Euler line
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Let be a triangle with orthocenter
, nine-point center
, centroid
, circumcenter
and De Longchamps point
. Then these points are collinear and the line passes through points
is called the Euler line of
. It is named after Leonhard Euler.
Certain fixed ratios hold among the distances between these points:
Given the orthic triangle of
, the Euler lines of
,
, and
concur at
, the nine-point center of
.