An introduction to projective geometry and its applications; an analytic and synthetic treatment (1905)
Emch, Arnold, b. 1871 · New York, J. Wiley & sons; London, Chapman & Hall, limited · leaf 125
ertices ofthe curves. 112 PROJECTIVE GEOMETRY. The second part of this theorem results by taking A in oneof the vertices. In case of an ellipse we have then r+r, r r in case of an hyperbola r_r —r— -d a 3. Given a conic K, Fig. 44, and its foci F and Fv Takeany point P in the plane of K and… … and PRi (see Fig. 41, § 34), an involution of rays at P is obtainedin which PF and PFf are the double-rays, and PR, PR^ therectangular pair. PR and PR± are consequently the bisectorsof the angles formed by PF and PFV In the polar involutionaround P, the tangents PU and PV from P to K are the…
Geometry, Projective · Geometry, Analytic
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