X(2), X(6), X(7), X(13), X(14), X(673), X(694)
extraversions of X(7), X(673), X(694)
points at infinity of the Steiner ellipse and the Thomson cubic
midpoints of ABC with tangents passing through K
intersections of the axes of the Steiner ellipse and the circumcircle
intersections of the Steiner ellipse and the line GK
6 points on the symmedians: (±bc,b^2,c^2), (a^2,±ac,c^2), (a^2,b^2,±ab)
Q012 is a circum-quintic with four nodes namely A, B, C, G.
The nodal tangents at A, B, C are the corresponding internal and external bisectors. The nodal tangents at G are the axes of the Steiner ellipse.
Q012 has three real asymptotes parallel to those of the Thomson cubic and concurring at K. It has also two imaginary asymptotes secant at X(599).
Locus properties :
The isogonal transform of Q012 is Q090.