Hyperbolic Geometry

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Section 5.1 Hyperbolic Geometry

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

Axiom 5.1.1.

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

Checkpoint 5.1.2.

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

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