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S^2 xyz + ∑ a^2 y z (c^2 y + b^2 z) = 0, or equivalently S^2 xyz + ∑ a^2 x (c^2 y^2 + b^2 z^2) = 0, with S = 2*area(ABC) 

centers of the Apollonian circles points A', B', C' on (O) whose Simson lines S(A'), S(B'), S(C') pass through G : these points lie on nK0(X6, X5304) infinite points of nK0(X6, X5304) 

K634 is an isogonal nK with root X(6) comparable to the Kjp cubic K024. See also Table 44. Locus properties

