Original scientific paper

https://doi.org/10.31896/k.26.1

Parabola-Inscribed Poncelet Polygons Derived from the Bicentric Family

Filipe Bellio orcid.org/0000-0003-4059-9292 ; ENS, Lyon, France
Ronaldo Garcia orcid.org/0000-0001-8876-6956 ; Institute of Mathematics and Statistics of the Federal University of Goiás, Goiás, Brazil
Dan Reznik orcid.org/0000-0002-0542-6014 ; Data Science Consulting, Rio De Janeiro, Brazil

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.

Keywords

Poncelet; closure; porism; parabola; bicentric; conservation; invariants

Hrčak ID:

288114

URI

https://hrcak.srce.hr/288114

Publication date:

28.12.2022.

Article data in other languages: croatian

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