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Invariant center power and elliptic loci of Poncelet triangles

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Publication:2694494
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DOI10.1007/s10883-021-09580-zOpenAlexW3215509187MaRDI QIDQ2694494

Dan Reznik, Mark Helman, Dominique Laurain, Ronaldo A. Garcia

Publication date: 3 April 2023

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.09438


zbMATH Keywords

invariantlocusEuclideandynamicalPonceletporism


Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04)


Related Items (1)

Poncelet triangles: a theory for locus ellipticity




Cites Work

  • Centers of mass of Poncelet polygons, 200 years after
  • Circumcenter of mass and generalized Euler line
  • More about areas and centers of Poncelet polygons
  • Triangle centers as functions
  • Can the elliptic billiard still surprise us?
  • Billiards in ellipses revisited
  • Dan Reznik's identities and more
  • On the circumcenters of triangular orbits in elliptic billiard
  • On the incenters of triangular orbits on elliptic billiards
  • Poncelet Porisms and Beyond
  • Family Ties
  • Elliptic Billiards and Ellipses Associated to the 3-Periodic Orbits
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