Difference between revisions of "Fermat point"
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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 18:35, 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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