On the Composition of Ratios
E863267
On the Composition of Ratios is a mathematical treatise by Thabit ibn Qurra that develops and extends Greek theories of ratios and proportions within the framework of early Islamic mathematics.
All labels observed (1)
| Label | Occurrences |
|---|---|
| On the Composition of Ratios canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10448870 — 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 Composition of Ratios Context triple: [Thabit ibn Qurra, notableWork, On the Composition of Ratios]
-
A.
On the Common Mathematical Science
On the Common Mathematical Science is a Neoplatonic philosophical treatise by Iamblichus of Chalcis that explores the nature and role of mathematics within his broader metaphysical and theological system.
-
B.
On Divisions of Figures
On Divisions of Figures is an ancient mathematical treatise attributed to Euclid that systematically studies how geometric figures can be divided into parts with specified ratios or properties.
-
C.
On the Arrangement of Words
On the Arrangement of Words is an ancient rhetorical treatise by Dionysius of Halicarnassus that analyzes how word order and stylistic choices affect the clarity, harmony, and persuasive power of prose.
-
D.
Set Structure as a Compositional Determinant
"Set Structure as a Compositional Determinant" is a seminal theoretical essay by Milton Babbitt that explores how ordered pitch-class sets can systematically govern musical composition in serial and post-tonal music.
-
E.
Constructions of Reason
Constructions of Reason is a philosophical work by Onora O’Neill that develops a Kantian account of practical reason, autonomy, and justification in ethics and political philosophy.
- 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 Composition of Ratios Target entity description: On the Composition of Ratios is a mathematical treatise by Thabit ibn Qurra that develops and extends Greek theories of ratios and proportions within the framework of early Islamic mathematics.
-
A.
On the Common Mathematical Science
On the Common Mathematical Science is a Neoplatonic philosophical treatise by Iamblichus of Chalcis that explores the nature and role of mathematics within his broader metaphysical and theological system.
-
B.
On Divisions of Figures
On Divisions of Figures is an ancient mathematical treatise attributed to Euclid that systematically studies how geometric figures can be divided into parts with specified ratios or properties.
-
C.
On the Arrangement of Words
On the Arrangement of Words is an ancient rhetorical treatise by Dionysius of Halicarnassus that analyzes how word order and stylistic choices affect the clarity, harmony, and persuasive power of prose.
-
D.
Set Structure as a Compositional Determinant
"Set Structure as a Compositional Determinant" is a seminal theoretical essay by Milton Babbitt that explores how ordered pitch-class sets can systematically govern musical composition in serial and post-tonal music.
-
E.
Constructions of Reason
Constructions of Reason is a philosophical work by Onora O’Neill that develops a Kantian account of practical reason, autonomy, and justification in ethics and political philosophy.
- F. None of above. chosen
Statements (42)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical treatise
ⓘ
medieval scientific text ⓘ work of mathematics ⓘ |
| aimsTo | extend Greek theories of ratios and proportions ⓘ |
| associatedWith | House of Wisdom in Baghdad NERFINISHED ⓘ |
| author | Thabit ibn Qurra NERFINISHED ⓘ |
| buildsUpon |
Greek theories of proportions
ⓘ
Greek theories of ratios ⓘ |
| context | early Islamic mathematical scholarship ⓘ |
| contributedTo |
development of ratio theory in Islamic mathematics
ⓘ
transmission of Greek mathematics into Arabic tradition ⓘ |
| discipline | history of mathematics ⓘ |
| era | 9th century ⓘ |
| field |
geometry
ⓘ
mathematics ⓘ number theory ⓘ |
| focusesOn |
composition of ratios
ⓘ
generalization of proportional relationships ⓘ operations on ratios ⓘ |
| genre | mathematical treatise ⓘ |
| historicalPeriod | Islamic Golden Age NERFINISHED ⓘ |
| influenced | later Islamic mathematicians studying ratios ⓘ |
| influencedBy |
Elements by Euclid
NERFINISHED
ⓘ
Euclidean theory of proportion NERFINISHED ⓘ |
| language | Arabic ⓘ |
| mainSubject |
Greek mathematics
ⓘ
Islamic mathematics ⓘ proportions ⓘ ratios ⓘ theory of ratios ⓘ |
| partOf | corpus of Thabit ibn Qurra NERFINISHED ⓘ |
| preservedAs | manuscript copies in Arabic ⓘ |
| region | Abbasid Caliphate NERFINISHED ⓘ |
| relatedTo |
arithmetical ratios
ⓘ
geometrical ratios ⓘ theory of proportionality ⓘ |
| relatedWork |
other mathematical treatises by Thabit ibn Qurra
ⓘ
works of Euclid on proportion NERFINISHED ⓘ |
| scholarlyReception | studied in history of mathematics ⓘ |
| tradition | Hellenistic mathematical tradition in Arabic translation ⓘ |
| typeOfWork | theoretical mathematics text ⓘ |
| usedIn | medieval mathematical education in the Islamic world ⓘ |
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 Composition of Ratios Description of subject: On the Composition of Ratios is a mathematical treatise by Thabit ibn Qurra that develops and extends Greek theories of ratios and proportions within the framework of early Islamic mathematics.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.