“Solutio problematis ad geometriam situs pertinentis”
E467733
“Solutio problematis ad geometriam situs pertinentis” is Leonhard Euler’s 1736 Latin paper that founded graph theory and topology by solving the Seven Bridges of Königsberg problem.
All labels observed (1)
| Label | Occurrences |
|---|---|
| “Solutio problematis ad geometriam situs pertinentis” canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4764130 — 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.
Target entity: “Solutio problematis ad geometriam situs pertinentis” Context triple: [Seven Bridges of Königsberg problem, publishedIn, “Solutio problematis ad geometriam situs pertinentis”]
-
A.
Euler’s polyhedron formula
Euler’s polyhedron formula is a fundamental result in topology and geometry that relates the numbers of vertices, edges, and faces of a convex polyhedron through the equation V − E + F = 2.
-
B.
Disquisitiones Generales Circa Superficies Curvas
Disquisitiones Generales Circa Superficies Curvas is Carl Friedrich Gauss’s foundational 1827 work on differential geometry, in which he developed the intrinsic theory of curved surfaces and introduced concepts such as Gaussian curvature.
-
C.
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.
-
D.
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.
-
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.
Target entity: “Solutio problematis ad geometriam situs pertinentis” Target entity description: “Solutio problematis ad geometriam situs pertinentis” is Leonhard Euler’s 1736 Latin paper that founded graph theory and topology by solving the Seven Bridges of Königsberg problem.
-
A.
Euler’s polyhedron formula
Euler’s polyhedron formula is a fundamental result in topology and geometry that relates the numbers of vertices, edges, and faces of a convex polyhedron through the equation V − E + F = 2.
-
B.
Disquisitiones Generales Circa Superficies Curvas
Disquisitiones Generales Circa Superficies Curvas is Carl Friedrich Gauss’s foundational 1827 work on differential geometry, in which he developed the intrinsic theory of curved surfaces and introduced concepts such as Gaussian curvature.
-
C.
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.
-
D.
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.
-
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 (41)
| Predicate | Object |
|---|---|
| instanceOf |
Latin-language work
ⓘ
mathematics paper ⓘ scientific paper ⓘ |
| author | Leonhard Euler NERFINISHED ⓘ |
| authorName | Leonhard Euler NERFINISHED ⓘ |
| authorNationality | Swiss ⓘ |
| contribution |
early work in the geometry of position (geometria situs)
ⓘ
formulated conditions for the existence of an Eulerian trail ⓘ introduced the concept of degree of a vertex in a graph-like structure ⓘ treated a city map as an abstract network of vertices and edges ⓘ |
| fieldOfWork |
discrete mathematics
ⓘ
mathematics ⓘ |
| hasAuthor | Leonhard Euler NERFINISHED ⓘ |
| hasKeyConcept |
Eulerian circuit
ⓘ
Eulerian trail ⓘ graph as an abstract network ⓘ vertex degree ⓘ |
| historicalSignificance |
considered a foundational work in topology
ⓘ
considered the first paper in graph theory ⓘ |
| influenced |
development of modern graph theory
ⓘ
development of modern topology ⓘ study of networks in mathematics ⓘ |
| mainSubject |
Seven Bridges of Königsberg
NERFINISHED
ⓘ
geometry of position ⓘ graph theory ⓘ topology ⓘ |
| mathematicalTopic |
Eulerian path problem
ⓘ
bridges problem ⓘ |
| method | abstraction of landmasses to vertices and bridges to edges ⓘ |
| notableFor |
founding graph theory
ⓘ
founding topology ⓘ solution of the Seven Bridges of Königsberg problem ⓘ |
| originalTitle | Solutio problematis ad geometriam situs pertinentis ⓘ |
| problemSolved | Seven Bridges of Königsberg NERFINISHED ⓘ |
| publicationCentury | 18th century ⓘ |
| publicationYear | 1736 ⓘ |
| relatedPlace | Königsberg NERFINISHED ⓘ |
| relatedRiver | Pregel River NERFINISHED ⓘ |
| result | proved that a walk crossing each bridge of Königsberg exactly once is impossible ⓘ |
| titleLanguage | Latin ⓘ |
| translatedTitle | Solution of a problem relating to the geometry of position ⓘ |
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.
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.
Subject: “Solutio problematis ad geometriam situs pertinentis” Description of subject: “Solutio problematis ad geometriam situs pertinentis” is Leonhard Euler’s 1736 Latin paper that founded graph theory and topology by solving the Seven Bridges of Königsberg problem.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.