Name: On orthogonality in nets
Keywords: orthogonality of lines, coordinate algebra, Linear incidence geometric structures with parallelism, quadrangle closure condition, Desargues net

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1988 Czech Publisher:Institute of Mathematics, Czech Academy of SciencesJournal:Časopis pro pěstování matematiky, volume 113, pages 369-386 (issn: 0528-2195,

Authors: Jaroslav Lettrich; Ján Perenčaj;

doi: 10.21136/cpm.1988.118356

On orthogonality in nets

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Abstract

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.

Keywords

orthogonality of lines, coordinate algebra, Linear incidence geometric structures with parallelism, quadrangle closure condition, Desargues net

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