Euler Line
Visualize how the orthocenter, circumcenter, and centroid of any triangle are collinear on the Euler line.
Free theory articleVisualize how the orthocenter, circumcenter, and centroid of any triangle are collinear on the Euler line.
Concept & interpretation
The Euler line is one of the most remarkable results in triangle geometry. For any non-equilateral triangle, three fundamental centers — the circumcenter (O), the centroid (G), and the orthocenter (H) — are always collinear; that is, they all lie on a single straight line. This line is called the Euler line, named after Leonhard Euler, who proved this striking relationship in 1765.