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 189
endicular to itsbases. But the right prism aBcd-h is divided by the plane BEinto two equal right prisms aBd-h, Bcd-h; for, the basesaBd, Bed, are equal, being halves of the same parallelo-gram, and since the prisms have the common altitude BF,they are equal (p. 5, c.) It is now to be proved that… … namely, the solids aBd-D, eFh-H^ areequivalent. Since ABFF, aBFe, areparallelograms, the sides AB, ae, areeach equal to BF; hence, they areequal to each other; and taking awaythe common part J.e, there remainsAa=Fe. In the same manner it maybe proved that Dd=ffh. To bring about the superposition…
Geometry · Trigonometry
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