It has been proved, by K. Menger in [3], that all concepts of the Bolyai-Lobachevsky geometry can be defined in terms of the operations “joining” and “intersecting”. In the present paper a similar definition of the orthogonality on hyperbolic plane (being a substitute for the Bolyai-Lobachevsky plane) over a finite field with characteristic different from 2 or over a finite extension of the rational field to a subfield of the real field is given and investigated.
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Vol. 3 (1990)
Published: 1990-01-30
10.1515/amsil
English