Fermat point: Difference between revisions
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The '''Fermat point''' (also called the Torricelli point) of a triangle <math>\triangle ABC</math> is a point <math>P</math> which has the minimum total distance to three [[vertices]] (i.e., <math>AP+BP+CP</math>). | |||
==Construction== | |||
A method to find the point is to construct three equilateral triangles out of the three sides from <math>\triangle ABC</math>, then connect each new vertex to each opposite vertex, as these three lines will concur at first Fermat point. | |||
==See Also== | |||
*[[Triangle]] | |||
*[[Point]] | |||
{{stub}} | |||
[[Category:Definition]] | |||
[[Category:Geomtery]] | |||
Revision as of 17:35, 23 December 2007
The Fermat point (also called the Torricelli point) of a triangle 
is a point 
which has the minimum total distance to three vertices (i.e., 
).
Construction
A method to find the point is to construct three equilateral triangles out of the three sides from , then connect each new vertex to each opposite vertex, as these three lines will concur at first Fermat point.
See Also
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