 ##  [Affine Space](/affine-space) 

  ##  [Affine Space](https://puremath.quantumdictionary.io/affine-space-0) 

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

A set of points with a transitive free action of a vector space that models translation without a distinguished origin; vectors represent differences between points, and parallelism is defined while no unique zero point is chosen.