Glasnik matematički, Vol. 40 No. 2, 2005.
Original scientific paper
Three-dimensional hyperbolic geometry with planes and plane parallelism as only primitive notions
Victor Pambuccian
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
Publication date:
9.11.2005.
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