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 331
Fig. 25. Ex. 2. To find the axis of the maximum cone which can be inscribedin a given sphere. 771 … Sugs.—Let AmB be the semicircle which, re-volved upon A B, generates the sphere, and Aa& thetriangle which generates the cone. Let AO=r,A&=::ic, anda&=:2/- Then V = inr2/2x=i7rx2(2r—a), —2 since a6 =2/^ = A6 X6B=£c(2r — x). .•.a; = |r,or the altitude of the cone is f of the diameter…
Geometry, Analytic · Calculus
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