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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 242–251
DOI: https://doi.org/10.17377/semi.2016.13.017 (Mi semr667) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Geometry and topology

An interpretation of Casey’s theorem and of its hyperbolic analogue

A. V. Kostin, N. N. Kostina

Kazan (Volga Region) Federal University, Elabuga Institute, Kazanskaya str., 89, 423604, Elabuga, Russia
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DOI: https://doi.org/10.17377/semi.2016.13.017
Abstract: We obtain interpretations of Casey’s theorem and of its hyperbolic version in a pseudo-Euclidean and in a pseudo-hyperbolic spaces.
Keywords: Casey’s theorem, Ptolemy’s theorem, hyperbolic plane, Laguerre’s transformations.
Received February 10, 2016, published March 21, 2016
Bibliographic databases:
Document Type: Article
UDC: 514.13
MSC: 51M09
Language: Russian
Citation: A. V. Kostin, N. N. Kostina, “An interpretation of Casey’s theorem and of its hyperbolic analogue”, Sib. Èlektron. Mat. Izv., 13 (2016), 242–251
Citation in format AMSBIB
\Bibitem{KosKos16}
\by A.~V.~Kostin, N.~N.~Kostina
\paper An interpretation of Casey’s theorem and of its hyperbolic analogue
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 242--251
\mathnet{http://mi.mathnet.ru/semr667}
\crossref{https://doi.org/10.17377/semi.2016.13.017}
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