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 186
ircle PP -will change its position. Theenvelope of PP is required. Let CP =r, and AP = r. Let P be designat-ed as (m, n), P as (m, n), and P as {yn, n). The equation of the locus PP whose envelope is i-equired is y - - n ;= 156 PROPERTIES OF PLANE LOCI. —; 77(0; — m) (1). But by reason of the… … Fig. 169. find the equation of the given locus P P to be ny -\- mx = r2 (4). Again, if we let the distance between the centres of the circles AC be repre-sented by a, we have the relation between n and m in the equation ?i2 4- (m — ay = r2 (5). The problem then is to find the envelope of (4), when…
Geometry, Analytic · Calculus
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