| Role | Kimberling Notation | |
|---|---|---|
| 1 | Perspector and Homothetic Center of the Euler Triangle of the Centroid and the Johnson Triangle | X(5055) |
| 2 | Perspector and Homothetic Center of the Euler Triangle of the Circumcenter and the Johnson Triangle | X(2) Centroid |
| 3 | Perspector and Homothetic Center of the Euler Triangle of the Orthocenter and the Johnson Triangle | X(381) Center of the Orthocentroidal Circle |
| 4 | Perspector and Homothetic Center of the Euler Triangle of the Nine-Point Center and the Johnson Triangle | X(5) Nine-Point Center |
| 5 | Perspector and Homothetic Center of the Euler Triangle of the de Longchamps Point and the Johnson Triangle | X(3) Circumcenter |
| 6 | Perspector and Homothetic Center of the Euler Triangle of the Center of the Orthocentroidal Circle and the Johnson Triangle | X(3545) |