Feuerbach's Theorem

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display
tangent points
nine points and altitudes
The nine-point circle of a triangle passes through the feet of the altitudes, the midpoints of the sides, and the midpoints between the vertices and the orthocenter.
The nine-point circle is internally tangent to the incircle and externally tangent to the three excircles.

External Links

Excircles (Wolfram MathWorld)
Feuerbach's Theorem (Wolfram MathWorld)
Incircle (Wolfram MathWorld)
Nine-Point Circle (Wolfram MathWorld)
Orthocenter (Wolfram MathWorld)
Nine-Point Circle

Permanent Citation

Jay Warendorff
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​"Feuerbach's Theorem"​
​http://demonstrations.wolfram.com/FeuerbachsTheorem/​
​Wolfram Demonstrations Project​
​Published: March 7, 2011