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Plane and spherical trigonometry (1887)

Wentworth, G. A. (George Albert), 1835-1906 · Boston, Ginn & company · leaf 155

An illustration from Plane and spherical trigonometry, 1887, leaf 155
= cot d cos £, cos n = cos ra sin h esc c?, and it is evident from the fig-ure that Z=90°-(?tt±n), in which the sign -f- or the sign — is to be taken according as the body and the elevated pole are on the same side of the prime vertical or on opposite sides. In fact, both values of I may be… … § 70. Problem. Given the declination, the right ascension of a star, and the obliquity of the ecliptic, to findthe latitude and the longitude ofthe star. Let M (Fig. 50) be the star,Pbe the pole of the equinoctial,and Q the pole of the ecliptic. Then, on the triangle PMQ, given PQ = e =…

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