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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".

 

 

See also

Euler's formula, Euler's formula for polyhedra

 


  this page updated 19-jul-17
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
Copyright © 2000 by Bruce Simmons
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NCTM Web Bytes December 2004 Web Bytes March 2005 Web Bytes