The half-altitude circle is the circumcircle of the half-altitude triangle. The circle function is given by
(1)
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where
(2)
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which is not a Kimberling center.
The center has center function
(3)
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where
(4)
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which is not a Kimberling center. The radius is given by
(5)
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where
(6)
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No Kimberling centers lie on the half-altitude circle.