Elements of geometry and trigonometry. Revised and adapted to the course of mathematical instruction in the United States (1856)
Legendre, A. M. (Adrien Marie), 1752-1833, Davies, Charles, 1798-1876 · New York : A.S. Barnes · leaf 204
les chd willcoincide with CBD^ the edge ha with BA, and the prismchd-p will take the position Bcd-p. From A draw zL7/per-pendicular to the common base of the prisms: then willthe plane BAH be perpendicular to the plane of the com-mon base (b. VI., p. 16). Through a, in the plane BAII^draw cdi… … hase CBD hase chd CB ch\ Now, because of the similar triangles ABII, aBh, and ofthe similar parallelograms AC, ac, we have All : ah :: AB : ah :: CB : ch; hence, multiplying together the corresponding terms, we have hase CBDxAII : hase chd X ah :: CB^ : d^. 200 GEOMETRY. But the solidity of a prism…
Geometry · Trigonometry
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