Power Point

Triangle centers with Triangle Center Functions of the form $\alpha=a^n$ are called $n$th Power points. The 0th power point is the Incenter, with Triangle Center Function $\alpha=1$.

See also Incenter, Triangle Center Function

References

Groenman, J. T. and Eddy, R. H. ``Problem 858 and Solution.'' Crux Math. 10, 306-307, 1984.

Kimberling, C. ``Problem 865.'' Crux Math. 10, 325-327, 1984.

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