Analyse des infiniment petits pour l’intelligence des lignes courbes
E927690
*Analyse des infiniment petits pour l’intelligence des lignes courbes* is a landmark 1696 calculus textbook by Guillaume de l’Hôpital, notable as the first published work on differential calculus and for popularizing methods developed by Leibniz and the Bernoullis.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Analyse des infiniment petits pour l’intelligence des lignes courbes canonical | 3 |
| Analyse des infiniment petits | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T11478960 — 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: Analyse des infiniment petits pour l’intelligence des lignes courbes Context triple: [Guillaume de l’Hôpital, notableWork, Analyse des infiniment petits pour l’intelligence des lignes courbes]
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A.
Les Principes du calcul infinitésimal
Les Principes du calcul infinitésimal is a philosophical and metaphysical critique of modern infinitesimal calculus in which René Guénon examines its foundational concepts from the standpoint of traditional metaphysics.
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B.
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.
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C.
Cours d’analyse de l’École Polytechnique
Cours d’analyse de l’École Polytechnique is a foundational multi-volume textbook on mathematical analysis by Camille Jordan that significantly influenced the teaching and development of modern analysis in France.
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D.
Arithmetica Infinitorum
Arithmetica Infinitorum is a 1656 mathematical treatise by John Wallis that systematically develops methods of infinitesimal calculus and infinite series, laying groundwork for later advances in analysis.
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E.
Cours d’Analyse
Cours d’Analyse is a foundational 19th-century mathematics textbook by Augustin-Louis Cauchy that rigorously developed the theory of functions, limits, and continuity, helping to formalize modern analysis.
- 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: Analyse des infiniment petits pour l’intelligence des lignes courbes Target entity description: *Analyse des infiniment petits pour l’intelligence des lignes courbes* is a landmark 1696 calculus textbook by Guillaume de l’Hôpital, notable as the first published work on differential calculus and for popularizing methods developed by Leibniz and the Bernoullis.
-
A.
Les Principes du calcul infinitésimal
Les Principes du calcul infinitésimal is a philosophical and metaphysical critique of modern infinitesimal calculus in which René Guénon examines its foundational concepts from the standpoint of traditional metaphysics.
-
B.
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.
-
C.
Cours d’analyse de l’École Polytechnique
Cours d’analyse de l’École Polytechnique is a foundational multi-volume textbook on mathematical analysis by Camille Jordan that significantly influenced the teaching and development of modern analysis in France.
-
D.
Arithmetica Infinitorum
Arithmetica Infinitorum is a 1656 mathematical treatise by John Wallis that systematically develops methods of infinitesimal calculus and infinite series, laying groundwork for later advances in analysis.
-
E.
Cours d’Analyse
Cours d’Analyse is a foundational 19th-century mathematics textbook by Augustin-Louis Cauchy that rigorously developed the theory of functions, limits, and continuity, helping to formalize modern analysis.
- F. None of above. chosen
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
calculus textbook
ⓘ
mathematics book ⓘ nonfiction book ⓘ |
| aimedAt | students of mathematics ⓘ |
| associatedWith | Leibniz–Newton calculus priority period ⓘ |
| author | Guillaume de l’Hôpital ⓘ |
| basedOn | lectures of Johann Bernoulli ⓘ |
| circaPublicationDate | June 1696 ⓘ |
| contains |
applications of differential calculus to geometry
ⓘ
methods for finding maxima and minima ⓘ methods for finding tangents to curves ⓘ rules for differentiation ⓘ |
| countryOfOrigin | France ⓘ |
| field |
calculus
ⓘ
mathematics ⓘ |
| genre | textbook ⓘ |
| hasAlternativeName | Analyse des infiniment petits ⓘ |
| hasForm | printed book ⓘ |
| hasHistoricalReputation |
first systematic exposition of differential calculus in book form
ⓘ
landmark work in the history of calculus ⓘ |
| hasPart |
chapters on curve analysis
ⓘ
chapters on differential rules ⓘ worked mathematical examples ⓘ |
| historicalPeriod | 17th century ⓘ |
| influenced |
18th-century mathematical education
ⓘ
development of calculus in France ⓘ |
| influencedBy |
Gottfried Wilhelm Leibniz
ⓘ
Jacob Bernoulli ⓘ
linked to:
Jakob Bernoulli
Johann Bernoulli ⓘ |
| mainSubject |
curves
ⓘ
differential calculus ⓘ infinitesimal calculus ⓘ |
| notableFor |
being the first published textbook on differential calculus
ⓘ
popularizing the Leibnizian notation for derivatives ⓘ |
| originalLanguage | French ⓘ |
| printingLocation | Paris ⓘ |
| publicationYear | 1696 ⓘ |
| title | Analyse des infiniment petits pour l’intelligence des lignes courbes ⓘ |
| usedConcept |
asymptotes of curves
ⓘ
differentials ⓘ infinitesimals ⓘ maxima and minima of functions ⓘ tangents to curves ⓘ |
| usedNotation | Leibniz notation for derivatives ⓘ |
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: Analyse des infiniment petits pour l’intelligence des lignes courbes Description of subject: *Analyse des infiniment petits pour l’intelligence des lignes courbes* is a landmark 1696 calculus textbook by Guillaume de l’Hôpital, notable as the first published work on differential calculus and for popularizing methods developed by Leibniz and the Bernoullis.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.
Guillaume de l’Hôpital
→
notableWork
→
Analyse des infiniment petits pour l’intelligence des lignes courbes
ⓘ
Guillaume de l’Hôpital
→
authorOf
→
Analyse des infiniment petits pour l’intelligence des lignes courbes
ⓘ
Analyse des infiniment petits pour l’intelligence des lignes courbes
→
title
→
Analyse des infiniment petits pour l’intelligence des lignes courbes
ⓘ
Analyse des infiniment petits pour l’intelligence des lignes courbes
→
hasAlternativeName
→
Analyse des infiniment petits
ⓘ
linked to: Analyse des infiniment petits pour l’intelligence des lignes courbes