Smart, Edward Howard · London : Macmillian and Co. · leaf 267
con-current in a Brianchon point, and the tangents from thispoint of concurrence to the conic are the self-correspondinglines of the two sets. The verification of these facts is left asan exercise. Homographic ranges of points and sets of tangents ofthis kind are called ranges and pencils of the… … Let V be a point on any conic, and let VA, VA, etc., cutthe conic in A^, A/, etc. Then A^, B^, C^, ..., A/, B/, C,, ... are homographic rangeson the conic. Construct their self-corresponding points on the 240 PROJECTIVE GEOMETRY conic, and let the lines joining V to these cut the straight line ain…
Geometry, Projective
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
