Mathematical Tables (Paperback)

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1830 Excerpt: ...tower 130 feet in height the angle subtended by a line joining two objects A and B on the plane below was found by the sextant to be 64 10'; the depression of the object A was 6 20', and that of B, 8 46'; required the distance of each object from the bottom of the tower; also the bearing of the object B from it, supposing A to lie S.E. by S..gE., and B to be situated between south and west?--Ans. Distance of A, 1171.28 feet. Distance of B, 842.99 feet. Bearing of B from the tower S. 250 22' 54" W., or S.S.W.W. nearly. 34. From an elevated station A the depression of a distant object B was observed to be 1 6', and the elevation of another object C, 1 3CC; also the angle subtended by the straight line BC, 97 36'; required the corresponding horizontal angle?--Ans. 97 34' 30." 35. The distance between two stations B and C, on a declivity, is 220 yards. At B the oblique angle ABC between C and an object A on the top of the hill was found by a sexant to be 77 8', and at C the angle ACB between B and A 62 18'; also at C the elevation of the station B was found to be 8 32', and that of the object A 32 12'; required the horizontal distances of the object from the stations, and its height above each of them?--Ans. Distance from C, 279.1 yards. Height above it, 175.7 yards. Distance from B, 263.1 yards. Height above it, 143.1 yards. 36. From a station on the surface of the earth the apparent elevation of the summit of a mountain was observed to be 2 7'; and, again, from the summit of the mountain the apparent depression of the station was found to be 2 24' 10"; also the arch intercepted on a great circle of the earth, between the station and the point immediately under the summit, had previously been computed at 22.064 miles; required the true height of...