
 N.Tan. N. Cot. 
 
 N.Tan 
 
 N. Cot. 
 
 M 
 
 
 
 00000 
 
 0000-00 01746 
 
 57-2900 
 
 03492 28-6363 
 
 05241 
 
 19-0811 
 
 60 
 
 1 
 
 00029 
 
 3437-75 
 
 01775 
 
 56-3506 
 
 03521 
 
 28-3994 
 
 05270 
 
 18-9755 
 
 59 
 
 2 
 
 00058 
 
 1718-87 
 
 01804 
 
 55-4415 
 
 03550 
 
 28-1664 
 
 05299 
 
 18-8711 
 
 58 
 
 3 
 
 00087 
 
 1145-92 
 
 01833 
 
 54-5613 
 
 03579 
 
 27-9372 
 
 05328 
 
 18-7678 
 
 57 
 
 4 
 
 00116 
 
 859-436 
 
 01862 
 
 53-7086 
 
 03609 
 
 27-7117 
 
 05357 
 
 18-6656 
 
 56 
 
 5 
 
 00145 
 
 687-549 
 
 01891 
 
 52-8821 
 
 03638 
 
 27-4899 
 
 05387 
 
 18-5645 
 
 55 
 
 6 
 
 00175 
 
 572-957, 
 
 01920 
 
 52-0807 
 
 03667 
 
 27-2715 
 
 05416 
 
 18-4645 
 
 54 
 
 7 
 
 00204 
 
 491-106 
 
 01949 
 
 51-3032 
 
 03696 
 
 27-0566 
 
 05445 
 
 18-3655 
 
 53 
 
 8 
 
 00233 
 
 429-718 
 
 01978 
 
 50-5485 
 
 03725 
 
 26-8450 
 
 05474 
 
 18-2677 
 
 52 
 
 9 
 
 00262 
 
 381-971' 
 
 02007 
 
 49-8157 
 
 03754 
 
 26-6367 
 
 05503 
 
 18-1708 51 
 
 10 
 
 00291 
 
 343-774 1 
 
 02036 
 
 49-1039 
 
 03783 
 
 26-4316 
 
 05533 
 
 18-0750 
 
 50 
 
 11 
 
 00320 
 
 312-521 
 
 02066 
 
 48-4121 
 
 03812 
 
 26-2296 
 
 05562 
 
 17-9801 
 
 49 
 
 12 
 
 00349 
 
 286-478 
 
 02095 
 
 47-7395 
 
 03842 
 
 26-0307 
 
 05591 
 
 17-8863 
 
 48 
 
 13 
 
 00378 
 
 264-441 
 
 02124 
 
 47-0853 
 
 03871 
 
 25-8348 
 
 05620 
 
 17-7934 
 
 47 
 
 14 
 
 00407 
 
 245-552 
 
 02153 
 
 46-4489 
 
 03900 
 
 25-6418 
 
 05649 
 
 17-7015 
 
 46 
 
 15 
 
 00436 
 
 229-182 02182 
 
 45-8294 
 
 03929 
 
 25-4517 
 
 05678 
 
 17-6106 
 
 45 
 
 16 
 
 00465 
 
 214-858 
 
 02211 
 
 45-2261 
 
 03958 
 
 25-2644 
 
 05708 
 
 17-5205 
 
 44 
 
 17 
 
 00495 
 
 202-219 
 
 02240 
 
 44-6386 
 
 03987 
 
 25-0798 
 
 05737 
 
 17-4314 
 
 43 
 
 18 
 
 00524 
 
 190-984; 
 
 02269 
 
 44-0661 
 
 04016 
 
 24-8978 
 
 05766 
 
 17-3432 
 
 42 
 
 19 
 
 00553 
 
 180-932 
 
 02298 
 
 43-5081 
 
 04046 
 
 24-7185 
 
 05795 
 
 17-2558 
 
 41 
 
 20 
 
 00582 
 
 171-885 
 
 02328 
 
 42-9641 
 
 04075 
 
 24-5418 
 
 05824 
 
 17-1693 
 
 40 
 
 21 
 
 00611 
 
 163-700 
 
 02357 
 
 42-4335 
 
 04104 
 
 24-3675 
 
 05854 
 
 17-0837 39 
 
 22 
 
 00640 
 
 156-259 
 
 02386 
 
 41-9158 
 
 04133 
 
 24-1957 
 
 05883 
 
 16-9990 38 
 
 23 
 
 00669 
 
 149-465 
 
 02415 
 
 41-4106 
 
 04162 
 
 24-0263 
 
 05912 
 
 16-9150 37 
 
 24 
 
 00698 
 
 143-237 
 
 02444 
 
 40-9174 
 
 04191 
 
 23-8593 
 
 05941 
 
 16-8319 36 
 
 25 
 
 00727 
 
 137-507 
 
 02473 
 
 40-4358 
 
 04220 
 
 23-6945 
 
 05970 
 
 16-7496135 
 
 26 
 
 00756 
 
 132-219 
 
 02502 
 
 39-9655 
 
 04250 
 
 23-5321 
 
 05999 
 
 16-6681 
 
 34 
 
 27 
 
 00785 
 
 127-321 
 
 02531 
 
 39-5059 
 
 04279 
 
 23-3718 
 
 06029 
 
 16-5874 
 
 33 
 
 28 
 
 00814 
 
 122-774 
 
 02560 
 
 39-0568 
 
 04308 
 
 23-2137 
 
 06058 
 
 16-507532 
 
 29 
 
 00&44 
 
 118-540 
 
 02589 
 
 38-6177 
 
 04337 
 
 23-0577 
 
 06087 
 
 16-4283 
 
 31 
 
 30 
 
 00873 
 
 114-589 
 
 02619 
 
 38-1885 
 
 04366 
 
 22-9037 
 
 06116 
 
 16-3499i30 
 
 ~3~1 
 
 00902 
 
 110-892 
 
 02648 
 
 37-7686 
 
 04395 
 
 22-7518 
 
 06145 
 
 16-2722| 29 
 
 32 
 
 00931 
 
 107-426 
 
 02677 
 
 37-3579 
 
 04424 
 
 22-6020 
 
 06175 
 
 16-1952,28 
 
 33 
 
 00960 
 
 104-171 
 
 02706 
 
 36-9560 
 
 04454 
 
 22-4541 
 
 06204 
 
 16-119027 
 
 34 
 
 00989 
 
 101-107 
 
 02735 
 
 36-5627 
 
 04483 
 
 22-3081 
 
 06233 
 
 16-0435 26 
 
 35 
 
 01018 
 
 98-2179 
 
 02764 
 
 36-1776 
 
 04512 
 
 22-1640 
 
 06262 
 
 15-9687 
 
 25 
 
 36 
 
 01047 
 
 95-4895 
 
 02793 
 
 35-8006 
 
 04541 
 
 22-0217 
 
 06291 
 
 15-8945 
 
 24 
 
 37 
 
 01076 
 
 92-9085 
 
 02822 
 
 35-4313 
 
 04570 
 
 21-8813 
 
 06321 
 
 15-8211 
 
 23 
 
 38 
 
 01105 
 
 90-4633 
 
 02851 
 
 35-0695 
 
 04599 
 
 21-7426 
 
 06350 
 
 15-7483 
 
 22 
 
 39 
 
 01135 
 
 88-1436 
 
 02S81 
 
 34-7151 
 
 04628 
 
 21-6056 
 
 06379 
 
 15-6762 
 
 21 
 
 40 
 
 01164 
 
 85-9398 
 
 02910 
 
 34-3678 
 
 04658 
 
 21-4704 
 
 06408 
 
 15-6043 
 
 20 
 
 41 
 
 01193 
 
 83-8435 
 
 02939 
 
 JM'd&ttJI 04687 
 
 21-3369 
 
 06437 
 
 15-5340 19 
 
 42 
 
 01222 
 
 81-84^0 
 
 02968 
 
 33-6935 
 
 04716 
 
 21-2049 
 
 06467 
 
 15-4638 
 
 18 
 
 43 
 
 01251 
 
 79-9434 
 
 02997 
 
 33-3662 
 
 04745 
 
 21-0747 
 
 06496 
 
 15-3943 
 
 17 
 
 44 
 
 01280 
 
 78-1263 
 
 03026 
 
 33-0452 
 
 04774 
 
 20-9460 
 
 06525 
 
 15-3254 
 
 16 
 
 45 
 
 0130& 
 
 76-3900 
 
 03055 
 
 32-7303 
 
 04803 
 
 20-8188 
 
 06554 
 
 15-2571 
 
 15 
 
 46 
 
 ~6l338 
 
 74-7292 
 
 03084 
 
 32-4213 
 
 04832 
 
 20-6932 
 
 06584 
 
 15-1893 
 
 iT 
 
 47 
 
 01367 
 
 73-1390 
 
 03114 
 
 32-1181 
 
 04862 
 
 20-5691 
 
 06613 
 
 15-1222 
 
 13 
 
 48 
 
 01396 
 
 71-6151 
 
 03143 
 
 31-8205 
 
 04891 
 
 20-4465 
 
 06642 
 
 15-0557 
 
 12 
 
 49 
 
 01425 
 
 70-1533 
 
 03172 
 
 31-5284 
 
 04920 
 
 20-3253 
 
 06671 
 
 14-9898 
 
 11 
 
 50 
 
 01455 
 
 68-7501 
 
 03201 
 
 31-2416 
 
 04949 
 
 20-2056 
 
 06700 
 
 14-9244 
 
 10 
 
 51 
 
 01484 
 
 67-4019 
 
 03230 
 
 30-9599 
 
 04978 
 
 20-0872 
 
 06730 
 
 14-8596 
 
 9 
 
 52 
 
 01513 
 
 66-1055 
 
 03259 
 
 30-6833 
 
 05007 
 
 19-9702 
 
 06759 
 
 14-7954 
 
 8 
 
 53 
 
 01542 
 
 64-8580 
 
 03288 
 
 30-4116 
 
 05037 
 
 19-8546 
 
 06788 
 
 14-7317 
 
 7 
 
 54 
 
 01571 
 
 63-6567 
 
 03317 
 
 30-1446 
 
 050G6 
 
 19-7403 
 
 06817 
 
 14-6685 
 
 6 
 
 55 
 
 01600 
 
 62-4992 
 
 03346 
 
 2*3 8823 
 
 05095 
 
 19-6273 
 
 06847 
 
 14-6059 
 
 5 
 
 56 
 
 01629 
 
 61-3829 
 
 03376 
 
 29-6245 
 
 05124 
 
 19-5156 
 
 06876 
 
 14-5438 
 
 4 
 
 57 
 
 01658 
 
 60-3058 
 
 03405 
 
 29-3711 
 
 05153 
 
 19-4051 
 
 06905 
 
 14-4823 
 
 3 
 
 58 
 
 01687 
 
 59-2659 
 
 
 29-1220 
 
 05182 19-2959 
 
 06934 
 
 14-4212 
 
 2 
 
 59 
 
 01716 
 
 58-2612 
 
 03463 
 
 28-8771 
 
 05212 19-1879 
 
 06963 
 
 14-3607 
 
 1 
 
 60 
 
 01746 
 
 57-2300. 03492 
 
 28-6363 
 
 05241 
 
 19-0811 
 
 06993 
 
 14-3007 
 
 
 
 M 
 
 N. Cot. 
 
 N. TuuT 
 
 IN. Cot. 
 
 N. Tan. 
 
 N. Cot 
 
 N. Tan. 
 
 N. Cot. 
 
 N. Tan. ^_ 
 
 r 
 
 89 Degrees. [| 88 Degrees. 
 
 87 Degrees. 
 
 86 Degrees. ! 
 
102 
 
 TABLE OF NATURAL TANGENTS, 
 
 
 4 Degrees. 
 
 5 Degrees, jj 6 Degrees. 
 
 7 Degrees. 
 
 
 TC 
 
 N. Tan. N. Cot. 
 
 N.Tan. 
 
 N. Cot. 
 
 N. Tan. 
 
 N. Cot. 
 
 N.Tan. 
 
 N Cot. 
 
 M 
 
 
 
