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Schiffler Point

\begin{figure}\begin{center}\BoxedEPSF{schiffler_point.epsf scaled 1000}\end{center}\end{figure}

The Concurrence $S$ of the Euler Lines $E_n$ of the Triangles $\Delta XBC$, $\Delta XCA$, $\Delta XAB$, and $\Delta ABC$ where $X$ is the Incenter. The Triangle Center Function is

\alpha={1\over \cos B+\cos C}={b+c-a\over b+c}.


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

Kimberling, C. ``Schiffler Point.''

Schiffler, K.; Veldkamp, G. R.; and van der Spek, W. A. ``Problem 1018 and Solution.'' Crux Math. 12, 176-179, 1986.

© 1996-9 Eric W. Weisstein