The Kiepert center X_115 (center of the Kiepert hyperbola) lies on the nine-point circle. The Kiepert antipode is the antipode of this point on nine-point circle. It has triangle center function α_114 = b c[b sec(B + ω) + c sec(C + ω)], where ω is the Brocard angle, and is Kimberling center X_114.

Feuerbach antipode | Jerabek antipode | Kiepert hyperbola