symmedian


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, B⁢X is angle bisector and B⁢M a median. The reflection of B⁢M on B⁢X is B⁢N, 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