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A treatise on levelling, topography, and higher surveying (1876)

Gillespie, W. M. (William Mitchell), 1816-1868, Staley, Cady, b. 1840, ed · New York, D. Appleton and company · leaf 189

An illustration from A treatise on levelling, topography, and higher surveying, 1876, leaf 189
circle passing through those points, the earth being assumedto be a sphere. We have given two sides and the included angle, to findthe remaining parts. By spherical trigonometry we have: tan. J(B + P) = cot.-|A cos.j(AP-AB) cos.i(AP + AB) i/T3 -dn l1ABin,i(AP-AB) tan.KB-P)^cot.iAsin>i;Ap + XBj.… … (252.) Otherwise.—Let fall from B,B 0 perpendicular to A P. Then, tang. AC= tang. A B. cos. P A B. PC = PA-AC. ^ ^ cos. A B . cos. P C cos. A C. sin .A. sin. A B sin. ,PB * sin. A. sin. A P sin. A B P — sm. P B (253.) Peob. 2. Given latitude and longitude of A and B CALCULATING THE SIDES OF THE…

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