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

TL;DR

This paper generalizes the classical Butterfly Theorem to the complex projective plane, expanding its applicability beyond Euclidean geometry.

Contribution

It introduces a generalized version of the Butterfly Theorem within the complex projective plane framework.

Findings

The theorem holds in the complex projective plane.

The generalization connects Euclidean and projective geometries.

Provides new insights into geometric configurations in complex spaces.

Abstract

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