Smart, Edward Howard · London : Macmillian and Co. · leaf 130
umber of pairs of points conjugate with respect to the conic.For the point on the line I which is conjugate to P is thepoint where the polar of P meets 1. So also similarly through any point we can draw an infinitenumber of pairs of conjugate lines. It follows from this, or by projection from the… … Fig. 50. VI. The fundamental harmonic property of pole and polarwith respect to the conic, viz.: Any chord of a conic through agiven point is cut ha,rmonically bythe point, the curve and the polarof the point. Any straight line, the join of apoint on it to its pole, and thetangents from the point…
Geometry, Projective
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