Al-Khwarizmi's Al-jabr wa-l-muqabala
E311991
Al-Khwarizmi's *Al-jabr wa-l-muqabala* is a foundational 9th-century mathematical treatise that systematically introduced and developed algebra as an independent discipline.
All labels observed (7)
How this entity was disambiguated
This entity first appeared as the object of triple T2931419 — 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: Al-Khwarizmi's Al-jabr wa-l-muqabala Context triple: [Islamic mathematics, notableWork, Al-Khwarizmi's Al-jabr wa-l-muqabala]
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A.
al-Hidaya by al-Marghinani
Al-Hidaya by al-Marghinani is a seminal 12th-century Hanafi legal manual that systematically presents and analyzes Islamic jurisprudence and its rulings.
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B.
Al-Risala
Al-Risala is a foundational Islamic legal treatise by Imam al-Shafi'i that systematically outlines the principles and methodology of Sunni jurisprudence (usul al-fiqh).
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C.
Euclid's Elements
Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.
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D.
Al-Khwarizmi
Al-Khwarizmi was a pioneering Persian mathematician and astronomer whose works on algebra and algorithms profoundly shaped the development of mathematics and science.
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E.
Treatise on Demonstration of Problems of Algebra
Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
- 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: Al-Khwarizmi's Al-jabr wa-l-muqabala Target entity description: Al-Khwarizmi's *Al-jabr wa-l-muqabala* is a foundational 9th-century mathematical treatise that systematically introduced and developed algebra as an independent discipline.
-
A.
al-Hidaya by al-Marghinani
Al-Hidaya by al-Marghinani is a seminal 12th-century Hanafi legal manual that systematically presents and analyzes Islamic jurisprudence and its rulings.
-
B.
Al-Risala
Al-Risala is a foundational Islamic legal treatise by Imam al-Shafi'i that systematically outlines the principles and methodology of Sunni jurisprudence (usul al-fiqh).
-
C.
Euclid's Elements
Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.
-
D.
Al-Khwarizmi
Al-Khwarizmi was a pioneering Persian mathematician and astronomer whose works on algebra and algorithms profoundly shaped the development of mathematics and science.
-
E.
Treatise on Demonstration of Problems of Algebra
Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical treatise ⓘ work on algebra ⓘ |
| aim | to provide practical rules for calculation in legal and commercial contexts ⓘ |
| approximatePublicationDate | c. 820 ⓘ |
| associatedWith |
House of Wisdom in Baghdad
ⓘ
linked to:
House of Wisdom
|
| author |
Muhammad ibn Musa al-Khwarizmi
ⓘ
linked to:
Al-Khwarizmi
|
| classificationOfEquations | six canonical types of quadratic equations ⓘ |
| commissionedBy |
Caliph al-Ma'mun
ⓘ
linked to:
al-Ma'mun
|
| countryOfOrigin | Abbasid Caliphate ⓘ |
| definesOperation |
al-jabr (restoration or completion)
ⓘ
al-muqabala (balancing or reduction) ⓘ |
| era | Islamic Golden Age ⓘ |
| field |
algebra
ⓘ
mathematics ⓘ |
| genre | didactic mathematical text ⓘ |
| historicalSignificance |
helped separate algebra from geometry and arithmetic
ⓘ
one of the earliest systematic works on solving linear and quadratic equations ⓘ |
| impact |
introduced the term algebra into European languages
ⓘ
standard reference for algebra for several centuries ⓘ |
| influenced |
Renaissance mathematics
ⓘ
development of algebra in the Islamic world ⓘ medieval European mathematics ⓘ |
| introducesDiscipline | algebra as an independent field ⓘ |
| LatinTitle |
Liber algebrae et almucabala
ⓘ
linked to:
Al-Khwarizmi's Al-jabr wa-l-muqabala
|
| method | geometric proofs for algebraic solutions ⓘ |
| originalLanguage | Arabic ⓘ |
| placeOfComposition | Baghdad ⓘ |
| preservation | known through later copies and Latin translations ⓘ |
| preservedIn | Arabic manuscripts ⓘ |
| publicationCentury | 9th century ⓘ |
| regionOfInfluence | Islamic Golden Age ⓘ |
| relatedConcept | algorithm (via al-Khwarizmi's name) ⓘ |
| shortTitle |
Al-jabr wa-l-muqabala
ⓘ
linked to:
Al-Khwarizmi's Al-jabr wa-l-muqabala
|
| subjectMatter |
arithmetical operations
ⓘ
commercial transactions ⓘ geometric justifications of algebraic rules ⓘ inheritance calculations ⓘ land measurement ⓘ rules for completing the square ⓘ solution of linear equations ⓘ solution of quadratic equations ⓘ |
| titleMeaning |
The Compendious Book on Calculation by Completion and Balancing
ⓘ
linked to:
Al-Khwarizmi's Al-jabr wa-l-muqabala
|
| translatedInto | Latin ⓘ |
| usesNotation | rhetorical algebra (no symbolic notation) ⓘ |
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: Al-Khwarizmi's Al-jabr wa-l-muqabala Description of subject: Al-Khwarizmi's *Al-jabr wa-l-muqabala* is a foundational 9th-century mathematical treatise that systematically introduced and developed algebra as an independent discipline.
Referenced by (7)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Al-Khwarizmi's Al-jabr wa-l-muqabala
linked to: Al-Khwarizmi's Al-jabr wa-l-muqabala
linked to: Al-Khwarizmi's Al-jabr wa-l-muqabala
Al-Khwarizmi's Al-jabr wa-l-muqabala
→
titleMeaning
→
The Compendious Book on Calculation by Completion and Balancing
ⓘ
linked to: Al-Khwarizmi's Al-jabr wa-l-muqabala
linked to: Al-Khwarizmi's Al-jabr wa-l-muqabala
linked to: Al-Khwarizmi's Al-jabr wa-l-muqabala