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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 168

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 168
ion is y^ to the polar equation. SuG.—The polar equation with the pole at the origin is r(See Ex, 11, 193,) X -, by passing cos 0(1 — 2 cos^ 0) ■^♦»- SUCTION VL Eate of Curvature. 197• ®EF.—The Curvature of a plane curve is its rate ofdeviation from a tangent, and is measured by the subtenses of… … pendicular to the tangents, be the subtenses which measure the curvature of thearcs of the respective circles ; and we shall have curvature o/ M N : curvature ofmn :: TS : TS. That curve is said to have the greatest curvature which de-viates most rapidly from its tangent; thus, in circles,the…

Geometry, Analytic · Calculus

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