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    Circumcircle Mid-arc Triangle

    Definition

    The circumcircle mid-arc triangle is the triangle whose vertices are given by the circumcircle mid-arc points of a given reference triangle. Its trilinear vertex matrix is [-a | b + c | b + c a + c | -b | a + c a + b | a + b | -c]. The following table gives the centers of the circumcircle mid-arc triangle in terms of the centers of the reference triangle for Kimberling centers X_n with n<=100.