A Triad of Circles Associated with a Triangle
History and Overview
2023-11-06 v1 Metric Geometry
Abstract
We study some properties of a triad of circles associated with a triangle. Each circle is inside the triangle, tangent to two sides of the triangle, and externally tangent to the circle on the third side as diameter. In particular, we find a nice relation involving the radii of the inner and outer Apollonius circles of the three circles in the triad.
Cite
@article{arxiv.2311.01549,
title = {A Triad of Circles Associated with a Triangle},
author = {Ercole Suppa and Stanley Rabinowitz},
journal= {arXiv preprint arXiv:2311.01549},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2310.12896