Geometry and arithmetic in the medieval traditions of Euclid’s Elements: a view from Book II

@article{Corry2013GeometryAA,
  title={Geometry and arithmetic in the medieval traditions of Euclid’s Elements: a view from Book II},
  author={Leo Corry},
  journal={Archive for History of Exact Sciences},
  year={2013},
  volume={67},
  pages={637-705}
}
  • L. Corry
  • Published 18 July 2013
  • Mathematics
  • Archive for History of Exact Sciences
This article explores the changing relationships between geometric and arithmetic ideas in medieval Europe mathematics, as reflected via the propositions of Book II of Euclid’s Elements. Of particular interest is the way in which some medieval treatises organically incorporated into the body of arithmetic results that were formulated in Book II and originally conceived in a purely geometric context. Eventually, in the Campanus version of the Elements these results were reincorporated into the… 
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  • N. Sidoli
  • Mathematics
    Archive for History of Exact Sciences
  • 2018
In this paper, I present an interpretation of the use of constructions in both the problems and theorems of Elements I–VI, in light of the concept of given as developed in the Data, that makes a
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