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Centers of mass of Poncelet polygons, 200 years after

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arxiv 1607.04766 v1 pith:TMDZG6YC submitted 2016-07-16 math.MG math.AGmath.HO

Centers of mass of Poncelet polygons, 200 years after

classification math.MG math.AGmath.HO
keywords conicgammacentersmasspolygonsponceletcircumscribedfamily
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The locus of the centers of mass of the family of Poncelet polygons, inscribed into a conic $\Gamma$ and circumscribed about a conic $\gamma$, is a conic homothetic to $\Gamma$.

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