A treatise on special or elementary geometry (1877)
Olney, Edward, 1827-1887, Olney, Edward, 1827-1887. Elements of trigonometry, plane and spherical · New York : Sheldon · leaf 242
-CO-B, C-BO-A,C-AO-B, etc., are right, and hence the angles ofthe 8 triangles formed are all right. Also, as AOBis a right angle, AB is a quadrant; as BOC is aright angle, CB is a quadrant, etc. Hence, eachside of every triangle is a quadrant. Now any one triangle may be applied toany other. [Let… … PROPOSITION XV.579, TJieorem*—In an isosceles spherical tria^igle the anglesopposite the equal sides are equal j and, conversely. If two angles ofa spherical triangle are equal, the triangle is isosceles. 222 ELEMENTARY SOLID GEOMETRY. Dem.—Let ABC be an isosceles spherical triangle in which AB =…
Geometry · Trigonometry
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