The theorem of the area of a rectangular trihedral of the hyperbolic plane of positive curvature

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.