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

is the Circumradius of the original Triangle $\Delta ABC$ . The second Yff triangle is formed by connecting the Isotomic Conjugate Points of

, and

See also Yff Points

References

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