English

Miquel point and isogonal conjugation

History and Overview 2016-04-26 v1

Abstract

We study the possible positions of the Miquel point in the plane of a given triangle, which Miquel triangles are similar to the given one. We found out that these positions are eleven. We also study the possible positions of the Miquel point in the plane of a given triangle, where among the families of Miquel triangles there are triangles, which are similar to the given triangle. We study which of them are isogonal conjugated.

Keywords

Cite

@article{arxiv.1604.06995,
  title  = {Miquel point and isogonal conjugation},
  author = {Valcho Milchev},
  journal= {arXiv preprint arXiv:1604.06995},
  year   = {2016}
}
R2 v1 2026-06-22T13:39:27.787Z