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New plane and solid geometry (1899)

Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 364

An illustration from New plane and solid geometry, 1899, leaf 364
eing circumscribed about,congruent plane A. Why ? 6. .-. 0?1 = 0?i = 6C = OA = (fji = CC. Why ? 7. .. spherical A JO/7 £ .-lOT?, BOC £ 50C,C04 ^ C04. §§ 468, 480 (a) 8. .. A .!/;(/ = A ABC. Ax. 2 Prop. XIX.] THE SPFfERE. 347 Proposition XIX. 482. Theorem. Two triangles on the same sphere, or… … Proof. If the parts are arranged in the same order, thetriangles can be brought into coincidence, as in I,props. I, II. If they are arranged in reverse order, then onetriangle is congruent to the triangle symmetric tothe other. Why? Corollary. Two triliedral angles are either congruent orsymmetric…

Geometry

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