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 180
cycloid referred toits highest point A, as the origin andhaving a tangent at that point as theaxis of abscissas and the axis of thecycloid for the axis of ordinates.This wiU readily appear by produc-ing the equation under these conditions. Thus in Fig. 157 AD=AE4-ED =CH + FP = CB—HB+FP = arcHPE… … FiG. 158. \/— 2ry^-— y^. Thus we see that M iig. 158 being acycloid whose equation is a: = vers—^ y — v/2r2/ — y-, N is its evolute whose equation is m = vers-i(— n) + ^—-^*— ^^■>referred to A as its origin. This equation is satisfied for none but negative valuesof n, and gives m = 0, litr,…
Geometry, Analytic · Calculus
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