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| c1 | Brocard points |
| c2 | Anticevian triangle |
| c3 | Tripole |
| c4 | Circle tangent to the circumcircle at a vertex and externally tangent to the incircle |
| c5 | Circle tangent to the circumcircle at a vertex and internally tangent to the incircle |
| c6 | Circle through two vertices and tangent to the incircle |
| c7 | Mannheim circle |
| c8 | Malfatti circles |
| c9 | Circle tangent to the circumcircle at a vertex and tangent to the opposite side |
| c10 | Triangle having its centroid at the incircle |
| c11 | Triangle knowing the vertex A, the circumcenter O and the symmedian point K |
| c12 | Equilateral triangle circumscribed to ABC |
| c13 | Triangle knowing the vertex A, the line r joining A and B and the ninecircle c |
| c14 | Triangle having its vertices on three concurrent lines r1, r2, r3 and as incenter I their concurrence point |
| c15 | Triangles ABC given A and B and such as the circle with diameter AB is tangent to the incircle |
| c16 | Triangles inscribed in ABC and similar to the pedal A'B'C' of a point P |
| c17 | Triangle ABC similar to A'B'C', C being given and A, B in two given lines r, s |
| c18 | Two points M, N isogonals with respect two triangles ABC and A'B'C' |
| c19 | Two tangent circles with the same radius, one of them with center A and the other through B and C |
| c20 | Triangle knowing ra, rb, rc perpendicular bisectors of the sides |