 06993 
 
 14-3007 
 
 08749 
 
 11-4301 
 
 10510 
 
 9-51436 
 
 12278 
 
 c-14435 
 
 60 
 
 I 
 
 07022 
 
 14-2411 
 
 08778 
 
 11-3919 
 
 10540 
 
 9-48781 
 
 12308 
 
 8-12481 
 
 59 
 
 2 
 
 07051 
 
 14-1821 
 
 08807 
 
 11-3540 
 
 10569 
 
 9-46141 
 
 12338 
 
 8-10536 
 
 58 
 
 3 
 
 07080 
 
 14-1235 
 
 08837 
 
 11-3163 
 
 10599 
 
 9-43515 
 
 12367 
 
 8-08600 57 
 
 4 
 
 07110 
 
 14-0655 
 
 08866 
 
 11-2789 
 
 10628 
 
 9-40904 
 
 12397 
 
 8-06674"56 
 
 5 
 
 07139 
 
 14-0079 
 
 08895 
 
 11-2417 
 
 10657 
 
 9-38307 
 
 12426 
 
 8-04756 55 
 
 6 
 
 07168 
 
 13-9507 
 
 08925 
 
 1 1 2048 
 
 10687 
 
 9-35724 
 
 12456 
 
 8-02848 54 
 
 r 
 
 07197 
 
 13-8940 
 
 08954 
 
 11-1681 
 
 10716 
 
 9-33154 
 
 12485 
 
 8-00948 53 
 
 8 
 
 07227 
 
 13-8378 
 
 08983 
 
 11-1316 
 
 10746 
 
 9-30599 
 
 12515 
 
 7-99058 52 
 
 9 
 
 07256 
 
 13-7821 
 
 09013 
 
 11-0954 
 
 10775 
 
 9-28058 
 
 12544 
 
 7-97176J51 
 
 10 
 
 07285 
 
 13-7267 
 
 09042 
 
 11-0594 
 
 10805 
 
 9-25530 
 
 2574 
 
 7-95302 50 
 
 11 
 
 07314 
 
 13-6719 
 
 09071 
 
 11-0237 
 
 10834 
 
 9-23016 
 
 2603 
 
 7-93438 49 
 
 12 
 
 07344 
 
 13-6174 
 
 09101 
 
 10-9881 
 
 10863 
 
 9-20566 
 
 2633 
 
 .91582 48 
 
 13 
 
 07373 
 
 13-5634 
 
 09130 
 
 10-9528 
 
 10893 
 
 9-18028 
 
 2662J -89734 
 
 47 
 
 14 
 
 07402 
 
 13-5098 
 
 09159 
 
 10-9178 
 
 10922 
 
 9-15554 
 
 2692 
 
 -87895 
 
 46 
 
 15 
 
 07431 
 
 13-.4566 
 
 09139 
 
 10-8829 
 
 10952 
 
 9-13093 
 
 2722 
 
 86064 
 
 45 
 
 16 
 
 07461 
 
 13-4039 
 
 09218 
 
 10-8483 
 
 10981 
 
 9-10646 
 
 12751 
 
 84242 
 
 44 
 
 17 
 
 07490 
 
 13-31515 
 
 09247 
 
 10-8139 
 
 11011 
 
 9-08211 
 
 12781 
 
 82428 
 
 43 
 
 18 
 
 07519 
 
 13-2996 
 
 09277 
 
 10-7797 
 
 11040 
 
 9-05789 
 
 12810 
 
 80622 
 
 42 
 
 19 
 
 07548 
 
 13-2480 
 
 09306 
 
 10-7457 
 
 11070 
 
 9-03379 
 
 12840 
 
 78825 
 
 41 
 
 20 
 
 07578 
 
 13-1969 
 
 09335 
 
 10-7119 
 
 11099 
 
 9-00983 
 
 12869 
 
 77035 
 
 40 
 
 21 
 
 07607 
 
 13-1461 
 
 09365 
 
 10-6783 
 
 11128 
 
 8-98598 
 
 12899 
 
 75254 39 
 
 22 
 
 07636 
 
 13-0958 
 
 09394 
 
 10-6450 
 
 11158 
 
 8-96227 
 
 12929 
 
 73480! 38 
 
 23 
 
 07665 
 
 13 0458 
 
 09423 
 
 10-6118 
 
 11187 
 
 8-93867 
 
 12958 
 
 71715 37 
 
 24 
 
 07695 
 
 12-9962 
 
 09453 
 
 10-5789 
 
 11217 
 
 8-91520 
 
 12988 
 
 69957 36 
 
 25 
 
 07724 
 
 12-9469 
 
 09482 
 
 10-5462 
 
 11246 
 
 8-89185 
 
 13017 
 
 68208 
 
 35 
 
 26 
 
 07753 
 
 12-8981 
 
 09511 
 
 10-5136 
 
 11276 
 
 8-86862 
 
 13047 
 
 66466 
 
 34 
 
 27 
 
 07782 
 
 12-8496 
 
 09541 
 
 10-4813 
 
 11305 
 
 8-84551 
 
 13076 
 
 7-64732 
 
 33 
 
 28 
 
 07812 
 
 12-8014 
 
 09570 
 
 10-4491 
 
 11335 
 
 8-82252 
 
 13106 
 
 7-63005 
 
 32 
 
 29 
 
 07841 
 
 12-7536 
 
 09600 
 
 10-4172 
 
 11364 
 
 8-79964 
 
 13136 
 
 7-61287 
 
 31 
 
 30 
 
 07870 
 
 12-7062 
 
 09629 
 
 10-3854 
 
 11394 
 
 8-77689 
 
 13165 
 
 7-59575 
 
 30 
 
 31 
 
 07899 
 
 12-6591 
 
 09658 
 
 10-3538 
 
 11423 
 
 8-75425 
 
 13195 
 
 7-57872 
 
 29 
 
 32 
 
 07929 
 
 12-6124 
 
 09688 
 
 10-3224 
 
 11452 
 
 8-73172 
 
 13224 
 
 7-56176 
 
 28 
 
 33 
 
 07958 
 
 12-5660 
 
 09717 
 
 10-2913 
 
 11482 
 
 8-70931 
 
 13254 
 
 7-54487 
 
 27 
 
 34 
 
 07987 
 
 12-5199 
 
 09746 
 
 10-2602 
 
 11511 
 
 8-68701 
 
 13284 
 
 7-52806 
 
 26 
 
 35 
 
 08017 
 
 12-4742 
 
 09776 
 
 10-2294 
 
 11541 
 
 8-66482 
 
 13313 
 
 7-51132 
 
 25 
 
 36 
 
 08046 
 
 12-4288 
 
 09805 
 
 10-1988 
 
 11570 
 
 8-64275 
 
 13343 
 
 7-49465 
 
 24 
 
 37 
 
 08075 
 
 12-3838 
 
 09834 
 
 10-1683 
 
 11600 
 
 8-62078 
 
 13372 
 
 7-47806 23 
 
 38 
 
 08104 
 
 12-3390 
 
 09864 
 
 10-1381 
 
 11629 
 
 8-59893 
 
 13402 
 
 7-46154 22. 
 
 39 
 
 08134 
 
 12-2946 
 
 09893 
 
 10-1080 
 
 11659 
 
 8-57718 
 
 13432 
 
 7-44509 
 
 21 
 
 40 
 
 09163 
 
 12-2505 
 
 09923 
 
 10-0780 
 
 11688 
 
 8-55555 
 
 13461 
 
 7-42871 20 
 
 41 
 
 08192 
 
 12-2067 
 
 09952 
 
 10-0483 
 
 11718 
 
 8-53402 
 
 13491 
 
 7-41240 19 
 
 42 
 
 08221 
 
 12-1632 
 
 09981 
 
 10-0187 
 
 11747 
 
 8-51259 
 
 13521 
 
 7-39616 
 
 18 
 
 43 
 
 08251 
 
 12-1201 
 
 10011 
 
 9-98930 
 
 11777 
 
 8-49128 
 
 13550 
 
 7-37999 17 
 
 44 
 
 08280 
 
 12-0772 
 
 10040 
 
 9-96007 
 
 11806 
 
 8-47007 
 
 13580 
 
 7-36389 16 
 
 45 
 
 08309 
 
 12-0346 
 
 10069 9-93101 
 
 11836 
 
 8-44896 
 
 13609 
 
 -34786 15 
 
 46 
 
 08339 
 
 11-9923 
 
 10099J 9-90211 
 
 11865 
 
 8- 42795 j 13639 
 
 7-33190 
 
 14 
 
 47 
 
 08368 
 
 11-9504 
 
 10128 9-87338 
 
 11895 
 
 8- 40705; 13669 
 
 7-31600 13 
 
 48 
 
 08397 
 
 11-9087 
 
 10158 
 
 9-84482 
 
 11924| 8-38625! 13698 
 
 7-30018 12 
 
 49 
 
 08427 
 
 ll-8673 
 
 10187 
 
 9-81641 
 
 11954 
 
 8-36555;! 13728 
 
 7-28442 11 
 
 50 
 
 08456 
 
 11-8262 
 
 10216 
 
 9-78817 
 
 11983 
 
 8-34496 1 13758 
 
 7-26873 
 
 10 
 
 51 
 
 08485 
 
 11-7853 
 
 10246 9-76009 
 
 12013 
 
 8-32446 
 
 13787 
 
 7-25310 
 
 9 
 
 52 
 
 08514 
 
 11-7448 
 
 102751 9-73217 
 
 12042 
 
 8-30406 
 
 13817 
 
 7-23754 
 
 8 
 
 53 
 
 08544 
 
 11-7045 
 
 10305! 9-70441 
 
 12072 8-28376 ; | 13846 
 
 7-22204 
 
 7 
 
 54 
 
 G8573 
 
 11-6645 
 
 10334 9-67680 
 
 12101 8-26355 13876 
 
 7-20661 
 
 6 
 
 55 
 
 OS602 
 
 11-6248 
 
 10363J 9-64935 
 
 12131 8-24345 13906 
 
 7-19125 
 
 5 
 
 56 
 
 08632 
 
 1 1 5853 
 
 103931 9-62-205 
 
 12160 8-22344 1 ! 13935 
 
 7-17594 
 
 4 
 
 57 
 
 08661 11-5461 
 
 10422! 9-59490 
 
 12190 8-20352 13965 
 
 7-160711 3 
 
 58 
 
 08690 11-5072 
 
 10452! 9-56791 
 
 12219 8-18370 13995 
 
 7-14553 2 
 
 59 
 
 08720) 11-4685 
 
 10481' 9-54106 
 
 12249 8- 16398 ! 14024 
 
 7-13042 1 
 
 60 
 
 08749 1 11-4301 
 
 10510 9-51436 
 
 12278 8- 14^135 l 14054 
 
 7-11537; o 
 
 M IX 7 . Cut.! N.Tan. 
 
 'N. Cot. N.Tan. j N. Cot. N. Tn. N. Cot. 
 
 N. Tan. 
 
 M 
 
 feo Degrees. 
 
 84 Degrees. ; 83 Degrees. !;. 62 Degrees. 
 
 
TABLE OF NATURAL TANGENTS. 
 
 103 
 
 
 8 Degrees. 
 
 9 Degrees. 
 
 10 Degrees. 
 
 11 Degrees. 
 
 M 
 
 N.Tan. N. Cot. 
 
 N.Tan. 
 
 N. Cot. 
 
 N.Tan. N. Cot. 
 
 N.Tan. 
 
 N. Cot. 91 
 
 
 
 14054 7-11537 
 
 15838 
 
 6-31375 
 
 17633 
 
 5-67128 
 
 19438 
 
 5-14455 60 
 
 1 
 
 14084 7-10038 
 
 15868 
 
 6-30189 
 
 17663 
 
 5-66165 
 
 19468 
 
 5-13658 59 
 
 2 
 
 14113J 7-08546 
 
 15898 
 
 6-29007 
 
 17693 
 
 5-65205 
 
 19498 
 
 5-12862 58 
 
 3 
 
 14143 7-07059 
 
 15928 
 
 6-27829 
 
 17723 5-64248 
 
 19529 
 
 5-12069 57 
 
 4 
 
 14173 7-05579 
 
 15958 
 
 6-26655 
 
 17753 
 
 5-63295 
 
 19559 
 
 5-11279 56 
 
 5 
 
 14202 
 
 7-04105 
 
 15988 
 
 6-25486 
 
 17783 
 
 5 62344 
 
 19589 
 
 5-10490 55 
 
 6 
 
 14232 
 
 7-02637 
 
 16017 
 
 6-24321 
 
 17813 
 
 5-61397 
 
 19619 
 
 5-09704 54 
 
 7 
 
 14262 7-01174 
 
 16047 
 
 6-23160 
 
 17843 
 
 ' 5-60452 
 
 19649 
 
 5-08921 53 
 
 8 
 
 14291 6-99718 
 
 16077 
 
 6 22003 
 
 17873 
 
 5-59511 
 
 19680 
 
 5-08139 52 
 
 9 
 
 14321 
 
 6-98268 
 
 16107 
 
 6-20851 
 
 17903 
 
 5-58573 
 
 19710 
 
 S-07360,51 
 
 10 
 
 14351 
 
 6-96823 
 
 16137 
 
 6-19703 
 
 17933 
 
 5-57638 
 
 19740 
 
 5-06584 50 
 
 11 
 
 14381 
 
 6-95385 
 
 16167 
 
 6-18559 
 
 17963 
 
 5-56706 
 
 19770 
 
 5-05809 49 
 
 12 
 
 14410 
 
 6-93952 
 
 16196 
 
 6-17419 
 
 17993 
 
 5-55777 
 
 19801 
 
 5-Of)037j48 
 
 13 
 
 14440 
 
 6-92525 
 
 16226 
 
 6-16283 
 
 18023 
 
 5-54851 
 
 19831 
 
 5-04267)47 
 
 14 
 
 14470 
 
 6-91104 
 
 16256 
 
 6-15151 
 
 18053 
 
 5-53927 
 
 19861 
 
 5-03499 
 
 46 
 
 15 
 
 14499 
 
 6-89688 
 
 16286 
 
 6-14023 
 
 18083 
 
 5-53007 
 
 19891 
 
 5-02734 
 
 45 
 
 16 
 
 14529 
 
 6-88278 
 
 1631(5 
 
 6-12899 
 
 18113 
 
 5-52090 
 
 19321 
 
 5-01971 
 
 44 
 
 17 
 
 14559 
 
 6-86874 
 
 16346 
 
 6-11779 
 
 18143 
 
 5-51176 
 
 19952 
 
 5-01210 
 
 43 
 
 18 
 
 14588 
 
 6-85475 
 
 16376 
 
 6-10664 
 
 18173 
 
 5-50264 
 
 19982 
 
 5-00451 
 
 42 
 
 19 
 
 14618 
 
 6-84082 
 
 16405 
 
 6-09552 
 
 18203 
 
 5-49356 
 
 20012 
 
 4-9%95 
 
 41 
 
 20 
 
 14648 
 
 6-82694 
 
 16435 
 
 6-08444 
 
 18233 
 
 5-48451 
 
 20042 
 
 4-98940 
 
 40 
 
 21 
 
 14678 
 
 6-81312 
 
 16465 
 
 6-07340 
 
 18263 
 
 5-47548 
 
 20073 
 
 4-98188 
 
 39 
 
 22 
 
 14707 
 
 6-79936 
 
 16495 
 
 6 06240 
 
 18293 
 
 5-46648 
 
 20103 
 
 4-97438 
 
 38 
 
 23 
 
 14737 
 
 6-78564 
 
 16525 
 
 6-05143 
 
 18323 
 
 5-45751 
 
 20133 
 
 4-96690 
 
 37 
 
 24 
 
 14767 
 
 6-77199 
 
 16555 
 
 6-04051 
 
 18353 
 
 5-44857 
 
 20164 
 
 4-95945 
 
 36 
 
 25 
 
 14796 
 
 6-75838 
 
 16585 
 
 6-02962 
 
 18383 
 
 5-43966 
 
 20194 
 
 4-95201 
 
 35 
 
 26 
 
 14826 
 
 6-74483 
 
 16615 
 
 6-01S78 
 
 18414 
 
 5-43077 
 
 20224 
 
 4-94460 
 
 34 
 
 27 
 
 14856 
 
 6-73133 
 
 16645 
 
 6-00797 
 
 18444 
 
 5-42192 
 
 20254 
 
 4-93721 
 
 33 
 
 28 
 
 14886 
 
 6-71789 
 
 16674 
 
 5-99720 
 
 18474 
 
 5-41309 
 
 20285 
 
 4-92984 
 
 32 
 
 29 
 
 14915 
 
 6-70450 
 
 16704 
 
 5-98646 
 
 18504 
 
 5-40429 
 
 20315 
 
 4-9*2249 
 
 31 
 
 30 
 
 14945 
 
 6-69116 
 
 16734 
 
 5-97576 
 
 18534 
 
 5-39552 
 
 20345 
 
 4-91516 
 
 30 
 
 "31 
 
 14975 
 
 6-6778? 
 
 16764 
 
 5-96510 
 
 18564 
 
 5-38677 
 
 20376 
 
 4-90785 
 
 29 
 
 32 
 
 15005 
 
 6-66463 
 
 16794 
 
 5-95448 
 
 18594 
 
 5-37805 
 
 20406 
 
 4-90056 
 
 28 
 
 33 
 
 15034 
 
 6-65144 
 
 16824 
 
 5-94390 
 
 18624 
 
 5-36936 
 
 20436 
 
 4-89330)27 
 
 34 
 
 15064 
 
 6-63831 
 
 16854 
 
 5-93335 
 
 18654 
 
 5-36070 
 
 20466 
 
 4-88605126 
 
 35 
 
 15094 
 
 6-62523 
 
 16884 
 
 5-92283 
 
 18684 
 
 5-35206 
 
 20497 
 
 4 -'87882 28 
 
 36 
 
 15124 
 
 6-61219 
 
 16914 
 
 5-91235 
 
 18714 
 
 5-34345 
 
 20527 
 
 4-87162124 
 
 37 
 
 15153 
 
 6-59921 
 
 16944 
 
 5-90191 
 
 18745 
 
 5-33487 
 
 20557 
 
 4-86444 
 
 23 
 
 38 
 
 15183 
 
 6-58627 
 
 16974 
 
 5-89151 
 
 18775 
 
 5-32631 
 
 20588 
 
 4-85727 
 
 22 
 
 39 
 
 15213 
 
 6-57339 
 
 17004 
 
 5-88114 
 
 18805 
 
 5-31778 
 
 20618 
 
 4-85013 
 
 21 
 
 40 
 
 15243 
 
 6-56055 
 
 17033 
 
 5-87080 
 
 18835 
 
 5-30928 
 
 20648 
 
 4-84300 
 
 20 
 
 41 
 
 15272 
 
 6-54777 
 
 17063 
 
 5-86051 
 
 18865 
 
 5-30080 
 
 20679 
 
 4-83590 
 
 19 
 
 42 
 
 15302 
 
 6-53503 
 
 17093 
 
 5-85024 
 
 18895 
 
 5-29235 
 
 20709 
 
 4-82882 
 
 18 
 
 43 
 
 15332 
 
 6 52234 
 
 17123 
 
 5-84001 
 
 18925 
 
 5-28393 
 
 20739 
 
 4-82175 
 
 17 
 
 44 
 
 15362 
 
 6-50970 
 
 17153 
 
 5-82982 
 
 18955 
 
 5-27553 
 
 20770 
 
 4-81471 
 
 16 
 
 45 
 
 15391 
 
 6-49710 
 
 17183 
 
 5-81966 
 
 18986 
 
 5-26715 
 
 20800 
 
 4-80769 
 
 15 
 
 46 
 
 15421 
 
 6-48456 
 
 17213 
 
 5-80953 
 
 19016 
 
 5-25880 
 
 20830 
 
 4-80068 
 
 14 
 
 47 
 
 15451 
 
 6-47206 
 
 17243 
 
 5-79944 
 
 19046 
 
 5-25048 
 
 20861 
 
 4-79370 
 
 13 
 
 48 
 
 15481 
 
 6-45961 
 
 17273 
 
 5-78938 
 
 19076 
 
 5-24218 
 
 20891 
 
 4-78673 
 
 12 
 
 49 
 
 15511 
 
 6-44720 
 
 17303 
 
 5-77936 
 
 19106 
 
 5-23391 
 
 20921 
 
 4-77978 
 
 11 
 
 50 
 
 15540 
 
 6-43484 
 
 17333 
 
 5-76937 
 
 19136 
 
 5-22566 
 
 20952 
 
 4-77286 
 
 10 
 
 51 
 
 15570 
 
 6-42253 
 
 17363 
 
 5-75941 
 
 19166 
 
 5-21744 
 
 20982 
 
 4 -.76595 
 
 9 
 
 52 
 
 15600 
 
 6-41026 
 
 17393 
 
 5 74949 
 
 19197 
 
 5-20925 
 
 21013 
 
 4-75906 
 
 8 
 
 53 
 
 15630 
 
 6-39804 
 
 17423 
 
 5-73960 
 
 19227 
 
 5-20107 
 
 21043 
 
 4-75219 
 
 7 
 
 64 
 
 15660 
 
 6-38587 
 
 17453 
 
 5-72974 
 
 19257 
 
 5-19293 
 
 21073 
 
 4-74534 
 
 6 
 
 55 
 
 15689 
 
 6-37374 
 
 17483 
 
 5-71992 
 
 19287 
 
 5-18480 
 
 21104 
 
 4-73851 
 
 5 
 
 56 
 
 15719 
 
 6-36165 
 
 17513 
 
 5-71013 
 
 19317 
 
 5- 17671 
 
 21134 
 
 4-73170 
 
 4 
 
 57 
 
 15749 
 
 6-34961 
 
 17543 
 
 5-70037 
 
 19347 
 
 5- 16863 
 
 21164 
 
 4-72490 
 
 3 
 
 58 
 
 15779 
 
 6-33761 
 
 17573 
 
 .5-69064 
 
 19378 5-16058 
 
 21195 
 
 4-tl8l3 
 
 2 
 
 59 
 
 15809 
 
 6-32566 
 
 17603 
 
 5-68094 
 
 19408 | 5-15256 
 
 21225 
 
 4-71137 
 
 1 
 
 60 
 
 15838 
 
 6-31375 
 
 17633 
 
 5-67128 
 
 19438 5-14455 
 
 21256 
 
 4-70463 
 
 
 
 M 
 
 N. Cot. 
 
 N. Tan. 
 
 N. Cot. 
 
 N Tan. 
 
