Smart, Edward Howard · London : Macmillian and Co. · leaf 203
he circle has an infinite radius, and thusbecomes a straight line. It is easily shown that this line is the directrix. For ifTP, TP are the tangents, SY, SY the focal perpendiculars onthem, Y and Y lie on the tangent at the vertex (Fig. 92). But SYTY is a rectangle and ST is bisected by YY. T… … Fig. 92. § 10. Gaskins Theorem. The circumcircle of a triangle self-conjugate with respectto an ellipse cuts the director circle orthogonally. In Fig. 93, let TRR be a self-con jugate triangle, and let RRcut the conic in Q, Q. Let V be the middle point of QQ.Then CVT is a straight line and CV. CT =…
Geometry, Projective
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