Clark Kimberling, Fixed points and fixed lines of Ceva collineations,
Forum Geometricorum, 7 (2007) 159--168.
Abstract: In the plane of a triangle ABC, the U-Ceva collineation maps points
to points and lines to lines. If U is a triangle center other than
the incenter, then the U-Ceva collineation has three distinct fixed points
F_1, F_2, F_3 and three distinct fixed lines F_2F_3,F_3F_1,F_1F_2, these
being the trilinear polars of F_1, F_2,F_3. When U is the circumcenter,
the fixed points are the symmedian point and the isogonal conjugates of the
points in which the Euler line intersects the circumcircle.