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
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Fermat point
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Fermat point