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K449

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X(4), X(20), X(30), X(146), X(265), X(1138), X(1294)

vertices of the antimedial triangle

K449 is the anticomplement of K446, also the image of K427 under the homothety h(H, -1/2).

It is a circular cubic with focus F = X(7728), the midpoint of H-X(146) or the reflection of X(74) in X(5).

The orthic line is the Euler line and the real asymptote is that of the Neuberg cubic.

K449 is the locus of pivots of circular pKs that pass through X(30) i.e. that have a real asymptote and an orthic line parallel to the Euler line. The locus of their poles is K1348 = psK(X1495, X2, X6) and the locus of their isopivots is K446.