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Stammler Circle


StammlerCircle

The Stammler circle is the circumcircle of the Stammler triangle. Unexpectedly, it has center at the circumcenter O (X_3) of the reference triangle and radius 2R (Ehrmann and van Lamoen 2002).

It has circle function

 l=-(3a^2bc)/(16Delta^2),

where Delta is the area of the reference triangle.

The circle passes through the Parry reflection point X_(399).


See also

Central Circle, Stammler Circles, Stammler Triangle

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References

Ehrmann, J.-P. and van Lamoen, F. M. "The Stammler Circles." Forum Geom. 2, 151-161, 2002. http://forumgeom.fau.edu/FG2002volume2/FG200219index.html.

Referenced on Wolfram|Alpha

Stammler Circle

Cite this as:

Weisstein, Eric W. "Stammler Circle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/StammlerCircle.html

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