Английская Википедия:Book on the Measurement of Plane and Spherical Figures

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Файл:F. 122r from Kitāb al-mutawassiṭāt.jpg

A page of the Book on the Measurement of Plane and Spherical Figures, Columbia University, New York

The Book on the Measurement of Plane and Spherical Figures (Шаблон:Lang-ar, Шаблон:Transliteration)Шаблон:Refn was the most important of the works produced by the Banū Mūsā.Шаблон:Sfn A Latin translation by the 12th century Italian astrologer Gerard of Cremona was made, entitled Шаблон:Lang and Шаблон:Lang. The original work in Arabic was edited by the Persian polymath Naṣīr al‐Dīn al‐Ṭūsī in the 13th century. The original work in Arabic is not extant, but its contents are known from later translations.Шаблон:Sfn

The treatise, which is about geometry, was similar to two books by Archimedes, On the measurement of the circle and On the sphere and the cylinder. It was used extensively in the Middle Ages, and was quoted by authors such as Thābit ibn Qurra, Ibn al‐Haytham, Leonardo Fibonacci (in his Шаблон:Lang), Jordanus de Nemore, and Roger Bacon.Шаблон:Sfn It deals with the geometrical concepts of area and volume, angle trisection, construction, and conic sections.Шаблон:Sfn It includes theorems not known to the Greeks.Шаблон:Sfn

The book was re-published in Latin with an English translation by the American historian Marshall Clagett, who has also summarized how the work influenced mathematicians during the Middle Ages.Шаблон:Sfn

See also

• Mathematics in the medieval Islamic world

Sources

• Шаблон:Cite book (PDF version)
• Шаблон:Cite book
• Шаблон:Cite journal
• Шаблон:Cite journal
• Шаблон:Cite encyclopedia

Further reading

• Шаблон:Cite book
• A manuscript facsimile of Шаблон:Transliteration kept at Columbia University, New York (via the Internet Archive). The treatise Шаблон:Transliteration is located from pp. 253Шаблон:Ndash265 (f. 116 to 122).