Fall 2016 - Professor Kate Poirier

Ceva’s Theorem — Statement:

Let $\triangle A B C$ be a triangle. Let $D$, $E$, and $F$ be points on the segments $\overline{BC}$, $\overline{AC}$ and $\overline{AB}$ respectively. Then the segments $\overline{AD}$, $\overline{BE}$ and $\overline{CF}$ are concurrent if and only if the product of quotients of the lengths $\frac{AF}{FB} \cdot \frac{BD}{DC} \cdot \frac{CE}{EA}$ is equal to $1$.