Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 311
P meets the asymptotes in the points Q and R. Prove thatthe equation to the locus of the centre of the circle circumscribingthe triangle CQB is 4 {a^x^ - b^) = (a^ + b^f. 12. A series of hyperbolas is drawn having a common transverseaxis of length 2a. Prove that the locus of a point P on each… … Let P be any point on the hyperbola, whose equationreferred to its axes is ,2 ^ .(1). a 52 Draw PH parallel to one asymptote CL to meet theother CK in ZT, and let CH and HP be h and k respec-tively. Then h and k are the coordinates of P referred tothe asymptotes. Let a be the semi-angle between the…
Coordinates · Geometry, Analytic
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