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SKETCHPAD files showing animations for an intriguing property of the center of mass for points on quadratic curves and surfaces can be downloaded here.

For details, please see the paper by Leonid Hanin, Robert J. Fisher and Boris L. Hanin, An Intriguing Property of the Center of Mass for Points on Quadratic Curves and Surfaces, Mathematics Magazine, No. 5 Vol. 80 (2007), pp 353-362.

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