Popplewell, William Charles, 1865- · London, New York [etc.] Longmans, Green and co. · leaf 120
;/>) = cos 6 cos (f> ± sin 6 sin (/> Sin 0 — sin <f> = 2 cosCos 0 -{- cos (f> = 2 cos a cos sin cos n _ i 2 0- 2 0Cos 0 — cos 9 = 2 sin sn - Sin2 0 -j- cos2 0 = i CALCULATIONS OF DISTANCES AND HEIGHTS 103 In any plane triangle, A, B, C (Fig. 92) a : b : c :: sin A : sin B : sin C… … where C is not a right angle, cz _ 02 _j_ £2 — 2ab cos C Solution of Plane Triangles.—Four casesmay arise, as below— (i) Two angles and one side beingknown. FIG. 92. In Fig. 92 this might mean that A, B,and a are krtown. Then C, b, and c may be found by C=i8o— (A + B) sinB b = a • ~~-—Tsm A sin C…
Surveying · Geodesy
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
