Euler line
In any triangle, the orthocenter , the centroid and the circumcenter are collinear, and . The line passing by these points is known as the Euler line of the triangle.
This line also passes by the center of the nine-point circle (or Feuerbach circle) , and is the midpoint of .
Title | Euler line |
Canonical name | EulerLine |
Date of creation | 2013-03-22 11:44:25 |
Last modified on | 2013-03-22 11:44:25 |
Owner | drini (3) |
Last modified by | drini (3) |
Numerical id | 18 |
Author | drini (3) |
Entry type | Theorem |
Classification | msc 51-00 |
Classification | msc 58A05 |
Classification | msc 83E15 |
Classification | msc 83D05 |
Classification | msc 83E05 |
Classification | msc 83E50 |
Classification | msc 81-00 |
Classification | msc 83-00 |
Classification | msc 82-00 |
Related topic | Triangle |
Related topic | Orthocenter |
Related topic | Centroid |
Related topic | Collinear |
Related topic | Midpoint |
Related topic | OrthicTriangle |
Related topic | CenterOfATriangle |
Related topic | EulerLineProof |