# symmedian

On any triangle, the three lines obtained by reflecting the medians in the (internal) angle bisectors are called the symmedians 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 conjugates 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