 ##  [Line](/line) 

  ##  [Line](https://puremath.quantumdictionary.io/line-0) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A one-dimensional straight locus of points extending infinitely in both directions in Euclidean (affine) geometry, determined uniquely by two distinct points and realized as a 1-dimensional affine subspace or a geodesic in flat geometry.