English

A Generalization of the Brocard Circle

History and Overview 2023-11-21 v1 Metric Geometry

Abstract

In this article, we provide a generalization of the Brocard circle and the Brocard triangles. The generalization arises from considering the Miquel points of two inscribed triangles having a common circumcircle. We also present various properties of the Brocard triangles, which lead to a generalization of the Steiner and Tarry points.

Cite

@article{arxiv.2311.10772,
  title  = {A Generalization of the Brocard Circle},
  author = {Sudharshan K},
  journal= {arXiv preprint arXiv:2311.10772},
  year   = {2023}
}

Comments

9 pages, 4 figures

R2 v1 2026-06-28T13:24:37.052Z