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 228
ice will be expressed by 4^x7?^, and its solidity by4-Xi?~Xi7?, or J-rxytl If the diameter be denoted hj D, 3 3 we shall have R=\D, and R =\D : hence, the solidity ofthe sphere may be expressed by 4^XiZ>-icxZ>l PKOPOSITION XV. THEOEEM. The surface of a sphere is to tlte ichole surface of the… … circumscribed square; if the semi-circle PMQ and the half squarePADQ are at the same time madeto revolve about the diameter PQ^the semicircle Avill generate thesphere, while the half square willgenerate the cylinder circumscribedabout that sphere. The altitude AD of the cylinderis equal to the…
Geometry · Trigonometry
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