 N. Cot N. Tan. 
 
 N. Cot. 
 
 N. Tan. 
 
 M 
 
 
 81 Degrees. 
 
 80 Degrees. 
 
 79 Degrees. 
 
 78 Degrees. 
 
 
104 
 
 TABLE OF NATURAL TANGENTS. 
 
 12 Degrees. 
 
 13 Degrees. 
 
 14 Degrees. 
 
 15 Degrees. 
 
 
 M 
 
 N.'Can. 
 
 N. Tan. 
 
 N. Tan. 
 
 N. Cot. 
 
 N. Tan. 
 
 N. Cot. 
 
 N. Tan. N. Cot. 
 
 M 
 
 
 
 21256 
 
 4-70463 
 
 23087 
 
 4-33148 
 
 24933 
 
 4-01078 
 
 26795! 3-73205 
 
 60 
 
 1 
 
 21286 
 
 4-69791 
 
 23117 
 
 4-32573 
 
 24964 
 
 4-00582 
 
 26826 
 
 3-72771 
 
 59 
 
 2 
 
 21316 
 
 4-69121 
 
 23148 
 
 4-32001 
 
 24995 
 
 4-00086 
 
 26857 
 
 3-72338 
 
 58 
 
 8 
 
 21347 
 
 4-63452 
 
 23179 
 
 4-31430 
 
 25026 
 
 3-99592 
 
 26888 
 
 3-71907 
 
 57 
 
 4 
 
 21377 
 
 4-67786 
 
 23209 
 
 4-30860 
 
 25056 
 
 3-99099 
 
 26920 
 
 3-71476 
 
 56 
 
 5 
 
 21408 
 
 4-67121 
 
 23240 
 
 4-30291 
 
 25087 
 
 3-98607 
 
 26951 
 
 3-71046 
 
 55 
 
 6 
 
 21438 
 
 4-66458 
 
 23271 
 
 4-29724 
 
 25118 
 
 3-98117 
 
 26982 
 
 3-70616 
 
 54 
 
 7 
 
 21469 
 
 4-65797 
 
 23301 
 
 4-29159 
 
 25149 
 
 3-97627 
 
 27013 
 
 3-70188 
 
 53 
 
 8 
 
 21499 
 
 4-65138 
 
 23332 
 
 4-28595 
 
 25180 
 
 3-97139 
 
 27044 
 
 3-69761 
 
 52 
 
 9 
 
 21529 
 
 4-64480 
 
 23363 
 
 4-28032 
 
 25211 
 
 3-96651 
 
 27076 
 
 3-69335 
 
 51 
 
 10 
 
 21560 
 
 4-63825 
 
 23393 
 
 4-27471 
 
 25242 
 
 3-96165 
 
 27107 
 
 3-68909 
 
 50 
 
 11 
 
 21590 
 
 4-63171 
 
 23424 
 
 4-26911 
 
 25273 
 
 3-95680 
 
 27133 
 
 3-68485 
 
 49 
 
 12 
 
 21621 
 
 4-62518, 
 
 23455 
 
 4-26352 
 
 25304 
 
 3-95196 
 
 27169 
 
 3-68061 
 
 48 
 
 13 
 
 21651 
 
 4-61868 
 
 23484 
 
 4-25795 
 
 25335 
 
 3-94713 
 
 27201 
 
 3-67638 
 
 47 
 
 14 
 
 21682 
 
 4-61219 
 
 23516 
 
 4-25239 
 
 25366 
 
 3-94232 
 
 27232 
 
 3-67217 
 
 46 
 
 15 
 
 21712 
 
 4-60572 
 
 23547 
 
 4-24685 
 
 25397 
 
 3-93751 
 
 27263 
 
 3-66796 
 
 45 
 
 16 
 
 21743 
 
 4-59927 
 
 23578 
 
 4-24132 
 
 25428 
 
 3-93271 
 
 27294 
 
 3-66376 
 
 44 
 
 17 
 
 21773 
 
 4-59283 
 
 23608 
 
 4-23580 
 
 25459 
 
 3-92793 
 
 27326 
 
 3-65957 
 
 43 
 
 18 
 
 21804 
 
 4-58641 
 
 23639 
 
 4-23030 
 
 25490 
 
 3-92316 
 
 27357 
 
 3-65538 
 
 42 
 
 19 
 
 21834 
 
 4-58001 
 
 23670 
 
 4-22481 
 
 25521 
 
 3-91839 
 
 27388 
 
 3-65121 
 
 41 
 
 20 
 
 21864 
 
 4-57363 
 
 23700 
 
 4-21933 
 
 25552 
 
 3-91364 
 
 27419 
 
 3-64705 
 
 40 
 
 21 
 
 21895 
 
 4-56726 
 
 23731 
 
 4-21387 
 
 25583 
 
 3-90890 
 
 27451 
 
 3-64289 
 
 39 
 
 22 
 
 21925 
 
 4-56091 
 
 23762 
 
 4-20842 
 
 25614 
 
 3-90417 
 
 27482 
 
 3-63874 
 
 38 
 
 23 
 
 21956 
 
 4-55458 
 
 23793 
 
 4-20298 
 
 25645 
 
 3-89945 
 
 27513 
 
 3-63461 
 
 37 
 
 24 
 
 21986 
 
 4-54826 
 
 23823 
 
 4-19756 
 
 25676 
 
 3-89474 
 
 27545 
 
 3-63048 
 
 36 
 
 25 
 
 22017 
 
 4-54196 
 
 23854 
 
 4-19215 
 
 25707 
 
 3-89004 
 
 27576 
 
 3-62636 
 
 35 
 
 26 
 
 22047 
 
 4-53568 
 
 23885 
 
 4-18675 
 
 25738 
 
 3-88536 
 
 27607 
 
 3-62224 
 
 34 
 
 27 
 
 22078 
 
 4-52941 
 
 23916 
 
 4-18137 
 
 25769 
 
 3-88068 
 
 27638 
 
 3-61814 
 
 33 
 
 28 
 
 22108 
 
 4-52316 
 
 23946 
 
 4-17600 
 
 25800 
 
 3-87601 
 
 27670 
 
 3-61405 
 
 32 
 
 29 
 
 22139 
 
 4-51693 
 
 23977 
 
 4-17064 
 
 25831 
 
 3-87136 
 
 27701 
 
 3-60996 
 
 31 
 
 30 
 
 22169 
 
 4-51071 
 
 24008 
 
 4-16530 
 
 25862 
 
 3-86671 
 
 27732 
 
 3-60588 
 
 30 
 
 31 
 
 22200 
 
 4-50451 
 
 24039 
 
 4-15997 
 
 25893 
 
 3-86208 
 
 27764 
 
 3-60181 
 
 29 
 
 32 
 
 22231 
 
 4-49832 
 
 24069 
 
 4-15465 
 
 25924 
 
 3-85745 
 
 27795 
 
 3-59775 
 
 28 
 
 33 
 
 22261 
 
 4-49215 
 
 24100 
 
 4-14934 
 
 25955 
 
 3-85284 
 
 27826 
 
 3-59370 
 
 27 
 
 34 
 
 22292 
 
 4-48600 
 
 24131 
 
 4-14405 
 
 25986 
 
 3-84824 
 
 27858 
 
 3*58966 
 
 26 
 
 35 
 
 22322 
 
 4-47986 
 
 24162 
 
 4-13877 
 
 26017 
 
 3-84364 
 
 27889 
 
 3-58562 
 
 25 
 
 36 
 
 22353 
 
 4-47374 
 
 24193 
 
 4-13350 
 
 26048 
 
 3-83904 
 
 27920 
 
 3-58160 
 
 24 
 
 37 
 
 22383 
 
 4-46764 
 
 24223 
 
 4-12825 
 
 26079 
 
 3-83449 
 
 27952 
 
 3-57758 
 
 23 
 
 38 
 
 22414 
 
 4-46155 
 
 24254 
 
 4-12301 
 
 26110 
 
 3-82992 
 
 27983 
 
 3-57357 
 
 22 
 
 39 
 
 22444 
 
 4-45548 
 
 24285 
 
 4-11778 
 
 26141 
 
 3-82537 
 
 28015 
 
 3-56957 
 
 21 
 
 40 
 
 22475 
 
 4-44942 
 
 24316 
 
 4-11256 
 
 26172 
 
 3-82083 
 
 28046 
 
 3 56557 
 
 20 
 
 41 
 
 22505 
 
 4-44338 
 
 24347 
 
 4-10736 
 
 26203 
 
 3-81630 
 
 28077 
 
 3-56159 
 
 19 
 
 42 
 
 22536 
 
 4-43735 
 
 24377 
 
 4-10216 
 
 26235 
 
 3-81177 
 
 28109 
 
 3-55761 
 
 18 
 
 43 
 
 22567 
 
 4-43134 
 
 24408 
 
 4-09699 
 
 26266 
 
 3-80726 
 
 28140 
 
 3-55364 
 
 17 
 
 44 
 
 22597 
 
 4-42534 
 
 24439 
 
 4-09182 
 
 26297 
 
 3-80276 
 
 28172 
 
 3-54968 
 
 16 
 
 45 
 
 22628 
 
 4-41936 
 
 24470 
 
 4-08666 
 
 26328 
 
 3-79827 
 
 28203 
 
 3-54573 
 
 15 
 
 "46 
 
 22658 
 
 4-41340 
 
 24501 
 
 4-08152 
 
 26359 
 
 3-79378 
 
 28234 
 
 3-54179 
 
 14~ 
 
 47 
 
 22689 
 
 4-40745 
 
 24532 
 
 4-07639 
 
 26390 
 
 3-78931 
 
 28266 
 
 3-53785 
 
 13 
 
 48 
 
 22719 
 
 4-40152 
 
 24562 
 
 4-07127 
 
 26421 
 
 3-78485 
 
 28297 
 
 3-53393 
 
 12 
 
 49 
 
 22750 
 
 4-39560 
 
 24593 
 
 4-06616 
 
 26452 
 
 3-78040 
 
 28329 
 
 3-53001 
 
 11 
 
 50 
 
 22781 
 
 4-38969 
 
 24624 
 
 4-06107 
 
 26483 
 
 3-77595 
 
 28360 
 
 3-52609 
 
 10 
 
 51 
 
 22811 
 
 4-38381 
 
 24655 
 
 4-05599 
 
 26515 
 
 3-77152 
 
 28391 
 
 3-52219 
 
 9 
 
 52 
 
 22842 
 
 4-37793 
 
 24686 4-05092 
 
 26546 
 
 3-76709 
 
 28423 
 
 3-51829 
 
 8 
 
 53 
 
 22872 
 
 4-37207 
 
 24717 
 
 4-04586 
 
 26577 
 
 3-76268 
 
 28454 
 
 3-51441 
 
 7 
 
 54 
 
 22903 
 
 4-36623 
 
 24747 
 
 4-04081 
 
 26608 
 
 3-75828 
 
 28486 
 
 3-51053 
 
 6 
 
 55 
 
 22P34 
 
 4-36040 
 
 24778 
 
 4-03578 
 
 26639 
 
 3-75388 
 
 28517 
 
 3-50666 
 
 5 
 
 56 
 
 22964 
 
 4-35459 
 
 24809 4-03075 
 
 26670 
 
 3-74950 
 
 28549 
 
 3-50279 
 
 4 
 
 57 
 
 22995 
 
 4-34879 
 
 24840 4-02574 
 
 26701 
 
 3-74512 
 
 28580 
 
 3-49894 
 
 3 
 
 58 
 
 23026 
 
 4-34300 
 
 24871 4-02074 
 
 26733 
 
 3-74075 
 
 28612 
 
 3-49509 
 
 2 
 
 59 
 
 23056 
 
 4-33723 
 
 24902 4-01576 
 
 26764 
 
 3-73644 
 
 28643 
 
 3-49125 
 
 1 
 
 <JQ 
 
 23087 
 
 4-33148 
 
 24933 4-01078 
 
 26795 
 
 3-73205 
 
 2867,5 
 
 3-48741 
 
 
 
 M 
 
 N Cot. N. Coi. 
 
 N. Cot. N.Tan. 
 
 N. Cot. 
 
 N. Tan. 
 
 N. Cot. 
 
 N. Tan. 
 
 M~ 
 
 
 77 Degrees. 
 
 76 Degrees. 
 
 75 Degrees. 
 
 74 Degrees. 
 
 
TABLE OF NATURAL TANGENTS. 
 
 106 
 
 
 16 Degrees. 
 
 17 Degrees. 
 
 18 Degrees. 
 
 19 Degrees. 
 
 
 M 
 
 N. Tan. 
 
 N. Cot. 
 
 N.Tan. t N. Cot. 
 
 N.Tan 
 
 N. Cot. 
 
 N.Tan. 
 
