##  [Euclid's Parallel Postulate](/euclids-parallel-postulate) 

  ##  [Euclid's Parallel Postulate](https://puremath.quantumdictionary.io/euclids-parallel-postulate-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A foundational axiom of Euclidean geometry asserting that given a straight line and a point not on it, there exists exactly one straight line through the point that does not meet the given line (i.e., is parallel to it).