Loci of Poncelet triangles in the general closure case

DOI10.1007/s00022-022-00629-3zbMath1486.51013arXiv2108.05430OpenAlexW4214514931MaRDI QIDQ2116828

Dan Reznik, Boris Odehnal, Ronaldo A. Garcia

Publication date: 18 March 2022

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.05430

zbMATH Keywords

ellipseclosurelocusPonceletporism

Mathematics Subject Classification ID

Questions of classical algebraic geometry (51N35) Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.) (68T20) Elementary problems in Euclidean geometries (51M04) Euclidean analytic geometry (51N20)

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Cites Work

• Poncelet's porism: a long story of renewed discoveries. I
• Can the elliptic billiard still surprise us?
• On the circumcenters of triangular orbits in elliptic billiard
• On the incenters of triangular orbits on elliptic billiards
• Poncelet Porisms and Beyond
• A Simple Proof of Poncelet's Theorem (on the Occasion of Its Bicentennial)
• New Properties of Triangular Orbits in Elliptic Billiards
• Elliptic Billiards and Ellipses Associated to the 3-Periodic Orbits
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