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X(384), X(698), X(733), X(1916), X(2076), X(3224), X(5000), X(5001), X(33665), X(39641), X(39642), X(41517)

X(39641), X(39642) are the imaginary foci of the Brocard ellipse i.e. the common points of the Brocard axis and the Kiepert hyperbola

K828 is an example of circular psK passing through X(5000), X(5001). See Table 55.

K828 meets the line at infinity – resp. the circumcircle – at the same points as pK(X6, X698) – resp. pK(X6, X732).

The tangents at A, B, C are the medians.

The singular focus F = X(14691) lies on the lines X(32), X(99) and X(729), X(3098).

The isogonal transform of K828 is K1283.