Cevian

$\begin{figure}\begin{center}\BoxedEPSF{Cevian.epsf}\end{center}\end{figure}$

A line segment which joins a Vertex of a Triangle with a point on the opposite side (or its extension). In the above figure,

$\begin{displaymath} s={b\sin\alpha'\over\sin(\gamma+\alpha')}. \end{displaymath}$

References

Thébault, V. ``On the Cevians of a Triangle.'' Amer. Math. Monthly 60, 167-173, 1953.