Pascal's Hexagon Theorem implies a Butterfly Theorem in the Complex Projective Plane

2009/10/26 by Greg Markowsky, Markowsky, Greg
Mathematics · #FOS: Mathematics #General Mathematics (math.GM) #math.GM

paper · pdf · doi:10.48550/arxiv.0910.4792

arxiv created 2009/10/26 · arxiv updated 2009/12/01

Abstract

This paper proves a generalization of the Butterfly Theorem, a classical Euclidean result, which is valid in the complex projective plane.

Related

• Two generalizations of the Butterfly Theorem
• A hyperbolic proof of Pascal's Theorem
• Variations on Pascal's Theorem
• An Invariant of Algebraic Curves from the Pascal Theorem
• Illumination of Pascal's Hexagrammum and Octagrammum Mysticum