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Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 2014, Volume 14, Issue 1, Pages 20–28 (Mi isu482)  

Mathematics

Parabolic parallelograms of the plane $\widehat H$

L. N. Romakina

Saratov State University, 83, Astrahanskaya str., 410012, Saratov, Russia

Abstract: Parabolic parallelograms on a Hyperbolic Plane $\widehat H$ with the positive curvature in the Cayley–Klein model are investigated. We conducted their classification, obtained the metric correlations between the measure of angles and the expressions of lengths of the edges through a measure of included angles.

Key words: hyperbolic plane $\widehat H$ with positive curvature, de Sitter plane, parallelogram, parabolic parallelogram.

Full text: PDF file (198 kB)
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Document Type: Article
UDC: 514.133

Citation: L. N. Romakina, “Parabolic parallelograms of the plane $\widehat H$”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 14:1 (2014), 20–28

Citation in format AMSBIB
\Bibitem{Rom14}
\by L.~N.~Romakina
\paper Parabolic parallelograms of the plane~$\widehat H$
\jour Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform.
\yr 2014
\vol 14
\issue 1
\pages 20--28
\mathnet{http://mi.mathnet.ru/isu482}


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  • Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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