Inside Out Library

A first course in projective geometry (1913)

Smart, Edward Howard · London : Macmillian and Co. · leaf 271

An illustration from A first course in projective geometry, 1913, leaf 271
Fig. 122. It should be noticed that if the conic is a rectangular hyper-bola, the asymptotes are at right angles, and the cross-axis isa diameter of the circle of construction of § 4. Figs. 122 and 123 illustrate the first two of thesecases. In these figures V and V are the vertices of two… … FiG. 123. § 7. We conclude this chapter with a theorem of which§ 5 (h), Chap. XIV., is a particular case. The envelope of the joins of corresponding points of twohomographic. ranges on a conic is a conic having double con-tact with the given conic. Let A, B, ... A, B, ... be the homographic ranges…

Geometry, Projective

Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.

More pictures from A first course in projective geometry

More like this