Inside Out Library

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 169

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 169
of this hyperbola with a given straightline. 156 PROJECTIVE GEOMETRY. Nothing is changed in the previous construction except thatA and B are the infinite points on the asymptotes. 6. To construct a conic K when three points A, B, C and twotangents a and b are given. Draw again a circle Kf tangent… … Zz?r Fig. 64. Aj B, Cr correspond to A, B, C, then 5 is the axis of collineation;if the corresponding points are A, B, C, then sx will be theaxis of collineation. In both collineations the same conic Kcorresponds to K. But we may also let A, B, C correspondto Ay By C, which will lead to a different…

Geometry, Projective · Geometry, Analytic

Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.

More pictures from An introduction to projective geometry and its applications; an analytic and synthetic treatment

More like this