Parabola-Inscribed Poncelet Polygons Derived from the Bicentric Family

11/01/2021

∙

by   Filipe Bellio, et al.

∙

0

∙

share

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.