Affiliation:
1. ENS-Lyon
2. Universidade Federal de Goiás, Instituto de Matemática e Estatística
3. Data Science Consulting
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.
Publisher
Croatian Society for Geometry and Graphics
Subject
General Earth and Planetary Sciences,General Environmental Science
Reference27 articles.
1. Helman, M., Laurain, D., Garcia, R., Reznik, D., Invariant center power and loci of Poncelet triangles, J. Dyn. Control Syst. (2021), https://doi.org/10.1007/s10883-021-09580-z
2. Zaslavsky, A., Private communication, 2021.
3. Wolfram, S., Mathematica, Version 10.0, 2019.
4. Weisstein, E. W., CRC concise encyclopedia of mathematics (2nd edition), Boca Raton, FL: Chapman and Hall/CRC, 2002, https://doi.org/10.1201/9781420035223
5. Skutin, A., On rotation of an isogonal point, J. Classical Geom. 2 (2013), 66-67.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Exploring the Steiner-Soddy Porism;Lecture Notes on Data Engineering and Communications Technologies;2022-08-13