Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 267
t the point (A, U) may lieon the locus {xy^ - x^yf =a{y- y^f + b{x- x^f (1). This equation is therefore the equation to the requiredtangents. 252 COORDINATE GEOMETRY. It would be found that (1) is equivalent to/^ ,2/ i\ /^^i ^3// A _ f^^i ^ 2/2/1 1 279. To Jind the locus of the middle points of… … This straight line meets the ellipse in points whoseabscissae are given by the equation x^ {mx + cY a- -1. i. e. ^ {am + 6) + lamcx + a{c-b^) = 0 (2). Let the roots of this equation, i.e. the abscissae of Qand H, be x^ and x^, and let F, the middle point of QB, bethe point [h, k). Then, by Arts. 22…
Coordinates · Geometry, Analytic
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