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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 171

An illustration from Elements of geometry and trigonometry, 1835, leaf 171
hence the bases areas the squares of the altitudes ; hence the bases, multipliedby the altitudes, or the cylinders themselves, are as the cube»of the altitudes. Scholium, Let R be the radius of a cylinders base ; H thealtitude : the surface of the base will be ti.R^ (Book V. Prop.Xlli^or. 2.) ; and… … Let tlic circle ABCD be tlicbase of a cone, S the vertex,SO tije altitude, ami SA tlicside : then will its convex sur-lace becqnal toc//T.OA x ^SA. For. in.îeribe in the base ofihe cone any regular polygonABCD. and on this polygon asa base conceive a pyramid tobe constructed havuig S tor its _^,…

Trigonometry · Geometry

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