A remark on the introduction of coordinates in Minkowski planes

Every Minkowski parallel-translation plane in the sense of ARTZY [1] satisfies the quadrangles axiom G of BENZ [4, p. 299]. It follows that the class of all parallel-translation planes coincides with the class of all Minkowski planes over a Tits-nearfield. The results can be extended to Minkowski geometries without the tangency property (called B^*-geometries in [4]).