Centers of mass of Poncelet polygons, 200 years after

DOI10.1007/s00283-016-9622-9zbMath1351.01013arXiv1607.04766OpenAlexW2963749715MaRDI QIDQ317016

Sergei Tabachnikov, Richard Evan Schwartz

Publication date: 30 September 2016

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.04766

zbMATH Keywords

centres of massPoncelet polygonsWeill's theorem

Mathematics Subject Classification ID

History of mathematics in the 19th century (01A55) History of geometry (51-03)

Related Items (14)

More about areas and centers of Poncelet polygons ⋮ Fifty new invariants of \(N\)-periodics in the elliptic billiard ⋮ Loci of 3-periodics in an Elliptic Billiard: why so many ellipses? ⋮ Poncelet triangles: a theory for locus ellipticity ⋮ Invariant center power and elliptic loci of Poncelet triangles ⋮ Elliptic Billiards and Ellipses Associated to the 3-Periodic Orbits ⋮ Projective Configuration Theorems: Old Wine into New Wineskins ⋮ Can the elliptic billiard still surprise us? ⋮ On the circumcenters of triangular orbits in elliptic billiard ⋮ Kasner meets Poncelet ⋮ Intriguing invariants of centers of ellipse-inscribed triangles ⋮ On partial isometries with circular numerical range ⋮ The talented Mr. inversive triangle in the elliptic billiard ⋮ New Properties of Triangular Orbits in Elliptic Billiards

Cites Work

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• Elementary surprises in projective geometry
• Poncelet's closure theorem
• On Cayley's explicit solution to Poncelet's porism
• Poncelet theorems
• On the incenters of triangular orbits on elliptic billiards
• Classical Algebraic Geometry
• Bicentennial of the Great Poncelet Theorem (1813–2013): Current advances
• Poncelet Porisms and Beyond

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