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X(8), X(76), X(85), X(348), X(22116)

isotomic conjugates of X(173), X(268), X(3161), X(6600), X(8818)

vertices of the cevian triangle of X(6063) = t X(55)

see Z below

Geometric properties :

K1069 is the isotomic transform of K220 = psK(X55, X2, X6).

See the related Q145.

Z = a (a b + a c - b^2 - c^2) / (a^2 - b c) : : , SEARCH = - 0.816513116664244, lies on K1068 and K1069, on the lines {1,39}, {10,514}, {12,85}, etc. Z is now X(22116) in ETC (2018-09-04).

Z is the transform of the common point X(659) of the trilinear polars of X(1) and X(83) under the mapping 𝚹 : P -> aQ described in page K1065.