Elements of Geometry
E519272
Elements of Geometry is a widely used 18th-century textbook by John Playfair that modernized and clarified Euclid’s geometric principles for mathematical education.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Elements of Geometry canonical | 3 |
How this entity was disambiguated
This entity first appeared as the object of triple T5438491 — 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 of Geometry Context triple: [John Playfair, notableWork, Elements of Geometry]
-
A.
Introduction to Geometry
"Introduction to Geometry" is a classic textbook by H. S. M. Coxeter that systematically develops both Euclidean and non-Euclidean geometry with an emphasis on rigorous foundations and elegant geometric insights.
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B.
Grundlagen der Geometrie
Grundlagen der Geometrie is David Hilbert’s foundational 1899 treatise that rigorously axiomatizes Euclidean geometry and helped shape modern mathematical logic and the axiomatic method.
-
C.
De institutione geometrica
De institutione geometrica is a late antique Latin treatise on geometry that adapts and transmits classical Greek mathematical knowledge within the framework of the quadrivium.
-
D.
The Foundations of Geometry
The Foundations of Geometry is a seminal mathematical text by Oswald Veblen that rigorously develops the axiomatic basis of geometry in a modern, logical framework.
-
E.
Vorlesungen über Geometrie
Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
- 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 of Geometry Target entity description: Elements of Geometry is a widely used 18th-century textbook by John Playfair that modernized and clarified Euclid’s geometric principles for mathematical education.
-
A.
Introduction to Geometry
"Introduction to Geometry" is a classic textbook by H. S. M. Coxeter that systematically develops both Euclidean and non-Euclidean geometry with an emphasis on rigorous foundations and elegant geometric insights.
-
B.
Grundlagen der Geometrie
Grundlagen der Geometrie is David Hilbert’s foundational 1899 treatise that rigorously axiomatizes Euclidean geometry and helped shape modern mathematical logic and the axiomatic method.
-
C.
De institutione geometrica
De institutione geometrica is a late antique Latin treatise on geometry that adapts and transmits classical Greek mathematical knowledge within the framework of the quadrivium.
-
D.
The Foundations of Geometry
The Foundations of Geometry is a seminal mathematical text by Oswald Veblen that rigorously develops the axiomatic basis of geometry in a modern, logical framework.
-
E.
Vorlesungen über Geometrie
Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
- F. None of above. chosen
Statements (31)
| Predicate | Object |
|---|---|
| instanceOf |
18th-century book
ⓘ
mathematics textbook ⓘ |
| author | John Playfair ⓘ |
| basedOn | Euclid's Elements ⓘ |
| contributor | John Playfair ⓘ |
| countryOfOrigin | Scotland ⓘ |
| educationalUse |
school instruction
ⓘ
university instruction ⓘ |
| fieldOfStudy | Euclidean geometry ⓘ |
| follows | Euclidean method of proof ⓘ |
| genre |
educational book
ⓘ
mathematics education ⓘ |
| hasPart |
axioms
ⓘ
definitions ⓘ postulates ⓘ proofs ⓘ propositions ⓘ |
| historicalPeriod |
Enlightenment
ⓘ
linked to:
Age of Enlightenment
|
| influenced | 19th-century mathematics education ⓘ |
| influencedBy | Euclid ⓘ |
| intendedAudience |
students of mathematics
ⓘ
teachers of mathematics ⓘ |
| language | English ⓘ |
| mainSubject | geometry ⓘ |
| notableFor |
clarity of exposition
ⓘ
modernizing Euclid's axiomatic approach ⓘ wide use in mathematical education ⓘ |
| publicationCentury | 18th century ⓘ |
| purpose |
to clarify Euclidean geometry for students
ⓘ
to modernize Euclid's geometric principles ⓘ |
| title | Elements of Geometry ⓘ |
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 of Geometry Description of subject: Elements of Geometry is a widely used 18th-century textbook by John Playfair that modernized and clarified Euclid’s geometric principles for mathematical education.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.