English

A remark on Chapple-Euler Theorem in non Euclidean geometry

Metric Geometry 2021-01-06 v1

Abstract

In non-Euclidean geometry, there are several known correspondings to Chapple-Euler Theorem. This remark shows that those results yield expressions corredponding to the well-known formula d=R(R2r)d=\sqrt{R(R-2r)}.

Keywords

Cite

@article{arxiv.2101.01554,
  title  = {A remark on Chapple-Euler Theorem in non Euclidean geometry},
  author = {Takeo Noda and Shin-ichi Yasutomi},
  journal= {arXiv preprint arXiv:2101.01554},
  year   = {2021}
}
R2 v1 2026-06-23T21:47:56.950Z