A New Lemoine-Type Circle Construction
arXiv:2604.03054
Abstract
This paper presents a new Lemoine-type construction arising from a configuration of six concyclic points. We prove the concyclicity result, establish a converse theorem, and relate the resulting circle to previously known Lemoine circles, in particular the circle introduced by Q. T. Bui. We also note that the resulting circle does not belong to the family of Tucker circles.