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    Anticomplementary Triangle

    Definition

    The anticomplementary triangle is the triangle Δ A_1^, A_2^, A_3^, which has a given triangle Δ A_1 A_2 A_3 as its medial triangle. It is therefore the anticevian triangle with respect to the triangle centroid G, and is in perspective with Δ A B C at G. It is the polar triangle of the Steiner circumellipse.