Fermat point

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Also called Torricelli point.

In atriangle $\triangle ABC$, a point $p$ which has the minimum total distance to three vertices. (i.e., $|Ap|+|Bp|+|Cp|)$ is called the first Fermat point or simply Fermat point in general.

A method to find the point is to construct three equilateral triangles out of the three sides from $\triangle ABC$, then connect each new vertex to each opposite vertex, as these three lines will concur at first Fermat point.

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