On the rotation of a solid body about a fixed point
E171221
"On the Rotation of a Solid Body About a Fixed Point" is a landmark mathematical treatise in rigid body dynamics that contributed fundamentally to the theory of differential equations and classical mechanics.
All labels observed (2)
| Label | Occurrences |
|---|---|
| On the rotation of a solid body about a fixed point canonical | 1 |
| Poinsot’s ellipsoid | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1489661 — 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: On the rotation of a solid body about a fixed point Context triple: [Sofia Kovalevskaya, notableWork, On the rotation of a solid body about a fixed point]
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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.
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B.
On the Equilibrium of Planes
On the Equilibrium of Planes is a foundational treatise by Archimedes that systematically develops the principles of statics and the law of the lever in classical mechanics.
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C.
Mécanique analytique
Mécanique analytique is Lagrange’s landmark 1788 treatise that reformulated classical mechanics using variational principles and generalized coordinates, laying the foundations of analytical mechanics.
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D.
Traité de dynamique
Traité de dynamique is an influential 1743 treatise by Jean d’Alembert that helped formalize classical mechanics and introduced what is now known as d’Alembert’s principle.
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E.
On the Conservation of Force
"On the Conservation of Force" is an 1847 scientific treatise by Hermann von Helmholtz that helped establish the modern principle of conservation of energy in physics.
- 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: On the rotation of a solid body about a fixed point Target entity description: "On the Rotation of a Solid Body About a Fixed Point" is a landmark mathematical treatise in rigid body dynamics that contributed fundamentally to the theory of differential equations and classical 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.
On the Equilibrium of Planes
On the Equilibrium of Planes is a foundational treatise by Archimedes that systematically develops the principles of statics and the law of the lever in classical mechanics.
-
C.
Mécanique analytique
Mécanique analytique is Lagrange’s landmark 1788 treatise that reformulated classical mechanics using variational principles and generalized coordinates, laying the foundations of analytical mechanics.
-
D.
Traité de dynamique
Traité de dynamique is an influential 1743 treatise by Jean d’Alembert that helped formalize classical mechanics and introduced what is now known as d’Alembert’s principle.
-
E.
On the Conservation of Force
"On the Conservation of Force" is an 1847 scientific treatise by Hermann von Helmholtz that helped establish the modern principle of conservation of energy in physics.
- F. None of above. chosen
Statements (25)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical treatise
ⓘ
scientific paper ⓘ work on rigid body dynamics ⓘ |
| contribution |
classical mechanics
ⓘ
development of differential equation methods in mechanics ⓘ theory of rigid body rotation ⓘ |
| describedAs | landmark mathematical treatise in rigid body dynamics ⓘ |
| field |
classical mechanics
ⓘ
differential equations ⓘ mathematical physics ⓘ rigid body dynamics ⓘ |
| focusesOn |
exact treatment of rotational motion
ⓘ
mathematical formulation of rigid body rotation ⓘ |
| impact |
fundamental contribution to classical mechanics
ⓘ
fundamental contribution to the theory of differential equations ⓘ |
| recognizedAs | classical work in rigid body theory ⓘ |
| studies |
dynamical behavior of rotating solids
ⓘ
motion of a solid body with one fixed point ⓘ |
| topic |
Euler equations for rigid body rotation
ⓘ
equations of motion of a rigid body ⓘ integrals of motion in rigid body dynamics ⓘ rotation of a rigid body about a fixed point ⓘ stability of rotational motion ⓘ |
| uses |
analytical mechanics
ⓘ
methods of differential equations ⓘ |
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: On the rotation of a solid body about a fixed point Description of subject: "On the Rotation of a Solid Body About a Fixed Point" is a landmark mathematical treatise in rigid body dynamics that contributed fundamentally to the theory of differential equations and classical mechanics.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: On the rotation of a solid body about a fixed point