On application of contemporary proof of the Sforza formula to computation of volumes of hyperbolic tetrahedra of special kind

In this paper, we use the contemporary proof (by Abrosimov and Mednykh) of the Sforza formula for volume of an arbitrary non-Euclidean tetrahedron to derive new formulas that express volumes of hyperbolic tetrahedra of special kind (orthoschemes and tetrahedra with the symmetry group $S_4$) via dihedral angles.