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Elements of geometry and trigonometry (1835)

Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 170

An illustration from Elements of geometry and trigonometry, 1835, leaf 170
ecome equalto circ. CA (Book V. Prop. VIII. Cor. 2.), and the convex sur-face of the prism will coincide witii the convex surface of thecylindei*. But the convex surface of the prism is equal to theperimeter of its base multiplied by II, whatever be the numberof sides : hence, the convex surface of… … Let CA be the radius of thebase of* tlie cyhnder, and IIihe altitude. Let the circlewhose radius is CA be repre-sented by area CA, it is to beproved that the solidity of thecylinder is equal io areaCK x H.Inscribe in the circle any regu-lar polygon BDEFGA, and con-struct on this polygon a…

Trigonometry · Geometry

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