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Cevian Triangle

\begin{figure}\begin{center}\BoxedEPSF{CevianTriangle.epsf scaled 750}\end{center}\end{figure}

Given a center $\alpha:\beta:\gamma$, the cevian triangle is defined as that with Vertices $0:\beta:\gamma$, $\alpha:0:\gamma$, and $\alpha:\beta:0$. If $A'B'C'$ is the Cevian Triangle of $X$ and $A''B''C''$ is the Anticevian Triangle, then $X$ and $A''$ are Harmonic Conjugate Points with respect to $A$ and $A'$.

See also Anticevian Triangle

© 1996-9 Eric W. Weisstein