Mathematical, Computing & Information Sciences

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It is well-known that the catenary is characterized by an extremal centroidal condition: It is the shape of the curve whose centroid is the lowest among all curves having a prescribed length and specified endpoints. Here, we establish a broad characteristic averaging property of the centenary that yields two new centroidal characterizations.

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American Mathematical Monthly, Volume 123, Issue 7, 683 - 688

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Mathematics Commons



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