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    McCay Circles Radical Circle

    Definition

    The radical circle of the McCay circles has center α = - (5a^6 - 6b^2 a^4 - 6c^2 a^4 - 18b^2 c^2 a^2 + 2b^6 + 2c^6 - 3b^2 c^4 - 3b^4 c^2)/a, which is not a Kimberling center, and radius R_M = - ((a^4 - b^2 a^2 - c^2 a^2 + b^4 + c^4 - b^2 c^2) sqrt(f(a, b, c)))/(9(a - b - c)(a + b - c)(a - b + c)(a + b + c)(a^2 + b^2 + c^2)), where f(a, b, c) = 5a^6 - 3b^2 a^4 - 3c^2 a^4 - 3b^4 a^2 - 3c^4 a^2 - 51b^2 c^2 a^2 + 5b^6 + 5c^6 - 3b^2 c^4 - 3b^4 c^2.

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