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

AD is a cevian of ABC.

If D is the midpointMathworldPlanetmathPlanetmathPlanetmath of BC, then the cevian AD is a median. If AD is perpendicularPlanetmathPlanetmath 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