Isogonal conjugation in isosceles tetrahedron
History and Overview
2026-01-30 v1 Metric Geometry
Abstract
In this article we investigate the properties of isogonal conjugation in isosceles tetrahedron. Particularly we reveal three hyperbolic paraboloids each of which is formed by pairs of isogonal conjugate points symmetric in the respective bimedian, as well as we prove that the circumsphere of an isosceles tetrahedron is invariant under isogonal conjugation in that tetrahedron.
Cite
@article{arxiv.2601.22042,
title = {Isogonal conjugation in isosceles tetrahedron},
author = {Saro Harutyunyan},
journal= {arXiv preprint arXiv:2601.22042},
year = {2026}
}
Comments
This version corrects several typographical errors, figure rendering issues, and numbering inconsistencies present in the published version (Gazeta Matematic\u{a} Seria A, No. 1-2/2025)