К теории площадей гиперболической плоскости положительной кривизны
Publications de l'Institut Mathématique, _N_S_99 (2016) no. 113, p. 139
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
A hyperbolic plane $\widehat{H}$ of positive curvature is the projective model of the de Sitter plane. In article the ways of measurement of the figures areas of the plane $\widehat{H}$ are offered. The cyclic orthogonal coordinate systems are described. One family of coordinate curves in such systems form by concentric cycles (by hyperbolic cycles, elliptic cycles or oricycles). Other family of coordinate curves form by the axes of these cycles. The formulas for the calculation of the figures areas of the plane $\widehat{H}$ are received.
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journal = {Publications de l'Institut Math\'ematique},
pages = {139 },
publisher = {mathdoc},
volume = {_N_S_99},
number = {113},
year = {2016},
doi = {10.2298/PIM1613139R},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM1613139R/}
}
TY - JOUR AU - Л. Н. Ромакина TI - К теории площадей гиперболической плоскости положительной кривизны JO - Publications de l'Institut Mathématique PY - 2016 SP - 139 VL - _N_S_99 IS - 113 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2298/PIM1613139R/ DO - 10.2298/PIM1613139R LA - en ID - 10_2298_PIM1613139R ER -
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Л. Н. Ромакина. К теории площадей гиперболической плоскости положительной кривизны. Publications de l'Institut Mathématique, _N_S_99 (2016) no. 113, p. 139 . doi: 10.2298/PIM1613139R
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