Invariant Center Power and Elliptic Loci of Poncelet Triangles-Reference-Cited by-同舟云学术

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Invariant Center Power and Elliptic Loci of Poncelet Triangles

Published:2021-11-18 Issue: Volume: Page:
ISSN:1079-2724
Container-title:Journal of Dynamical and Control Systems
language:en
Short-container-title:J Dyn Control Syst

Author:

Helman Mark,Laurain Dominique,Garcia Ronaldo,Reznik Dan^ORCID

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering

Link

https://link.springer.com/content/pdf/10.1007/s10883-021-09580-z.pdf

Reference27 articles.

1. Akopyan A., Schwartz r., Tabachnikov S. 2020. Billiards in ellipses revisited. Eur. J. Math. https://doi.org/10.1007/s40879-020-00426-9.

2. Bialy M., Tabachnikov S. 2020. Dan Reznik’s identities and more. Eur. J. Math. https://doi.org/10.1007/s40879-020-00428-7.

3. Chavez-Caliz A. 2020. More about areas and centers of Poncelet polygons. Arnold Math J. https://doi.org/10.1007/s40598-020-00154-8.

4. Daepp U., Gorkin P., Shaffer A., Voss K. 2019. Finding ellipses: what Blaschke products, Poncelet’s theorem, and the numerical range know about each other. MAA Press/AMS.

5. Dragović V., Radnović M. Poncelet porisms and beyond: integrable billiards, hyperelliptic Jacobians and pencils of quadrics frontiers in mathematics. Basel: Springer; 2011.

Cited by 5 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. The Wrought Iron Beauty of Poncelet Loci;Lecture Notes on Data Engineering and Communications Technologies;2022-08-13

2. Circumparabolas in Chapple’s Porism;Lecture Notes on Data Engineering and Communications Technologies;2022-08-13

3. Loci of Poncelet triangles in the general closure case;Journal of Geometry;2022-02-25

4. Poncelet triangles: a theory for locus ellipticity;Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry;2022-01-03

5. Parabola-Inscribed Poncelet Polygons Derived from the Bicentric Family;KoG;2022

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