Triads of Conics Associated with a Triangle

12/30/2021

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by   Ronaldo Garcia, et al.

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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.