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Jerabek Antipode

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JerabekAntipode

The Jerabek center X_(125) (center of the Jerabek hyperbola) lies on the nine-point circle. The Jerabek antipode is the antipode of this point on nine-point circle. It has triangle center function

alpha_(113)=sinBsinC((sinB)/(cosB-2cosAcosC)+(sinC)/(cosC-2cosAcosB))

and is Kimberling center X_(113).

See also

Feuerbach Antipode, Jerabek Hyperbola, Kiepert Antipode

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References

Kimberling, C. "Encyclopedia of Triangle Centers: X(113)=Jerabek Antipode." http://faculty.evansville.edu/ck6/encyclopedia/ETC.html#X113.

Referenced on Wolfram|Alpha

Jerabek Antipode

Cite this as:

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

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