 N. Cot. 
 
 M 
 
 
 
 28675 
 
 3-48741 
 
 30573 
 
 3-27085 
 
 32492 
 
 3-07768 
 
 34433 
 
 2-90421 
 
 60 
 
 1 
 
 28706 
 
 3-48359 
 
 30605 
 
 3-26745 
 
 32524 
 
 3-07464 
 
 34465 
 
 2-90147 
 
 59 
 
 2 
 
 28738 
 
 3-47977 
 
 30637 
 
 3-26406 
 
 32556 
 
 3-07160 
 
 34498 
 
 2-89873 
 
 58 
 
 3 
 
 28769 
 
 3-47596 
 
 30669 
 
 3-26067 
 
 32588 
 
 3-06857 
 
 34530 
 
 2-89600 
 
 57 
 
 4 
 
 28800 
 
 3-47216 
 
 30700 
 
 3-25729 
 
 32621 
 
 3-06654 
 
 34563 
 
 2-89327 
 
 56 
 
 6 
 
 28832 
 
 3-46837 
 
 30732 
 
 3-25392 
 
 32653 
 
 3-06252 
 
 34596 
 
 2-89055 
 
 55 
 
 6 
 
 23864 
 
 3-46458 
 
 30764 
 
 3-25055 
 
 32685 
 
 3-05950 
 
 34628 
 
 2-88783 
 
 54 
 
 7 
 
 28895 
 
 3-46080 
 
 30796 
 
 3-24719 
 
 32717 
 
 3-05649 
 
 34661 
 
 2-88511 
 
 53 
 
 8 
 
 28927 
 
 3-45703 
 
 30828 
 
 3-24383 
 
 32749 
 
 3-05349 
 
 34693 
 
 2-88240 
 
 52 
 
 9 
 
 28958 
 
 3-45327 
 
 30860 
 
 3-24049 
 
 32782 
 
 3-05049 
 
 34726 
 
 2-87970 
 
 51 
 
 10 
 
 28990 
 
 3-44951 
 
 30891 
 
 3-23714 
 
 32814 
 
 3-04749 
 
 34758 
 
 2-81700 
 
 50 
 
 11 
 
 29021 
 
 3-44576 
 
 30923 
 
 8-23381 
 
 32846 
 
 3-04450 
 
 34791 
 
 2-87430 
 
 49 
 
 12 
 
 29053 
 
 3-44202 
 
 30955 
 
 3-23048 
 
 32878 
 
 3-04152 
 
 34824 
 
 2-87161 
 
 48 
 
 13 
 
 29084 
 
 3-43829 
 
 30987 
 
 3-22715 
 
 32911 
 
 3-03854 
 
 34856 
 
 2-86892 
 
 47 
 
 14 
 
 29116 
 
 3-43456 
 
 31019 
 
 3-22384 
 
 32943 
 
 3-03556 
 
 34889 
 
 2-86624 
 
 46 
 
 15 
 
 29147 
 
 3-43084 
 
 31051 
 
 3-22053 
 
 32975 
 
 3-03260 
 
 34922 
 
 2-86356 
 
 45 
 
 16 
 
 29179 
 
 3-42713 
 
 31083 
 
 3-21722 
 
 33007 
 
 3-02963 
 
 34954 
 
 2-86089 
 
 44~ 
 
 17 
 
 29210 
 
 3-42343 
 
 31115 
 
 3-21392 
 
 33040 
 
 3-02667 
 
 34987 
 
 2-85822 
 
 43 
 
 18 
 
 29242 
 
 3-41973 
 
 31147 
 
 3-21063 
 
 33072 
 
 3-02372 
 
 35019 
 
 2-85555 
 
 42 
 
 19 
 
 29274 
 
 3-41604 
 
 31178 
 
 3-20734 
 
 33104 
 
 3-02077 
 
 35052 
 
 2-85289 
 
 41 
 
 20 
 
 29305 
 
 3-41236 
 
 31210 
 
 3-20406 
 
 33136 
 
 3-01783 
 
 35085 
 
 2-85023 
 
 40 
 
 21 
 
 29337 
 
 3-40869 
 
 31242 
 
 3-20079 
 
 33169 
 
 3-01489 
 
 35117 
 
 2-84758 
 
 39 
 
 22 
 
 29368 
 
 3-40502 
 
 31274 
 
 3-19752 
 
 33201 
 
 3-01196 
 
 35150 
 
 2-84494 
 
 38 
 
 23 
 
 29400 
 
 3-40136 
 
 31306 
 
 3-19426 
 
 33233 
 
 3-00903 
 
 35183 
 
 2-84229 
 
 37 
 
 24 
 
 29432 
 
 3-39771 
 
 31338 
 
 3-19100 
 
 33266 
 
 3-00611 
 
 35216 
 
 2-83965 
 
 36 
 
 25 
 
 29463 
 
 3-39406 
 
 31370 
 
 3-18775 
 
 33298 
 
 3-00319 
 
 35248 
 
 2-83702 
 
 35 
 
 26 
 
 29495 
 
 3-39042 
 
 31402 
 
 3-18451 
 
 33330 
 
 3-00028 
 
 35281 
 
 2-83439 
 
 34 
 
 27 
 
 29526 
 
 3-38679 
 
 31434 
 
 3-18127 
 
 33363 
 
 2-99738 
 
 35314 
 
 2-83176 
 
 33 
 
 28 
 
 29558 
 
 3-38317 
 
 31466 
 
 3-17804 
 
 33395 
 
 2-99447 
 
 35346 
 
 2-82914 
 
 32 
 
 29 
 
 29590 
 
 3-37955 
 
 31498 
 
 3-17481 
 
 33427 
 
 2-99158 
 
 35379 
 
 2-82653 
 
 31 
 
 30 
 
 29621 
 
 3-37594 
 
 31530 
 
 3-17159 
 
 33460 
 
 2-98868 
 
 35412 
 
 2-82391 
 
 30 
 
 31 
 
 29653 
 
 3-37234 
 
 31562 
 
 3-16838 
 
 33492 
 
 2-98580 
 
 35445 
 
 "^82130 
 
 29 
 
 32' 29685 
 
 3-36875 
 
 31594 
 
 3-16517 
 
 33524 
 
 2-98292 
 
 35477 
 
 2-81870 
 
 28 
 
 33i 29716 
 
 3-36516 
 
 31626 
 
 3-16197 
 
 33557 
 
 2-98004 
 
 355X0 
 
 2-81610 
 
 27 
 
 34 ! 29748 
 
 3-36158 
 
 31658 
 
 3-15877 
 
 33589 
 
 2-97717 
 
 3r"543 
 
 2-81350 
 
 26 
 
 35 
 
 29780 
 
 3-35800 
 
 31690 
 
 3-15558 
 
 33621 
 
 2-97430 
 
 35576 
 
 2-81091 
 
 25 
 
 36 
 
 29811 
 
 3-35443 
 
 32722 
 
 3-15240 
 
 33654 
 
 2-97144 
 
 35608 
 
 2-80833 
 
 24 
 
 37 
 
 29843 
 
 3-35087 
 
 31754 
 
 3-14922 
 
 33686 
 
 2-96858 
 
 35641 
 
 2-80574 
 
 23 
 
 38 
 
 29875 
 
 3-34732 
 
 31786 
 
 3-14605 
 
 33718 
 
 2-96573 
 
 35674 
 
 2-80316 
 
 22 
 
 39 
 
 29906 
 
 3-34377 
 
 31818 
 
 3-14288 
 
 33751 
 
 2-96288 
 
 35707 
 
 2-80059 
 
 21 
 
 40 
 
 29938 
 
 3-34023 
 
 31850 
 
 3-13972 
 
 33783 
 
 2-96004 
 
 35740 
 
 2-79802 
 
 20 
 
 41 
 
 29970 
 
 3-33670 
 
 31882 
 
 3-13656 
 
 33816 
 
 2-95720 
 
 35772 
 
 2-79545 19 
 
 42 
 
 3U001 
 
 3-33317 
 
 31914 
 
 3-13341 
 
 33848 
 
 2-95437 
 
 35805 
 
 2-79289 
 
 18 
 
 43 
 
 30033 
 
 3-32965 
 
 31946 
 
 3-13027 
 
 33881 
 
 2-95155 
 
 35838 
 
 2-79033 17 
 
 44 
 
 30065 
 
 3-32614 
 
 31978 
 
 3-12713 
 
 33913 
 
 2-94872 
 
 35871 
 
 2- 78778' '6 
 
 45 
 
 30097 
 
 3-32264 
 
 32010 
 
 1 1 2400 
 
 33945 
 
 2-94590; 
 
 35904 
 
 2-78323 15 
 
 46 30128 
 
 3-31914 
 
 32042 
 
 3-12087 
 
 33978 
 
 2-94309, 
 
 35937 
 
 2-78269,14 
 
 47 
 
 30160! 3-31565 
 
 32074 
 
 3-11Z75 
 
 34010 
 
 2 .94028' 
 
 35969 
 
 2-78014 13 
 
 48 
 
 30192 3-31216 
 
 32106 
 
 3-11464 
 
 34043 
 
 2-93748 
 
 36002 
 
 2-77761:* 2 
 
 49 
 
 30224 3-30868 
 
 32139 
 
 3-11153 
 
 34075 
 
 2-93468 
 
 36035 
 
 2 -77507] 11 
 
 50 
 
 30255 
 
 3-30521 
 
 32171 
 
 3-10842 
 
 34108 
 
 2-93189 
 
 36068 
 
 2-77254 1 
 
 51 
 
 30287 
 
 3-30174 
 
 32203 
 
 3-10532 
 
 34140 
 
 2-92910 
 
 36101 
 
 2-77002 
 
 9 
 
 52 
 
 30319 3-29829 
 
 32235 
 
 3-10223 
 
 34173 
 
 2-92632; 
 
 36134 
 
 2-76750 
 
 8 
 
 53 
 
 30351 3-29483 
 
 32267 
 
 3-09914 
 
 34205 2-92354 
 
 36167 
 
 2-76498 7 
 
 54 
 
 30382, 3-29139 
 
 32299 
 
 3-99606 
 
 342381 2-92076 
 
 36199 
 
 2-76247 6 
 
 55 
 
 30414 3-28795 
 
 32331 
 
 3-09298 
 
 34270 j 2-91799 
 
 36232 
 
 2-75996 5 
 
 56 
 
 30446 3-28452 
 
 32363 
 
 3-08991 
 
 34303! 2-91523 
 
 36265 
 
 2-75746 ' 4 
 
 57 
 
 30478 3-28109 
 
 32396 
 
 3-08685 
 
 34335 ! 2-91246 
 
 36298 
 
 2-75496 3 
 
 58 
 
 30509 3-27767 
 
 32428 
 
 3-08379 
 
 34368 2-90971! 
 
 36331 
 
 2-7524fi : 2 
 
 59 
 
 30341 3-27426 
 
 32460 
 
 3-08073 
 
 34400; 2-90696, 
 
 36364 
 
 2-74997 1 
 
 60 
 
 30573 3- 27031 
 
 32492 
 
 3-07768 
 
 34433 2-90421' 
 
 36397 
 
 2-7474H 
 
 M 
 
 N. Cot. N. T;in.. 
 
 N. Col. 
 
 N. Tan. j N Cot i N. Tan. 
 
 N. Cot.l 
 
 N. Tan. M_ 
 
 
 73 Decrees. 
 
 72 DesT'-es. j 71 Decrees. 
 
 70 Decrees. 
 
106 
 
 TABLE OF NATURAL TANGENTS. 
 
 
 20 Degrees. 
 
 21 Degrees. 
 
 22 Degrees. 
 
 23 Degrees. 
 
 
 M 
 
 N. Tan. 
 
 N. Cot. 
 
 N.Tan. 
 
 N. Cot. 
 
 N. Tan. 
 
 N. Cot. 
 
 N.Tan. 
 
 N. Cot 
 
 M 
 
 
 
