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X(368) circular points at infinity more details below 

K899A, K899B, K899C are the three focal cubics E(A2), E(B2), E(C2) in Table 61 where A2B2C2 is the second Brocard triangle. Their singular foci are A, B, C respectively. See the other equibrocardian focals K083A, K083B, K083C. Properties of K899A • The singular focus is A with tangent passing through the trace on BC of L(X512), the trilinear polar of X(512). • The polar conic (Ca) of A is the circle passing through A, A2 and A2', where A2' is the second point of the orthic line GA2 on the Wallace hyperbola. • The real asymptote is the parallel at X(99) to the orthic line and passes through Ka, the Avertex of the circumcevian triangle of X(6). • K899A contains Xa, intersection of the real asymptote and the tangent at A. • K899A contains Ya, intersection of the perpendicular bisector of A2A2' and the line AX(671) which is parallel to the asymptote. • K899A is an isogonal nK in the triangle AA2A2'.

K899A, K899B, K899C generate a net of circular cubics passing through X(368) and each cubic of the net may be written under the form : K899P = p K899A + q K899B + r K899C, where P = p : q : r is any point. With P = X(2), the cubic splits into the line at infinity and the Wallace hyperbola. With P = X(111), the cubic is K018. 


