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Euler Line

Euler Line

The line segment that passes through a triangle’s orthocenter, centroid, and circumcenter. These three points are collinear for any triangle. In addition, the distance from the orthocenter to the centroid is twice the distance from the circumcenter to the centroid.

Note: Euler is pronounced "Oiler".

 

Triangle with Euler Line passing through three labeled collinear points: orthocenter, centroid, and circumcenter.

 

See also

Euler's formula, Euler's formula for polyhedra