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 214
ght of the cone,and the limit of their suifnces, is the convex surface ofthe circumscribed cone. But the convex surface of eachnew pyramid is equal to the perimeter of the base multi-plied by half the slant height (b. VIT., p. 4) ; hence, theconvex sarface of the cone is eqnal to the circuwference… … The convex surface of lite frusi/m of a cone is equal to itsslant heijht, muUijjlied hij half the sum of the circumferencesof its bases. Let BIA-DE be a frustum of a cone: tlien will,convex surfacc=.4/JxJ(c//-c. OA-Vcirc. CD.) For, inscribe in the bases oftlie frustum two regular poly-gons of tlie…
Geometry · Trigonometry
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