The first Neuberg circle is the circumcircle of the first Neuberg triangle. The center has center function
(1)
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which is not a Kimberling center. Its radius is
(2)
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where
(3)
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and is the area of the reference triangle.
The circle function is
(4)
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which does not correspond to a Kimberling center.
No Kimberling centers lie on the first Neuberg circle.