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X(384), X(698), X(733), X(1916), X(2076), X(3224), X(5000), X(5001) imaginary foci of the Brocard ellipse i.e. common points of the Brocard axis and the Kiepert hyperbola |
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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). |