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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 121

An illustration from Elements of geometry and trigonometry. Revised and adapted to the course of mathematical instruction in the United States, 1856, leaf 121
polygons have their angles equal each to each,and their sides proj^ortional; consequently, they are similar. rEOrOSITION xxvii. theoeem. The ^;eri?7ie^£7S of similar polygons are to each other as theirhomologous sides: and the j^olygons are to each other as Uiesquaies described on tJiese sides. Let… … BOOK lY. 117 CD^ &c., T\-liicli makes up the perimeter of the first poly-gon, is to the sum of the consequents FG+GII-VIU^ &;c.,which makes up the perimeter of the second po]3gon, aaany one antecedent is to its consequent (i3. n., r. 10); thatis, as AB to FG^ or as any other two homologous…

Geometry · Trigonometry

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