Smart, Edward Howard · London : Macmillian and Co. · leaf 93
of conjugate points are apair of conjugate lines. For the polar of each conjugate point passes through theother, and therefore these lines are. conjugate, as each con-tains the pole of the other. § 7. Self-Conjugate or Self-Polar Triangles. Prop. A pair of conjugate points and the pole of the… … Fig. 31. For let A and B be the conjugate points and C the pole ofAB (Fig. 31). Since the polar of C passes through A, the polar of A passes P.G. E 66 PROJECTIVE GEOMETRY through C (§ 3). But it also passes through B, for A and B areconjugate points. Therefore it is BC. Similarly AC is the polar of…
Geometry, Projective
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