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 215
e of a cone, OA the radius of itsbase, and let the area of the base be designated by areaOA; then will, solidity=area OA X ^SO. Inscribe in the base of thecone any regular polygon ^7?Zy^/^,and join the vertices A^ B, C,&lc.,with the vertex /S of the cone:then will there be inscribed inthe cone… … BOOK YIII. 211 Let the arcs be bisected and the number of sidesof the polygon be continually increased: the limit of thepolygons will be the area OA^ and the limit of the pyra-mids will be the cone Avhose vertex is S: hence, ilie solidity of the cone is equal to its base multiplied hij a third of…
Geometry · Trigonometry
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