**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 |