The Moses-Longuet-Higgins circle is the radical circle of the circles centered at the vertices , , and of a reference triangle with respective radii , , and (P. Moses, pers. comm., Nov. 17, 2005).
Its center has triangle center function
(1)
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where , , and are Conway triangle notation, , , and . This is not a Kimberling center.
It has radius
(2)
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where is the circumradius and the inradius of the reference triangle, and circle function
(3)
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which corresponds to Kimberling center .