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411 REFERENCE · Wikibooks

Geometry/Neutral Geometry/Euclid's Fifth Postulate

Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.

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.