English

Triangles with Vertices Equidistant to a Pedal Triangle

Metric Geometry 2020-12-11 v1

Abstract

In this paper, we present a synthetic solution to a geometric open problem involving the radical axis of two strangely defined circumcircles. The solution encapsulates two generalizations, one of which uses a powerful projective result relating isogonal conjugation and polarity with respect to circumconics.

Keywords

Cite

@article{arxiv.2012.05485,
  title  = {Triangles with Vertices Equidistant to a Pedal Triangle},
  author = {Xuming Liang and Ivan Zelich},
  journal= {arXiv preprint arXiv:2012.05485},
  year   = {2020}
}

Comments

13 pages, 6 figures

R2 v1 2026-06-23T20:51:51.967Z