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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 190

An illustration from A treatise on levelling, topography, and higher surveying, 1876, leaf 190
in. A B P — sm. P B (253.) Peob. 2. Given latitude and longitude of A and B CALCULATING THE SIDES OF THE TRIANGLES. 169 to find the distance betweenthem and the azimuth fromeach to the other; i. e., to findthe length and direction of thearc of a great circle passingthrough those points. The angle… … COS. j(PA-PB) cos. i(PA + PB) tan. i(B tan A^-cot ,P™-*(rA-PB)A)_cot.^Psm^(pA + pB). B=|-(B + A)+f(B-A).A = i(B + A)-MB-A). i a B = tan-i(PA-PB)sin.i(B + A)2 sin. \ (B — A) This is strictly a case of spherical location, required inplanning a road between two distant points, and in navigatinga…

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