Ptolemy’s Theorem in the Relativistic Model of Analytic Hyperbolic Geometry

Ptolemy’s Theorem in Euclidean geometry, named after the Greek astronomer and mathematician Ptolemy, is well-known. By means of relativistic model hyperbolic we translate from geometry into Lobachevsky Bolyai. The based on Einstein addition relativistically admissible velocities and, as such, it coincides with well-known Beltrami–Klein ball geometry. translation achieved by trigonometry, called gyrotrigonometry, to which analytic gives rise.