Universal measure for Poncelet-type theorems

DOI10.1090/proc/13838zbMath1398.53005arXiv1610.00276OpenAlexW2964335580MaRDI QIDQ4683530

Vladimir Yu. Protasov, Evgeny A. Avksentyev

Publication date: 21 September 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.00276

zbMATH Keywords

invariant measurequadriczigzag theoremPoncelet theoremEmch theorempencil of circles

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Curves in Euclidean and related spaces (53A04) Projective analytic geometry (51N15)

Cites Work

• Generalized closing theorems
• Poncelet-type problems, an elementary approach
• Poncelet theorems
• A universal measure for a pencil of conics and the Great Poncelet Theorem
• The Great Emch Closure Theorem and a combinatorial proof of Poncelet's Theorem
• Poncelet Porisms and Beyond
• A Simple Proof of Poncelet's Theorem (on the Occasion of Its Bicentennial)
• A Theorem About Zig-Zags Between Two Circles
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