Difference between revisions of "Fermat point"
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Also called '''Torricelli point'''. | Also called '''Torricelli point'''. | ||
| − | In | + | In a triangle <math>\triangle ABC</math>, a point <math>p</math> which has the minimum total distance to three [[vertices]]. (i.e., <math>|Ap|+|Bp|+|Cp|)</math> 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 <math>\triangle ABC</math>, then connect each new vertex to each opposite vertex, as these three lines will concur at first Fermat point. | 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. | ||
Revision as of 20:40, 4 November 2006
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Also called Torricelli point.
In a triangle 
, a point 
which has the minimum total distance to three vertices. (i.e., 
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 , then connect each new vertex to each opposite vertex, as these three lines will concur at first Fermat point.
