# Difference between revisions of "Fermat point"

m |
m |
||

Line 3: | Line 3: | ||

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

*This article is a stub. Help us out by expanding it.*

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.