In geometry, the Fuhrmann circle of a triangle, named after the German Wilhelm Fuhrmann (1833–1904), is the circle with a diameter of the line segment between the orthocenter and the Nagel point . This circle is identical with the circumcircle of the Fuhrmann triangle. The radius of the Fuhrmann circle of a triangle with sides a, b, and c and circumradius R is which is also the distance between the circumcenter and incenter.
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