### Abstract

We provide quantifier-free axiomatizations for two fragments of hyperbolic geometry: the hyperbolic geometry of restricted ruler (which can be used to draw the line joining two distinct points, but not to construct the intersection point of two lines), segment-transporter, and set square constructions, and the geometry of BACHMANN's Treffgeradenebenen, and show that both are, in a precise sense, naturally occuring fragments of standard hyperbolic geometry.

Original language | German |
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Pages (from-to) | 81-95 |

Number of pages | 15 |

Journal | Publicationes Mathematicae |

Volume | 65 |

Issue number | 1-2 |

State | Published - Sep 10 2004 |

### Keywords

- Geometric construction
- Hyperbolic geometry
- Quantifier-free axiomatization

### ASJC Scopus subject areas

- Mathematics(all)

## Cite this

Pambuccian, V. (2004). Fragmente der ebenen hyperbolischen Geometrie.

*Publicationes Mathematicae*,*65*(1-2), 81-95.