 ##  [Playfair's Axiom](/playfairs-axiom) 

  ##  [Playfair's Axiom](https://puremath.quantumdictionary.io/playfairs-axiom-0) 

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

An axiom equivalent, in the usual Euclidean axiom systems, to Euclid's parallel postulate: through a given point not on a given line there is at most one line parallel to the given line.