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)]](/images/equations/FeuerbachAntipode/NumberedEquation1.svg) |
and is Kimberling center 
.
Feuerbach Antipode
See also
Feuerbach Hyperbola, Feuerbach Point, Jerabek Antipode, Kiepert AntipodeExplore with Wolfram|Alpha
References
Kimberling, C. "Encyclopedia of Triangle Centers: X(119)=Feuerbach Antipode." http://faculty.evansville.edu/ck6/encyclopedia/ETC.html#X119.Referenced on Wolfram|Alpha
Feuerbach AntipodeCite this as:
Weisstein, Eric W. "Feuerbach Antipode." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FeuerbachAntipode.html