Euclid's Elements

E190161

Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.

All labels observed (6)

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Statements (53)

Predicate Object
instanceOf ancient Greek work
geometry textbook
mathematical treatise
author Euclid
book10Focus incommensurables
book11Focus solid geometry
book12Focus method of exhaustion
book13Focus regular polyhedra
book1Contains Pythagorean theorem
book1Focus plane geometry
book2Focus geometric algebra
book3Focus circle geometry
book4Focus construction of regular polygons
book5Focus theory of proportion
book6Focus similar figures
book7Focus elementary number theory
book8Focus number theory and geometric progressions
book9Focus number theory and infinite primes
classification classical mathematics text
contains common notions
definitions
postulates
proofs
propositions
countryOfOrigin Ancient Greece
linked to: Greek Antiquity
dateWritten circa 300 BC
field geometry
mathematical logic
mathematical proof
number theory
hasEdition Arabic translations
English translations
Latin translations
influenced Bertrand Russell
David Hilbert
Isaac Newton
René Descartes
Western mathematical education
foundations of mathematics
language Ancient Greek
notableEditor David Hilbert
Johannes Kepler
notableResult Pythagorean theorem proof
classification of regular polyhedra
proof of the infinitude of prime numbers
notableTranslator Adelard of Bath
Campanus of Novara
numberOfBooks 13
structure axiomatic system
usesMethod deductive reasoning
synthetic geometry
wasStandardTextbookDuration over two millennia
wasStandardTextbookFor geometry

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Referenced by (14)

Full triples — surface form annotated when it differs from this entity's canonical label.

Platonic solids describedIn Euclid's Elements
Geometry (Descartes) field Euclidean geometry
subject linked to: Geometry
linked to: Euclid's Elements
Cartesian coordinate system belongsToField Euclidean geometry
linked to: Euclid's Elements
Grundlagen der Geometrie subject Euclidean geometry
linked to: Euclid's Elements
Grundlagen der Geometrie influencedBy Euclid's Elements
Ethica, ordine geometrico demonstrata inspiredBy Euclidean geometry
linked to: Euclid's Elements
Euclid hasPart Book I of the Elements
linked to: Euclid's Elements
Euclides adauctus et methodicus workExpanded Elements of Euclid
linked to: Euclid's Elements
Commentary on the Difficulties of Certain Postulates of Euclid influencedBy Elements (Euclid)
linked to: Euclid's Elements
Book XIII of Euclid's Elements partOf Euclid's Elements
Proclus commentedOn Euclid's Elements
Thomas Heath notableWork The Thirteen Books of Euclid’s Elements
linked to: Euclid's Elements