Introduction to Geometry
E412206
"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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Introduction to Geometry canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T4105485 — 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: Introduction to Geometry Context triple: [H. S. M. Coxeter, notableWork, Introduction to Geometry]
-
A.
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.
-
B.
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.
-
C.
Geometry
Geometry is René Descartes’ foundational work that introduced analytic geometry, uniting algebra and Euclidean geometry through the use of coordinates.
-
D.
Vorlesungen über Geometrie
Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
-
E.
Book I of Geometry (Descartes)
Book I of Geometry (Descartes) is the opening section of René Descartes’ seminal work where he introduces his method of applying algebra to geometry, laying the foundations of analytic geometry.
- 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: Introduction to Geometry Target entity description: "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.
-
A.
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.
-
B.
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.
-
C.
Geometry
Geometry is René Descartes’ foundational work that introduced analytic geometry, uniting algebra and Euclidean geometry through the use of coordinates.
-
D.
Vorlesungen über Geometrie
Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
-
E.
Book I of Geometry (Descartes)
Book I of Geometry (Descartes) is the opening section of René Descartes’ seminal work where he introduces his method of applying algebra to geometry, laying the foundations of analytic geometry.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
geometry textbook
ⓘ
mathematics textbook ⓘ |
| author |
H. S. M. Coxeter
ⓘ
Harold Scott MacDonald Coxeter ⓘ
linked to:
H. S. M. Coxeter
|
| countryOfPublication |
United States
ⓘ
linked to:
United States of America
|
| edition |
first edition
ⓘ
second edition ⓘ |
| emphasis |
elegant geometric insights
ⓘ
rigorous foundations ⓘ |
| field |
Euclidean geometry
ⓘ
geometry ⓘ non-Euclidean geometry ⓘ |
| firstPublicationYear | 1961 ⓘ |
| hasSubject |
Euclidean geometry
ⓘ
angle and distance in geometry ⓘ axiomatic foundations of geometry ⓘ classical geometric constructions ⓘ configurations in geometry ⓘ coordinate methods in geometry ⓘ elliptic geometry ⓘ foundations of Euclidean space ⓘ foundations of non-Euclidean geometry ⓘ geometric constructions with compass and straightedge ⓘ geometric inequalities ⓘ geometric transformations ⓘ hyperbolic geometry ⓘ incidence geometry ⓘ inversive geometry ⓘ metric geometry ⓘ non-Euclidean geometry ⓘ polyhedra ⓘ projective geometry ⓘ regular polytopes ⓘ rigorous foundations of geometry ⓘ spherical geometry ⓘ symmetry in geometry ⓘ synthetic geometry ⓘ topological aspects of geometry ⓘ transformational geometry ⓘ vector methods in geometry ⓘ |
| language | English ⓘ |
| mediaType | print ⓘ |
| notableFor |
influence on modern geometry education
ⓘ
systematic development of Euclidean and non-Euclidean geometry ⓘ |
| publisher | John Wiley & Sons ⓘ |
| relatedWork | Regular Polytopes ⓘ |
| secondEditionPublicationYear | 1969 ⓘ |
| usedAs |
reference book for geometers
ⓘ
university textbook ⓘ |
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: Introduction to Geometry Description of subject: "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.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.