Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 41
Place the axes with the origin at one of the points, andthe X-axis coincident with the line joining the two points.Let the distance OA (Fig. 22)between the two points be rep-resented by a. Then the coor-dinates of the two points are(0, 0) and (a, 0). We cantranslate into an algebraic equa-tion the… … In Fig. 22,and Equating, OP = Vx2 + AP = V(z - a)2 4- f. ~Vx2 -f- y2 = V(# — a)2 + yl. By [i]By [i] Ch. Ill, § 15] LOCI 23 Squaring and reducing, we have, as the equation of thedesired locus, Here the final result does not express so clearly as in theprevious cases that it is simply a translation…
Geometry, Analytic
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