A New Lemoine-Type Circle
Metric Geometry
2026-04-06 v1
Abstract
This paper presents a new Lemoine-type circle defined by a six-point configuration satisfying a cocyclicity criterion. We prove the result, establish a converse theorem, and relate the new circle to previously known Lemoine circles, in particular the one introduced by Q.T. Bui. We show that the new circle does not belong to the family of Tucker circles.
Cite
@article{arxiv.2604.03054,
title = {A New Lemoine-Type Circle},
author = {Miłosz Płatek},
journal= {arXiv preprint arXiv:2604.03054},
year = {2026}
}