Book III
E838162
Book III is the concluding section of René Descartes’ La Géométrie, focusing on advanced applications of his analytic methods to solve complex geometric problems.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Book III canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10047559 — 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: Book III Context triple: [La Géométrie, hasPart, Book III]
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A.
Book III
Book III is the section of Jean-Jacques Rousseau’s political treatise *The Social Contract* that focuses on the nature, forms, and functioning of government in relation to the sovereign people.
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B.
Book III
Book III is the final section of Newton’s *Philosophiæ Naturalis Principia Mathematica*, in which he applies his laws of motion and universal gravitation to explain the motions of celestial bodies and the structure of the solar system.
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C.
Book III
Book III is one of the sections of John Gower’s Middle English poem *Vox Clamantis*, contributing to its broader moral and political commentary on 14th-century English society.
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D.
Book III
Book III is a section of Augustine’s monumental Christian philosophical work *The City of God*, continuing his critique of pagan beliefs and interpretation of Roman history.
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E.
Book III
Book III is the third section of Augustine’s theological treatise *On Christian Doctrine*, focusing on the principles for interpreting ambiguous or figurative passages of Scripture.
- 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: Book III Target entity description: Book III is the concluding section of René Descartes’ La Géométrie, focusing on advanced applications of his analytic methods to solve complex geometric problems.
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A.
Book III
Book III is the final section of Newton’s *Philosophiæ Naturalis Principia Mathematica*, in which he applies his laws of motion and universal gravitation to explain the motions of celestial bodies and the structure of the solar system.
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B.
Book III
Book III is a section of Carl Friedrich Gauss’s landmark number theory treatise "Disquisitiones Arithmeticae," contributing to its foundational development of modern arithmetic.
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C.
Book III
Book III is the concluding section of Aristotle’s *Rhetoric*, focusing on style and the effective arrangement of speeches in persuasive communication.
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D.
Book III
Book III is one of the thematic sections of Leon Battista Alberti’s architectural treatise *De re aedificatoria*, focusing on a specific aspect of classical architectural theory and practice.
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E.
Book III
Book III is one of the sections of Nicolaus Copernicus’s seminal astronomical work *De revolutionibus orbium coelestium*, which laid the foundations of the heliocentric model of the solar system.
- F. None of above. chosen
Statements (26)
| Predicate | Object |
|---|---|
| instanceOf | book section ⓘ |
| author | René Descartes ⓘ |
| countryOfOrigin | France ⓘ |
| dealsWith |
classification of curves by equations
ⓘ
construction problems in geometry ⓘ solution of complex geometric problems ⓘ |
| focus | advanced applications of analytic methods to geometric problems ⓘ |
| historicalContext | early modern mathematics ⓘ |
| influenced |
development of analytic geometry
ⓘ
later work in algebraic geometry ⓘ seventeenth-century mathematics ⓘ |
| influencedBy | classical Greek geometry ⓘ |
| language | French ⓘ |
| medium | print ⓘ |
| originallyPublishedWith |
Book I (La Géométrie)
ⓘ
linked to:
Book I of Geometry (Descartes)
Book II (La Géométrie) ⓘ
linked to:
Book II of Geometry (Descartes)
|
| originalPublicationYear | 1637 ⓘ |
| partOf | La Géométrie ⓘ |
| positionInWork | third part ⓘ |
| publishedIn | Discours de la méthode ⓘ |
| roleInWork | concluding section ⓘ |
| subject |
algebraic methods in geometry
ⓘ
analytic geometry ⓘ geometry ⓘ |
| usesMethod |
Cartesian analytic method
ⓘ
algebraic representation of geometric curves ⓘ |
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: Book III Description of subject: Book III is the concluding section of René Descartes’ La Géométrie, focusing on advanced applications of his analytic methods to solve complex geometric problems.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.