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 155
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 … of the polygons be continually bisected, and correspondingpolygons formed, the perimeter of each new polygon willapproach the circumference of the circumscribed circle, andat the limit (p. 12, s. 2), we shall have circ. CA : cur. OB : : CA : OB. Again, the areas of the inscribed polygons are to…
Geometry · Trigonometry
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