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(b^2 - c^2)^2 (c y - b z) y z = 0

X(1), X(11), X(12), X(523), X(1109), X(2588), X(2589), X(2616), X(2618)

A', B', C' : vertices of the incentral triangle

vertices of the anticevian triangle of X(523)

The vertices of the Feuerbach triangle are the extraversions of the Feuerbach point X(11).

K672 is the locus of M such that the anticevian triangle of M and the Feuerbach triangle are perspective at P. (César Lozada, ADGEOM #1168).

The locus of P is K877 = pK(X115, X5), the blue curve on the figure.

K672 meets the line at infinity at X(523) – the corresponding asymptote passing through X(1) – and two other points lying on the circum-conic with perspector X(4024) passing through X(10), X(12), X(80), X(313), X(334), X(502), X(594), X(1089), X(1220), X(1224), X(1268), X(1826), X(2372).