Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 135
heconic, the points of intersection ofthe tangents to the conic at all thepairs of points which are collinearwith P are on a line, which also con-tains the harmonic conjugates of Pwith respect to these pairs of points. Theorem 13. Ifp is a line in theplane of a conic, hut not tangent tothe conic,… … Fig. 58 Proof. Let Pv P2 and Pz, Pi be two pairs of points on the conic whichare collinear with P, and let pv p„ be the tangents to the conic at Pv P2respectively (fig. 58). If Dv D2 are the points (P^) (P2P3) and (/^(P 7^) §44] POLAR SYSTEM 121 respectively, the line PXP2 passes through, the…
Geometry, Projective
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