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 143
PROPOSiTiox V. proble:^lTo inscribe in a given circle^ a regular hexagon. Let 0 be the centre, and OB the radius of the givencircle. Beginning at any point, asB, apply the radius BO, sixtimes as a chord to the circum-ference, and we shall form theregular hexagon BCDEFA (p.4). Ilence, to inscribe a… … Cor. 1 If tlie vertices of the alternate angles be joined BOOK y 139 bj tlie lines AC^ OE, EA^ there will be inscribed in thecircle an equilateral triangle ACE, since each of its angleswill be measured by one-sixth of four right angles, or one-third of two (b. l, p. 25, c. 5). Cor. 2. If we draw…
Geometry · Trigonometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
