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arXiv · 0709.4222

Archimedes' balance and Bianchi's Backlund transformation for quadrics

Ion Dinca
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Abstract

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 Bäcklund transformation for quadrics.

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Ion Dinca. 2012-05-29. Archimedes' balance and Bianchi's Backlund transformation for quadrics. https://arxiv.org/abs/0709.4222

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