On generalizations of Furman theorem on hyperbolic plane
Abstract:
Furman's theorem is also called Ptolemy's theorem for an inscribed hexagon. The paper considers various analogues of this theorems on the Lobachevsky plane, as well as analogs of a theorem generalizing the Kezi (Casey) theorem for six circles tangent to one circles. 'Point' interpretations are built 'cyclic' theorems.