Wentworth, G. A. (George Albert), 1835-1906 · Boston, Ginn & company · leaf 155
§ 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 =… … Fig. 50. required QM=90C APPLICATIONS. 147 In this case, also, two sides and the included angle are given.Draw MSA.PQ, and meeting it produced at S, and letPII=n. By Napiers Rules, sin r = tan n tan d,sin u = cos {e -f- n) cos MS,sin d = cos n cos MS,sin (<? -f- w) = tan v tan Jffl,sin n = tanr…
Trigonometry · Surveying · Navigation
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.