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On orthogonality in nets. (English) Zbl 0681.51003
The paper is devoted to the study of orthogonality of lines in the Desargues net of infinite order and degree satisfying the quadrangle closure condition. In the first part closure conditions in a net are investigated. In the second part of the paper coordinate algebra of the net in which the quadrangle closure condition as well as the orthologic quadrangle theorem are satisfied is characterized.
Reviewer: J.Bureš
MSC:
51A15 Linear incidence geometric structures with parallelism
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