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