 36397 
 
 2-74748 
 
 38386 
 
 2-60509 
 
 40403 
 
 2-47509 
 
 42447 
 
 2-35585 
 
 60 
 
 1 
 
 36430 
 
 2-74499 
 
 38420 
 
 2-60283 
 
 40436 
 
 2-47302 
 
 42482 
 
 2-35395 
 
 59 
 
 2 
 
 36463 
 
 2-74251 
 
 38453 
 
 2-60057 
 
 40470 
 
 2-47095 
 
 42516 
 
 2-35205 
 
 58 
 
 3 
 
 36496 
 
 2-74004 
 
 38487 
 
 2-59831 
 
 40504 
 
 2-46888 
 
 42551 
 
 2-35015 
 
 57 
 
 4 
 
 36529 
 
 2-73756 
 
 38520 
 
 2-59606 
 
 40538 
 
 2-46682 
 
 42585 
 
 2-34825 
 
 56 
 
 5 
 
 36562 
 
 2 '73509 
 
 38553 
 
 2-59381 
 
 40572 
 
 2-46476 
 
 42619 
 
 2-34636 
 
 55 
 
 6 
 
 36595 
 
 2-73263 
 
 38587 
 
 2-59156 
 
 40606 
 
 2-46270 
 
 42654 
 
 2-34447 
 
 54 
 
 7 
 
 36628 
 
 2-73017 
 
 38620 
 
 2-58932 
 
 40640 
 
 2-46065 
 
 42688J 2-34258 
 
 53 
 
 8 
 
 36661 
 
 2-72771 
 
 38654 
 
 2-58708 
 
 40674 
 
 2-45860 
 
 427221 2-34069 
 
 52 
 
 9 
 
 36694 
 
 2-72526 
 
 38687 
 
 2-58484 
 
 40707 
 
 2-45655 
 
 42757 
 
 2-33881 
 
 51 
 
 10 
 
 36727 
 
 2-72281 
 
 38721 
 
 2-58261 
 
 40741 
 
 2-45451 
 
 42791 
 
 2-33693 
 
 50 
 
 11 
 
 36760 
 
 2-72036 
 
 38754 
 
 2-58038 
 
 40775 
 
 2-45246 
 
 42826 
 
 2-33505 
 
 49 
 
 12 
 
 36793 
 
 2-71792 
 
 38787 
 
 2-57815 
 
 40809 
 
 2-45043 
 
 42860 
 
 2-33317 
 
 48 
 
 13 
 
 36826 
 
 2-71548 
 
 38821 
 
 2-57593 
 
 40843 
 
 2-44839 
 
 42894 
 
 2-33130 
 
 47 
 
 14 
 
 36859 
 
 2-71305 
 
 38854 
 
 2-57371 
 
 40877 
 
 2-44636 
 
 42929 
 
 2-32943 
 
 46 
 
 15 
 
 36892 
 
 2-71062 
 
 38888 
 
 2-57150 
 
 40911 
 
 2-44433 
 
 42963 
 
 3-32756 
 
 45 
 
 16 
 
 36925 
 
 2-70819 
 
 38921 
 
 2-56928 
 
 40945 
 
 2-44230 
 
 42998 
 
 2-32570 
 
 44 
 
 17 
 
 36958 
 
 2-70577 
 
 38955 
 
 2-56707 
 
 40979 
 
 2-44027 
 
 43032 
 
 2-32383 
 
 43 
 
 18 
 
 36991 
 
 2-70335 
 
 38988 
 
 2-56487 
 
 41013 
 
 2-43825 
 
 43067 
 
 2-32197 
 
 42 
 
 19 
 
 37024 
 
 2-70094 
 
 39022 
 
 2-56266 
 
 41047 
 
 2-43623 
 
 43101 
 
 2-32012 
 
 41 
 
 20 
 
 37057 
 
 2-69853 
 
 39055 
 
 2-56046 
 
 41081 
 
 2-43422 
 
 43136 
 
 2-31826 
 
 40 
 
 21 
 
 37090 
 
 2-69612 
 
 39089 
 
 2-55827 
 
 41115 2-43220 
 
 43170 
 
 2-31641 
 
 39 
 
 22 
 
 37123 
 
 2-69371 
 
 39122 
 
 2-55608 
 
 41149 2-43019 
 
 43205 
 
 2-31456 
 
 38 
 
 23 
 
 37157 
 
 2-69131 
 
 39156 
 
 2-55389 
 
 41183 2-42819 
 
 43239 
 
 2-31271 
 
 37 
 
 24 
 
 37190 
 
 2-68892 
 
 39190 
 
 2-55170 
 
 41217 2-42618 
 
 43274 
 
 2-31086 
 
 36 
 
 25 
 
 37223 
 
 2-68653 
 
 39223 
 
 2-54952 
 
 41251] 2-42418 
 
 43308 
 
 2-30902 
 
 35 
 
 26 
 
 37256 
 
 2-68414 
 
 39257 
 
 2-54734 
 
 41285 
 
 2-42218 
 
 43343 
 
 2-30718 
 
 34 
 
 27 
 
 37289 
 
 2-68175 
 
 39290 
 
 2-54516 
 
 41319 
 
 2-42019 
 
 43378 
 
 2-30534 
 
 33 
 
 28 
 
 37322 
 
 2-67937 
 
 39324 
 
 2-54299 
 
 41353 
 
 2-41819 
 
 43412 
 
 2-30351 
 
 32 
 
 29 
 
 37355 
 
 2-67700 
 
 39357 
 
 2-54082 
 
 41387 
 
 2-41620 
 
 43447 
 
 2-30167 
 
 31 
 
 30 
 
 37388 
 
 2-67462 
 
 39391 
 
 2-53865 
 
 41421 
 
 2-41421 
 
 43481 
 
 2-29984 
 
 30 
 
 31 
 
 37422 
 
 2-67225 
 
 39425 
 
 2-53648 
 
 41455 
 
 2-41223 
 
 43516 
 
 2-29801 
 
 29 
 
 32 
 
 37455 
 
 2-66989 
 
 39458 
 
 2-53432 
 
 41430 
 
 2-41025 
 
 43550 
 
 2-29619 
 
 28 
 
 33 
 
 37488 
 
 2-66752 
 
 39492 
 
 2-53217 
 
 41524 
 
 2-40827 
 
 43555 
 
 2-29437 
 
 27 
 
 34 
 
 37521 
 
 2-66516 
 
 39526 
 
 2-53001 
 
 41558 
 
 2-40629 
 
 43620 
 
 2-29254 
 
 26 
 
 35 
 
 37554 
 
 2-66281 
 
 395591 2-52786 
 
 41592 
 
 2-404.32 
 
 43654 
 
 2-29073 
 
 25 
 
 36 
 
 37588 
 
 2-66046 
 
 30593 
 
 2-52571 
 
 41620 
 
 2-40235 
 
 43689 
 
 2-28891 
 
 24 
 
 37 
 
 37621 
 
 2-65811 
 
 39626 
 
 2-52357 
 
 41660 
 
 2-40038 
 
 43724 
 
 2-28710 
 
 23 
 
 38 
 
 37654 
 
 2-65576 
 
 39660 
 
 2-52142 
 
 41694 
 
 2-39841 
 
 43758 
 
 2-28528 
 
 22 
 
 39 
 
 37687 
 
 2-65342 
 
 39694 2-51929 
 
 41728 
 
 2-39645 
 
 43793 
 
 2-28348 
 
 21 
 
 40 
 
 37720 
 
 2-65109 
 
 39727J 2-51715 
 
 41763 
 
 2-39449 
 
 43828 
 
 2-28167 
 
 20 
 
 41 
 
 37754 
 
 2-64875 
 
 39761 2-51502 
 
 41797 
 
 2-39253 
 
 43862 
 
 2-27987 
 
 19 
 
 42 
 
 37787 
 
 2-64642 
 
 39795 2-51289 
 
 41831 
 
 2-39058 
 
 43897 
 
 2-27806 
 
 18 
 
 43 
 
 37820 
 
 2-64410 
 
 39829 2-51076 
 
 41865 
 
 2-38862 
 
 43932 
 
 2-27626 
 
 17 
 
 44 
 
 37853 
 
 2-64177 
 
 39862 
 
 2-50864 
 
 41899 
 
 2-38668 
 
 43966 
 
 2-27447 
 
 16 
 
 45 
 
 37887 
 
 2-63945 
 
 39896 
 
 2-50052 
 
 41933 
 
 2-38473 
 
 44001 
 
 2-27267 
 
 15 
 
 46 
 
 37920 
 
 2-63714 
 
 39930 2-50440 
 
 41968 
 
 2-38279 
 
 44036 
 
 2-27088 
 
 14 
 
 47 
 
 37953 
 
 2-63483 
 
 39963 2-50229 
 
 42002 
 
 2-38084 
 
 44071 
 
 2-26909 
 
 13 
 
 48 
 
 37986 
 
 2-6325-2 
 
 39997. 2-50018 
 
 42036 
 
 2-37891 
 
 441051 2-26730 
 
 12 
 
 49 
 
 38020 
 
 2-63021 
 
 4003 li 2-49807 
 
 42070 
 
 2-37697 
 
 44140 2-26552 
 
 11 
 
 50 
 
 38053 
 
 2-62791 
 
 40065 2-49597 
 
 42105 
 
 2-37504 
 
 44175 2-26374 
 
 10 
 
 51 
 
 38086 
 
 2-62561 
 
 40098! 2-49386 
 
 42139 
 
 2-37311 
 
 44210 2-26196 
 
 9 
 
 52 
 
 38120 
 
 2-62332 
 
 40132; 2-49177 
 
 42173 
 
 2-37118 
 
 44244; 2-26018 
 
 8 
 
 53 
 
 38153 
 
 2-62103 
 
 40166 2-48967 
 
 42207 2-36925 44279 2-25840 
 
 7 
 
 54 
 
 38186 
 
 2-61874 
 
 40200 2-48758 
 
 42242 2-36733J 44314 2-25663 
 
 6 
 
 55 
 
 38220 
 
 2-61646 
 
 40234 2-48549 
 
 42276 2-36541 44349 2-25486 
 
 5 
 
 56 
 
 38253 
 
 2-61418 
 
 40267 2-48340 
 
 423 10J 2-36349 44384 2-25309 
 
 4 
 
 57 
 
 38286 2-61190 
 
 40301 2-48132 
 
 42345; 2-36158 44418 2-25132 
 
 3 
 
 58 
 
 38320! 2-60963 
 
 40335 2-47924J -12379, 2-35967! 44453 2-24956 
 
 2 
 
 9 
 
 38353 2-607.16 
 
 40309. 2-47716)! 42413^ 2-3577(5 44-188 2-24760j 1 
 
 66 
 
 38386 2-60509 40403. 2--17509J 424471 2-355S5 4-W3 2-24604 ] 
 
 M N. Cot.. N.Tan. S". Col. N.Tan. N. O.t. N. Tan. .N. Cot. N. Tan. M 
 
 
 '69 Degrees : 08 Degrees, li 67 Degrees, i. G6 Degrees. 
 
TABLE OF NATURAL TANGENTS. 
 
 107 
 
 
 24 Degrees. [| 25 Degrees, 
 
 26 Degrees, j] 27 Degrees. 
 
 
 M 
 
 N. Tan. 
 
 N. Cot. 
 
 N.Tari. 
 
 N. Cot. 
 
 N.Tan. 
 
 N. Cot. 
 
 N.Tan. N. Cot. 
 
 M 
 
 
 
 44523 
 
 2-24604 
 
 46631 
 
 2-14451 
 
 48773 
 
 2-05030 
 
 50953 
 
 96261 
 
 60 
 
 1 
 
 44558 
 
 2-24428 
 
 46666 
 
 2-14288 
 
 48809 
 
 2-04879 
 
 50989 
 
 96120 
 
 59 
 
 2 
 
 44593 
 
 2-24252 
 
 46702 
 
 2-14125 
 
 48845 
 
 2-04728 
 
 51026 
 
 95979 
 
 58 
 
 3 
 
 44627 
 
 2-24077 
 
 46737 
 
 213963 
 
 48881 
 
 2-04577 
 
 51063 
 
 95838 
 
 57 
 
 4 
 
 44662 
 
 2-23902 
 
 46772 
 
 2-13801 
 
 48917 
 
 2-04426 
 
 51099 
 
 -95698 
 
 56 
 
 5 
 
 44697 
 
 2-23727 
 
 46808 
 
 2-13639 
 
 48953 
 
 2-04276 
 
 51136 
 
 95557 
 
 55 
 
 6 
 
 44732 
 
 2-23553 
 
 46843 
 
 2-13477 
 
 48989 
 
 2-04125 
 
 51173 
 
 95417 
 
 54 
 
 7 
 
 44767 
 
 2-23378 
 
 46879 
 
 2-13316 
 
 49026 
 
 2-03975 
 
 51209 
 
 95277 
 
 53 
 
 8 
 
 44802 
 
 2-23204 
 
 46914 
 
 2-13154 
 
 49062 
 
 2-03825 
 
 51246 
 
 951-37 
 
 52 
 
 9 
 
 44837 
 
 2-23030 
 
 46950 
 
 2-12993 
 
 490981 2-03675 
 
 51283 
 
 94997 
 
 51 
 
 10 
 
 44872 
 
 2-22857 
 
 46985 
 
 2-12832 
 
 49134 
 
 2-03526 
 
 51319 
 
 -94858 
 
 50 
 
 11 
 
 44907 
 
 2-22683 
 
 47021 
 
 2-12671 
 
 49170 
 
 2-03376 
 
 51356 
 
 -94718 
 
 49 
 
 12 
 
 44942 
 
 2-22510 
 
 47056 
 
 2-12511 
 
 49206 
 
 2-03227 
 
 51393 
 
 94579 
 
 48 
 
 13 
 
 44977 
 
 2-22337 
 
 47092 
 
 2-12350 
 
 49242 
 
 2-03078 
 
 51430 
 
 -94440 
 
 47 
 
 14 
 
 45012 
 
 2-22164; 
 
 47128 
 
 2-12190 
 
 49278 
 
 2-02929 
 
 51467 
 
 94301 
 
 46 
 
 15 
 
 45047 
 
 2-21992 | 
 
 47163 
 
 2-12030 
 
 49315 
 
 2-02780 
 
 51503 
 
 94162 
 
 45 
 
 Te 
 
 45082 
 
 2-21819 
 
 47199 
 
 2-11871 
 
 49351 
 
 2-02631 
 
 51540 
 
 94023 
 
 44 
 
 17 
 
 45117 
 
 2-21647 
 
 47234 
 
 2-11711 
 
 43387 
 
 2-02483 
 
 51577 
 
 -9-3885 
 
 43 
 
 18 
 
 45152 
 
 2-21475 
 
 47270 
 
 2-11552 
 
 49423 
 
 2-02335 
 
 51614 
 
 - 93746 
 
 42 
 
 19 
 
 45187 
 
 2-21304' 
 
 47305 
 
 2-11392 
 
 49459 
 
 2-02187 
 
 61651 
 
 93608 
 
 41 
 
 20 
 
 45222 
 
 2-21 132 1 
 
 47341 
 
 2-11233 
 
 49495 
 
 2- 02039 
 
 51688 
 
 93470 
 
 40 
 
 21 
 
 45257 
 
 2-20961 
 
 47377 
 
 2-11075 
 
 49532 
 
 2-01891 
 
 51724 
 
 -93332 
 
 39 
 
 22 
 
 45292 
 
 2-20790i 
 
 47412 
 
 2-10916 
 
 49568 
 
 2-01743 
 
 51761 
 
 93197 
 
 38 
 
 123 
 
 45327 
 
 2-20619 1 
 
 47448 
 
 2-10758 
 
 49604 
 
 2-01596 
 
 51798 
 
 93057 
 
 37 
 
 24 
 
 45362 
 
 2-20449 
 
 47483 
 
 2-10600 
 
 49640 
 
 2-01449 
 
 51835 
 
 92920 
 
 36 
 
 25 
 
 45397 
 
 2-20278 
 
 47519 
 
 2-10441 
 
 49677 
 
 2-01302 
 
 51872 
 
 -92782 
 
 35 
 
 26 
 
 45432 
 
 2-20108! 
 
 47555 
 
 2- 10284 
 
 49713 
 
 2-01155 
 
 51909 
 
 92645 
 
 34 
 
 27 
 
 45467 
 
 2-19938 
 
 47590 
 
 2-00126 
 
 49749 
 
 2-01008 
 
 51946 
 
 92508 
 
 33 
 
 28 
 
 45502 
 
 2-19769 
 
 47626 
 
 2-09969 
 
 49786 
 
 2-00862 
 
 51983 
 
 92371 
 
 32 
 
 29 
 
 45537 
 
 2*- 19599 
 
 47662 
 
 2-09811 
 
 49822 
 
 2-00715 
 
 52020 
 
 92235 
 
 31 
 
 30 
 
 45573 
 
 2-19430 
 
 4769? 
 
 2-09654 
 
 49858 
 
 2-00569 
 
 52057 
 
 92098 
 
 30 
 
 ~3l 
 
 45608 
 
 2-19261 
 
 47733 
 
 2-09498 
 
 ^49894 
 
 2-00423 
 
 52094 
 
 91962 
 
 29~ 
 
 32 
 
 45643 
 
 2-19092 
 
 47769 
 
 2-09341 
 
 49931 
 
 2-00277 
 
 52131 
 
 91825 
 
 28 
 
 33 
 
 45678 
 
 2-18923 
 
 47805 
 
 2-09184 
 
 49967 
 
 2-00131 
 
 52168 
 
 91690 
 
 27 
 
 34 
 
 45713 
 
 2-18755 
 
 47840 
 
 2-09028 
 
 50004 
 
 1-99986 
 
 52205 
 
 91554 
 
 26 
 
 35 
 
 45748 
 
 2-18587 
 
 47876 
 
 2-08872 
 
 50040 
 
 99841 
 
 52242 
 
 91418 
 
 25 
 
 36 
 
 45784 
 
 2-18419 
 
 47912 
 
 2-08716 
 
 50076 
 
 99695 
 
 52279 
 
 91282 
 
 24 
 
 37 
 
 45819 
 
 2-18251 
 
 47948 
 
 2-08560 
 
 50113 
 
 99550 
 
 52316 
 
 91148 
 
 23 
 
 38 
 
 45854 
 
 2-18084 
 
 47984 
 
 2-08405 
 
 50149 
 
 99406 
 
 52353 
 
 1-91017 
 
 22 
 
 39 
 
 45889 
 
 2-17916 
 
 48019 
 
 2-08250 
 
 50185 
 
 99261 
 
 52390 
 
 1-90876 
 
 21 
 
 40 
 
 45924 
 
 2-17749 
 
 48055 
 
 2-08094 
 
 50222 
 
 -99116 
 
 52427 
 
 1-90741 
 
 20 
 
 41 
 
 45960 
 
 2-17582 
 
 48091 
 
 2-07939 
 
 50258 
 
 .98972 
 
 52464 
 
 1-90607 
 
 19 
 
 42 
 
 45995 
 
 2-17416 
 
 48127 
 
 2-07785 
 
 50295 
 
 - 98828 
 
 52501 
 
 1-90472 
 
 18 
 
 43 
 
 46030 
 
 2-17249 
 
 48163 
 
 2-07630 
 
 50331 
 
 -98684 
 
 52538 
 
 1-90337 
 
 17 
 
 44 
 
 46065 
 
 2-17083 
 
 48198 
 
 2-07476 
 
 50368 
 
 -98540 
 
 52575 
 
 1-90203 
 
 16 
 
 45 
 
 46101 
 
 2-16917 
 
 48234 
 
 2-07321 
 
 50404 
 
 98396 
 
 52613 
 
 1-90069 
 
 15 
 
 46 
 
 45136 
 
 2-16751 
 
 48270 
 
 2-07167 
 
 50441 
 
 98253 
 
 52650 
 
 1-89935 
 
 14 
 
 47 
 
 46171 
 
 2-16585 
 
 48306 
 
 2-07014 
 
 50477 
 
 98110 
 
 52687 
 
 1-89801 
 
 13 
 
 48 
 
 46206 
 
 2-16420 
 
 43342 
 
 2-06860 
 
 50514 
 
 97966 
 
 52724 
 
 1-89667 
 
 12 
 
 49 
 
 46242 
 
 2-16255 
 
 48378 
 
 2-06706 
 
 50550 
 
 -97823 
 
 52761 
 
 1-89533 
 
 11 
 
 50 
 
 46277 
 
 2-16090 
 
 48414 
 
 2-06553 
 
 50587 
 
 97680 
 
 52798 
 
 1-891400 
 
 10 
 
 51 
 
 46312 
 
 2-15925 
 
 48450 
 
 2-06400 
 
 50623 
 
 97538 
 
 52836 
 
 1-89266 
 
 9 
 
 52 
 
 46348 
 
 2-15760 
 
 48486 
 
 2-06247 
 
 50660 
 
 97395 
 
 52873 
 
 1-89133 
 
 8 
 
 53 
 
 46383 
 
 2-15596 
 
 48521 
 
 2-06094 
 
 50696 
 
 97253 
 
 52910 
 
 1-89000 
 
 7 
 
 54 
 
 46418 
 
 2-15432 
 
 48557 
 
 2-05942 
 
 50733 
 
 97111 
 
 52947 
 
 1-88867 
 
 6 
 
 55 
 
 46454 
 
 2-15268 
 
 48593 2-05789 
 
 50769 
 
 96969 
 
 52984 
 
 88734 
 
 5 
 
 56 
 
 46489 
 
 2-15104 
 
 48629 2-05637 
 
 50806 96827 
 
 53024 
 
 88602 
 
 4 
 
 57 
 
 46525 
 
 2-14940 
 
 48665^ 2-05485 
 
 50843 -96685 
 
 53059 
 
 88469 
 
 3 
 
 8 
 
 46560 
 
 2-14777 
 
 48701 2-05333 
 
 50879; -96J544 
 
 53096 
 
 8833/1 2 
 
 59 
 
 46595 
 
 2-14614 
 
 48737 2-05182 
 
 50916 -96402 
 
 53134 
 
 88205 
 
 1 
 
 60 
 
 46631 
 
 2-14451 
 
 4S773 2-05030 
 
 50953: -96261 
 
 53171 
 
 1-88073 
 
 
 
 ~M. 
 
 N. Cot. 
 
 N. Tan. 
 
 N. Cot. N. Tan. 
 
 N. Cot N. Tan. ;N. Cot. 
 
 N. Tan. 
 
 M 
 
 
 65 Degr s. 
 
 G4 Decrees. 
 
 63 Degrees. U 62 Degrees. 
 
 
 J5 
 
109 
 
 TABLE OF NATURAL TANGENTS. 
 
 
 28 Degrees. 
 
 29 Degrees. 
 
 30 Degrees. 
 
 31 Degrees. 
 
 
 M 
 
 N. Tan. 
 
 N. Cot. 
 
 N.Tan. 
 
