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Original scientific paper

Three-dimensional hyperbolic geometry with planes and plane parallelism as only primitive notions

Victor Pambuccian


Full text: english pdf 103 Kb

page 313-315

downloads: 932

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Abstract

We show that Euclidean Möbius planes can be axiomatized in terms of circles and circle-tangency, and that 3-dimensional hyperbolic geometry can be axiomatized in terms of planes and plane-parallelism.

Keywords

Hyperbolic space; Euclidean Möbius plane; axiom system

Hrčak ID:

381

URI

https://hrcak.srce.hr/381

Publication date:

9.11.2005.

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