Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 48, No. 2, pp. 399-409 (2007)
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Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 48, No. 2, pp. 399-409 (2007) |
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Orthogonality as single primitive notion for metric planesVictor PambuccianDepartment of Integrative Studies, Arizona State University -- West Campus, Phoenix, AZ 85069-7100, U.S.A. e-mail: pamb@math.west.asu.eduAbstract: We provide a first order axiomatization for Bachmann's metric planes in terms of points and the ternary relation $\perp$ with $\perp(abc)$ to be read as `$a, b, c$ are the vertices of a right triangle with right angle at $a$'. The axioms can be chosen to be $\forall\exists$-statements. Classification (MSC2000): 51F15, 03B30 Full text of the article:
Electronic version published on: 7 Sep 2007. This page was last modified: 28 Jun 2010.
© 2007 Heldermann Verlag
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