# cevian

A cevian of a triangle, is any line segment joining a vertex with a point of the opposite side.

$AD$ is a cevian of $\triangle ABC$.

If $D$ is the midpoint of $BC$, then the cevian $AD$ is a median. If $AD$ is perpendicular to $BC$, then the cevian is a height.

 Title cevian Canonical name Cevian Date of creation 2013-03-22 12:10:57 Last modified on 2013-03-22 12:10:57 Owner CWoo (3771) Last modified by CWoo (3771) Numerical id 9 Author CWoo (3771) Entry type Definition Classification msc 51M99 Related topic Triangle Related topic CevasTheorem Related topic ProofOfApolloniusTheorem2 Related topic TrigonometricVersionOfCevasTheorem Related topic Median Related topic HeightOfATriangle