Shao-Cheng Liu, Trilinear polars and antiparallels,
Forum Geometricorum, 9 (2009) 283--290.

Abstract: We study the triangle bounded by the antiparallels to the sidelines of a given triangle ABC through the intercepts of the trilinear polar of a point P other than the centroid G. We show that this triangle is perspective with the  reference triangle, and also study the condition of concurrency of  the antiparallels. Finally, we also study the configuration of  induced GP-lines and obtain an interesting  conjugation of finite points other than G.

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