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 148
2\ For, the triangle GOII ismeasured by G1IX\0T\ the trian-gle OHI, by HlXlOX: but 0X=0T\ hence, the tw^o triangles takentogether are measured by{GH^-m)x\OT.And, by finding the measures ofthe other triangles, it Avill appearthat the sura of them all, or thewhole polygon, is measured by the sum of… … PROPOSITION IX. THEOREM. The perimeters of regular polygons, having the same number ofsideSj are to each other as the radii of the circumscribedcircles; and also, as the radii of the inscribed circles; andtheir areas are to each oilier as the squares of those radii. Let AB be the side of one…
Geometry · Trigonometry
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