Euler line

The Euler line (e) of a triangle, passing through the orthocentre (H), centroid (S), circumcentre (U) and the nine-point centre (N)

Meaning

Noun

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

Origin

  • Named for Swiss mathematician Leonhard Euler.

Modern English dictionary

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