Elements
E537783
Elements is Euclid’s foundational mathematical treatise that systematically presents the principles of geometry and number theory and became one of the most influential works in the history of mathematics.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Elements canonical | 8 |
How this entity was disambiguated
This entity first appeared as the object of triple T5658061 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Elements Context triple: [Euclid, notableWork, Elements]
-
A.
Elemental
Elemental is a 2023 Pixar animated film set in a city where fire, water, earth, and air residents coexist, following a fiery young woman and a laid-back water man as they challenge societal divisions.
-
B.
Crystals
"Crystals" is an indie folk/pop song by Icelandic band Of Monsters and Men, known for its anthemic sound and prominent use in film and television.
-
C.
Mattertal
Mattertal is a high alpine valley in the Swiss canton of Valais, known for its dramatic peaks including the Matterhorn and its popular mountaineering and ski resorts.
-
D.
Elementa chemiae
Elementa chemiae is an influential early 18th-century chemistry textbook by Herman Boerhaave that systematically organized and advanced contemporary chemical knowledge.
-
E.
Gems
Gems is a 1994 studio album by American R&B and soul singer Patti LaBelle that features a mix of contemporary R&B, pop, and gospel-influenced tracks.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Elements Target entity description: Elements is Euclid’s foundational mathematical treatise that systematically presents the principles of geometry and number theory and became one of the most influential works in the history of mathematics.
-
A.
Elemental
Elemental is a 2023 Pixar animated film set in a city where fire, water, earth, and air residents coexist, following a fiery young woman and a laid-back water man as they challenge societal divisions.
-
B.
Crystals
"Crystals" is an indie folk/pop song by Icelandic band Of Monsters and Men, known for its anthemic sound and prominent use in film and television.
-
C.
Mattertal
Mattertal is a high alpine valley in the Swiss canton of Valais, known for its dramatic peaks including the Matterhorn and its popular mountaineering and ski resorts.
-
D.
Elementa chemiae
Elementa chemiae is an influential early 18th-century chemistry textbook by Herman Boerhaave that systematically organized and advanced contemporary chemical knowledge.
-
E.
Gems
Gems is a 1994 studio album by American R&B and soul singer Patti LaBelle that features a mix of contemporary R&B, pop, and gospel-influenced tracks.
- F. None of above. chosen
Statements (54)
| Predicate | Object |
|---|---|
| instanceOf |
foundational work in mathematics
ⓘ
geometry textbook ⓘ mathematical treatise ⓘ |
| alsoKnownAs | Euclid's Elements ⓘ |
| author | Euclid ⓘ |
| classification | Euclidean geometry foundation ⓘ |
| contains |
axioms
ⓘ
definitions ⓘ postulates ⓘ proofs ⓘ propositions ⓘ |
| countryOfOrigin |
Ancient Greece
ⓘ
linked to:
Greek Antiquity
|
| dateWritten | circa 300 BC ⓘ |
| field |
geometry
ⓘ
mathematical logic ⓘ number theory ⓘ |
| firstPrintedEdition | circa 1482 in Venice ⓘ |
| genre | mathematical textbook ⓘ |
| hasPart |
Book I
ⓘ
Book II ⓘ Book III ⓘ Book IV ⓘ Book IX ⓘ Book V ⓘ Book VI ⓘ Book VII ⓘ Book VIII ⓘ Book X ⓘ Book XI ⓘ Book XII ⓘ Book XIII ⓘ |
| hasPostulate | parallel postulate ⓘ |
| influenced |
Bertrand Russell
ⓘ
Euclidean geometry ⓘ Galileo Galilei ⓘ Isaac Newton ⓘ René Descartes ⓘ Western mathematics ⓘ mathematical education ⓘ philosophy of mathematics ⓘ |
| notableFor |
logical deductive structure
ⓘ
systematic axiomatic method ⓘ |
| numberOfBooks | 13 ⓘ |
| originalLanguage | Ancient Greek ⓘ |
| subjectOf |
Pythagorean theorem
ⓘ
incommensurables ⓘ number theory of primes and perfect numbers ⓘ plane geometry ⓘ proportion theory ⓘ solid geometry ⓘ |
| translation |
Arabic translations in the Islamic Golden Age
ⓘ
Latin translations in late antiquity and Middle Ages ⓘ numerous modern European languages ⓘ |
| usedAs | standard mathematics textbook for centuries ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Elements Description of subject: Elements is Euclid’s foundational mathematical treatise that systematically presents the principles of geometry and number theory and became one of the most influential works in the history of mathematics.
Referenced by (8)
Full triples — surface form annotated when it differs from this entity's canonical label.