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| c21 | Points whose reflections on the altitudes form a triangle perspective with ABC |
| c22 | Points being the ninecenter of their pedal triangle |
| c23 | Points being the orthocenter of their cevian triangle |
| c24 | Deltoids inscribed in a triangle ABC |
| c25 | Inscribed square with a side on BC |
| c26 | Triangle given the vertex A, the circumcenter O and the symmedian point K |
| c27 | Triangle given the circumcenter O, the foot Ha of the A-altitude and the foot Wa of the A-bisector |
| c28 | Triangle given the vertex A, the incenter I and the centroid G |
| c29 | Triangles with given circumcircle c and with a given point N in c as ninecenter |
| c30 | Triangle given the centroid G, the line r containing BC, a point N in AC and a point L in AB |
| c31 | Point P with Simson line parallel to a given line r |
| c32 | Point P with given Steiner line r |
| c33 | Triangle given the A-median m, the A-bisector d, and the product bc of the sides |
| c34 | Circle through A tangent to BC and cutting equal segments in AB and AC |
| c35 | Given two circles through A, tangents to BC at B and C, construct a third circle tangent to the former and to BC |
| c36 | Triangle with a symmedian orthogonal to the Euler line |
| c37 | Triangle given the incenter I, the centroid G and the orthocenter H |
| c38 | Triangle given the angle A, the A-bisector d, and the sum b+c of the sides |
| c39 | Points of the circumcircle with Simson line through a given point P |
| c40 | Lines with a given orthopole P |