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X(3), X(6), X(1350), X(33850), X(33861)

vertices of these triangles :

• Thomson (points Qi)

• tangential of Thomson (points Ri)

their reflections in O

infinite points of pK(X6, X5640)

Geometric properties :

K1117 is a member of the pencil of cubics generated by K172 and K1114. This is studied in Table 71.

K1117 is a central cubic with center O, tangent at O to the Euler line.