| Role | Kimberling Notation | |
|---|---|---|
| 1 | Perspector and Homothetic Center of the Euler Triangle of the Incenter and the Inner Yff Triangle | X(1) Incenter |
| 2 | Perspector and Homothetic Center of the Euler Triangle of the Circumcenter and the Inner Yff Triangle | X(56) External Center of Similitude of Circumcircle and Incircle |
| 3 | Perspector and Homothetic Center of the Euler Triangle of the Orthocenter and the Inner Yff Triangle | X(1479) Center of the Outer Johnson-Yff Circle |
| 4 | Perspector and Homothetic Center of the Euler Triangle of the Nine-Point Center and the Inner Yff Triangle | X(496) Harmonic Conjugate of the Johnson Midpoint |
| 5 | Perspector and Homothetic Center of the Euler Triangle of the Symmedian Point and the Inner Yff Triangle | X(613) |
| 6 | Perspector and Homothetic Center of the Euler Triangle of the Spieker Center and the Inner Yff Triangle | X(1210) |
| 7 | Perspector and Homothetic Center of the Euler Triangle of the de Longchamps Point and the Inner Yff Triangle | X(4299) |
| 8 | Perspector and Homothetic Center of the Euler Triangle of the Bevan Point and the Inner Yff Triangle | X(46) |
| 9 | Perspector and Homothetic Center of the Euler Triangle of the Center of the Fuhrmann Circle and the Inner Yff Triangle | X(1837) |