Feuerbach Antipode

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FeuerbachAntipode

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

alpha_(119)=(-1+cosB+cosC)cscA[sin(2B)+2(cosA-1)(sinB+sinC)+sin(2C)]

and is Kimberling center .

See also

Feuerbach Hyperbola, Feuerbach Point, Jerabek Antipode, Kiepert Antipode

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References

Kimberling, C. "Encyclopedia of Triangle Centers: X(119)=Feuerbach Antipode." http://faculty.evansville.edu/ck6/encyclopedia/ETC.html#X119.

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Feuerbach Antipode

Cite this as:

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

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