The circumcircle of the Fuhrmann triangle. It has the line H Na, where H is the orthocenter and Na is the Nagel point, as its diameter. In fact, these points (Kimberling centers X_4 and X_8, respectively), are the only Kimberling centers lying on it. While H and Na are the only noteworthy triangle centers to lie on the circle, a total of at least six other noteworthy points lie on the Fuhrmann circle. Three of these are the points T, U, and V which are a distance 2r along the altitudes from the vertices, where r is the inradius of Δ A B C.

altitude | Fuhrmann center | Fuhrmann triangle | inradius | mid-arc points | Nagel point | orthocenter