The resultant of the vectors represented by the three radii from the center of a triangle's circumcircle to its polygon vertices is the segment extending from the circumcenter to the orthocenter.
Sylvester's Triangle Problem
See also
Circumcenter, Circumcircle, Orthocenter, TriangleExplore with Wolfram|Alpha
References
Dörrie, H. 100 Great Problems of Elementary Mathematics: Their History and Solutions. New York: Dover, p. 142, 1965.Referenced on Wolfram|Alpha
Sylvester's Triangle ProblemCite this as:
Weisstein, Eric W. "Sylvester's Triangle Problem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SylvestersTriangleProblem.html