# Geometry/Neutral Geometry/Euclid's Fifth Postulate

< Geometry | Neutral Geometry

## Euclidean Parallel Postulate[edit | edit source]

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[edit | edit source]

[To Come]

## Attempted Proofs[edit | edit source]

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.