| Kimberling Notation | Role | |
|---|---|---|
| 1 | X(1) Incenter | Prespector of the Haimov Triangle and the Circumcevian Triangle of the Circumcenter |
| 2 | X(3) Circumcenter | Perspector and Homothetic Center of the Haimov Triangle and the Circumcevian Triangle of the Bevan Point |
| 3 | X(56) External Center of Similitude of Circumcircle and Incircle | Prespector of the Haimov Triangle and the Intouch Triangle |
| 4 | X(56) External Center of Similitude of Circumcircle and Incircle | Prespector of the Haimov Triangle and the Circum-Incentral Triangle |
| 5 | X(57) | Prespector of the Haimov Triangle and the Incentral Triangle |
| 6 | X(103) | Prespector of the Haimov Triangle and the Intangents Triangle |
| 7 | X(104) | Prespector of the Haimov Triangle and the Triangle of the Orthocenters of the Triangulation Triangles of the Incenter |
| 8 | X(1319) Bevan-Schroder Point | Prespector of the Haimov Triangle and the Circumcevian Triangle of the Inverse of the Incenter in the Circumcircle |
| 9 | X(1420) | Prespector of the Haimov Triangle and the Circumcevian Triangle of the External Center of Similitude of the Incircle and the Circumcircle |
| 10 | X(1617) | Prespector of the Haimov Triangle and the Tangential Triangle |
| 11 | X(2078) | Prespector of the Haimov Triangle and the Circumcevian Triangle of the Schroder Point |
| 12 | X(5172) | Prespector of the Haimov Triangle and the Circumcevian Triangle of the Evans Perspector |
| 13 | X(5193) | Prespector of the Haimov Triangle and the Circumcevian Triangle of the Bevan-Schroder Point |