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    Third Brocard Point

    Definition

    The third Brocard point has triangle center function α = a^(-3) and is Kimberling center X_76. The point may have received its name since its barycentric coordinates are (a^(-2), b^(-2), c^(-2)), thus completing the cyclic permutation of barycentric coordinates for the first Brocard point, namely (b^(-2), a^(-2), c^(-2)), and the second Brocard point, namely (c^(-2), a^(-2), b^(-2)).

    Associated person

    Pierre René Jean Baptiste Henri Brocard

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