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Triads of Conics Associated with a Triangle

Published 30 Dec 2021 in math.MG and cs.CG | (2112.15232v3)

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.

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