Osgood, William F. (William Fogg), 1864-1943, Graustein, William Caspar, 1888-1941, joint author · New York, The Macmillan company · leaf 88
is the locus of P. We have yet to describe the locus, independently of thecoordinate system, with reference merely to the original tri-angle. _ Produce the base, in the direction from A to 0, to thepoint C, doubling its length. Then the locus of P is a circle,whose center is at C and whose radius… … Fig. 2 [PP12-PP22=C, (3) \PP<?-PP? = C. Take the mid-point of thesegment PiP2 as origin andthe axis of x along PiP2.The coordinates of Px and P2can be written as (—a, 0), (a, 0) ; those of P, as (x, y). By Ch. I, § 3, PP,2 = (* + fc)2+ 2,2, Pp22= (a. _ ay + y2. Then the equations (3), expressed…
Geometry, Analytic
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