Introduction of measures for segments and angles in a general absolute plane Original Research Article

To an absolute plane image in the general sense of Karzel et al. [Einführung in die Geometrie, UTB 184, Vandenhoeck, Göttingen, 1973, Section 16] there will be associated an ordered commutative group image such that image is a subgroup of the corresponding K-loop image of the absolute plane and a cyclic ordered commutative group image where image is isomorphic to a rotation group fixing a point. image, resp. image, will serve to introduce a distance image describing the congruence and satisfying the triangular inequality or resp. a measure image for angles describing the congruence and conjugacy of angles.