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 136
allels EI, GE, we have HI : HE :: HE : HG; hence, S7 : HE : : HE : HG : but in the right-angled triangle GHE, the square of HEis to the square of HG as the segment EF is to the seg-ment EG (p. 11, c. 3), or as J/ is to iV; hence, iTT : he : : 21 : K But IIE=AB; therefore, the square described upon… … In the given poly-gon, draw the diago-nals A C, AD; at thepoint F make the angleGFII^BA C, and at thepoint G^ the angle FGH=ABO, the lines i^i^ Gil will intersect each other in II, and the triangle FGHwill be similar to AUG (p. 18). In the same manner uponFII, homologous to A (7, describe the…
Geometry · Trigonometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
