See Clark Kimberling, Cubics Associated with Triangles of Equal Areas, Forum Geometricorum, vol.1, pp.161-171, 2000.
See also K354, K355 and CL041.
K128 is a member of the Thomson-Grebe pencil. See Table 13.
It is a Kiepert AntiCevian Mate of K020. See Table 32.
It is a cubic anharmonically equivalent to K020 as in Table 66.
The isotomic transform of K128 is K738 and its G-Hirst transform is K739.
Locus properties :
- The 1st Neuberg triangle and the anticevian triangle of M are perspective if and only if M lies on K128. The locus of the perspector is K422. See the related K423.
- The 1st (or 3rd) Brocard triangle and the anticevian triangle of M are perspective if and only if M lies on K128 and then the perspector lies on K020.
- See another property here (in Spanish, 2017-11-19, Angel Montesdeoca).