Euler line
Revision as of 19:59, 4 November 2006 by JBL (talk | contribs) (Euler's line moved to Euler line: The line doesn't belong to Euler, it's named after him. "The Euler line of a triangle.")
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Let be a triangle, points
as
's orthocenter, nine-point center, centroid, circumcenter, De Longchamps point respectively, then these points are collinear(regardless of
's shape). And the line passes through points
is called as Euler line, which is named after Leonhard Euler.
An interesting property of distances between these points on the Euler line: