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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. 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.

UDC: 514.133

DOI: 10.18500/1816-9791-2014-14-1-20-28



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