The Fuhrmann center F u is the center of the Fuhrmann circle, given by the midpoint of the line joining the Nagel point and orthocenter (which forms a diameter of the Fuhrmann circle). It is Kimberling center X_355 and has equivalent triangle center functions α_355 | = | a cos A - (b + c) cos(B - C) α_355 | = | (a - b + c) cos B + 2(b + c) cos B cos C α_355 | = | (2a(b + c) sec A + (-a + b + c)(b sec A + c sec C))/a.

circumcircle mid-arc triangle | Fuhrmann circle | Fuhrmann triangle | mid-arc points | Nagel point | orthocenter