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 Feuerbach Point Distances: Illustration

The Feuerbach Point of a triangle ABC is the point where the incircle touches the nine-point circle circle of ABC.

The figure below show the following distances:
1. Distance between the Feuerbach point F and the midpoints M, E, and D of the sides.
2. Distance between the Feuerbach point F and the incenter I.
3. Distance between the Feuerbach point F and the Nine point center N.
4. Distance between the Feuerbach point F and the centroid G.
5. Distance between the Feuerbach point F and the Spieker center S.
See also: circumcenter, symmedian or Lemoine point, and Feuerbach theorem.
 

 

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