paper

Triads of Conics Associated with a Triangle

arXiv:2112.15232

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.

24 pages, 24 figures, 17 references