HYPERBOLIC GEOMETRY IN KLEIN’S MODEL
DOI:
https://doi.org/10.59417/nir.2014.6.41Keywords:
hyperbolic geometry, Lobachevsky proposition, Klein modelAbstract
Hyperbolic geometry (also called Lobachevskian geometry) is a non-Euclidean geometry, meaning that the parallel postulate of Euclidean geometry is replaced. In order to make sure that it is uncontroversial, it is necessary to construct this geometry model as a part of a theory for which we assume that it is uncontroversial. The best known models of hyperbolic geometry are Klein and Poincaré’s model.
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