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K552

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X(76), X(99)

Brocard points

vertices of the first Brocard triangle

K552 is a cubic passing through the Brocard points and the vertices of the first Brocard triangle.

It also contains :

• the Steiner points X(99) and its two bicentric mates S1, S2 on the trilinear polar of X(523),

• the second intersection E of the Brocard circle and the line through O and X(99),

• the intersection of the line through the Brocard points and the trilinear polar of X(523).