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Kimberling Center


KimberlingCenters

C. Kimberling has extensively tabulated and enumerated the properties of triangle centers (Kimberling 1994, 1998, and online), denoting the nth center in his numbering scheme by X_n. 101 (plus 13 additional) centers appeared in Kimberling (1994), 360 in Kimberling (1998), and the remainder appear in a list maintained online by Kimberling at http://faculty.evansville.edu/ck6/encyclopedia/ETC.html. In his honor, these centers are called Kimberling centers in this work. Kimberling's compilation contains 3053 centers as of December 2004. A subset of these is illustrated above.

The first few Kimberling centers are summarized in the table below with their numbers, names, and trilinears.


See also

Major Triangle Center, Triangle Center, Triangle Center Function

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References

Kimberling, C. "Central Points and Central Lines in the Plane of a Triangle." Math. Mag. 67, 163-167, 1994.Kimberling, C. "Triangle Centers and Central Triangles." Congr. Numer. 129, 1-295, 1998.Kimberling, C. "Clark Kimberling's Encyclopedia of Triangle Centers--ETC." http://faculty.evansville.edu/ck6/encyclopedia/ETC.html.Kimberling, C. "Encyclopedia of Triangle Centers." http://faculty.evansville.edu/ck6/encyclopedia/.Kimberling, C. "Triangle Centers." http://faculty.evansville.edu/ck6/tcenters/.Pegg, E. Jr. and Weisstein, E. W. "Seven Mathematical Tidbits." MathWorld Headline News. Nov. 8, 2004. http://mathworld.wolfram.com/news/2004-11-08/seventidbits/#3.

Referenced on Wolfram|Alpha

Kimberling Center

Cite this as:

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

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