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X(32)

Brocard points

vertices of the third Brocard triangle

K546 is the isogonal transform of K545.

The polar conic of K is the Lemoine axis (i.e. the trilinear polar of X(6)) counted twice. It meets K546 at three real inflexion points.

K546 belongs to the pencil of cubics generated by K020 and the union of the cevian lines of X(32).