Éléments de géométrie
E695815
Éléments de géométrie is a foundational 18th-century geometry textbook by Adrien-Marie Legendre that systematized Euclidean geometry and was widely used in mathematical education for decades.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Éléments de géométrie canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7861119 — 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: Éléments de géométrie Context triple: [Adrien-Marie Legendre, notableWork, Éléments de géométrie]
-
A.
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.
-
B.
Elements of Geometry
Elements of Geometry is a widely used 18th-century textbook by John Playfair that modernized and clarified Euclid’s geometric principles for mathematical education.
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C.
La Géométrie
La Géométrie is René Descartes’ foundational 1637 treatise that introduced analytic geometry by uniting algebra and Euclidean geometry.
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D.
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.
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E.
Vorlesungen über Geometrie
Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
- 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: Éléments de géométrie Target entity description: Éléments de géométrie is a foundational 18th-century geometry textbook by Adrien-Marie Legendre that systematized Euclidean geometry and was widely used in mathematical education for decades.
-
A.
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.
-
B.
Elements of Geometry
Elements of Geometry is a widely used 18th-century textbook by John Playfair that modernized and clarified Euclid’s geometric principles for mathematical education.
-
C.
La Géométrie
La Géométrie is René Descartes’ foundational 1637 treatise that introduced analytic geometry by uniting algebra and Euclidean geometry.
-
D.
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.
-
E.
Vorlesungen über Geometrie
Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
- F. None of above. chosen
Statements (40)
| Predicate | Object |
|---|---|
| instanceOf |
didactic work
ⓘ
geometry textbook ⓘ |
| aim | to present geometry in a clear and rigorous form ⓘ |
| author | Adrien-Marie Legendre ⓘ |
| classification | classical geometry text ⓘ |
| countryOfOrigin | France ⓘ |
| educationalRole |
model for later geometry textbooks
ⓘ
standard reference for geometry teaching in France ⓘ |
| field |
Euclidean geometry
ⓘ
geometry ⓘ |
| firstPublicationPlace | Paris ⓘ |
| genre |
educational literature
ⓘ
textbook ⓘ |
| hasAuthorOccupation |
Adrien-Marie Legendre – mathematician
ⓘ
linked to:
Adrien-Marie Legendre
|
| historicalPeriod |
Enlightenment era
ⓘ
linked to:
Age of Enlightenment
|
| impact |
dissemination of Euclidean methods in the 18th and 19th centuries
ⓘ
standardization of geometric notation in French education ⓘ |
| influenced |
19th-century geometry teaching
ⓘ
French mathematical curriculum ⓘ |
| influencedBy | Euclid's Elements ⓘ |
| language | French ⓘ |
| mainSubject |
Euclidean geometry
ⓘ
elementary geometry ⓘ |
| notableFor |
influence on mathematics education
ⓘ
systematizing Euclidean geometry ⓘ |
| pedagogicalApproach |
emphasis on proofs
ⓘ
logical progression from definitions to theorems ⓘ |
| publicationCentury | 18th century ⓘ |
| structure | axiomatic treatment of geometry ⓘ |
| timeInUse | several decades ⓘ |
| topic |
geometric constructions
ⓘ
parallels and perpendiculars ⓘ plane geometry ⓘ properties of circles ⓘ properties of triangles ⓘ proportions ⓘ similarity of figures ⓘ solid geometry ⓘ |
| usedAs |
secondary school textbook
ⓘ
university textbook ⓘ |
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: Éléments de géométrie Description of subject: Éléments de géométrie is a foundational 18th-century geometry textbook by Adrien-Marie Legendre that systematized Euclidean geometry and was widely used in mathematical education for decades.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.