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 178
sin2 20 + Sa^ cos2 20 3a2^cos 20 cos 20 a23r ^ ♦» SECTION YIL Evolutes and Involutes. 222. Def.—An Mvollite of a curve is the locus of the centreof curvature. The primary curve is called the In/colute, III.—If M N be a plane curve, andthe centre of curvature, C, be deter-mined for any point, P ;… … N X EVOLUTES AND INVOLUTES. 149 223, J^rob,—Given the equation of a plane curve, to Jind the equa-tion of its evolute. m = X Solution.—Let y =f{x) be the equation of the given curve, as M N Fig. 154.Now the co-ordinates of the centre of the osculatory circle are the co-ordinates ofthe evolute.…
Geometry, Analytic · Calculus
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