Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 137
lar of a point P with respect to a conic,P is the pole of p toith respect to the same conic. 122 CONIC SECTIONS [Chap.v If P is not on the conic, this follows at once by comparing Theo-rem 13 with Theorem 13. If P is on the conic, it follows immediatelyfrom the definition. Theorem 11. If the polar… … Fig. 59 meeting the conic in two points, Pv P2. If one of the lines PXQ, P2Qis a tangent to the conic, the other is also a tangent (Theorem 13);the line P^ = PXP is then the polar of Q, which proves the theoremunder this hypothesis. If, on the other hand, the lines PXQ,P2Q meetthe conic again in…
Geometry, Projective
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