Clark Kimberling, Ceva collineations,
Forum Geometricorum 7 (2007) 67--72.

Abstract: Suppose
L_1 and L_2 are lines.  There  exists a unique point U such that if X in L_1, then X^{-1}© U in L_2, where  X^{-1} denotes the isogonal conjugate of X and X^{-1}© U is the X^{-1}-Ceva conjugate of U. The mapping X ->  X^{-1}©
U is the U-Ceva collineation.  It maps every line onto a line and in particular maps L_1 onto L_2. Examples are given involving the line at infinity, the Euler line, and the Brocard axis.  Collineations map cubics to cubics, and images of selected cubics under certain U-Ceva collineations are briefly considered.

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