The following article focuses on the cubic measure of the volume of the sphere in Arabic mathematics. After a short presentation of the Greek and Chinese ancient legacies on this topic, the article surveys thoroughly the different formulas methods proposed by the mathematicians of the Arabic-Islamic civilization from the 9th to the 17th century to measure the volume of the sphere. The achievements of eminent scholars are thus presented: Banu Musa, Al-Buzgani, Al-Karaji, Ibn Tahir al-Baghdadi, Ibn al-Haytham, Ibn al-Yasamin, Al-Khawam al-Baghdadi, Kamal al-Din al-Farisi, Jamshid al-Kashi, and Baha' al-Din al-'Amili.
The Volume of the Sphere in Arabic Mathematics: Historical and Analytical Survey
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Figure 1. The Tabula Rogeriana, drawn by al-Idrisi for Roger II of Sicily in 1154, one of the most advanced ancient world maps. Modern consolidation, created from the 70 double-page spreads of the original atlas. (Source)
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