A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus (1881)
Olney, Edward, 1827-1887 · New York : Sheldon and Co. · leaf 332
a given right cone with a circular base. SuG.—The function is the convex surface of a cylinder. Using the same notationas in Ex. 1, and letting S represent the function, we have S = 27tyx = (a — x)x. .. X =-la, and S = -3— ; that is, the altitude of the cylinder is i that of the cone ; and the… … 98 APPLICATIONS OF THE DIFFERENTIAL CALCULUS. given fephcre. The axis of the cylinder = f \/3 times radius of sphere. The cylinder is to the sphere as 1: yS. Ex. 5. Eequired the area of the greatest rectangle which can beinscribed in a given circle. The rectangle is a square, and its area = 2r2.…
Geometry, Analytic · Calculus
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