The reflections of a line r in the bisectors of ABC bound a triangle A'B'C' orthologic and parallelogic with ABC, with the first orthologic center D in the circumcircle. As particular cases,
* when r is the Euler line, D is the point X(110)
* when r is the Brocard line, D is the Steiner point
* when r is the line OI (O circumcenter, I incenter), D is the point X(100)
* when r is the line joining the isodynamic points, D is the Steiner point