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Sylvester's Triangle Problem

The resultant of the vectors represented by the three Radii from the center of a Triangle's Circumcircle to its Vertices is the segment extending from the Circumcenter to the Orthocenter.

See also Circumcenter, Circumcircle, Orthocenter, Triangle


Dörrie, H. 100 Great Problems of Elementary Mathematics: Their History and Solutions. New York: Dover, p. 142, 1965.

© 1996-9 Eric W. Weisstein