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X(1), X(2), X(6), X(75), X(239), X(291), X(366), X(518), X(673), X(1575), X(2319), X(2669), X(3212), X(3226), X(7061), X(8301), X(9278) isogonal conjugates of all the points of K155 tX726 = isotomic conjugate of X(726) = X(3226) harmonic associates of X(366) infinite points of the Steiner ellipse A1 =  bc : b^2 : c^2 on AK, B1 and C1 similarly A2 =  a : c : b on AX(75), B2 and C2 similarly 

K323 is the isogonal transform of K155 = EAC2 = equalareas (second) cevian cubic, the isotomic transform of K766 = pK(X75, X350) and the GHirst transform of K770. It meets the line at infinity at the same points as the Steiner ellipse and has only one real asymptote. See a generalization in CL041. K323 is the locus of P whose cevian triangle is perspective (at Q) to the 2nd Sharygin triangle. The locus of Q is K961 = pK(X1914, X8301). Compare with K132. See also K673. *** K323 is the cornerstone of a group of 12 cubics all related between themselves under isogonal, isotomic, GHirst conjugations – denoted g, t, h in the following diagram – or a product of these such as e = gtg which is X(32)isoconjugation. All these cubics are weak cubics and contain a good number of ETC centers. A similar group of strong cubics is obtained when K323 is replaced with K718. 
