English

When Euler (circle) meets Poncelet (Porism)

Metric Geometry 2020-11-05 v1

Abstract

We describe all triangles that shares the same circumcircle and Euler circle. Although this two circles do not form a poristic pair of circles, we find a poristic circle "in-between" that enable to solve this problem using Poncelet porism.

Keywords

Cite

@article{arxiv.2011.01988,
  title  = {When Euler (circle) meets Poncelet (Porism)},
  author = {Liliana Gabriela Gheorghe},
  journal= {arXiv preprint arXiv:2011.01988},
  year   = {2020}
}
R2 v1 2026-06-23T19:53:55.501Z