System der analytischen Geometrie
E291202
System der analytischen Geometrie is a foundational 19th-century mathematical work by Julius Plücker that helped develop and formalize analytic geometry.
All labels observed (2)
| Label | Occurrences |
|---|---|
| System der analytischen Geometrie canonical | 1 |
| foundations of analytic geometry | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2689820 — 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: System der analytischen Geometrie Context triple: [Julius Plücker, notableWork, System der analytischen Geometrie]
-
A.
Vorlesungen über Geometrie
Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
-
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.
Elements of Analytical Geometry and of the Differential and Integral Calculus
Elements of Analytical Geometry and of the Differential and Integral Calculus is a 19th-century mathematics textbook that systematically introduces analytic geometry alongside the fundamentals of differential and integral calculus.
-
D.
Géométrie de position
Géométrie de position is a foundational 1803 treatise by Lazare Carnot that helped establish projective geometry and modern geometric reasoning about position and transformation.
-
E.
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.
- 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: System der analytischen Geometrie Target entity description: System der analytischen Geometrie is a foundational 19th-century mathematical work by Julius Plücker that helped develop and formalize analytic geometry.
-
A.
Vorlesungen über Geometrie
Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
-
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.
Elements of Analytical Geometry and of the Differential and Integral Calculus
Elements of Analytical Geometry and of the Differential and Integral Calculus is a 19th-century mathematics textbook that systematically introduces analytic geometry alongside the fundamentals of differential and integral calculus.
-
D.
Géométrie de position
Géométrie de position is a foundational 1803 treatise by Lazare Carnot that helped establish projective geometry and modern geometric reasoning about position and transformation.
-
E.
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.
- F. None of above. chosen
Statements (30)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical treatise ⓘ nonfiction work ⓘ |
| associatedWith | Julius Plücker ⓘ |
| author | Julius Plücker ⓘ |
| contributedTo |
development of analytic geometry
ⓘ
formalization of analytic geometry ⓘ |
| countryOfOrigin | Germany ⓘ |
| describedAs | foundational work in analytic geometry ⓘ |
| era | 19th century ⓘ |
| field |
analytic geometry
ⓘ
mathematics ⓘ |
| genre | scientific literature ⓘ |
| hasAuthor | Julius Plücker ⓘ |
| hasAuthorNationality | German ⓘ |
| historicalPeriod | 19th-century mathematics ⓘ |
| influenced |
19th-century mathematics
ⓘ
later works in analytic geometry ⓘ |
| language | German ⓘ |
| mainTopic |
algebraic treatment of geometric problems
ⓘ
coordinate methods in geometry ⓘ |
| notableFor |
influence on later geometric formalisms
ⓘ
systematic presentation of analytic geometry ⓘ |
| originalTitleLanguage | German ⓘ |
| publicationCentury | 19th century ⓘ |
| subject |
analytic methods in geometry
ⓘ
geometry ⓘ |
| usedIn |
history of mathematics studies
ⓘ
university-level mathematics history courses ⓘ |
| workType | foundational mathematical work ⓘ |
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: System der analytischen Geometrie Description of subject: System der analytischen Geometrie is a foundational 19th-century mathematical work by Julius Plücker that helped develop and formalize analytic geometry.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: System der analytischen Geometrie