English

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

Metric Geometry 2016-09-21 v2 History and Overview

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.

Keywords

Cite

@article{arxiv.1609.04513,
  title  = {A projective analogue of Napoleon's and Varignon's theorems},
  author = {Quang-Nhat Le},
  journal= {arXiv preprint arXiv:1609.04513},
  year   = {2016}
}

Comments

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