Application de l’analyse à la géométrie
E326557
Application de l’analyse à la géométrie is a foundational mathematical treatise by Gaspard Monge that helped establish descriptive geometry by systematically applying analytical methods to geometric problems.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Application de l’analyse à la géométrie canonical | 1 |
| Applications d’analyse et de géométrie | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T3111338 — 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: Application de l’analyse à la géométrie Context triple: [Gaspard Monge, notableWork, Application de l’analyse à la géométrie]
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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.
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B.
System der analytischen Geometrie
System der analytischen Geometrie is a foundational 19th-century mathematical work by Julius Plücker that helped develop and formalize analytic geometry.
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C.
GAGA (Géométrie Algébrique et Géométrie Analytique)
GAGA (Géométrie Algébrique et Géométrie Analytique) is Jean-Pierre Serre’s foundational 1956 paper establishing deep equivalences between algebraic geometry and complex analytic geometry, particularly for projective varieties.
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D.
Vorlesungen über Geometrie
Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
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E.
Méthodes de calcul différentiel absolu et leurs applications
Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
- 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: Application de l’analyse à la géométrie Target entity description: Application de l’analyse à la géométrie is a foundational mathematical treatise by Gaspard Monge that helped establish descriptive geometry by systematically applying analytical methods to geometric problems.
-
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.
System der analytischen Geometrie
System der analytischen Geometrie is a foundational 19th-century mathematical work by Julius Plücker that helped develop and formalize analytic geometry.
-
C.
GAGA (Géométrie Algébrique et Géométrie Analytique)
GAGA (Géométrie Algébrique et Géométrie Analytique) is Jean-Pierre Serre’s foundational 1956 paper establishing deep equivalences between algebraic geometry and complex analytic geometry, particularly for projective varieties.
-
D.
Vorlesungen über Geometrie
Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
-
E.
Méthodes de calcul différentiel absolu et leurs applications
Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
- F. None of above. chosen
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical treatise ⓘ nonfiction work ⓘ |
| aim |
to provide rigorous foundations for descriptive geometry
ⓘ
to systematize geometric problem solving using analysis ⓘ |
| associatedWith |
French Revolutionary era science
ⓘ
École Polytechnique ⓘ |
| author | Gaspard Monge ⓘ |
| conceptualFocus |
relationship between algebraic analysis and spatial figures
ⓘ
translation of spatial problems into analytical form ⓘ |
| contributedTo | foundations of descriptive geometry ⓘ |
| countryOfOrigin | France ⓘ |
| field |
descriptive geometry
ⓘ
geometry ⓘ mathematics ⓘ |
| genre | scientific literature ⓘ |
| hasAuthorRole | Gaspard Monge as founder of descriptive geometry ⓘ |
| hasMainTheme |
geometric constructions via projections
ⓘ
systematic treatment of geometric problems using analysis ⓘ |
| historicalContext | development of modern geometry in late 18th century France ⓘ |
| historicalSignificance | helped establish descriptive geometry as a systematic discipline ⓘ |
| influenced |
descriptive geometry textbooks
ⓘ
engineering drawing ⓘ technical drawing ⓘ |
| influencedBy | analytic geometry ⓘ |
| language | French ⓘ |
| mathematicalDiscipline |
analytic geometry
ⓘ
projective geometry ⓘ |
| notableFor |
bridging analysis and geometry
ⓘ
formalizing methods of descriptive geometry ⓘ |
| originalTitleLanguage | French ⓘ |
| publicationCentury | 18th century ⓘ |
| relatedWork | Géométrie descriptive ⓘ |
| subject |
application of analysis to geometric problems
ⓘ
projection methods ⓘ representation of three-dimensional objects ⓘ |
| targetAudience |
advanced students of mathematics
ⓘ
engineers ⓘ surveyors ⓘ |
| taughtIn |
courses on descriptive geometry
ⓘ
history of mathematics courses ⓘ |
| usedFor |
architectural design representation
ⓘ
training military engineers ⓘ |
| usesMethod | analytical methods ⓘ |
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: Application de l’analyse à la géométrie Description of subject: Application de l’analyse à la géométrie is a foundational mathematical treatise by Gaspard Monge that helped establish descriptive geometry by systematically applying analytical methods to geometric problems.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject linked to:
Jean‑Victor Poncelet
linked to: Application de l’analyse à la géométrie