Centers of mass of Poncelet polygons, 200 years after

2016/07/16 by Schwartz, R., Tabachnikov, S. · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #History and Overview (math.HO) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1607.04766

Abstract

The locus of the centers of mass of the family of Poncelet polygons, inscribed into a conic Γ and circumscribed about a conic γ, is a conic homothetic to Γ.

Cited by

• Poncelet triangles: conic loci of the orthocenter and of the isogonal conjugate of a fixed point

Related

• More about areas and centers of Poncelet polygons
• Poncelet triangles: conic loci of the orthocenter and of the isogonal conjugate of a fixed point
• A vector bundle proof of Poncelet theorem
• Loci of Poncelet Triangles in the General Closure Case
• Poncelet Triangles: a Theory for Locus Ellipticity