Geodesic
The theorem of the area of a rectangular trihedral of the hyperbolic plane of positive curvature
Dalʹnevostočnyj matematičeskij žurnal, Tome 13 (2013) no. 1, pp. 127-147

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On the hyperbolic plane $\widehat{H}$ of positive curvature the orthogonal hypercyclic coordinates system is introduced. Formulas for calculation of the areas of a rectangular trihedral, in particular with a parabolic hypotenuse, double rectangular trihedral and the simple 4-contours, being a cell in simple partitions of the plane $\widehat{H}$ are received. 
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     author = {L. N. Romakina},
     title = {The theorem of the area of a rectangular trihedral of the hyperbolic plane of positive curvature},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
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     url = {http://geodesic.mathdoc.fr/item/DVMG_2013_13_1_a11/}
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L. N. Romakina. The theorem of the area of a rectangular trihedral of the hyperbolic plane of positive curvature. Dalʹnevostočnyj matematičeskij žurnal, Tome 13 (2013) no. 1, pp. 127-147. http://geodesic.mathdoc.fr/item/DVMG_2013_13_1_a11/