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Yff Triangles

\begin{figure}\begin{center}\BoxedEPSF{YffTriangle.epsf}\end{center}\end{figure}

The Triangle $\Delta A'B'C'$ formed by connecting the points used to construct the Yff Points is called the first Yff triangle. The Area of the triangle is

\begin{displaymath}
\Delta = {u^3\over 2R},
\end{displaymath}

where $R$ is the Circumradius of the original Triangle $\Delta ABC$. The second Yff triangle is formed by connecting the Isotomic Conjugate Points of $A'$, $B'$, and $C'$.

See also Yff Points


References

Yff, P. ``An Analog of the Brocard Points.'' Amer. Math. Monthly 70, 495-501, 1963.




© 1996-9 Eric W. Weisstein
1999-05-26