##  [Simson Line](/simson-line) 

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

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

For a given triangle and a point P on its circumcircle, the orthogonal projections (feet) from P to the three sides of the triangle (or their extensions) lie on a single straight line; that common line is called the Simson line of P with respect to the triangle.