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math.MG2021
Invariant Center Power and Elliptic Loci of Poncelet Triangles
Mark Helman, Dominique Laurain, Ronaldo Garcia +1
We study center power with respect to circles derived from Poncelet 3-periodics (triangles) in a generic pair of ellipses as well as loci of their triangle centers. We show that (i…
math.MG2020
Intriguing Invariants of Centers of Ellipse-Inscribed Triangles
Mark Helman, Ronaldo Garcia, Dan Reznik
We describe invariants of centers of ellipse-inscribed triangle families with two vertices fixed to the ellipse boundary and a third one which sweeps it. We prove that: (i) if a tr…