A hyperbolic proof of Pascal's Theorem

TL;DR

This paper presents a straightforward proof of Pascal's Theorem and its generalization by M"obius, utilizing hyperbolic geometry to offer new geometric insights.

Contribution

It introduces a novel hyperbolic geometric approach to proving Pascal's Theorem and extends it through M"obius's generalization.

Findings

Proof of Pascal's Theorem using hyperbolic geometry

Generalization of Pascal's Theorem by M"obius

Simplification of geometric proofs through hyperbolic methods

Abstract

We provide a simple proof of Pascal's Theorem on cyclic hexagons, as well as a generalization by M\"obius, using hyperbolic geometry.