Euler line

== English == === Alternative forms === Euler's line === Etymology === Named for Swiss mathematician Leonhard Euler. === Noun === Euler line (plural Euler lines) (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. 2011, Derek Allan Holton, A Second Step to Mathematical Olympiad Problems, World Scientific Publishing, Mathematical Olympiad Series, Volume 7, page 57, Show that the perpendicular bisector of LM in Figure 2.5 meets the Euler line halfway between the orthocentre and the circumcentre of ΔABC. (graph theory) An Eulerian path, a looped path through a graph that passes along every edge exactly once. ==== Translations ==== === See also === Hamiltonian path