English

A One-Line Proof of Leversha's "Quartet of Isogonal Conjugates" Theorem

History and Overview 2021-05-05 v1 Combinatorics

Abstract

We give a short and insightful proof of Gerry Leversha's elegant theorem regarding the isogonal conjugates of each of the vertices of a non-cyclic quadrilateral with respect to the triangle formed by the other three. It uses the Maple package RENE.txt, available from . http://www.math.rutgers.edu/~zeilberg/tokhniot/RENE.txt

Keywords

Cite

@article{arxiv.2105.01621,
  title  = {A One-Line Proof of Leversha's "Quartet of Isogonal Conjugates" Theorem},
  author = {Shalosh B. Ekhad},
  journal= {arXiv preprint arXiv:2105.01621},
  year   = {2021}
}

Comments

1 and a half pages. Exclusively published in the Personal Journal of Shalosh B. Ekhad and this arxiv