Triads of Conics Associated with a Triangle
Metric Geometry
2022-07-21 v3 Computational Geometry
Abstract
We revisit constructions based on triads of conics with foci at pairs of vertices of a reference triangle. We find that their 6 vertices lie on well-known conics, whose type we analyze. We give conditions for these to be circles and/or degenerate. In the latter case, we study the locus of their center.
Cite
@article{arxiv.2112.15232,
title = {Triads of Conics Associated with a Triangle},
author = {Ronaldo Garcia and Liliana Gheorghe and Peter Moses and Dan Reznik},
journal= {arXiv preprint arXiv:2112.15232},
year = {2022}
}
Comments
24 pages, 24 figures, 17 references