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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 5, Pages 1115–1127 (Mi smj2481)  
This article is cited in 5 scientific papers (total in 5 papers)

The chord length of a hypercycle in a hyperbolic plane of positive curvature

L. N. Romakina

Chernyshevsky Saratov State University, Faculty of Mathematics and Mechanics, Saratov, Russia
Full-text PDF (341 kB) Citations (5)
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Abstract: We obtain formulas for the length of a (hyperbolic, elliptic) chord of a hypercycle in a hyperbolic plane of positive curvature $\hat H$ via the central angle corresponding to the chord, the height of the hypercycle, and the curvature radius of $\hat H$.
Keywords: hyperbolic plane of positive curvature, de Sitter plane, hypercycle, chord of a hypercycle.
Received: 20.11.2011
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 5, Pages 894–904
DOI: https://doi.org/10.1134/S0037446613050133
Bibliographic databases:
Document Type: Article
UDC: 514.133+514.174.5
Language: Russian
Citation: L. N. Romakina, “The chord length of a hypercycle in a hyperbolic plane of positive curvature”, Sibirsk. Mat. Zh., 54:5 (2013), 1115–1127; Siberian Math. J., 54:5 (2013), 894–904
Citation in format AMSBIB
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\paper The chord length of a~hypercycle in a~hyperbolic plane of positive curvature
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\pages 1115--1127
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    References:60
    First page:5
     
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