Mécanique analytique
E156186
Mécanique analytique is Lagrange’s landmark 1788 treatise that reformulated classical mechanics using variational principles and generalized coordinates, laying the foundations of analytical mechanics.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Mécanique analytique canonical | 4 |
How this entity was disambiguated
This entity first appeared as the object of triple T1358589 — 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: Mécanique analytique Context triple: [Joseph-Louis Lagrange, knownFor, Mécanique analytique]
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A.
The Science of Mechanics
The Science of Mechanics is Ernst Mach’s influential treatise that critically examines the foundations of classical mechanics and helped shape the development of modern physics and the philosophy of science.
-
B.
Théorie analytique de la chaleur
Théorie analytique de la chaleur is Joseph Fourier’s foundational 1822 treatise that introduced Fourier series and laid the mathematical groundwork for the modern theory of heat conduction and harmonic analysis.
-
C.
Mécanique céleste
Mécanique céleste is Pierre-Simon Laplace’s landmark multi-volume treatise that reformulated celestial mechanics using Newtonian gravitation and advanced mathematical analysis, profoundly shaping modern astronomy and physics.
-
D.
Essai sur les machines en général
Essai sur les machines en général is a foundational treatise on mechanics and the theory of machines written by French mathematician and engineer Lazare Carnot.
-
E.
Philosophiæ Naturalis Principia Mathematica
Philosophiæ Naturalis Principia Mathematica is Isaac Newton’s foundational work that formulated the laws of motion and universal gravitation, becoming a cornerstone of classical physics and the Scientific Revolution.
- 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: Mécanique analytique Target entity description: Mécanique analytique is Lagrange’s landmark 1788 treatise that reformulated classical mechanics using variational principles and generalized coordinates, laying the foundations of analytical mechanics.
-
A.
The Science of Mechanics
The Science of Mechanics is Ernst Mach’s influential treatise that critically examines the foundations of classical mechanics and helped shape the development of modern physics and the philosophy of science.
-
B.
Théorie analytique de la chaleur
Théorie analytique de la chaleur is Joseph Fourier’s foundational 1822 treatise that introduced Fourier series and laid the mathematical groundwork for the modern theory of heat conduction and harmonic analysis.
-
C.
Mécanique céleste
Mécanique céleste is Pierre-Simon Laplace’s landmark multi-volume treatise that reformulated celestial mechanics using Newtonian gravitation and advanced mathematical analysis, profoundly shaping modern astronomy and physics.
-
D.
Essai sur les machines en général
Essai sur les machines en général is a foundational treatise on mechanics and the theory of machines written by French mathematician and engineer Lazare Carnot.
-
E.
Philosophiæ Naturalis Principia Mathematica
Philosophiæ Naturalis Principia Mathematica is Isaac Newton’s foundational work that formulated the laws of motion and universal gravitation, becoming a cornerstone of classical physics and the Scientific Revolution.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
scientific treatise ⓘ work on classical mechanics ⓘ |
| aimedTo | reformulate mechanics on purely analytical foundations ⓘ |
| author | Joseph-Louis Lagrange ⓘ |
| basedOn | principle of least action ⓘ |
| centuryOfPublication | 18th century ⓘ |
| countryOfOrigin | France ⓘ |
| describedAs | landmark treatise in mechanics ⓘ |
| field |
mechanics
ⓘ
physics ⓘ |
| firstEditionPublisher | Paris ⓘ |
| genre | scientific non-fiction ⓘ |
| hasImpactOn |
mathematical formulation of physical laws
ⓘ
modern theoretical physics ⓘ |
| hasKeyConcept |
Lagrangian function
ⓘ
constraints in mechanics ⓘ generalized coordinates ⓘ virtual work ⓘ |
| hasKeyResult |
equations of motion derived from a variational principle
ⓘ
unified treatment of statics and dynamics ⓘ |
| hasLaterEdition |
1811–1815 edition edited by Sylvestre-François Lacroix
ⓘ
1853 edition edited by M. Poinsot ⓘ |
| historicalPeriod |
Age of Enlightenment
ⓘ
surface form:
Enlightenment
|
| influenced |
19th-century theoretical physics
ⓘ
Hamiltonian mechanics ⓘ Lagrangian formulation of mechanics ⓘ development of analytical mechanics ⓘ teaching of theoretical mechanics in the 19th century ⓘ |
| language | French ⓘ |
| notableFor |
elimination of geometric diagrams in mechanics
ⓘ
formulation of mechanics via variational principles ⓘ systematic use of generalized coordinates ⓘ |
| originalTitle | Mécanique analytique self-link ⓘ |
| partOf | history of classical mechanics ⓘ |
| publicationType | monograph ⓘ |
| publicationYear | 1788 ⓘ |
| structure | two volumes ⓘ |
| subject |
Lagrangian mechanics
ⓘ
analytical mechanics ⓘ classical mechanics ⓘ generalized coordinates ⓘ variational principles ⓘ |
| uses |
calculus of variations
ⓘ
generalized coordinates ⓘ |
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: Mécanique analytique Description of subject: Mécanique analytique is Lagrange’s landmark 1788 treatise that reformulated classical mechanics using variational principles and generalized coordinates, laying the foundations of analytical mechanics.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.