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Definitions of Euler line:
  • noun:   (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.
  • noun:   (graph theory) An Eulerian path, a looped path through a graph that passes along every edge exactly once.

(Definitions from Wiktionary)

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