3 citations · 8 across the 11 of their papers we have counts for
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math.MG2021
Poncelet Triangles: a Theory for Locus Ellipticity
Mark Helman, Dominique Laurain, Dan Reznik +1
We present a theory which predicts if the locus of a triangle center over certain Poncelet triangle families is a conic or not. We consider families interscribed in (i) the confoca…
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…