Define to be the point (other than the polygon vertex ) where the triangle median through meets the circumcircle of , and define and similarly. Then the Exeter point is the perspector of the triangle and the tangential triangle. It has triangle center function

and is Kimberling center .

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References

Kimberling, C. "Central Points and Central Lines in the Plane of a Triangle." Math. Mag. 67, 163-187, 1994.Kimberling, C. "Triangle Centers and Central Triangles." Congr. Numer. 129, 1-295, 1998.Kimberling, C. "Exeter Point." https://faculty.evansville.edu/ck6/tcenters/recent/exeter.html.Kimberling, C. "Encyclopedia of Triangle Centers: X(22)=Exeter Point." https://faculty.evansville.edu/ck6/encyclopedia/ETC.html#X22.Kimberling, C. and Lossers, O. P. "Problem 6557 and Solution." Amer. Math. Monthly 97, 535-537, 1990.

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Exeter Point

Cite this as:

Weisstein, Eric W. "Exeter Point." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ExeterPoint.html

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