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New plane and solid geometry (1899)

Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 366

An illustration from New plane and solid geometry, 1899, leaf 366
wo face angles equal to has two sides equal to eacheach other, the opposite dihe- other, the opposite angles aredral angles are equal. equal. The proof is almost identicalwith that of I, prop. Ill, andhence is left for the student. Prop. XXL] THE SPUE UK. 349 Proposition XXI. 484. Theorem. Two… … (a) Given A ABC, ABC, mutually equilateral, the sides beingarranged in the same order ; also A ACX symmetricto A ABC. To prove that A ABC = A ABC, A ABC is symmetric toA ACX. Proof. 1. Place A ACX as in the figure ; draw BX. Then Z BXC = Z CBX, and Z AXB = Z XBA. Prop. XX, cor. 2 2. .\ZAXC =…

Geometry

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