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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

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 123
atical Collections): The locus oj a point whose distances from a fixed point and afixed 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., if… … Fig. 42. 2. From Pappus metrical definition a number of propertiesof conies may be derived. Given a conic K and its foci F and FuFigs. 42 and 43, according as we take for K an ellipse or an hy- THEORY OF CONICS. in perbola. Both curves are symmetrical with respect to both axes./CD he ratios I ) are…

Geometry, Projective · Geometry, Analytic

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