##  [Geometric Inversion](/geometric-inversion) 

  ##  [Geometric Inversion](https://puremath.quantumdictionary.io/geometric-inversion-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A planar transformation that sends each point P (distinct from the center O) to a point P' on the ray OP so that OP·OP' = r^2 for a fixed radius r; it maps circles and lines to circles or lines in ways that often simplify planar geometry.