Centers of mass of Poncelet polygons, 200 years after
arXiv:1607.04766
Abstract
The locus of the centers of mass of the family of Poncelet polygons, inscribed into a conic $Î$ and circumscribed about a conic $γ$, is a conic homothetic to $Î$.
Published in the Mathematical Intelligencer, v. 38, No 2 (2016)