The MacBeath circumconic is the dual conic to the MacBeath inconic, introduced in Dec. 2004 by P. Moses (Kimberling). It has circumconic parameters
 |
(1)
|
and so has trilinear equation
 |
(2)
|
Its center is the symmedian point 
.
When it is a circumellipse, it has area
 |
(3)
|
The conic passed through Kimberling centers 
for 
(the focus of the Kiepert
parabola), 287, 648 (the trilinear pole of
the Euler line), 651, 677, 895, 1331, 1332, 1797, 1813,
1814, and 1815.
