MGNov 1, 2021
Parabola-Inscribed Poncelet Polygons Derived from the Bicentric FamilyFilipe Bellio, Ronaldo Garcia, Dan Reznik
We study loci and properties of a Parabola-inscribed family of Poncelet polygons whose caustic is a focus-centered circle. This family is the polar image of a special case of the bicentric family with respect to its circumcircle. We describe closure conditions, curious loci, and new conserved quantities.