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Billiards in ellipses revisited

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اقرأ أكثر حفظ في قائمتي
  • المؤلفون: Akopyan, Arseniy; Schwartz, Richard; Tabachnikov, Serge
  • المصدر:
    Akopyan A, Schwartz R, Tabachnikov S. Billiards in ellipses revisited. European Journal of Mathematics . 2022;8(4):1313-1327. doi: 10.1007/s40879-020-00426-9
  • نوع التسجيلة:
    article in journal/newspaper
  • اللغة:
    English
  • معلومة اضافية
    • بيانات النشر:
      Springer Nature
    • الموضوع:
      2022
    • Collection:
      IST Austria Research Explorer (Institute of Science and Technology)
    • نبذة مختصرة :
      We prove some recent experimental observations of Dan Reznik concerning periodic billiard orbits in ellipses. For example, the sum of cosines of the angles of a periodic billiard polygon remains constant in the 1-parameter family of such polygons (that exist due to the Poncelet porism). In our proofs, we use geometric and complex analytic methods.
    • Relation:
      info:eu-repo/semantics/altIdentifier/issn/2199-675X; info:eu-repo/semantics/altIdentifier/issn/2199-6768; info:eu-repo/semantics/altIdentifier/arxiv/2001.02934; info:eu-repo/grantAgreement/EC/H2020/788183; https://research-explorer.ista.ac.at/record/8538
    • الدخول الالكتروني :
      https://research-explorer.ista.ac.at/record/8538
    • Rights:
      info:eu-repo/semantics/openAccess
    • الرقم المعرف:
      edsbas.13043AB0