The tangential circle of a reference triangle is the circumcircle of the tangential
triangle. Its center is Kimberling center 
, which has center function
![alpha_(26)=a[-a^2cos(2A)+b^2cos(2B)+c^2cos(2C)]](/images/equations/TangentialCircle/NumberedEquation1.svg) |
(1)
|
(Kimberling 1994) and its radius is
 |
(2)
|
where 
is the circumradius of the reference
triangle.
It has circle function
 |
(3)
|
corresponding to the circumcenter 
of the reference triangle
(
).
The tangential circle passes through Kimberling center 
.
It is orthogonal to the Stevanović circle.
