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New plane and solid geometry (1899)

Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 136

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, (2) that they subtend equal arcs. 252. The arc AB is bisected by the point M, and MC is a diameter ;prove that chord AC = chord BC. 253. How many degrees in the central angle standing on a third of acircumference? a fourth ? a fifth ? Prop. III.] CHORDS AND TANGENTS. 119 2. CHORDS AND TANGENTS.… … Given two equal circles, M, M; two equal arcs, K, K;and two unequal minor arcs, K > K. To prove that, as lettered in the figure, chords AB = AB,AB > CA. Proof. 1. Draw the radii OA, OB, OA, OB, OC. Then v K= K, .. Z AOB = Z AOB. Prop. II 2. But v OM=OM, .-. OA = OB= OA = OB = OC. 3. ..A OAB ^…

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