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∑ (b^2 - c^2)^2 (c y - b z) y z = 0 |
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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) |
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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). |
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