An inconic with parameters x:y:z = a(b - c):b(c - a):c(a - b), giving equation a^2 (b - c)^2 α^2 + b^2 (c - a)^2 β^2 + c^2 (a - b)^2 γ^2 - 2[a b(b - c)(c - a) αβ + a c(a - b)(b - c) αγ + b c(a - b)(c - a) βγ] = 0 (Kimberling 1998, pp. 238-239). Its focus is Kimberling center X_101 and its conic section directrix is the line joining the orthocenter H and mittenpunkt M.

inconic | parabola | Yff contact triangle | Yff hyperbola