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New plane and solid geometry (1899)

Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 375

An illustration from New plane and solid geometry, 1899, leaf 375
hose angles are 70°,80°, 90°, on a sphere of diameter 20 in. ? 728. Show that a trirectangular triangle is its own polar. 729. The locus of points on a sphere, from which great-circle arcsperpendicular to the arms of an angle are equal, is the great-circle arcbisecting that angle. 358 SOLID… … Given two solids, S, S, lying between parallel planes,M, N, and such that the two sections A, A\ or B, B\ , made by any plane Q, or R, , are equal, i.e. A = AB = B\ To prove that s=sr Proof. 1. Let K, K be two segments of S, S, lying betweenthe sections A and B, and A and B; let the alti-tude of K,…

Geometry

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