Parabola-Inscribed Poncelet Polygons Derived from the Bicentric Family
arXiv:2111.00979
Abstract
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.
arXiv comment20 pages, 17 figures, 2 tables