Fermat point

Point in a triangle that minimizes the sum of the distances to each of the three vertices

Nº Q914929 ★

Common · Knowledge

Fermat point

Point in a triangle that minimizes the sum of the distances to each of the three vertices

In Euclidean geometry, the Fermat point of a triangle, also called the Torricelli point or Fermat–Torricelli point, is a point such that the sum of the three distances from each of the three vertices of the triangle to the point is the smallest possible or, equivalently, the geometric median of the three vertices. It is so named because this problem was first raised by Fermat in a private letter to Evangelista Torricelli, who solved it.

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From Wikipedia

In Euclidean geometry, the Fermat point of a triangle, also called the Torricelli point or Fermat–Torricelli point, is a point such that the sum of the three distances from each of the three vertices of the triangle to the point is the smallest possible or, equivalently, the geometric median of the three vertices. It is so named because this problem was first raised by Fermat in a private letter to Evangelista Torricelli, who solved it. The Fermat point gives a solution to the geometric median and Steiner tree problems for three points.

Text: Wikipédia, CC BY-SA 4.0. · Image: Lemontea (CC BY-SA 3.0) ·

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