t line. Cor. 2. A special case of the preceding corollars^ is.—The straight line which joins two points P and Qis the polar of the intersection of the polars of Pand Q. 62. A chord of a parabola is divided harmonically byany point on it and the polar of that point. Let {x,y) be the pole P; then yy… … In combining (1) with the equation of the parabola,{x, y) must be the point which is common to chordand parabola, i.e., must be ^ ov B; and therefore rmust be PA or PB. Similarly in combining (1) with the equation of thepolar, r must be PQ. Combining (1) with the equation of the parabolay- = 4:ax,…
Geometry, Analytic
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