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 (10)

How this entity was disambiguated

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 ⓘ

How these facts were elicited

Referenced by (29)

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
Great Books of the Western World → hasPart → Works of Euclid ⓘ
linked to: Euclid's Elements
Playfair's axiom → relatedConcept → Euclid's Elements ⓘ
Elements of Geometry → basedOn → Euclid's Elements ⓘ
Elements → alsoKnownAs → Euclid's Elements ⓘ
Book V of the Elements → partOf → Euclid's Elements ⓘ
Book X of the Elements → partOf → Euclid's Elements ⓘ
Treatise on the Division of Quadrants → buildsUpon → Elements by Euclid ⓘ
linked to: Euclid's Elements
Éléments de géométrie → influencedBy → Euclid's Elements ⓘ
Campanus of Novara → hasInfluentialEditionOf → Euclid’s Elements ⓘ
linked to: Euclid's Elements
Book XII of Euclid's Elements → partOf → Euclid's Elements ⓘ
Commentary on Euclid's Elements → subject → Euclid's Elements ⓘ
On the Principles of Geometry → influencedBy → Euclid’s Elements ⓘ
linked to: Euclid's Elements
On the Composition of Ratios → influencedBy → Elements by Euclid ⓘ
linked to: Euclid's Elements
On the Composition of Ratios → relatedWork → works of Euclid on proportion ⓘ
linked to: Euclid's Elements