The nine point circle is part of non-Euclidean geometry. It can be constructed for any given triangle and passes through nine significant points. Those nine points are:
Website created by Amy Edwards, Hannah Gottlieb, and Michael Kedroske for Math 431 at the University of Michigan, Ann Arbor, December 2013.
- The midpoint of each side of the triangle
- The foot of each altitude
- The midpoint of the segment on the altitude between the vertex and the orthocenter.
Website created by Amy Edwards, Hannah Gottlieb, and Michael Kedroske for Math 431 at the University of Michigan, Ann Arbor, December 2013.