THE AREA OF A GENERALIZED POLYGON WITHOUT PARABOLIC EDGES OF A HYPERBOLIC PLANE OF POSITIVE CURVATURE

The geometry of a hyperbolic plane Ĥ of positive curvature can be realized on ideal domain of the Lobachevskii plane ∧2. The planes Ĥ and ∧2 are components of an extended hyperbolic plane H2, i.e. the projective plane P2 with the oval curve ϒ fixed on it. In this article the formula of expression of the area of the generalized polygon without parabolyc edges on the plane Ĥ through measures of its internal angles is proved.