Book IX of the Elements
E1506414
UNEXPLORED
Book IX of the Elements is one of the thirteen books of Euclid’s foundational mathematical treatise, focusing on number theory topics such as geometric series and properties of prime and composite numbers.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Book IX of the Elements canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T21858469 — 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 IX of the Elements Context triple: [Book X of the Elements, follows, Book IX of the Elements]
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A.
Book XI of the Elements
Book XI of the Elements is the first book of Euclid’s treatment of solid geometry, laying out the fundamental definitions, postulates, and propositions for three-dimensional figures.
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B.
Book VI of the Elements
Book VI of the Elements is a section of Euclid’s mathematical treatise that develops the theory of similar figures and proportional reasoning in plane geometry.
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C.
Book X of the Elements
Book X of the Elements is a section of Euclid’s mathematical treatise that systematically develops the theory of irrational magnitudes and incommensurability.
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D.
Book XII of Euclid's Elements
Book XII of Euclid's Elements is a foundational mathematical text that develops the method of exhaustion to rigorously determine areas and volumes of curved figures such as circles, cones, and spheres.
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E.
Book XIII of Euclid's Elements
Book XIII of Euclid's Elements is the concluding book of Euclid’s mathematical treatise, focusing on the construction and properties of the five regular Platonic solids within the framework of classical Greek geometry.
- 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 IX of the Elements Target entity description: Book IX of the Elements is one of the thirteen books of Euclid’s foundational mathematical treatise, focusing on number theory topics such as geometric series and properties of prime and composite numbers.
-
A.
Book XI of the Elements
Book XI of the Elements is the first book of Euclid’s treatment of solid geometry, laying out the fundamental definitions, postulates, and propositions for three-dimensional figures.
-
B.
Book VI of the Elements
Book VI of the Elements is a section of Euclid’s mathematical treatise that develops the theory of similar figures and proportional reasoning in plane geometry.
-
C.
Book X of the Elements
Book X of the Elements is a section of Euclid’s mathematical treatise that systematically develops the theory of irrational magnitudes and incommensurability.
-
D.
Book XII of Euclid's Elements
Book XII of Euclid's Elements is a foundational mathematical text that develops the method of exhaustion to rigorously determine areas and volumes of curved figures such as circles, cones, and spheres.
-
E.
Book XIII of Euclid's Elements
Book XIII of Euclid's Elements is the concluding book of Euclid’s mathematical treatise, focusing on the construction and properties of the five regular Platonic solids within the framework of classical Greek geometry.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.