Home page  Catalogue  Classes  Tables  Glossary  Notations  Links  Bibliography  Thanks  Downloads  Related Curves 

∑ [a^2 (y  z)  (b^2  c^2) x] y^2 z^2 = 0 ∑ a^2 y z (y  z) (x^2  y z) = 0 

X(2), X(6), X(7), X(13), X(14), X(673), X(694), X(6189), X(6190) 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 X(6189), X(6190) : 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 circumquintic 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 :
See a generalization in Table 28 : cevian and anticevian points and also Cax(F) in CL047. The isogonal transform of Q012 is Q090. 
