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X(2), X(291), X(350), X(447), X(519), X(903) points at infinity of the Steiner ellipses 

K296 is an isotomic conicopivotal isocubic. Its node is G with nodal tangents parallel to the asymptotes of the circumconic (H) through G and X(7), the Gergonne point. It meets the Steiner circumellipse at infinity and at A, B, C, X(903). The real asymptote is the line X(190)X(519). K296 is a member of the class CL031. It is also a tripolar centroidal cubic of the class CL045. K296 is the transform of (H) under the Hirst transformation with pole G with respect to the Steiner circumellipse. In barycentric coordinates, this is the mapping (x : y : z)> (x^2yz : y^2zx : z^2xy). Hence, K296 contains all the images of the points of (H) under this transformation, most of them not mentioned in ETC. Compare K296 and K185. 
