Nagel point

  Arbitrary triangle △ABC
  Excircles, tangent to the sides of △ABC at TA, TB, TC
  Extouch triangle △TATBTC
  Splitters of the perimeter ATA, BTB, CTC; intersect at the Nagel point N

In geometry, the Nagel point (named for Christian Heinrich von Nagel) is a triangle center, one of the points associated with a given triangle whose definition does not depend on the placement or scale of the triangle. It is the point of concurrency of all three of the triangle's splitters.