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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.




© 1996-9 Eric W. Weisstein
1999-05-26