# Ceva, Giovanni (1647–1734)

Giovanni Ceva was a Jesuit-trained Italian mathematician who specialized in geometry.
His greatest discovery, now known as **Ceva's theorem**, can
be stated as follows. Given a triangle with vertices (corners), *A*, *B*, and *C* and points *D*, *E*, and *F* on the opposite sides, the lines *AD*, *BE*, and *CF* will intersect at a single point if *BD* × *CE* × *AF* = *DC* × *EA* × *FB*.

The term **Cevian line** was coined by French geometers around
the end of the 18th century to honor Ceva. It is defined as any line joining
a vertex of a triangle to a point on the
opposite side. The median, altitude,
and angle bisector are all examples of Cevians. The perpendicular bisector,
however, in most cases, is not a Cevian because it doesn't usually pass
through a vertex.