Fermat point
In geometry, the Fermat point of a triangle, also called the Torricelli point or Fermat-Torricelli point, is a point such that the total distance from the three vertices of the triangle to the point is the minimum possible. It is so named because this problem is 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.
Construction
The Fermat point of a triangle with largest angle at most 120° is simply its first isogonic center or X(13), which is constructed as follows:
An alternate method is the following:
Podcasts:
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by Art Brut
Formed A Band
by: Art BrutFormed a band, we formed a band, look at us, we formed a band [x4]
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Formed a band, we formed a band, look at us, we formed a band [x4]
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Formed a band, we formed a band, look at us, we formed a band [x4]