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X(3), X(6), X(25), X(74), X(186), X(1495), X(2931), X(3003), X(14910), X(35372)

vertices of the tangential triangle

vertices of the cevian triangle of X(186)

O1, O2 = bicentric pair PU(4)

Geometric properties :

K1170 is the isogonal transform of K611. It is related to K1166.

K1169 and K1170 have nine identified common points namely A, B, C, O1, O2, X(6), X(74), X(2931), X(14910). They generate a pencil which contains a third rather complicated pK and a nK0 which is the union of the circumcircle and the line passing through X(6), X(2931), X(14910).

Every cubic of this pencil meets the line at infinity at the same points as an isogonal pK with pivot on the line passing through X(3580), X(14984).