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Brocard points

vertices of the first Brocard triangle

K545 is a remarkable cubic with three real asymptotes concurring at G. These asymptotes are inflexional with inflexion points at infinity.

The hessian cubic of K545 is the union of the line at infinity and the two imaginary lines passing through G and the infinite points of the Steiner ellipses. Each of these two lines contains three imaginary inflexion points. The polar conic of G is the line at infinity counted twice.

The isogonal transform of K545 is K546.