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

Content Provider	Springer Nature Link
Author	Corry, Leo
Copyright Year	2013
Abstract	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 arithmetic books of the Euclidean treatise. Thus, while most of the Latin versions of the Elements had duly preserved the purely geometric spirit of Euclid’s original, the specific text that played the most prominent role in the initial passage of the Elements from manuscript to print—i.e., Campanus’ version—followed a different approach. On the one hand, Book II itself continued to appear there as a purely geometric text. On the other hand, the first ten results of Book II could now be seen also as possibly translatable into arithmetic, and in many cases even as inseparably associated with their arithmetic representation.
Starting Page	637
Ending Page	705
Page Count	69
File Format	PDF
ISSN	00039519
Journal	Archive for History of Exact Sciences
Volume Number	67
Issue Number	6
e-ISSN	14320657
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-07-18
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	History of Mathematical Sciences Philosophy of Science History of Science Mathematics Astronomy, Observations and Techniques History and Philosophical Foundations of Physics
Content Type	Text
Resource Type	Article
Subject	Mathematics History and Philosophy of Science

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