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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