The Stammler circle is the circumcircle of the Stammler triangle. Unexpectedly, it has center
at the circumcenter
(
)
of the reference triangle and radius
(Ehrmann and van Lamoen 2002).
It has circle function
where
is the area of the reference triangle.
The circle passes through the Parry reflection point
.
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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