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 154
osingthat what is true of such a polygon is also true of itslimit, the circle. Indeed, the circle is but a regular poly-gon of an infinite number of sides. TKOPOSITION XIII. THEOKEM. The circumferences of circles are to each other as tlieir radii^and the areas are to each other as tlie squares of… … Inscribe within the circles two regular polygons of thesame number of sides. Then, whatever be the number ofsides, their perimeters will be to each other as the radiiCA and Oi> (p. 9). Now, i: the arcs subtended by the sides 150 GEOMETKY
Geometry · Trigonometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
