Treatise on the Division of Quadrants (Omar Khayyam)
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Treatise on the Division of Quadrants is a mathematical work by Omar Khayyam in which he investigates geometric constructions and the division of arcs and quadrants, contributing to the development of geometry beyond Euclid.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| Treatise on the Division of Quadrants | 0 |
Statements (32)
| Predicate | Object |
|---|---|
| instanceOf |
geometrical work
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mathematical treatise ⓘ |
| approximateCentury |
11th century
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12th century ⓘ |
| associatedPerson | Omar Khayyam NERFINISHED ⓘ |
| associatedWith | Persian mathematical tradition ⓘ |
| author | Omar Khayyam NERFINISHED ⓘ |
| authorNationality | Persian ⓘ |
| buildsUpon | Elements by Euclid NERFINISHED ⓘ |
| contextOfCreation | medieval Islamic science ⓘ |
| contributionTo | development of geometry beyond Euclid ⓘ |
| employs | rigorous geometric proofs ⓘ |
| field | mathematics ⓘ |
| focusesOn |
construction of arcs
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geometric solution of problems ⓘ subdivision of circular quadrants ⓘ |
| genre | scientific treatise ⓘ |
| hasAuthor | Omar Khayyam NERFINISHED ⓘ |
| historicalPeriod | Islamic Golden Age NERFINISHED ⓘ |
| influenced | later Islamic geometers ⓘ |
| influencedBy | Greek mathematics ⓘ |
| language | Arabic ⓘ |
| mainSubject |
division of arcs
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division of quadrants ⓘ geometric constructions ⓘ geometry ⓘ |
| originalTitleLanguage | Arabic ⓘ |
| relatedTo |
Islamic mathematics
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history of geometry ⓘ |
| studies |
properties of circular arcs
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subdivision of angles ⓘ |
| usesMethod | classical Euclidean geometry ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
Commentary on the Difficulties of Certain Postulates of Euclid
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relatedWork
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Treatise on the Division of Quadrants (Omar Khayyam)
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