vix.ing · top · new · best · stats · spec

A Generalization of the Brocard Circle

2023/11/15 by K, Sudharshan
#FOS: Mathematics #History and Overview (math.HO) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2311.10772

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.

Related