Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 395
ugh the four points A, B, C, and Dis therefore {y + Sx-5){6x-y + 9) = \{4:y + 7x-5){5x-3y + l) (1). If this conic pass through the point E, the equation (1) must besatisfied by the values x = 5 and y = &. We thus have X = V- ^^^i on substitution in (1), the requiredequation is 223a;2 - 38xy… … THE CONIC LM = R~. 381 Let the four straight lines form the sides of the quadri-lateral ABCD. Let BA and CD meet in 0, and take OABand ODC as the axes of x and y, and let the equations tothe other two sides BG and DA be l-^x + 7n^y -1=0, and l^x + m^y -1 = 0. Let the equation to the straight line…
Coordinates · Geometry, Analytic
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