Ceva's Theorem

Ceva's Theorem (pronounced "Cheva") is a very popular theorem in elementary geometry. Given a triangle ABC, and points D, E, and F that lie on lines AB, BC, and CA respectively, the theorem states that lines AD, BE and CF are concurrent if and only if
\frac{AF}{FB} \cdot \frac{BD}{DC} \cdot \frac{CE}{EA} = 1.
It was first proved by Giovanni Ceva.

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