Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 371
corollary 1 of prop. XVI. 717. What is meant by the spherical excess of a spherical decagon ?What is the spherical excess, in degrees, of a triangle whose angles are75°, 90°, 100°? 718. What is the spherical excess, in radians, of a triangle whoseangles are 80°, 90°, 100°? Also of a triangle whose… … B Given T, a spherical triangle, with angles a, b, c. To prove that T = a lime whose angle is \ (a + b -f c — st. Z). Proof. 1. Let A, B, C = limes of A a, b, c, respectively (inthe figure they are AA, BB, CC), and S= surfaceof sphere. 2. A ABC and ABC are mutually equilateral, forAC + CA =…
Geometry
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