Jakob Steiner
E533284
Jakob Steiner was a 19th-century Swiss mathematician renowned for his foundational contributions to projective geometry and synthetic geometry.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Jakob Steiner canonical | 4 |
How this entity was disambiguated
This entity first appeared as the object of triple T5528073 — 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: Jakob Steiner Context triple: [Steiner, hasNotableBearer, Jakob Steiner]
-
A.
Julius König
Julius König was a Hungarian mathematician known for his work in set theory, logic, and the foundations of mathematics in the late 19th and early 20th centuries.
-
B.
Alfred Clebsch
Alfred Clebsch was a 19th-century German mathematician known for his influential work in algebraic geometry and invariant theory.
-
C.
Felix Klein
Felix Klein was a German mathematician renowned for his work in group theory, non-Euclidean geometry, and the Erlangen Program, which redefined the foundations of geometry.
-
D.
Paul Gordan
Paul Gordan was a 19th-century German mathematician known as the "king of invariant theory" for his foundational work in algebraic invariants.
-
E.
Carl Gustav Jacob Jacobi
Carl Gustav Jacob Jacobi was a 19th-century German mathematician renowned for his fundamental contributions to elliptic functions, number theory, and differential equations.
- 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: Jakob Steiner Target entity description: Jakob Steiner was a 19th-century Swiss mathematician renowned for his foundational contributions to projective geometry and synthetic geometry.
-
A.
Julius König
Julius König was a Hungarian mathematician known for his work in set theory, logic, and the foundations of mathematics in the late 19th and early 20th centuries.
-
B.
Alfred Clebsch
Alfred Clebsch was a 19th-century German mathematician known for his influential work in algebraic geometry and invariant theory.
-
C.
Felix Klein
Felix Klein was a German mathematician renowned for his work in group theory, non-Euclidean geometry, and the Erlangen Program, which redefined the foundations of geometry.
-
D.
Paul Gordan
Paul Gordan was a 19th-century German mathematician known as the "king of invariant theory" for his foundational work in algebraic invariants.
-
E.
Carl Gustav Jacob Jacobi
Carl Gustav Jacob Jacobi was a 19th-century German mathematician renowned for his fundamental contributions to elliptic functions, number theory, and differential equations.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
human
ⓘ
mathematician ⓘ |
| areaOfInfluence | European mathematics ⓘ |
| centuryOfActivity | 19th century ⓘ |
| countryOfCitizenship | Switzerland ⓘ |
| ethnicGroup | Swiss ⓘ |
| familyName | Steiner ⓘ |
| fieldOfWork |
geometry
ⓘ
mathematics ⓘ projective geometry ⓘ synthetic geometry ⓘ |
| givenName | Jakob ⓘ |
| hasEponym |
Steiner chain
ⓘ
Steiner inellipse ⓘ Steiner point ⓘ Steiner surface ⓘ Steiner system ⓘ Steiner tree ⓘ
linked to:
Steiner tree problem
Steiner’s Roman surface ⓘ
linked to:
Steiner surface
Steiner’s porism ⓘ
linked to:
Steiner chain
|
| influenced |
development of 19th-century projective geometry
ⓘ
later work in combinatorial design theory via Steiner systems ⓘ |
| influencedBy |
Carl Friedrich Gauss
ⓘ
Gaspard Monge ⓘ Jean-Victor Poncelet ⓘ
linked to:
Jean‑Victor Poncelet
|
| knownFor |
emphasis on synthetic methods in geometry
ⓘ
geometric constructions without coordinates ⓘ |
| movement | synthetic approach to geometry ⓘ |
| name | Jakob Steiner ⓘ |
| notableAchievement |
developed many results in classical Euclidean geometry
ⓘ
made foundational contributions to projective geometry ⓘ made foundational contributions to synthetic geometry ⓘ |
| notableIdea | systematic development of geometry from incidence relations ⓘ |
| notableWork |
Steiner chain
ⓘ
Steiner inellipse ⓘ Steiner point in triangle geometry ⓘ
linked to:
Miquel point
Steiner surface ⓘ Steiner system concept ⓘ Steiner tree problem ⓘ Steiner’s Roman surface ⓘ
linked to:
Whitney umbrella surface
Steiner’s porism ⓘ
linked to:
Poncelet’s porism
Steiner’s theorem in projective geometry ⓘ Systematische Entwicklung der Abhängigkeit geometrischer Gestalten voneinander ⓘ |
| occupation | mathematician ⓘ |
| placeOfOrigin | Switzerland ⓘ |
| sexOrGender | male ⓘ |
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: Jakob Steiner Description of subject: Jakob Steiner was a 19th-century Swiss mathematician renowned for his foundational contributions to projective geometry and synthetic geometry.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.