The anticevian triangle of a point P with respect to the triangle ABC is the triangle A"B"C" such that ABC is the cevian triangle of P with respect to A"B"C".
As example:
The anticevian triangle of the incenter is the excentral triangle.
The anticevian triangle of the centroid is the antimedial triangle.
The anticevian triangle of the symmedian is the tangential triangle.