 N. Cot. 
 
 N. Tan. 
 
 N. Cot. 
 
 N. Tan 
 
 N. Cot. 
 
 M 
 
 
 
 53171 
 
 1-88073 
 
 55431 
 
 1-80405 
 
 57735 
 
 1-73205 
 
 60086 
 
 1-66428 
 
 60 
 
 1 
 
 53208 
 
 1-87941 
 
 55469 
 
 1-80281 
 
 57774 
 
 1-73089 
 
 60126 
 
 1-66318 
 
 59 
 
 2 
 
 53246 
 
 1-87809 
 
 55507 
 
 1-80158 
 
 57813 
 
 1-77973 
 
 60165 
 
 1-66209 
 
 58 
 
 3 
 
 53283 
 
 -87677 
 
 55545 
 
 1-80034 
 
 57851 
 
 1-72857 
 
 60205 
 
 1-66099 
 
 57 
 
 4 
 
 53320 
 
 87546 
 
 55583 
 
 1-V9911 
 
 57890 
 
 1-72741 
 
 60245 
 
 1-65990 
 
 56 
 
 5 
 
 53358 
 
 -87415 
 
 55621 
 
 1-79788 
 
 57929 
 
 1-72625 
 
 60284 
 
 1-65881 
 
 55 
 
 6 
 
 53395 
 
 87283 
 
 55659 
 
 -79665 
 
 57968 
 
 1 72509 
 
 60324 
 
 1-65772 
 
 54 
 
 7 
 
 53432 
 
 -87152 
 
 55697 
 
 79542 
 
 58007 
 
 1-72393 
 
 60364 
 
 1-65663 
 
 53 
 
 8 
 
 53470 
 
 1-87021 
 
 55736 
 
 79419 
 
 58046 
 
 1-72278 
 
 60403 
 
 1-65554 
 
 52 
 
 9 
 
 53507 
 
 1-86891 
 
 55774 
 
 79296 
 
 58085 
 
 72163 
 
 60443 
 
 1-65445 
 
 51 
 
 10 
 
 53545 
 
 1-86760 
 
 55812 
 
 79174 
 
 58124 
 
 72047 
 
 60483 
 
 1-95337 
 
 50 
 
 11 
 
 53582 
 
 1-86630 
 
 55850 
 
 79051 
 
 58162 
 
 71932 
 
 60522 
 
 65228 
 
 49 
 
 12 
 
 53620 
 
 1-86499 
 
 55888 
 
 78929 
 
 5820ll -71817 
 
 60562 
 
 65120 
 
 48 
 
 13 
 
 53657 
 
 1-86369 
 
 55926 
 
 78807 
 
 58240 
 
 71702 
 
 60602 
 
 65011U7 
 
 14 
 
 53694 
 
 1-86239 
 
 56964 
 
 78685 
 
 58279 
 
 71588 
 
 60642 
 
 64903 
 
 46 
 
 15 
 
 53732 
 
 1-86109 
 
 56003 
 
 78563 
 
 58318 
 
 71473 
 
 60681| -64795 
 
 45 
 
 16 
 
 53769 
 
 1-85979 
 
 56041 
 
 78441 
 
 58357 
 
 71358 
 
 60721 
 
 64687 
 
 44 
 
 17 
 
 53807 
 
 1-85850 
 
 56079 
 
 78319 
 
 58396 
 
 71244 
 
 60761 
 
 64579 
 
 43 
 
 18 
 
 53844 
 
 1-85720 
 
 56117 
 
 -78198 
 
 58435 
 
 71129 
 
 60801 
 
 64471 
 
 4-2 
 
 19 
 
 53882 
 
 1-75591 
 
 56156 
 
 78077 
 
 58474 
 
 71015 
 
 60841 
 
 64363 
 
 41 
 
 20 
 
 53920 
 
 1-85462 
 
 56194 
 
 77955 
 
 58513 
 
 70901 
 
 60881 
 
 64256 
 
 40 
 
 21 
 
 53957 
 
 1-85333 
 
 56232 
 
 77834 
 
 58552 
 
 70787 
 
 60921 
 
 64148 
 
 39 
 
 22 
 
 53995 
 
 1-85204 
 
 56270 
 
 77713 
 
 58591 
 
 70673 
 
 60960 
 
 64041 38 
 
 2? 
 
 54032 
 
 1-85075 
 
 56309 
 
 77592 
 
 58631 
 
 70560 
 
 61000 
 
 63933137 
 
 24 
 
 54070 
 
 84946 
 
 56347 -77471 
 
 58670 
 
 70446 
 
 61040 
 
 63826 36 
 
 25 
 
 54107 
 
 84818 
 
 56385 -77351 
 
 58709 
 
 70332 
 
 61080 
 
 63719 
 
 35 
 
 26 
 
 54145 
 
 84689 
 
 56424 
 
 77230 
 
 58748 
 
 70219 
 
 61120 
 
 63612 
 
 34 
 
 27 
 
 54183 
 
 84561 
 
 56462 
 
 77110 
 
 58787 
 
 70106 
 
 61160 
 
 63505 
 
 33 
 
 28 
 
 54220 
 
 84433 
 
 56500 -76990 
 
 58826 
 
 79992 
 
 61200 -6339832 
 
 29 
 
 54258 
 
 84305 
 
 56539! -76869 
 
 58865 
 
 69879 
 
 61240 -6329231 
 
 30 
 
 54296 
 
 84177 
 
 56577| -76749 
 
 58904 
 
 69766 
 
 61280 -63185 
 
 30 
 
 ~31 
 
 54333 
 
 84049 
 
 56616 1-76629 
 
 58944 
 
 69653 
 
 61320 -63079 
 
 29 
 
 32 
 
 54371 
 
 83922 
 
 56654 
 
 1-76510 
 
 58983 
 
 69541 
 
 61360 -62972 
 
 28 
 
 33 
 
 54409 
 
 83794 
 
 56693 
 
 1-76390 
 
 59022 
 
 69428 
 
 61400; -62866 
 
 27 
 
 34 
 
 54446 
 
 83667 
 
 56731 -76271 
 
 59061 
 
 69315 
 
 61440 -62760 
 
 26 
 
 35 
 
 54484 
 
 83540 
 
 56769 -76151 
 
 59101 
 
 69203 
 
 61480 -62654 
 
 25 
 
 36 
 
 54522 
 
 83413 
 
 56808 -76032 
 
 59140 
 
 1-69091 
 
 61520 -62548 
 
 24 
 
 37 
 
 54560 
 
 83286 
 
 56846 -75913 
 
 59179 
 
 1-68979 
 
 61561! -62442 
 
 23 
 
 38 
 
 54597 
 
 83159 
 
 56885' -75794 
 
 59218 
 
 1-68866 
 
 61601 
 
 62336 
 
 22 
 
 39 
 
 54635 
 
 83033 
 
 56923i -75675 
 
 59258 
 
 1-68754 
 
 61641 
 
 62230 
 
 21 
 
 40 
 
 54673 
 
 82906 
 
 57962 ! -75556 
 
 59297 
 
 1-68643 
 
 61681 
 
 62125 
 
 20 
 
 41 
 
 54711 
 
 82780 
 
 57000 -75437 
 
 59336 
 
 1-68531 
 
 61721 
 
 62019 
 
 19 
 
 42 
 
 54748 
 
 1-82654 
 
 57039 ' -75319 
 
 59376 
 
 1-68419 
 
 61761 
 
 61914 
 
 18 
 
 43 
 
 54786 
 
 1-82528 
 
 57078 -75200 
 
 59415 
 
 1-6&308 
 
 61801 
 
 61808 
 
 17 
 
 44 
 
 54824 
 
 1-82402 
 
 57116 -75082 
 
 59454 
 
 1-68196 
 
 61842 
 
 61703 
 
 16 
 
 45 
 
 5486.2 
 
 1-82276 
 
 57155 -74964 
 
 59494 
 
 1-68085 
 
 61882 
 
 61598 
 
 15 
 
 46 
 
 54900 
 
 1-82150 
 
 57193 -74846 
 
 59533 
 
 1-67974 
 
 61922 -61493 
 
 14 
 
 47 
 
 54938 
 
 1 82025 
 
 57232 -74728 
 
 59573 
 
 1-67869 
 
 61962 -61388 
 
 13 
 
 48 
 
 54975 
 
 81899 
 
 5727] 1-74610 
 
 59612 
 
 1-67752 
 
 62003' -61283 
 
 12 
 
 49 
 
 55013 
 
 81774 
 
 57309 1-74492 
 
 59651 
 
 1-67641 
 
 62043 -61179 
 
 11 
 
 50 
 
 55051 
 
 81649 
 
 57348 1-74375 
 
 59691 
 
 1-67530 
 
 62083 -61074 
 
 10 
 
 51 
 
 55089 
 
 81524 
 
 57386 1-74257 
 
 59730 
 
 1-67419 
 
 62124 -60970 
 
 9 
 
 52 
 
 55127 
 
 81399 
 
 57425 -74140 
 
 59770 
 
 1-67309 
 
 62164 -60865 
 
 8 
 
 53 
 
 55165 
 
 81274 
 
 57464 -74022 
 
 59309 
 
 1-67198 
 
 62204 -60761 
 
 7 
 
 54 
 
 55203 
 
 1-81150 
 
 57503 -73905 
 
 59849 
 
 1-67088 
 
 62245 -60657 
 
 6 
 
 55 
 
 55241 
 
 1-81025 
 
 57541 -73788 
 
 59888 
 
 1-66978 
 
 62285 -60553 
 
 5 
 
 56 
 
 55279 
 
 1-80901 
 
 57580 -73671 
 
 59928 
 
 1-66867 
 
 62325 -60449 
 
 4 
 
 57 
 
 55317 
 
 1-80777 
 
 5?6l'9 -73555 
 
 59967 
 
 1-66757 
 
 62366 -60345 
 
 3 
 
 58 
 
 55355 
 
 1-80653 
 
 57657 -73438 
 
 60007 
 
 1-66647 
 
 62406 -6024* 
 
 2 
 
 59 
 
 55393 
 
 1-80529 
 
 57696 -73321 
 
 60046 
 
 1-66538 
 
 62446 -60137 
 
 1 
 
 60 
 
 55431 
 
 1 80405 
 
 57735 73205 
 
 60086 
 
 1-66428 
 
 62487 -60033 
 
 
 
 M 
 
 N. Cot. 
 
 N. Tan. 
 
 N. Cot. N.Tan. 
 
 N. Cot. 
 
 N. Tan. 
 
 N. Cot. ' N. Tan. 
 
 M 
 
 
 61 Degrees. 
 
 60 Decrees. 
 
 59 Degrees. 
 
 58 Degrees. 
 
 
TABLE OF NATURAL TANGENTS. 
 
 109 
 
 ! 32 Degrees. 
 
 33 Degrees. 
 
 34 Degrees. 
 
 35 Degrees. 
 
 
 M|N.Tao.j N. Cot. < N.Tan. 
 
 N. Cot. 
 
 N.Tan. 
 
 N. Cot. 
 
 N.Tan. 
 
 N. Cot. 
 
 M 
 
 
 
 62487: 1-60033 64941 
 
 1-53986 
 
 67451 
 
 1-48256 
 
 7U021 
 
 1-42815 
 
 60~ 
 
 1 
 
 62527 1- 59930 j 64982 
 
 1-53888 
 
 67493 
 
 1-48163 
 
 70064 
 
 1-42726 
 
 59 
 
 2 
 
 62568 1-59826 
 
 65023 
 
 1-53791 
 
 67536 
 
 1-48070 
 
 70107 
 
 1-42638 
 
 58 
 
 3 
 
 62608! 1-59723 
 
 65065 
 
 1-53693 
 
 67578 
 
 1-47977 
 
 70151 
 
 1-42550 
 
 57 
 
 4 
 
 62649 1-59620 
 
 65106 
 
 1-53595 
 
 67620 
 
 1-47885 
 
 70194 
 
 1-42462 
 
 56 
 
 5 
 
 62689, 1-59517 
 
 65148 
 
 1-53497 
 
 67663 1-47792 
 
 70238 
 
 1-42374 
 
 55 
 
 6 
 
 62730| 1-59414 
 
 65189 
 
 1-53400 
 
 67705 
 
 1-47699 
 
 70281 
 
 1-42286 
 
 54 
 
 7 
 
 62770 
 
 1-59311 
 
 65231 
 
 1 53302 
 
 67748 
 
 1-47607 
 
 70325 
 
 1-42198 
 
 53 
 
 8 
 
 62811 
 
 1-59203 
 
 65272 
 
 1 53205 
 
 67790 
 
 1-47514 
 
 70368 
 
 1-42110 
 
 52 
 
 9 
 
 62852 1-59105 
 
 65314 
 
 1-53107 
 
 67832 
 
 1-47422 
 
 70412 
 
 1-42022 
 
 51 
 
 10 
 
 62892 
 
 1 59002 
 
 65355 
 
 1-53010 
 
 67875 
 
 1-47330 
 
 70455 
 
 1-41934 
 
 50 
 
 11 
 
 62933 
 
 1-58900 65397 
 
 1-52913 
 
 67917 
 
 1-47238 
 
 70499 
 
 1-41847 
 
 49 
 
 12 
 
 62973 
 
 1 -58797] 65438 
 
 1-52816 
 
 67960 
 
 47146 
 
 70542 
 
 1-41759 
 
 48 
 
 13 
 
 63014 
 
 1-58695 65480 
 
 1-52719 
 
 68002 
 
 47053 
 
 70586 
 
 1-41672 
 
 47 
 
 14 
 
 63055! 1-585931 65521 
 
 52622 
 
 68045 
 
 .46962 
 
 70629 
 
 1-41584 
 
 46 
 
 15 
 
 63U95 1- 58490 j 65563 
 
 52525 
 
 68088 
 
 46870 
 
 70673 
 
 1-41497 
 
 45 
 
 7e 
 
 63136 
 
 1-58388 1 65604 
 
 52429 
 
 68130 
 
 46778 
 
 70717 
 
 1-41409 
 
 44 
 
 17 
 
 63177 
 
 1-58286' 
 
 65646 
 
 52332 
 
 68173 
 
 46686 
 
 70760 
 
 1-41322 
 
 43 
 
 18 
 
 63217 1-58184 
 
 65688 
 
 52235 
 
 68215 
 
 46595 
 
 70804 
 
 1-41235 
 
 42 
 
 19 
 
 63258 
 
 1-58083 
 
 65729 
 
 52139 
 
 68258 
 
 46503 
 
 70848 
 
 1-41148 
 
 41 
 
 20 
 
 63299 
 
 1-57981 
 
 65771 
 
 52043 
 
 68301 
 
 46411 
 
 70891 
 
 1-41061 
 
 40 
 
 21 
 
 63340 
 
 1-57879 
 
 65813 
 
 51946 
 
 68343 
 
 46320 
 
 70935 
 
 1-40974 
 
 39 
 
 22 
 
 63380 
 
 1-57778 
 
 65854 
 
 51850 
 
 68386 
 
 46229 
 
 70979 
 
 1-40887 
 
 38 
 
 23 
 
 63421 
 
 1-57676 
 
 65896 
 
 51754 
 
 68429 
 
 46137 
 
 71023 
 
 1-40800 
 
 37 
 
 24 
 
 63462 
 
 1-57575 1 
 
 65938 
 
 1-51658 
 
 68471 
 
 46046 
 
 71066 
 
 1-40714 
 
 36 
 
 25 
 
 63503 
 
 1-57474 
 
 65980 
 
 1-51562 
 
 68514 
 
 45955 
 
 71110 
 
 1-40627 
 
 35 
 
 26 
 
 63544 
 
 1-57372 
 
 66021 
 
 1-51466 
 
 68557 
 
 45864 
 
 71154 
 
 1-40540 
 
 34 
 
 27 
 
 63584 
 
 1-57271 
 
 66063 
 
 1-51370 
 
 68600 
 
 45773 
 
 71198 
 
 1-40454 
 
 33 
 
 28 
 
 63625 
 
 1-57170 
 
 66105 
 
 1-51275 
 
 68642 
 
 45682 
 
 71242 
 
 1-40368 
 
 32 
 
 29 
 
 63666 
 
 1-570691 
 
 66147 
 
 1-51179 
 
 68685 
 
 45592 
 
 71285 
 
 1-40281 
 
 31 
 
 30 
 
 63707 
 
 1-56969; 
 
