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 213
ases are as the squares of their radii(b. v., p. 13); and the cylinders being similar, the radii oftheir bases are to each other as their altitudes (i). 2);hence, the bases are as the squares of the altitudes; there-fore, the bases multiplied by the altitudes, or the cylindersthemselv^es, are as… … TKOrOSITION III. TIIEOKEM. TJie convex surface of a cone is equal to the circumference of its base, mullqdicd bij half the slant lieijlit. Let tlic circle A BCD be the base of a cone. S: thevertex, aSO the altitude, and >SA the slant height: thenwill the convex surface be equal to circ. OAx^^SA.…
Geometry · Trigonometry
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