Feuerbach's Hyperbola: passes through the incenter, the orthocenter, the Nagel point and many others

[alatorre (Alejandro Latorre Chirot)]

Feuerbach’s point is the point where Euler’s circle (or 9 points) is tangent to the circle inscribed in the triangle. The Feuerbach hyperbola has Feuerbach’s point as its center, passes through the three vertices of the triangle, passes through the incenter, the orthocenter, the Nagel point, the Gergonne point, the mittenpunkt and many other important points.

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