X(4), X(5), X(52), X(847)
infinite points of the McCay cubic
vertices of orthic triangle i.e. feet of altitudes
traces of the cevian lines of X(847) on the orthic triangle sidelines
imaginary foci of the Brocard ellipse i.e. common points of the Brocard axis and the Kiepert hyperbola
Ix-anticevian points : see Table 23
It is a pK60+ with pole X(53), pivot X(4). Its three real asymptotes are parallel to those of the McCay cubic and concur at X(51) = X(2)-orthic.
K049 is tangent at X(4) to the Euler line and tangent at A, B, C to the cevian lines of X(5).
K049 is a member of the pencil of stelloids generated by the McCay cubic and the union of the line at infinity with the Kiepert hyperbola.
The isogonal transform of K049 is K373 = pK(X14533, X54).
K049 is spK(X3, X389) as in CL055.
K957 is the Hessian of K049.