Rotation indices related to Poncelet's closure theorem

DOI10.1515/umcsmath-2015-0003zbMath1312.51005OpenAlexW836685194MaRDI QIDQ2017587

Horst Martini, Witold Mozgawa, Waldemar Cieślak

Publication date: 23 March 2015

Published in: Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/82dffd81b339231988943074c2808a771686e861

zbMATH Keywords

Poncelet's closure theorembar billiardsEuler's triangle formulaPoncelet's porism property

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Elementary problems in Euclidean geometries (51M04) Curves in Euclidean and related spaces (53A04) Euclidean analytic geometry (51N20)

Related Items (1)

In search of a measure in Poncelet's porism

Cites Work

• Unnamed Item
• On Poncelet's maps
• Poncelet's closure theorem
• Variational aspects of Poncelet's theorem
• On the rotation index of bar billiards and Poncelet's porism
• The Poncelet annuli
• A Theorem About Zig-Zags Between Two Circles
• The Poncelet grid

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