Kiepert Center
KiepertCenter
The Kiepert center is the center of the Kiepert hyperbola. It is Kimberling center X_(115), which has equivalent triangle center functions
alpha_(115) = [画像:((b^2-c^2)^2)/a]
(1)
alpha_(115) = asin^2(B-C)
(2)
(Kimberling 1998, p. 86).
See also
Feuerbach Antipode, Kiepert Antipode, Kiepert HyperbolaExplore with Wolfram|Alpha
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References
Kimberling, C. "Triangle Centers and Central Triangles." Congr. Numer. 129, 1-295, 1998.Kimberling, C. "Encyclopedia of Triangle Centers: X(115)=Center of Kiepert Hyperbola." https://faculty.evansville.edu/ck6/encyclopedia/ETC.html#X115.Referenced on Wolfram|Alpha
Kiepert CenterCite this as:
Weisstein, Eric W. "Kiepert Center." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/KiepertCenter.html