Symmedian

Just as you referred to a Seitenhalbierende a triangle as medians is called the mirror image of a median line at the corresponding angle bisector ( ie, at the angle bisector that emanates from the same corner as the Seitenhalbierende ) Symmediane. The term is an abbreviation for " symmetrical medians ," comes from the Greek and means " reflection at the center line ."

The three Symmedianen of a triangle intersect at a point, called the point lemoineschen ( Lemoinepunkt ), which is also called Grebe point or Symmedianenpunkt. This can be proved with the help of the theorem of Ceva.

The intersection of a non -canonical Symmedianen is excellent in point of the triangle.

• Triangle geometry