New plane and spherical trigonometry, surveying, and navigation (1903)
Wentworth, G. A. (George Albert), 1835-1906 · Boston : Ginn & Company · leaf 267
b \ = sin c cos 6(1 ) \ sin c cos 6 / = sin c cos b (1 — cot c tan 6). By [40], cot c tan 6 = cos A. .-. 1 — cot c tan 6=1 — cos A By [16], =2 sin2* A .;. sin (c — 6) = 2 sin2 * ^1 cosl) sin c. 42. If, in a right spherical triangle, p denotes the arc of the greatcircle passing through the vertex of… … (i) In the triangle BCA, by Napiers Rules, a) COS B : .-. tan a ■ tan a cot c.cos B cote In the triangle CBD, by Napiers Rules, cos B = tan BD cot BC = tan m cot a. tanm.-. tan a = cosB (2) Multiply (1) by (2), tan2a = ^ x —FJ v ; J w cosjB cote = tan m tan c. (ii) In the triangle CJ3D, by Napiers…
Trigonometry · Surveying · Navigation
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