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 123
matical Collections): The locus of a point whose distances from a fixed point and afi-xed straight line (not passing through the fixed point) have a con-stant ratio is a conic. The fixed point is the focus, the fixed linethe corresponding directrix. CD If, in Fig. 40, K does not intersect r, i.e.,… … Fig. 42 2. From Pappus metrical definition a number of propertiesof conies may be derived. Given a conic K and its foci F and F^,Figs. 42 and 43, according as we take for K an ellipse or an hy- THEORY OF CONICS. perbola. Both curves are symmetrical with respect to both axes. The ratios ( ) are…
Geometry, Projective · Geometry, Analytic
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