Definition:Fermat-Torricelli Point

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Definition

Let $ABC$ be a triangle.


The Fermat-Torricelli Point is defined to be the point $P$ which minimizes the following quantity:

$AP + BP + CP$

which is the total distance from the three vertices to point $P$.


Also known as

The Fermat-Torricelli point is also known as either:

the Fermat point

or:

the Torricelli point.

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Also see

  • Results about the Fermat-Torricelli point can be found here.


Source of Name

This entry was named for Pierre de Fermat and Evangelista Torricelli.


Sources