The circumcircle of the Johnson triangle has center at the orthocenter
of the reference triangle and radius
, where
is the circumradius of the
reference triangle. It is therefore congruent
both to the circumcircle of
and to the Johnson circles.
It has circle function
where
is the area of the reference triangle.
It passes through Kimberling center , which is the reflection of the circumcenter
in the Jerabek center
.