@inbook{aae994102d1a4b498d7c2a737959c0ce,
title = "Distributivity-like Results in Euclid{\textquoteright}s Elements",
abstract = "The present chapter presents a preliminary overview of some propositions of Books II, V, and VII of Euclid{\textquoteright}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.",
keywords = "Book II, Book V, Book VII, Distributive-like rules, Euclid{\textquoteright}s Elements, Eudoxian theory of proportions",
author = "Leo Corry",
note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.",
year = "2021",
doi = "10.1007/978-3-030-79679-2_2",
language = "الإنجليزيّة",
series = "SpringerBriefs in History of Science and Technology",
publisher = "Springer Nature",
pages = "5--25",
booktitle = "SpringerBriefs in History of Science and Technology",
address = "الولايات المتّحدة",
}