In geometry, Euler's line, named in honor of Leonhard Euler (pronounced "oiler", not "yooler"!) is the line passing through the orthocenter, the circumcenter, and the centroid of a triangle.
Euler showed that in any triangle, those three points are collinear.
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... a legitimate basis of authority.
The first to have the title of "Tyrant" was Pisistratus in 560 BC.
In modern times Tyrant has come to mean a dictator who rules ...