Pascal's Hexagon Theorem implies a Butterfly
Theorem in the Complex Projective Plane
Greg Markowsky
October 26, 2009
1 Introduction
Some time ago I attempted to prove the following for my own entertainment.
Butter
y Theorem. Let ab be a chord of a circle with midpoint m. Suppose
rs and uv are two other chords that pass through m, as shown below. Let p
and q be the intersections of rv and fs with ab. Then pm = qm.
Much