Distributivity-like Results in Euclid’s Elements

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

The present chapter presents a preliminary overview of some propositions of Books II, V, and VII of Euclid’s Elements that, retrospectively seen, embody results that we can associate nowadays with a more general idea of distributivity. It focuses on several results and arguments that are handled differently by Euclid in three clearly separate contexts: geometric magnitudes, arithmetic and numbers, and proportions. It also discusses Euclidean propositions where “visible” constructions implicitly use distributive-like properties.

Original languageEnglish
Title of host publicationSpringerBriefs in History of Science and Technology
PublisherSpringer Nature
Pages5-25
Number of pages21
DOIs
StatePublished - 2021

Publication series

NameSpringerBriefs in History of Science and Technology
ISSN (Print)2211-4564
ISSN (Electronic)2211-4572

Keywords

  • Book II
  • Book V
  • Book VII
  • Distributive-like rules
  • Euclid’s Elements
  • Eudoxian theory of proportions

Fingerprint

Dive into the research topics of 'Distributivity-like Results in Euclid’s Elements'. Together they form a unique fingerprint.

Cite this