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X(112), X(2799), X(4235), X(5000), X(5001), X(8430)

A', B', C' : traces of the orthic axis

K829 is an example of circular nK passing through X(5000), X(5001). See Table 55.

The singular focus F is X(187). X(8430) is the intersection with the real asymptote i.e. the tangential of X(2799).

K829 meets the line at infinity – resp. the circumcircle – at the same points as pK(X6, X2799) – resp. pK(X6, X525).

K829 meets K018 at A, B, C, X(5000), X(5001), the circular points at infinity and two other points on the parallel at G to the real asymptote.