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Ancient Greek mathematics
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===Medieval Islamic mathematics=== Numerous mathematical treatises were translated into Arabic in the 9th century; many works that are only extent today in Arabic translation, and there is evidence for several more that have since been lost.<ref>{{cite journal |last1=Lorch |first1=Richard |title=Greek-Arabic-Latin: The Transmission of Mathematical Texts in the Middle Ages |journal=Science in Context |date=June 2001 |volume=14 |issue=1–2 |pages=313–331 |doi=10.1017/S0269889701000114 |url=https://epub.ub.uni-muenchen.de/15929/ }}</ref><ref>{{cite journal |last1=Toomer |first1=G. J. |title=Lost greek mathematical works in arabic translation |journal=The Mathematical Intelligencer |date=January 1984 |volume=6 |issue=2 |pages=32–38 |doi=10.1007/BF03024153}}</ref> Medieval Islamic scientists such as [[Alhazen]] developed the ideas of the Ancient Greek geometry into advanced theories in optics and astronomy, and Diophantus' ''Arithmetica'' was synthezied with the works of [[Al-Khwarizmi]] and works from [[Indian mathematics]] to develop a theory of [[algebra]].{{sfn|Netz|2022}} The following works are extant only in Arabic translations:{{sfn|Høyrup|1990|pp=1-2}} * Apollonius, ''Conics'' books V–VII, ''Cutting Off of a Ratio'' * Archimedes, ''[[Book of Lemmas]]'' * [[Diocles (mathematician)|Diocles]], ''On Burning Mirrors'' * Diophantus, ''[[Arithmetica]]'' books IV–VII * Euclid, ''On Divisions of Figures'', ''On Weights'' * [[Menelaus of Alexandria|Menelaus]], ''Sphaerica'' * Hero, ''Catoptrica'', ''Mechanica'' * Pappus, ''Commentary on Euclid's Elements book X'', ''Collection'' Book VIII * Ptolemy, ''[[Planisphaerium]]'', Additionally, the work ''[[Optics (Ptolemy)|Optics]]'' by Ptolemy only survives in a [[Latin translations of the 12th century|Latin translations]] of the Arabic translation of a Greek original.
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