Wentworth, G. A. (George Albert), 1835-1906 · Boston, Ginn & company · leaf 171
in M, N, and P. In the spherical triangle MNP, MN=h, MP = 90° - m,jVP = 90° — n are known; and P = x is required. By [47], p. 161, cos hx : \ sin /QO0 _ m\ sin f90° — n\ sin (90° -m) sin (90° -n)Putting % (h + m + n) = s, we obtain cos ix = yj™P>«° + (,-*)! sin(90°-s) cos m cos ?i = Vcos (s — A)… … Fig. 103 Fig. 104 APPLICATIONS 183 Let M and N (Fig. 104) be the places. Then the distanceMN is an arc of the great circle passing through the places.Let P be the pole, ARB the equator. The arcs MR and NSare the latitudes of the places, and the arc RS, or the angleMPN, is the difference of their…
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