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 120
ologous angles,ABG^ FGIIj are equal, and the sides AB, BG^ proportionalto FG, Gil, that is, AB : FG :: BG : Gil (d. 1).Wherefore, the triangles ABG, FGII, have an angle in eache(|ual, and the adjacent sides proportional: hence, they aresimilar (p. 20); consequently, the angle BGA is equal toOIIF.… … 116 GEOMETllY. BC : Gil :: CD : HI-,Lence, AC : FH : : CD : HI. The angle ACD^ we already know, is equal to Fill]hence, the triangles ACD, FIII^ are similar (i\20). In tkegame manner, it may be shown that all the remaining tri-angles are similar, whatever be the number of sides in thepol^gons…
Geometry · Trigonometry
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