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Projection pencils of quadrics and Ivory’s theorem

✍ Scribed by Á. G. Horváth


Book ID
113014304
Publisher
Springer
Year
2011
Tongue
English
Weight
211 KB
Volume
102
Category
Article
ISSN
0047-2468

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Geometry of integrable billiards and pen
✍ Vladimir Dragović; Milena Radnović 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 362 KB

We study the deep interplay between geometry of quadrics in d-dimensional space and the dynamics of related integrable billiard systems. Various generalizations of Poncelet theorem are reviewed. The corresponding analytic conditions of Cayley's type are derived giving the full description of periodi