Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 183
Fig. 73. Take any secant PiN intersecting the conic at N and M,and let (xa, y^) and (xs, ys) be the unknown coordinates of Nand M. The equations of the tangents at N and M are,respectively, by [34], § 76, Ax.,x + By,y + G (x + x,) + F (y + y,) + C = 0, (1) Ax,x + By,y + G (x + X3) + F (y + y,) + C… … Fig. 74. The coordinates of R, the point of intersection of thesetangents, satisfy both of these equations and hence satisfytheir differenceA(x2-x3)x + B(y2-y3)y + G(x2-X3) + F(y2-y3) = 0. (3) This equation contains the unknown coordinates (xg, y^)and (xg, y3),but does not contain the given…
Geometry, Analytic
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