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An Analog of the Appollonian Circle on the Lobachevski Plane and on the Sphere

โœ Scribed by V. A. Zalgaller; O. M. Merkulova


Book ID
110299917
Publisher
Springer US
Year
2001
Tongue
English
Weight
258 KB
Volume
104
Category
Article
ISSN
1573-8795

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๐Ÿ“œ SIMILAR VOLUMES


Confocal surfaces and integrable billiar
โœ Alexander P. Veselov ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 917 KB

Billiard problems for the domains on the sphere and hyperbolic space bounded by the corresponding conical sections are investigated. It is shown that these discrete systems are integrable and correspond to the translations on the Jacobi varieties of certain hyperelliptic curves. The explicit formula