On Parabolic Trigonometry in a Degenerate Minkowski Plane

A Minkowski plane is considered having a parabola as indicatrix curve and taking for its center the vertex of the parabola causing by this a degeneration of the Minkowski geometry. After a short discussion of the concept of the length and angle, the trigonometrical functions of this geometry has been calculated and their basic properties explained. A two-parameter pseudogroup of generalized rotations has been found as an analogon of the Lorentz transformation group in special relativity. The theory has applications to thermodynamics.