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Plane and spherical trigonometry (1887)

Wentworth, G. A. (George Albert), 1835-1906 · Boston, Ginn & company · leaf 145

An illustration from Plane and spherical trigonometry, 1887, leaf 145
the angleAOB = x made by the projec-tions on the horizon.The planes of the angles of inclination AOA1 and BOBproduced intersect in the line OC, which is perpendicular tothe horizontal plane (Greom. § 475). From 0 as a centre describe a sphere, and let its surfacecut the edges of the trihedral angle… … R Fig. 44. cos -J- x = Vcos s cos (s — h) sec m sec n, where J (m + n -f- h) = s. APPLICATIONS. 137 § 62. Problem. To find the distance between two places on the earths surface{regarded as spherical), given the latitudes of the places andthe difference of their longitudes. Let M and N (Fig. 45) be…

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