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