Tangential Triangle Circumcenter

A Point with Triangle Center Function

$$\alpha=a[b^2\cos(2B)+c^2\cos(2C)-a^2\cos(2A)].$$

It lies on the Euler Line.

References

Kimberling, C. ``Central Points and Central Lines in the Plane of a Triangle.'' Math. Mag. 67, 163-187, 1994.