Distributivity-like Results in Euclid’s Elements

Leo Corry

doi:10.1007/978-3-030-79679-2_2

Distributivity-like Results in Euclid’s Elements

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-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 language	English
Title of host publication	SpringerBriefs in History of Science and Technology
Publisher	Springer Nature
Pages	5-25
Number of pages	21
DOIs	https://doi.org/10.1007/978-3-030-79679-2_2
State	Published - 2021
Externally published	Yes

Publication series

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

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Keywords

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

Access to Document

10.1007/978-3-030-79679-2_2

Cite this

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Distributivity-like Results in Euclid’s Elements

Abstract

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Keywords

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