##  [Fermat–Torricelli Problem](/fermat-torricelli-problem) 

  ##  [Fermat–Torricelli Problem](https://puremath.quantumdictionary.io/fermat-torricelli-problem-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The optimization problem of finding a point in the plane that minimizes the sum of Euclidean distances to the three vertices of a given triangle; the minimizing point is called the Fermat (or Torricelli) point and has incident angles of 120° when all triangle angles are less than 120°.