On any triangle, the three lines obtained by reflecting the medians in the (internal) angle bisectorsMathworldPlanetmath are called the symmediansMathworldPlanetmath of the triangle.

In the picture, BX is angle bisector and BM a median. The reflection of BM on BX is BN, a symmedian.

It can be stated as symmedians are isogonal conjugatesMathworldPlanetmath of medians.

Title symmedian
Canonical name Symmedian
Date of creation 2013-03-22 12:10:55
Last modified on 2013-03-22 12:10:55
Owner drini (3)
Last modified by drini (3)
Numerical id 6
Author drini (3)
Entry type Definition
Classification msc 51M99
Related topic Triangle
Related topic LemoinePoint
Related topic GergonnePoint
Related topic Isogonal
Related topic IsogonalConjugate
Related topic FundamentalTheoremOnIsogonalLines
Related topic LemoineCircle