Euler line

Noun

Meaning

(geometry) A line that, for a given triangle, passes through several important points, including the circumcentre, orthocentre and centroid; an analogous line for certain other 2- and 3-dimensional geometric figures.

(graph theory) An Eulerian path, a looped path through a graph that passes along every edge exactly once.

Examples

Finally it passes through the four base points of orthogonal lines dropped from each Euler point to the face not containing the vertex that generated the Euler point. citation The center T of the twelve-point sphere also lies on the Euler line. Source: Internet

These points define the Euler line of the tetrahedron that is analogous to the Euler line of a triangle. Source: Internet

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