Mittenpunkt
The center point (not to be confused with the center ) is one of the special points of a triangle. It is obtained in that one connects the center points of the three excircles the given triangle with the associated side centers. The resulting connecting lines intersect at the center point. This property was proved in 1836 by the German mathematician Christian Heinrich von Nagel.
Properties
- The center point is also the Lemoine point of the triangle determined by the three Ankreismittelpunkte.
- The center point is the incenter and the Lemoine point on a straight line.
- The center point is the center of gravity and the Gergonne point on a straight line.
- The center point is the orthocenter and the Spieker point on a straight line.