Neue Geometrie des Raumes
E291203
Neue Geometrie des Raumes is a foundational 19th-century mathematical work by Julius Plücker that develops projective and line geometry in three-dimensional space.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Neue Geometrie des Raumes canonical | 3 |
How this entity was disambiguated
This entity first appeared as the object of triple T2689821 — 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: Neue Geometrie des Raumes Context triple: [Julius Plücker, notableWork, Neue Geometrie des Raumes]
-
A.
Vorlesungen über Geometrie
Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
-
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.
Über die Hypothesen, welche der Geometrie zu Grunde liegen
"Über die Hypothesen, welche der Geometrie zu Grunde liegen" is Bernhard Riemann’s seminal 1854 lecture that founded Riemannian geometry and revolutionized the understanding of space in mathematics and physics.
-
D.
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.
-
E.
Commentary on the Difficulties of Certain Postulates of Euclid
Commentary on the Difficulties of Certain Postulates of Euclid is a mathematical treatise by Omar Khayyam in which he critically examines and attempts to resolve issues in Euclid’s postulates, especially the parallel postulate, laying early groundwork for later developments in 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: Neue Geometrie des Raumes Target entity description: Neue Geometrie des Raumes is a foundational 19th-century mathematical work by Julius Plücker that develops projective and line geometry in three-dimensional space.
-
A.
Vorlesungen über Geometrie
Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
-
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.
Über die Hypothesen, welche der Geometrie zu Grunde liegen
"Über die Hypothesen, welche der Geometrie zu Grunde liegen" is Bernhard Riemann’s seminal 1854 lecture that founded Riemannian geometry and revolutionized the understanding of space in mathematics and physics.
-
D.
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.
-
E.
Commentary on the Difficulties of Certain Postulates of Euclid
Commentary on the Difficulties of Certain Postulates of Euclid is a mathematical treatise by Omar Khayyam in which he critically examines and attempts to resolve issues in Euclid’s postulates, especially the parallel postulate, laying early groundwork for later developments in geometry.
- F. None of above. chosen
Statements (30)
| Predicate | Object |
|---|---|
| instanceOf |
19th-century mathematics book
ⓘ
book ⓘ mathematical treatise ⓘ mathematician ⓘ |
| author | Julius Plücker ⓘ |
| contribution |
development of line geometry in three-dimensional space
ⓘ
development of projective geometry in three-dimensional space ⓘ |
| countryOfOrigin | Germany ⓘ |
| era | 19th century ⓘ |
| field |
analytic geometry
ⓘ
geometry ⓘ line geometry ⓘ projective geometry ⓘ |
| focusesOn | three-dimensional space ⓘ |
| genre |
mathematics literature
ⓘ
scientific literature ⓘ |
| hasAuthor | Julius Plücker ⓘ |
| historicalSignificance | foundational work in projective and line geometry ⓘ |
| influenced |
development of line geometry as a separate discipline
ⓘ
later work in projective geometry ⓘ |
| language | German ⓘ |
| notableWork | Neue Geometrie des Raumes self-linksurface differs ⓘ |
| originalTitle | Neue Geometrie des Raumes self-link ⓘ |
| relatedTo |
line complexes
ⓘ
line congruences ⓘ projective 3-space ⓘ |
| subject |
geometric properties invariant under projection
ⓘ
lines in projective 3-space ⓘ |
| topic |
analytic treatment of lines in space
ⓘ
geometric transformations in space ⓘ |
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: Neue Geometrie des Raumes Description of subject: Neue Geometrie des Raumes is a foundational 19th-century mathematical work by Julius Plücker that develops projective and line geometry in three-dimensional space.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
Julius Plücker