Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 93
ity of the respective triangles will give theangles, ABC=FGH, BCA-GHF, ACD = FHI : hence BCDn=GHI, likewise CDE=HIK, &c. Moreover we shall haveAB : FG : : BC : GH : : AC : FH : : CD : HI,&c.; hencethe two polygons have their angles equal and their sides pro-jwrtional ; consequently they are… … BOOK IV. P3 First. Since, by thenature of similar figures,we have AB : FG : :EC : Gil : : CD : HI,&.C. we conclude fromthis series of equal ratiosthat the sum of the ante-cedents AB4-BC-:-CD,«Sec, which makes up the perimeter of the first polygon, is tothe sum of the consequents FG + GII + HI,…
Trigonometry · Geometry
Internet Archive · Wellesley College Library · Public Domain Mark 1.0. Free to use for anything.
