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 126
d hy PU and PV are therefore alsobisected by PR and PR^. Hence the theorem: THEORY OF CONICS. 113 The angles formed by the tangents {real) from a point to a conicare bisected by the bisectors of the rays joining this point to thefoci; or these tangents form equal angles with the focal rays… … Fig. 45. 4. If in Figs. 42 and 43 F^A is produced and AB made equalto AF {F^B = 2a, the major axis), then BF±AC (tangent at ^),hence BC=FC. As OC \\F.^B = ^F^B, we have the theorems- The locus of the reflected images of a focus on all tangentsof an ellipse or an hyperbola is a circle having the…
Geometry, Projective · Geometry, Analytic
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