 ##  [Length](/length) 

  ##  [Length](https://puremath.quantumdictionary.io/length-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 measurement of the extent of a curve or segment between two points within a geometric setting, computed by integrating the speed (norm of the velocity) of a parametrized curve with respect to a chosen metric.