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Van Aubel theorem (Theorem)

Let $ABC$ be a triangle and $AD,BE,CF$ concurrent cevians at $P$.

\includegraphics{aubel}
Then
\begin{displaymath}\frac{CP}{PF} =\frac{CD}{DB} +\frac{CE}{EA}\end{displaymath}



"Van Aubel theorem" is owned by drini. [ owner history (1) ]
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See Also: proof of Van Aubel's theorem, Ceva's theorem, proof of Van Aubel theorem, trigonometric version of Ceva's theorem


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proof of Van Aubel's theorem (Proof) by mathcam
proof of Van Aubel theorem (Proof) by drini
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Cross-references: cevians, concurrent, triangle

This is version 4 of Van Aubel theorem, born on 2003-10-28, modified 2003-10-28.
Object id is 5412, canonical name is VanAubelTheorem.
Accessed 2155 times total.

Classification:
AMS MSC51N20 (Geometry :: Analytic and descriptive geometry :: Euclidean analytic geometry)

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