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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 226

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 226
draw rays through B. On each of theserays the pencil of circles cuts out an involution whose double- CIRCULAR CUBICS. 213 points are points of the cubic. These points are, of course, alsothe points of tangency of circles of the pencil. Hence, to findthe points where a ray g through B cuts the… … the product of a pencil of circles with coincident limiting pointsand a pencil of diameters. As X and X are equally distant fromm, the asymptote is parallel to m at a distance to the left of mequal to BA^ {BA^l. m for the sake of symmetry.) V. Cuspidal Cubic. > In this case three of the four…

Geometry, Projective · Geometry, Analytic

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