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 183
: be, hence, AB : ab : : BC : be; we might likewise have BC : be :: CD : cd, and so on. Hence, the polygons ABODE, abcde have theirangles e<[nal, each to each, and their sides, taken in thesame order, proportional; hence, they are similar (b. iv., D. 1). Cor. 1. Let SABCDE,S-XYZ, be two… … BOOK VII, 179 For, the polygons ABCDE^ ahccle^ being similar, theirsurfaces are as the squares of the homologous sides AB^ah; that is, B. iv., P. 27), ABODE : alcde : : ^07 : ab.but, AB : ah .: SA : Sa ; hence, ABODE : ahcde : : SA : Sa, For the same reason, XYZ : xyz : : SX : Sx.But since ahc and…
Geometry · Trigonometry
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