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– 2 a b c (a + b + c) xyz + ∑ a^2 y z (c^2 y + b^2 z) = 0 

X(1), X(876), X(885), X(2283), X(3573), X(23343), X(23352), X(23353), X(23354), X(23355) centers of the Apollonian circles points A', B', C' on (O) whose Simson lines pass through the center of (C) : these points lie on nK0(X6, X5275) infinite points of nK0(X6, X5275) 

K635 is an isogonal cK with root X(6) comparable to the Kjp cubic K024. See Table 44 and also Table 69. K635 is a nodal cubic with node the incenter X(1). Locus properties




Since K635 is a weak cubic, it is associated by extraversion to three other nodal cubics namely : K635A = cK(#Ia, X6), K635B = cK(#Ib, X6), K635C = cK(#Ic, X6), where Ia, Ib, Ic are the excenters of ABC. Naturally, each cubic contains the corresponding extraversions of the weak points X(876), X(885), X(2283). 
