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K699

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X(98), X(147), X(1281), X(1916), X(4027), X(5976), X(5989)

vertices of the first anti-Brocard triangle T1

A', B', C' : vertices of the third Brocard triangle of T1

The first anti-Brocard triangle T1= a1b1c1 is defined here.

There is one and only one isogonal pK with respect to T1 which is a circum-cubic of ABC. It is K699 which is also a pK with respect to ABC, namely pK(X385, X5989). K699 is actually the fourth Brocard cubic K020 for T1. Its pivot is X(4027) with respect to T1.

See the related K740.