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.

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Statements (32)

Predicate Object
instanceOf geometrical work ⓘ
mathematical treatise ⓘ
approximateCentury 11th century ⓘ
12th century ⓘ
associatedPerson Omar Khayyam ⓘ
associatedWith Persian mathematical tradition ⓘ
author Omar Khayyam ⓘ
authorNationality Persian ⓘ
buildsUpon Elements by Euclid ⓘ
linked to: Euclid's Elements
contextOfCreation medieval Islamic science ⓘ
contributionTo development of geometry beyond Euclid ⓘ
employs rigorous geometric proofs ⓘ
field mathematics ⓘ
focusesOn construction of arcs ⓘ
geometric solution of problems ⓘ
subdivision of circular quadrants ⓘ
genre scientific treatise ⓘ
hasAuthor Omar Khayyam ⓘ
historicalPeriod Islamic Golden Age ⓘ
influenced later Islamic geometers ⓘ
influencedBy Greek mathematics ⓘ
language Arabic ⓘ
mainSubject division of arcs ⓘ
division of quadrants ⓘ
geometric constructions ⓘ
geometry ⓘ
originalTitleLanguage Arabic ⓘ
relatedTo Islamic mathematics ⓘ
history of geometry ⓘ
studies properties of circular arcs ⓘ
subdivision of angles ⓘ
usesMethod classical Euclidean geometry ⓘ

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Referenced by (1)

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Commentary on the Difficulties of Certain Postulates of Euclid → relatedWork → Treatise on the Division of Quadrants (Omar Khayyam) ⓘ