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Elements

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Also known as Euclid's Elements, Elements by Euclid, Euc.

mathematical treatise by Euclid

AI overview

"Elements" is a mathematical textbook written by the ancient Greek mathematician Euclid that systematically presents geometry and number theory through logical proofs and definitions. It became one of the most influential and widely used educational texts in history, shaping how mathematics was taught and understood for over two thousand years.

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Book · Open Library

Author
Euclid
First published
1482
Editions
171
Subjects
Fundamentos Da Geometria, great_books_of_the_western_world, Geometria Analitica, Mathematics, Geometria, Géométrie, Algebra, great_books

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Internet Archive

audio

AiA 243: Lazy loading in Angular (with Angular Elements) with Juri Strumpflohner

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Wikidata facts

Image
Title page of Sir Henry Billingsley's first English version of Euclid's Elements, 1570 (560x900).jpg
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Commons category
Elements of Euclid
work available at URL
www.claymath.org/euclid/index
title
Στοιχεῖα
entry in abbreviations table
Euc.
inception
0300-00-00
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Article

The Elements (Ancient Greek: Στοιχεῖα Stoikheîa) is a mathematical treatise written c. 300 BC by the Ancient Greek mathematician Euclid.

The Elements is the oldest extant large-scale deductive treatment of mathematics. Drawing on the works of earlier mathematicians such as Hippocrates of Chios, Eudoxus of Cnidus, and Theaetetus, the Elements is a collection in 13 books of definitions, postulates, geometric constructions, and theorems with their proofs that covers plane and solid Euclidean geometry, elementary number theory, and incommensurability. These include the Pythagorean theorem, Thales' theorem, the Euclidean algorithm for greatest common divisors, Euclid's theorem that there are infinitely many prime numbers, and the construction of regular polygons and polyhedra.

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