5.1: Hyperbolic Geometry

An IBL Introduction to Geometries · LibreTexts

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    Hyperbolic geometry results by replacing the Euclidean parallel postulate with the following.

    Axiom

    Given a line and a point not on that line there exists at least two lines through the point and parallel to the lines.

    There were three major variants (wordings) of the Euclidean parallel postulate. Conjecture what these look like in hyperbolic geometry.

    This page titled 5.1: Hyperbolic Geometry was last modified on Tue, 08 Mar 2022 01:58:46 GMT and is shared under a GNU Free Documentation License 1.3 license and was authored, remixed, and/or curated by Mark A. Fitch via source content that was edited to the style and standards of the LibreTexts platform.