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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

An illustration from 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, leaf 332
se revo-lution about AS as an axis generates the parabo-loid. Let AS ==^ a the axis of the paraboloid,oS = X, the altitude of the cone, and ao = y theradius of the base of the cone. The result isX = ia. Ex. 9. Required the maximum para-bola which can be cut from a right coneWith a circular base,… … Fig. 28. C B : AX : S B, or CX : 26 : : a; : v/a^ -f 62 ;2hx whence CX = —p, letting S = Va^ + ^^ ^o^

Geometry, Analytic · Calculus

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