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 174
= p. 211, Cor. 2.—The radius of curvature in the common parabola 1 varies as the cube of the normal, since normal = (y^ -|- -p-^)^, and r = (normal) 3P^ * Ex. 2. What is the radius ofcurvature of a parabola whoselatus-rectum is 9, at ^ = 3?What are the co-ordinates ofthe centre of curvature ?… … Fig 152. Ex. 3. Find the radius of curvature of the ellipse, and the co-ordi-nates of the centre of curvature. Suggestions. -- =ax -—, and -J- = j5» , (AY H- B^xT —-— ; whence r = —-——-- ; A^y-^ A B^ A^Bi Ai ^ ^ y(AY^-\-Bx-2)A^B* 212, CoR. 1.—The radius of curvature at the extremities of…
Geometry, Analytic · Calculus
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