Ceva's theorem
Ceva's Theorem is a very useful theorem in elementary geometry. It states that in a triangle ABC, three lines AD, BE and CF joining vertices with the opposite sides intersect at a single point if and only if AF/FB ÃÂ÷ BD/DC ÃÂ÷ CE/EA = 1It was first proved by Giovanni Ceva and is very popular among schoolchildren all over the world.