La Géométrie
E207654
La Géométrie is René Descartes’ foundational 1637 treatise that introduced analytic geometry by uniting algebra and Euclidean geometry.
All labels observed (3)
| Label | Occurrences |
|---|---|
| La Géométrie canonical | 10 |
| Descartes’ Géométrie | 1 |
| La Géométrie, Livre I | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1783777 — 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: La Géométrie Context triple: [Geometry (Descartes), alternateName, La Géométrie]
-
A.
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.
-
B.
Book II of Geometry (Descartes)
Book II of Geometry (Descartes) is the section of René Descartes’ seminal work where he develops and applies his new algebraic methods to solve classical geometric problems, helping to lay the foundations of analytic geometry.
-
C.
Book III of Geometry (Descartes)
Book III of Geometry (Descartes) is the concluding section of René Descartes’ seminal work "La Géométrie," where he further develops his analytic methods and applies them to more advanced problems in algebraic geometry.
-
D.
Elementa curvarum linearum
Elementa curvarum linearum is a 17th-century mathematical treatise by Johan de Witt that systematically studies the geometry and properties of linear curves.
-
E.
Euclides adauctus et methodicus
Euclides adauctus et methodicus is a 17th-century mathematical treatise by Guarino Guarini that expands and systematizes Euclidean geometry for advanced study and architectural application.
- 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: La Géométrie Target entity description: La Géométrie is René Descartes’ foundational 1637 treatise that introduced analytic geometry by uniting algebra and Euclidean geometry.
-
A.
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.
-
B.
Book II of Geometry (Descartes)
Book II of Geometry (Descartes) is the section of René Descartes’ seminal work where he develops and applies his new algebraic methods to solve classical geometric problems, helping to lay the foundations of analytic geometry.
-
C.
Book III of Geometry (Descartes)
Book III of Geometry (Descartes) is the concluding section of René Descartes’ seminal work "La Géométrie," where he further develops his analytic methods and applies them to more advanced problems in algebraic geometry.
-
D.
Elementa curvarum linearum
Elementa curvarum linearum is a 17th-century mathematical treatise by Johan de Witt that systematically studies the geometry and properties of linear curves.
-
E.
Euclides adauctus et methodicus
Euclides adauctus et methodicus is a 17th-century mathematical treatise by Guarino Guarini that expands and systematizes Euclidean geometry for advanced study and architectural application.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
treatise ⓘ work on analytic geometry ⓘ |
| author | René Descartes ⓘ |
| centuryOfPublication | 17th century ⓘ |
| countryOfOrigin | Kingdom of France ⓘ |
| describes | relationship between algebra and geometry ⓘ |
| field |
algebra
ⓘ
geometry ⓘ mathematics ⓘ |
| firstEditionFormat | appendix to a philosophical discourse ⓘ |
| genre | scientific literature ⓘ |
| hasAlternativeTitle | Géométrie ⓘ |
| hasPart |
Book I
ⓘ
Book II ⓘ Book III ⓘ |
| hasTranslation |
English translation by David Eugene Smith and Marcia L. Latham
ⓘ
English translation by Frans van Schooten ⓘ |
| historicalSignificance |
foundation of analytic geometry
ⓘ
major milestone in the history of mathematics ⓘ |
| influenced |
Gottfried Wilhelm Leibniz
ⓘ
Isaac Newton ⓘ development of analytic geometry ⓘ development of calculus ⓘ |
| introduced | analytic geometry ⓘ |
| notableConcept |
Cartesian coordinate system
ⓘ
classification of curves by equations ⓘ introduction of modern algebraic notation for powers ⓘ solution of geometric problems by algebraic methods ⓘ use of algebraic equations to represent curves ⓘ use of exponents for powers ⓘ |
| originalLanguage | French ⓘ |
| partOf | Discours de la méthode ⓘ |
| placeOfPublication | Leiden ⓘ |
| publicationYear | 1637 ⓘ |
| publishedWith |
La Dioptrique
ⓘ
linked to:
Dioptrique
Les Météores ⓘ
linked to:
Météores
|
| publisher | Jan Maire ⓘ |
| relatedTo |
Cartesian geometry
ⓘ
linked to:
analytic geometry
coordinate geometry ⓘ |
| relatedWork | Discours de la méthode ⓘ |
| subject |
algebraic solution of geometric problems
ⓘ
application of algebra to geometry ⓘ construction of problems by straight lines and circles ⓘ nature and classification of curves ⓘ |
| uses | algebraic symbolism to express geometric relations ⓘ |
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: La Géométrie Description of subject: La Géométrie is René Descartes’ foundational 1637 treatise that introduced analytic geometry by uniting algebra and Euclidean geometry.
Referenced by (12)
Full triples — surface form annotated when it differs from this entity's canonical label.