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X(1), X(8), X(145), X(188), X(2136), X(3680), X(6553), X(8834) X(3680) = X(145)* = a (b+ca) / (b+c3a) : : , isoconjugate of the pivot = reflection of X(2136) in X(1) 

K201 is a central pK with center X(1) incenter, pole X(9) mittenpunkt, pivot X(145) Nagel point of the antimedial triangle. The tangents at X(1) and X(8) pass through X(9). The asymptotes pass through X(1) and the midpoints of ABC. The isogonal transform of K201 is pK(X604, X1420) and its isotomic transform is pK(X85, E) where E = (b+c3a) / [a(b+ca)] : : . The symbolic substitution SS{a > a^2} transforms K201 into K707. See K830, K831, two other central cubics with center X(1). All the cubics in {K201, K365, K747, K748, K761, K1077, K1078, K1079, K1082} are anharmonically equivalent. 
