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Anticenter


Anticenter
CyclicQuadOrthocenter

The point of concurrence of the four maltitudes of a cyclic quadrilateral. Let M_(AC) and M_(BD) be the midpoints of the diagonals of a cyclic quadrilateral ABCD, and let P be the intersection of the diagonals. Then the orthocenter of triangle DeltaPM_(AC)M_(BD) is the anticenter T of ABCD (Honsberger 1995, p. 39).


See also

Cyclic Quadrilateral, Maltitude

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References

Honsberger, R. Episodes in Nineteenth and Twentieth Century Euclidean Geometry. Washington, DC: Math. Assoc. Amer., pp. 36-37, 1995.

Referenced on Wolfram|Alpha

Anticenter

Cite this as:

Weisstein, Eric W. "Anticenter." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Anticenter.html

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