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New plane and solid geometry (1899)

Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 313

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T, a truncated pyramid ; ABCXYZ, a frustum of the pyramid V-ABC;VV, the altitude of the pyramid ; ABC, XYZ, the lower and upperbases of the frustum ; XX , the altitude of the frustum. 296 SOLID GEOMETRY. [Bk. VII. Proposition VI. 402. Theorem. Parallel transverse sections of a pyrami-dal space are… … Given P, a pyramidal space with vertex V, cut by twoparallel planes, B, B, making transverse sections ABC = S, ABC = S, respectively; VXA. B, VX _L B. To prove that (1) S~ S, (2) S:S= VX2: VX2. Proof. 1. v the sides of S are II to the sides of S, VI, prop. XXIV .*. VA: VA= VB: VB = and so on for…

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