%0 Journal Article
%T Archimedes' balance and Bianchi's Backlund transformation for quadrics
%A Ion Dinca
%J Mathematics
%D 2007
%I arXiv
%X We establish a link between Archimedes' method of integration for calculating areas, volumes and centers of mass of segments of parabolas and quadrics of revolution by factorization via the moments of a balance and an integration technique for a particular integrable system, namely Bianchi's B\"{a}cklund transformation for quadrics.
%U http://arxiv.org/abs/0709.4222v4