 66189 
 
 1-51084 
 
 68728 
 
 45501 
 
 71329 
 
 1-40195 
 
 30 
 
 31 
 
 637481 1-56868 
 
 66230 
 
 1-50988 
 
 68771 
 
 454 10 
 
 71373 
 
 1-40109 
 
 29 
 
 32 
 
 63789| 1-56767 
 
 66272 
 
 1-50893 
 
 68814 
 
 45320 
 
 71417 
 
 1-40022 
 
 28 
 
 33 
 
 63830J 1-56667 
 
 66314 
 
 1-50797 
 
 68857 
 
 45229 
 
 71461 
 
 1-39936 
 
 27 
 
 34 
 
 63871 1-56566 
 
 66356 
 
 50702 
 
 68900 
 
 45139 
 
 71505 
 
 1-39850 
 
 26 
 
 35 
 
 63912 1'56466 
 
 66398 
 
 50607 
 
 68942 
 
 -45048 
 
 71549 
 
 1-39764 
 
 25 
 
 36 
 
 63953 1-56366 
 
 66440 
 
 50512 
 
 68985 
 
 44958 
 
 71593 
 
 1-39679 
 
 24 
 
 37 
 
 63994 
 
 1-56265 
 
 66482 
 
 50417 
 
 69028 
 
 -44868 
 
 71637 
 
 1-39593 
 
 23 
 
 38 
 
 64035 
 
 1-56165 
 
 66524 
 
 50322 
 
 69071 
 
 -44778 
 
 71681 
 
 1-39507 
 
 22 
 
 39 
 
 64076 
 
 1-56065! 66566 
 
 50228 
 
 69114 
 
 44688 
 
 71725 
 
 1-39421 
 
 21 
 
 40 
 
 64117 
 
 1-55966 
 
 66608 
 
 50133 
 
 69157 
 
 44598 
 
 71769 
 
 1-39336 
 
 20 
 
 41 
 
 64158 
 
 1-55866 
 
 66650 
 
 -50038 
 
 69200 
 
 44508 
 
 71813 
 
 1-39250119 
 
 42 
 
 61199 
 
 1-55766 
 
 66692 
 
 1-49944 
 
 69243 
 
 44418 
 
 71857 
 
 1-39165 
 
 18 
 
 43 
 
 64240 
 
 1-55666! 66734 
 
 1-49849 
 
 69286 
 
 44329 
 
 71901 
 
 1-39079 
 
 17 
 
 44 
 
 64281 
 
 1-55567 66776 
 
 1-49755 
 
 69329 
 
 44239 
 
 71946 
 
 1-38994 
 
 16 
 
 45 
 
 64322 
 
 1-55467 
 
 66818 
 
 1-49661 
 
 69372 -44149 
 
 71990 
 
 1-38909 
 
 15 
 
 46 
 
 64363 
 
 55368 66860 
 
 1-49566 
 
 69416 -44060 
 
 72034 
 
 1-38824)14 
 
 47 
 
 64404 
 
 55269, 66902 
 
 1-49472 
 
 69459 -43970 
 
 72078 
 
 1-38738 
 
 13 
 
 48 
 
 64446 
 
 55170 66944 
 
 1-49378 
 
 69502 
 
 43881 
 
 72122 
 
 1-38653 
 
 12 
 
 49 
 
 64487 
 
 -55071 
 
 66986 
 
 1 49284 
 
 69545 
 
 43792 
 
 72166 
 
 1-38568 
 
 11 
 
 50 
 
 64528 
 
 54972 
 
 67028 
 
 1-49190 
 
 69588 -43703 
 
 72211 
 
 1-38484 
 
 10 
 
 51 
 
 64569 
 
 54873 
 
 67071 
 
 1-49097 
 
 69631 -43614 
 
 72255 
 
 1-38399 
 
 9 
 
 52 
 
 64610 -547741 67113 
 
 1-49003 
 
 69675 -43525 
 
 72299 
 
 1-38314 
 
 8 
 
 53 
 
 64652 
 
 54675 67155 
 
 48909 
 
 69718 -43436 
 
 72344 
 
 1-38229 
 
 7 
 
 54 
 
 64693 
 
 54576 67197 
 
 48816 
 
 69761 -43347 
 
 72388 
 
 1-38145 
 
 6 
 
 55 
 
 64734 
 
 1-544781 67239 
 
 48722 
 
 69804J -43258 
 
 72432 
 
 1 38060 
 
 5 
 
 56 
 
 64775 
 
 1-54379; 67282 
 
 48629 
 
 69847 -43169 
 
 72477 
 
 1-37976 
 
 4 
 
 57 
 
 64817 
 
 1-54281 1| 67324 
 
 48536 
 
 69891 -43080 
 
 72521 
 
 1-37891 
 
 3 
 
 58 
 
 64858 
 
 54183 1 67366 
 
 48442 
 
 69934' -42992 
 
 72565 
 
 1-37807 
 
 2 
 
 59 
 
 64899 
 
 54085J 
 
 67409 
 
 -48349 
 
 69977! -42903 
 
 72610 
 
 1-37722 
 
 1 
 
 60 
 
 64941 
 
 53986! 
 
 67451 
 
 48256 
 
 70021 -42815 
 
 72654 
 
 1-37638 
 
 
 
 M 
 
 N. Cot. 
 
 N.Tan. | 
 
 N. Cot. 
 
 N. Tan. 
 
 N. Cot^ N. Tan.. JN. Cot. 
 
 N. Tan. 
 
 M 
 
 
 57 Degree*. 
 
 5i) Degrees. 
 
 55 Degrees, n 54 Degrees. 
 
 
110 
 
 TABLE OF NATURAL TANGENTS. 
 
 
 36 Degrees. 
 
 37 Degrees. 
 
 38 Degrees. 
 
 39 Degrees. 
 
 
 M 
 
 M. Tan. 
 
 N. Cot. 
 
 N. Tan. 
 
 N. Cot. 
 
 N.Tan. 
 
 N. Cot. 
 
 N. Tan. 
 
 N. Cot. 
 
 M 
 
 
 
 72654 
 
 1-37638 
 
 75355 
 
 1-32704 
 
 78129 
 
 1-27994 
 
 80978 
 
 1-23489 
 
 
 
 1 
 
 72699 
 
 1-37554 
 
 75401 
 
 1-32624 
 
 78175 
 
 1-27917 
 
 81027 
 
 1-23416 
 
 9 
 
 2 
 
 72743 
 
 1-37470 
 
 75447 
 
 1-32544 
 
 78222 
 
 1-27841 
 
 81075 
 
 1-23343 
 
 8 
 
 
 72788 
 
 1-37386 
 
 75492 
 
 1-32464 
 
 78269 
 
 1-27764 
 
 81123 
 
 1-23270 
 
 7 
 
 
 
 72832 
 
 1-37302 
 
 75538 
 
 1-32384 
 
 78316 
 
 1-27688 
 
 81171 
 
 1-23196 
 
 56 
 
 5 
 
 72877 
 
 1-37218 
 
 75584 
 
 1-32304 
 
 78363 
 
 1-27611 
 
 81220 
 
 1-23123 
 
 5 
 
 6 
 
 72921 
 
 1-57134 
 
 75629 
 
 1-32224 
 
 78410 
 
 1-27535 
 
 81268 
 
 1-23050 
 
 o4 
 
 7 
 
 72966 
 
 1-37050 
 
 75675 
 
 1-32144 
 
 78457 
 
 1-27458 
 
 81316 
 
 1-22977 
 
 53 
 
 8 
 
 73010 
 
 1-36967 
 
 75721 
 
 1-32064 
 
 78504 
 
 1-27382 
 
 81364 
 
 1-22904 
 
 52 
 
 9 
 
 73055 
 
 1-36883 
 
 75767 
 
 1-31984 
 
 78551 
 
 1-27306 
 
 81413 
 
 1-22831 
 
 51 
 
 10 
 
 73100 
 
 1-36800 
 
 75812 
 
 1-31904 
 
 78598 
 
 1-27230 
 
 81461 
 
 1-22758 
 
 50 
 
 11 
 
 73144 
 
 1-36716 
 
 75858 
 
 1-31825 
 
 78645 
 
 1-27153 
 
 81510 
 
 1-22685 
 
 49 
 
 12 
 
 73189 
 
 1-36633 
 
 75904 
 
 1-31745 
 
 78692 
 
 1-27077 
 
 81558 
 
 1-22612 
 
 48 
 
 13 
 
 73234 
 
 1-36549 
 
 75950 
 
 1-31666 
 
 78739 
 
 1-27001 
 
 81606 
 
 1-22539 
 
 47 
 
 14 
 
 73278 
 
 1*36466 
 
 75996 
 
 1-31586 
 
 78786 
 
 1-26925 
 
 81655 
 
 1-22467 
 
 46 
 
 15 
 
 73323 
 
 1-36383 
 
 76042 
 
 1-31507 
 
 78834 
 
 1-26849 
 
 81703 
 
 1-22394 
 
 45 
 
 16 
 
 ~73368 
 
 1-36300 
 
 76088 
 
 1-31427 
 
 78881 
 
 1-26774 
 
 81752 
 
 1-22321 
 
 44 
 
 17 
 
 73413 
 
 1-36217 
 
 76134 
 
 1-31348 
 
 78928 
 
 1-26698 
 
 81800 
 
 1-22249 
 
 43 
 
 18 
 
 73457 
 
 1-36133 
 
 76180 
 
 1-31269 
 
 78975 
 
 1-26622 
 
 81849 
 
 1-22176 
 
 42 
 
 19 
 
 73502 
 
 1-36051 
 
 76226 
 
 1-31190 
 
 79022 
 
 1-26546 
 
 81898 
 
 1-22104 
 
 41 
 
 20 
 
 73547 
 
 1-35968 
 
 76272 
 
 1-31110 
 
 79070 
 
 1-26471 
 
 81946 
 
 1-22031 
 
 40 
 
 21 
 
 73592 
 
 1-35885 
 
 76318 
 
 1-31031 
 
 79117 
 
 1-26395 
 
 81995 
 
 1-21959 
 
 39 
 
 22 
 
 73637 
 
 1-35802 
 
 76364 
 
 1-30952 
 
 79164 
 
 1-26319 
 
 82044 
 
 1-21886 
 
 38 
 
 23 
 
 73681 
 
 1-35719 
 
 76410 
 
 1-30873 
 
 79212 
 
 1-26244 
 
 82092 
 
 1-21814 
 
 37 
 
 24 
 
 73726 
 
 1-35637 
 
 76456 
 
 1-30795 
 
 79259 
 
 1-26169 
 
 82141 
 
 1-21742 
 
 36 
 
 25 
 
 73771 
 
 1-35554 
 
 76502 
 
 1-30716 
 
 79306 
 
 1-26093 
 
 82190 
 
 1-21670 
 
 35 
 
 26 
 
 73816 
 
 1-35472 
 
 76548 
 
 1-30637 
 
 79354 
 
 1-26018 
 
 82238 
 
 1-21598 
 
 34 
 
 27 
 
 73816 
 
 1-35389 
 
 76594 
 
 1-30558 
 
 79401 
 
 1-25943 
 
 82287 
 
 1-21526 
 
 33 
 
 28 
 
 73906 
 
 1-35307 
 
 76640 
 
 1-30480 
 
 79449 
 
 1-25867 
 
 82336 
 
 1-21454 
 
 32 
 
 29 
 
 73951 
 
 1-35224 
 
 76686 
 
 1-30401 
 
 79496 
 
 1-25792 
 
 82385 
 
 1-21382 
 
 31 
 
 30 
 
 73996 
 
 1-35142 
 
 76733 
 
 1-30323 
 
 79544 
 
 1-25717 
 
 82434 
 
 1-21310 
 
 30 
 
 31 
 
 74041 
 
 1-35060 
 
 76779 
 
 1 30244 
 
 79591 
 
 1-25642 
 
 82483 
 
 1-21238 
 
 29 
 
 32 
 
 74086 
 
 1-34978 
 
 76825 
 
 1-30166 
 
 79639 
 
 1-25567 
 
 82531 
 
 1-21166 
 
 28 
 
 33 
 
 74131 
 
 1-34896 
 
 76871 
 
 1-30087 
 
 79686 
 
 1-25492 
 
 82580 
 
 1-21094 
 
 27 
 
 34 
 
 74176 
 
 1-34814 
 
 76918 
 
 1-30009 
 
 79734 
 
 1-25417 
 
 82629 
 
 1-21023 
 
 26 
 
 35 
 
 74221 
 
 1-34732 
 
 76964 
 
 1-29931 
 
 79781 
 
 1-25343 
 
 82678 
 
 1-2095 
 
 25 
 
 36 
 
 74267 
 
 1-34650 
 
 77010 
 
 1-29853 
 
 79829 
 
 1-25268 
 
 82727 
 
 1-20879 
 
 24 
 
 37 
 
 74312 
 
 1-34568 
 
 77057 
 
 1-29775 
 
 79877 
 
 1-25193 
 
 82.776 
 
 1-20808 
 
 23 
 
 38 
 
 74357 
 
 1-34487 
 
 77103 
 
 1-29696 
 
 79-924 
 
 1-25118 
 
 8282.5 
 
 1-20736 
 
 22 
 
 39 
 
 74402 
 
 1-34405 
 
 77149 
 
 1-29618 
 
 79972 
 
 1-25044 
 
 82874 
 
 1-20665 
 
 21 
 
 40 
 
 74447 
 
 1-34323 
 
 77196 
 
 1-29541 
 
 80020 
 
 1-24969 
 
 82923 
 
 1-20593 
 
 20 
 
 41 
 
 74492 
 
 1-34242 
 
 77242 
 
 1-29463 
 
 80067 
 
 1-24895 
 
 82972 
 
 1-20522 
 
 19 
 
 42 
 
 74538 
 
 1-34160 
 
 77289 
 
 1 29385 
 
 80115 
 
 1-24820 
 
 83022 
 
 1-2045 
 
 18 
 
 43 
 
 74583 
 
 1-34079 
 
 77335 
 
 1-29307 
 
 80163 
 
 1-24746 
 
 83071 
 
 1-2037 
 
 17 
 
 44 
 
 74628 
 
 1-33998 
 
 77382 
 
 1-29229 
 
 802 ll 
 
 1-24672 
 
 83120 
 
 1-20308 
 
 16 
 
 45 
 
 74674 
 
 1-33916 
 
 77428 
 
 1-29152 
 
 80258 
 
 1-24597 
 
 83169 
 
 1-2023 
 
 15 
 
 46 
 
 74719 
 
 1-33835 
 
 77475 
 
 1-29074 
 
 80306 
 
 1-24523 
 
 83218 
 
 1-2016 
 
 14 
 
 47 
 
 74764 
 
 1-33754 
 
 77521 
 
 1-28997 
 
 80354 
 
 1-24449 
 
 83268 
 
 1-2009 
 
 13 
 
 48 
 
 74810 
 
 1-33673 
 
 77568 
 
 1-28919 
 
 80402 
 
 1-24375 
 
 83317 
 
 1-2002 
 
 12 
 
 49 
 
 74855 
 
 1-33592 
 
 77615 
 
 1-28842 
 
 80450 
 
 1-2430 
 
 83366 
 
 1-1995 
 
 11 
 
 50 
 
 74900 
 
 1-3351 
 
 77661 
 
 1-28764 
 
 80498 
 
 1-24227 
 
 83415 
 
 1-1988 
 
 10 
 
 51 
 
 74946 
 
 1-3343 
 
 77708 
 
 1-2868 
 
 80546 
 
 1-24153 
 
 83465 
 
 1-1981 
 
 9 
 
 52 
 
 74991 
 
 1-3334 
 
 77754 
 
 1-2861 
 
 80594 
 
 1-24079 
 
 83514 
 
 1-1974 
 
 8 
 
 53 
 
 75037 
 
 1-3326 
 
 77801 
 
 1-2853 
 
 80642 
 
 1-24005 
 
 8356 
 
 1-19663 
 
 7 
 
 54 
 
 75082 
 
 1-3318 
 
 77848 
 
 1-2845 
 
 80690 
 
 1-2393 
 
 8361 
 
 1-1959 
 
 6 
 
 55 
 
 75128 
 
 1-3310 
 
 77895 
 
 1-2837 
 
 80738 
 
 1-23858 
 
 83662 1-1952 
 
 5 
 
 56 
 
 75174 
 
 1 3302 
 
 77941 
 
 1-2830 
 
 80786 
 
 1-2378 
 
 83712 
 
 1-1945 
 
 4 
 
 57 
 
 75219 
 
 1-3294 
 
 77988 
 
 1-2822 
 
 80834 
 
 1-2371 
 
 83761 
 
 1-1938 
 
 3 
 
 58 
 
 75264 
 
 1-3286 
 
 77035 1-2814 
 
 80882 
 
 1-2363 
 
 83811 1-1931 
 
 2 
 
 59 
 
 7531C 
 
 1-3278 
 
 77082! 1-2807 
 
 80930 
 
 1-2356 
 
 838601 1-1924 
 
 1 
 
 60 
 
 75355 
 
 1-3270 
 
 77129 ' 1-2799 
 
 80978 
 
 1-2349 
 
 83910; 1-1917 
 
 
 
 M 
 
 N. Cot. I N.Tan. 
 
 N. Cot. ; N.Tan. 
 
 N. Cot. 1 N. Tan. 
 
 IN. Cot. 1 N. Tan. 
 
