Geometry/Neutral Geometry/Euclid's Fifth Postulate

Euclidean Parallel Postulate

For every line l and P such that P does not lie on l, there exists a unique line m through P that is parallel to l

Explanation

[To Come]

Attempted Proofs

The Euclidean Parallel Postulate can not be proven without taking it as an axiom, which is not done in neutral geometry since it holds in Euclidean but not hyperbolic. Therefore, this is neither true nor false.

  • LeGendre Proof to come.
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