Ceva collineations - Clark Kimberling 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. ✪ ✪ ✪ ✪ ✪ Link tải tài liệu: LINK TẢI TÀI LIỆU Theo LTTK Education
