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New plane and solid geometry (1899)

Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 331

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the tetrahedron mentioned in ex. 656. 671. Also of the pyramid mentioned in ex. 667. 672. An edge of a regular octahedron is 1 in. Find the volume 673. A pyramid stands on a square base of edge 1 m ; the lateral edgeof the pyramid is also 1 m. Find the lateral area and volume. 314 ■SOLID GEOMETRY.… … Fig. 1. Fig. 2. Fig. 3. Proof. 1. If any face, ABFE, of the prismatoid P, is a trape-zoid, divide it into two triangles by a diagonal EB.Let V be any point in m; join F to the vertices ofP; then P will be divided into two pyramids (Fig. 2)of bases b, V and vertex V, and also pyramids ofvertex V and…

Geometry

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