Pambuccian, Victor An axiomatics for hyperbolic projective-metric planes in terms of lines and orthogonality. (English) Zbl 1101.51007 Bull. Pol. Acad. Sci., Math. 52, No. 3, 297-302 (2004). The starting point of this paper is Lingenberg’s partly group theoretic, partly geometric system of axioms for hyperbolic projective-metric planes [R. Lingenberg, Metric planes and metric vector spaces. Pure and Applied Mathematics. A Wiley-Interscience Publication. New York etc.: John Whiley & Sons. (1979; Zbl 0419.51001)]. The author shows that these planes are axiomatizable in terms of lines and orthogonality. Reviewer: Erich W. Ellers (Toronto) Cited in 1 ReviewCited in 3 Documents MSC: 51M10 Hyperbolic and elliptic geometries (general) and generalizations 03B30 Foundations of classical theories (including reverse mathematics) Keywords:perpendicularity Citations:Zbl 0419.51001 PDFBibTeX XMLCite \textit{V. Pambuccian}, Bull. Pol. Acad. Sci., Math. 52, No. 3, 297--302 (2004; Zbl 1101.51007) Full Text: DOI