Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 393
the intercept on the axis of x of the line PQ. m Hence, in this case, PQ passes through a fixed point on the tangentat 0. 405. General equation to conies 2^<^ssing through fourgiven points. Let A, B, C, and D be the four points, and let BA andCD meet in 0. Take OABand ODC as the axes, andlet OA… … comes THROUGH FOUR POINTS. 379 Hence 2g = — a (X + X) and c — aX\\ Similarly h — —, , and %f— — c -—y-. On substituting in (1) we havefijULof + 2hxi/ + XXy^ — fxfjL (X + X) x -XX {fx + ix)y + XXfifx = 0 (1), where h = h ^-^ . G This is the required equation, h being a constant as yetundetermined…
Coordinates · Geometry, Analytic
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