 ##  [Integral Geometry](/integral-geometry) 

  ##  [Integral Geometry](https://puremath.quantumdictionary.io/integral-geometry-0) 

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

The branch of geometry that relates measures and averaged geometric quantities through integral formulas and invariant measures, using group actions and probabilistic sampling to express lengths, areas, and other invariants as integrals over families of geometric objects.