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∑ a (a^3 b^3 - a^2 b^2 c^2 + a^3 c^3 - b^3 c^3) x (c^2 y^2 - b^2 z^2) = 0

X(1), X(43), X(87), X(1045), X(2664), X(2665), X(3510), X(7168)

excenters

vertices of the cevian triangle of X(3510)

Geometric properties :

An isogonal pK anharmonically equivalent to K131 must have its pivot on the rectangular diagonal hyperbola passing through the in/excenters and the centers X(3509), X(3510). These two latter points are the pivots of K1025, K1026 respectively.

See K1025 for other properties and also Table 67.