Article ID: CBB001551207

On Menelaus' Spherics III.5 in Arabic Mathematics, II: Naṣīr al-Dīn al-Ṭūsī and Ibn Abī Jarrāda (2015)


In his Sphaerica, Menelaus did not prove Proposition III.5 which is particularly important. He only gave an outline of a proof. Once the Sphaerica were translated into Arabic, mathematicians, starting from the end of the 9th century on, took up this proof. That was made possible to Ibn Ir q thanks to the development of spherical geometry. A first paper contained the history of his contribution. Two other mathematicians, from the 13th century -- Na r al-D n al- s and Ibn Ab Jarr da -- worked out again the proof of the proposition with the help of Menelaus' book and of the new acquisitions of Ibn Ir q. This is the subject of this second paper.

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Authors & Contributors
De Young, Gregg
Yamomoto, Keiji
Burnett, Charles
Ragep, F. Jamil
Morelon, Régis
Dallal, Ahmad S.
Tarikh-e Elm (The Iranian Journal for the History of Science)
Arabic Sciences and Philosophy
Suhayl: Journal for the History of the Exact and Natural Sciences in Islamic Civilisation
Sciamvs: Sources and Commentaries in Exact Sciences
Journal of World History
Springer Nature
Arab/Islamic world, civilization and culture
Cross-cultural interaction; cultural influence
al-Ṭūsī, Abū Jaʿfar Muḥammad Naṣīr al-Dīn
Quṭb al-Dīn Shīrāzī
Hunain Ibn Ishaq, Abu Zaid, Al-'Ibadi
Time Periods
9th century
14th century
13th century
10th century
Rome (Italy)

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