arXiv:2111.00979
Parabola-Inscribed Poncelet Polygons Derived from the Bicentric Family
Parabola-Inscribed Poncelet Polygons Derived from the Bicentric Family
著者: Filipe Bellio, Ronaldo Garcia, Dan Reznik
分類: math.MG, cs.GR, cs.RO, math.DS
原文アブストラクト
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.