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Plane and spherical trigonometry (1887)

Wentworth, G. A. (George Albert), 1835-1906 · Boston, Ginn & company · leaf 166

An illustration from Plane and spherical trigonometry, 1887, leaf 166
os £ (7.cos i (A — i?) sin i c = sin £ (a + &) sin J (7.sin j (J. — B) sin J c = sin i (a — b) cos J C. cos £ (a -f 6) 49 J tan * (.4 - 5) _ sin ^ (a — 5) cot J (7. sin I (a + 5) V 7 cos£(^ + ^) sin J (J. -f i?) 50. i^ J£ 180c i?2. §53. 51. tan2 \ E= tan J (s — a) tan £ (s — b) tan £ (s — c).… … The construction consists of two parts. (a) Lay off from the vertex V& units distance on each edge. (b) Pass through the three extremities of these distancesthree planes perpendicular to one of the edges, as VA. Nowthese three parallel planes will cut out three similar righttriangles. The first…

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