paper

A projective analogue of Napoleon's and Varignon's theorems

arXiv:1609.04513

Abstract

What do Napoleon's and Varignon's theorems have in common? We claim that they both are examples of immediately regularizing natural polygon iterations in different planar geometries and present a new and analogous result in projective geometry.

7 pages, 7 figures (an important reference and an Acknowledgment section were added)