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 $\mathrm{△}ABC$.

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