 M 
 
 
 53 Degrees. 
 
 53 Degrees. 
 
 51 Degrees. 
 
 50 Degrees. 
 
 
TABLE OF NATURAL TANGENTS. 
 
 Ill 
 
 
 40 Degrees. 
 
 41 Degrees. 
 
 42 Degrees. 
 
 43 Degrees. 
 
 
 M 
 
 N. Tan. 
 
 N. Cot. 
 
 N. Tan. N. Cot. 
 
 N. Tan. 
 
 N. Cot 
 
 N.Tan. 
 
 N. Cot. 
 
 M 
 
 
 
 83910 
 
 1-19175 
 
 S6929 
 
 1-15037 
 
 90040 
 
 11061 
 
 93252 
 
 1-07237 
 
 60 
 
 1 
 
 83960 
 
 1-19105 
 
 86980 
 
 1-14969 
 
 90093 
 
 10996 
 
 93306 
 
 1 -071741,59 
 
 2 
 
 84009 
 
 1-19035 
 
 87031 
 
 1-14902 
 
 90146 
 
 10931 
 
 93360 
 
 1-07112 
 
 58 
 
 3 
 
 84059 
 
 1-18964 
 
 87082 
 
 1-14834 
 
 90199 
 
 -10867 
 
 93415 
 
 1-07049 
 
 57 
 
 4 
 
 84108 
 
 1-18894 
 
 87133 
 
 1-14767 
 
 90251 
 
 -10802 
 
 93469 
 
 06987 
 
 56 
 
 5 
 
 84158 
 
 1-18824 
 
 87184 
 
 1-14699 
 
 90304 
 
 -10737 
 
 93524 
 
 06925 
 
 55 
 
 6 
 
 84208 
 
 1-18754 
 
 87236 
 
 1-14632 
 
 90357 
 
 10672 
 
 93578 
 
 06862 
 
 54 
 
 7 
 
 84258 
 
 1-18684 
 
 87287 
 
 1-14565 
 
 90410 
 
 10607 
 
 93633 
 
 06800 
 
 53 
 
 8 
 
 84307 
 
 1-18614 
 
 87338 
 
 1-14498 
 
 90463 
 
 10543 
 
 93688 
 
 06738 52 
 
 9 
 
 8435? 
 
 1-18544 
 
 87389 
 
 1-14430 
 
 90516 
 
 10478 
 
 93742 
 
 06676:51 
 
 10 
 
 84407 
 
 1-18474 
 
 87441 
 
 1-14363 
 
 90569 
 
 10414 
 
 93797 
 
 06613 
 
 50 
 
 li 
 
 84457 
 
 1-18404 
 
 87492 
 
 1-14296 
 
 90621 
 
 10349 
 
 93852 
 
 06551 
 
 49 
 
 12 
 
 84507 
 
 1-18334 
 
 87543 
 
 1-14229 
 
 90674 
 
 -10285 
 
 93906 
 
 06489 
 
 48 
 
 13 
 
 84556 
 
 1-18264 
 
 87595 
 
 1-14162 
 
 90727 
 
 10220 
 
 93961 
 
 06427 
 
 47 
 
 14 
 
 84606 
 
 1-18194 
 
 87646 
 
 1-14095 
 
 90781 
 
 10156 
 
 94016 
 
 06365 
 
 46 
 
 15 
 
 84656 
 
 1-18125 
 
 . 87698 
 
 1-14028 
 
 90834 
 
 10091 
 
 94071 
 
 06303 
 
 45 
 
 ~16 
 
 84706 
 
 1-18055 
 
 87749 
 
 1-13961 
 
 90887 
 
 10027 
 
 94125 
 
 06241 
 
 44 
 
 17 
 
 84756 
 
 1-17986 
 
 87801 
 
 1-13894 
 
 90940 
 
 09963 
 
 94180 
 
 06179 
 
 43 
 
 18 
 
 84806 
 
 1-17916 
 
 87852 
 
 1-13828 
 
 90993 
 
 09899 
 
 94235 
 
 06117 
 
 42 
 
 19 
 
 84856 
 
 1-17846 
 
 87904 
 
 1-13761 
 
 91046 
 
 09834 
 
 942pO 
 
 06056 
 
 41 
 
 20 
 
 84906 
 
 1-17777 
 
 87955 
 
 1-13694 
 
 91099 
 
 09770 
 
 94345 
 
 05994 
 
 40 
 
 21 
 
 84956 
 
 1-17708 
 
 88007 
 
 1-13627 
 
 91153 
 
 09706 
 
 94400 
 
 05932 
 
 39 
 
 22 
 
 85006 
 
 1-17638 
 
 88059 
 
 1-13561 
 
 91206 
 
 09642 
 
 94455 
 
 1-05870 
 
 38 
 
 23 
 
 85057 
 
 1-17569 
 
 88110 
 
 1-13494 
 
 91259 
 
 -09578 
 
 94510 
 
 1-05809 
 
 37 
 
 24 
 
 85107 
 
 1-17500 
 
 88162 
 
 1-13428 
 
 91313 
 
 1-09514 
 
 94565 
 
 1-05747 
 
 36 
 
 25 
 
 85157 
 
 1-17430 
 
 88214 
 
 1-13361 
 
 91366 
 
 1-09450 
 
 94620 
 
 1-05685 
 
 35 
 
 26 
 
 85207 
 
 1-17361 
 
 88265 
 
 1-13295 
 
 91419 
 
 1-09386 
 
 94676 
 
 1-0562434 
 
 27 
 
 85257 
 
 1-17292 
 
 88317 
 
 1-13228 
 
 91473 
 
 '1-09322 
 
 94731 
 
 1-05562 
 
 33 
 
 28 
 
 85307 
 
 1-17223 
 
 88369 
 
 1 -13162 
 
 91526 
 
 09258 
 
 94786 
 
 1-05501 
 
 32 
 
 29 
 
 85358 
 
 1-17154 
 
 88421 
 
 1-13096 
 
 91580 
 
 09195 
 
 94841 
 
 05439 
 
 31 
 
 30 
 
 85408 
 
 1-17085 
 
 88473 
 
 1-13029 
 
 91633 
 
 09131 
 
 94896 
 
 05378 
 
 30 
 
 31 
 
 85458 
 
 1-17016 
 
 S8524 
 
 1-12963 
 
 91687 
 
 09067 
 
 94952 
 
 05317 
 
 29 
 
 32 
 
 85509 
 
 1- 16947 
 
 88576 
 
 1-12897 
 
 91740 
 
 09003 
 
 95007 
 
 05255 
 
 28 
 
 33 
 
 85559 
 
 1-16878 
 
 88628 
 
 1-12831 
 
 91794 
 
 08940 
 
 95062 
 
 05194 
 
 27 
 
 34 
 
 85609 
 
 1-16809 
 
 88680 
 
 1-12765 
 
 91847 
 
 08876 
 
 95118 
 
 05133 
 
 26 
 
 35 
 
 85660 
 
 1-16741 
 
 88732 
 
 1-12699 
 
 91901 
 
 08813 
 
 95173 
 
 05072 
 
 25 
 
 36 
 
 85710 
 
 1-16672 
 
 88784 
 
 1-12633 
 
 91955 
 
 08749 
 
 95229 
 
 05010 
 
 24 
 
 37 
 
 85761 
 
 1- 16603 
 
 88836 
 
 1-12567 
 
 92008 
 
 08686 
 
 95284 
 
 04949 
 
 23 
 
 38 
 
 85811 
 
 1- 16535 
 
 88888 
 
 1-12501 
 
 92062 
 
 08622 
 
 95340 
 
 04888 
 
 22 
 
 39 
 
 85862 
 
 1-16466 
 
 88940 
 
 1-12435 
 
 92116 
 
 08559 
 
 95395 
 
 04827 
 
 21 
 
 40 
 
 85912 
 
 1-16398 
 
 88992 
 
 1-12369 
 
 92170 
 
 08496 
 
 95451 
 
 04766 
 
 20 
 
 41 
 
 85963 
 
 1-16329 
 
 89045 
 
 1-12303 
 
 92223 
 
 08432 
 
 95506 
 
 04705 
 
 19 
 
 42 
 
 86014 
 
 1-16261 
 
 89097 
 
 1-12238 
 
 92277 
 
 08369 
 
 95562 
 
 04644 
 
 18 
 
 43 
 
 86064 
 
 1-16192 
 
 89149 
 
 1-12172 
 
 92331 
 
 08306 
 
 95618 
 
 04583; 17 
 
 44 
 
 86115 
 
 1-16124 
 
 89201 
 
 1-12106 
 
 92385 
 
 -08243 
 
 95673 
 
 04522 16 
 
 45 
 
 86166 
 
 1-16056 
 
 89253 1-12041 
 
 92439 
 
 08179 
 
 957291 -04461 
 
 15 
 
 46 
 
 86216 
 
 1-15987 
 
 89306 1-11975 
 
 92493 
 
 08116 
 
 95785 
 
 1-04401 
 
 u" 
 
 47 
 
 86267 
 
 1-15919 
 
 89358 1-11909 
 
 92547 
 
 08053 
 
 95841 
 
 1-04340 13 
 
 48 
 
 86318 
 
 1-15851 
 
 89410 1-11844 
 
 92601 
 
 07990 
 
 95897 
 
 1-04279 12 
 
 49 
 
 86368 1-15783 
 
 89463 1-11778 
 
 92655 
 
 07927 
 
 96952 1-0421811 
 
 50 
 
 86419 
 
 1-15715 
 
 89515 1-11713 
 
 92709 
 
 07864 
 
 96008 1-04158 10 
 
 51 
 
 86470 
 
 1-15647 
 
 89567 
 
 1-11648 
 
 92763 
 
 07801 
 
 96064: 1-04097 
 
 9 
 
 52 
 
 86521 
 
 1-15579 
 
 89620 
 
 1-11582 
 
 92817 
 
 -07738 
 
 96120 1-04036 
 
 3 
 
 53 
 
 86572 
 
 1-15511 
 
 896721 1-11517 
 
 92872 
 
 07676 
 
 96176 1-03976 
 
 7 
 
 54 
 55 
 
 86623 
 86674 
 
 1-15443 
 1-15375 
 
 89725 1-11452 
 89777J 1-11387 
 
 92926 
 92980 
 
 07613 
 1-07550 
 
 96232 1-03915 
 96288 1-03855 
 
 6 
 5 
 
 56 
 
 86725 
 
 1-15308 
 
 89S30 1 1-11321 
 
 93034 
 
 1-07487 
 
 96344 1-03794 
 
 4 
 
 57 
 
 86776 
 
 1-15240 
 
 89883 1-1*1256 
 
 93088 
 
 1-07425 
 
 96400 1-03734 
 
 3 
 
 58 
 
 86827 
 
 1-15172 
 
 89935 1-11191 
 
 93143 
 
 1-07362 
 
 96457 1-03674 
 
 2 
 
 59 
 
 86878 
 
 1-15101 
 
 89988 1-11126 
 
 93197 
 
 1-07299 96513 1-03613 
 
 1 
 
 60 86929 1-15037] 'J0040 1-11061 
 
 93252 
 
 1-07237; 96569 1-03553 
 
 
 
 M 
 
 N. Cot. 1 N.Tan. N. Cot._ N.Tan. 
 
 N. Cot. 
 
 N. Tan. N. Cot. N. Tan. 
 
 
 
 I-TTI 
 
 49 Decrees. '! 48 Degrees. 
 
 47 Degrees. - 4o Degrees. 
 
 
112 
 
 TABLE OF NATURAL TANGENTS. 
 
 
 44 Degrees. | 
 
 
 44 Degrees. 
 
 
 M 
 
 \. Tan. 
 
 N. Cot. M 
 
 M 
 
 N. Tan. 
 
 N. Cot. 
 
 M 
 
 ~0 
 
 96569 
 
 1-03553'eO 
 
 31 
 
 98327 
 
 01702 
 
 29 
 
 I 
 
 96625 
 
 1-03493:59 
 
 32 
 
 98384 
 
 01642 
 
 28 
 
 2 
 
 96681 
 
 1-03433 \58 
 
 33 
 
 98441 
 
 01583 
 
 27 
 
 3 
 
 96738 
 
 1-03372 57 
 
 34 
 
 98499 
 
 01524 
 
 26 
 
 4 
 
 96794 
 
 1-0331256 
 
 35 
 
 98556 
 
 01465 
 
 2& 
 
 5 
 
 96850 
 
 1-0325255 
 
 36 
 
 98613 
 
 01406 
 
 24 
 
 6 
 
 96907 
 
 1-03192'54 
 
 37 
 
 98671 
 
 01347 
 
 23 
 
 7 
 
 96963 
 
 1-0313253 
 
 38 
 
 98728 
 
 01288 
 
 22 
 
 8 
 
 97020 
 
 1-0307252 
 
 39 
 
 98786 
 
 01229 
 
 21 
 
 9 
 
 97076 
 
 1-03012 51 
 
 40 
 
 98843 
 
 01170 
 
 20 
 
 10 
 
 97133 
 
 1-02952 50 
 
 41 
 
 98901 
 
 01112 
 
 19 
 
 11 
 
 97189 
 
 1-0289249 
 
 42 
 
 98958 
 
 01053 
 
 18 
 
 12 
 
 97246 
 
 1-02832 48 
 
 43 
 
 99016 
 
 00994 
 
 17 
 
 13 
 
 97302 
 
 1-02772 47 
 
 44 
 
 99073 
 
 00935 
 
 16 
 
 t . 14 
 
 97359 
 
 1-0271? 46 
 
 45 
 
 99131 
 
 00876 
 
 15 
 
 15 
 
 97416 
 
 1-02653 45 
 
 46 
 
 99189 
 
 1-00818 
 
 14 
 
 16 
 
 97472 
 
 1-02593 44 
 
 47 
 
 99247 
 
 1-00759 
 
 13 
 
 17 
 
 97529 
 
 1-02533 43 
 
 48 
 
 99304 
 
 1-00701 
 
 12 
 
 18 
 
 97586 
 
 1-02474 42 
 
 49 
 
 99362 
 
 00642 
 
 li 
 
 19 
 
 97643 
 
 1-02414 41 
 
 50 
 
 99420 
 
 00583 
 
 Id 
 
 20 
 
 97700 
 
 1-02355 40 
 
 51 
 
 99478 
 
 00525 
 
 9 
 
 21 
 
 97756 
 
 1-02295 39 
 
 52 
 
 99536 
 
 -00467 
 
 a 
 
 22 
 
 97813 
 
 1-02236 38 
 
 53 
 
 99594 
 
 -00408 
 
 7 
 
 23 
 
 97870 
 
 1-02176 37 
 
 54 
 
 99652 
 
 00350 
 
 6 
 
 24 
 
 97927 
 
 1-02117 36 
 
 55 
 
 99710 
 
 -00291 
 
 5 
 
 25 
 
 97984 
 
 1-02057 35 
 
 56 
 
 99768 
 
 -00233 
 
 4 
 
 26 
 
 98041 
 
 1-01998 34 
 
 57 
 
 99826 
 
 00175 
 
 3 
 
 27 
 
 98098 
 
 1-01939 33 
 
 58 
 
 99884 
 
 00116 
 
 2 
 
 28 
 
 98155 
 
 1-01879 32 
 
 5& 
 
 99942 
 
 -00058 
 
 1 
 
 29 
 
 98213 
 
 1-01820 31 
 
 60 
 
 10000 
 
 00000 
 
 
 30 
 
 98270 
 
 1-01761 30 
 
 
 
 
 
 W 
 
 N. Cot 
 
 N. Tan. M 
 
 "M" 
 
 N. Cot 
 
 N.Tan. 
 
 ~M 
 
 
 45 Degrees. 
 
 
 45 Degrees*. 
 
 
14 DAY USE 
 
 RETURN TO DESK FROM WHICH BORROWED 
 
 LOAN DEPT. 
 
 This book is due on the last date stamped below, or 
 
 on the date to which renewed. 
 Renewed books are subject to immediate recall. 
 
 
 LD 21A-60m-3,'65 
 (F2336slO)476B 
 
 General Library 
 University of Calif c 
 Berkeley 
 
 
W3O6235 
 
 TA 
 
 THE UNIVERSITY OF CALIFORNIA LIBRARY