### Abstract

We provide a first order axiomatization for Bachmann's metric planes in terms of points and the ternary relation ⊥ with ⊥ (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 ∀∃-statements.

Original language | English (US) |
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Pages (from-to) | 399-409 |

Number of pages | 11 |

Journal | Beitrage zur Algebra und Geometrie |

Volume | 48 |

Issue number | 2 |

State | Published - Dec 1 2007 |

### ASJC Scopus subject areas

- Algebra and Number Theory
- Geometry and Topology

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## Cite this

Pambuccian, V. (2007). Orthogonality as single primitive notion for metric planes.

*Beitrage zur Algebra und Geometrie*,*48*(2), 399-409.