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Banū Mūsā brothers

The three brothers Abū Jaʿfar, Muḥammad ibn Mūsā ibn Shākir (before 803 – February 873); Abū al‐Qāsim, Aḥmad ibn Mūsā ibn Shākir (d. 9th century) and Al-Ḥasan ibn Mūsā ibn Shākir (d. 9th century), were Persian scholars who lived and worked in Baghdad. They are collectively known as the Banū Mūsā (Arabic: بنو موسی, "Sons of Mūsā (or Moses)").

Banū Mūsā
بنوموسی
Born9th century
RelativesNuʿaym ibn Muḥammad ibn Mūsā, the son of Abu Ja'far Muhammad
Academic work
EraIslamic Golden Age
InstitutionsHouse of Wisdom
Main interestsAstronomy, geometry, mathematics, technology
Notable worksKitab al-Hiyal al-Naficah ("The Book of Ingenious Devices");
Kitāb Maʿrifah masāḥat al-ashkāl al-basīṭah wa-al-kuriyyah ("Book on the Measurement of Plane and Spherical Figures")

The Banū Mūsā were the sons of Mūsā ibn Shākir, who was a well-known Astronomer of al-Ma'mun, a son of the Abbasid caliph Harun al-Rashid. After their father's death, the brothers received an education under al-Ma'mun’s direction, and were enrolled at the House of Wisdom in Baghdad. There they undertook the translation of ancient Greek works acquired from Byzantium, which they used to develop their own technological, mathematical and astronomical ideas. They were some of the earliest scholars to adopt Greek mathematics, but innovative in their approach to the concepts of area and circumference by expressing them using numerical values instead of ratios. They made geodesic measurements to determine the length of a degree of latitude, and so obtained a relatively accurate value for the circumference of the Earth.

The Banū Mūsā wrote almost 20 books, all but three of which are now lost. The most important of all their works was a treatise on geometry, Kitāb Maʿrifah masāḥat al-ashkāl al-basīṭah wa-al-kuriyyah ("Book on the Measurement of Plane and Spherical Figures"), which was used extensively by medieval mathematicians. Their most famous extant work (of which the oldest and most reliable copy is in the Topkapi Sarayi in Istanbul) is Kitab al-Hiyal al-Naficah ("Book of Ingenious Devices"). It describes 100 inventions, many of which were pouring vessels, intended to entertain party guests. Some of their innovations, such as those that involved fluid pressure variations and valves, remained unsurpassed until the modern period. One of those inventions includes an automatic flute player that may have been the first programmable machine or computer.

Biographical details edit

Early years edit

Moḥammad, Aḥmad, and Ḥasan were the three sons of Mūsā ibn Shākir.[1] They are always listed in sources in what is assumed by scholars to be their order of seniority.[2] Musa was A Persian from Khorasan and a well-known Astronomer,[3][note 1]

al-Ma'mun, a son of the Abbasid caliph Harun al-Rashid who was staying in Merv. Al-Maʾmūn, who became caliph in 813, employed Musa as an astronomer.[1][5] According to one story, al Ma’mun saw the Greek polymath Aristotle in a dream telling him about the importance of natural philosophy, which resulted in al-Ma’mun supporting the work then being done by scholars, during what has been called by some historians of science as the Islamic Golden Age.[6][7]

After their father's death, the three orphaned children were cared for at the court of al-Maʾmūn, who made the senior Baghdad official Ishaq ibn Ibrahim al-Mus'abi their guardian.[8][9] Al-Ma’mun recognized their abilities, and enrolled them in the House of Wisdom, an institution created by him as a centre for collecting, translating and studying books from other lands.[10][11] In Baghdad, where they apparently lived for the rest of their lives, the three brothers studied geometry, mechanics, music, mathematics and astronomy, trained by a senior court astrologer, Yaḥyā bin Abī Manṣūr.[1][4]

Accomplishments under the Abbasid Caliphate edit

The Banū Mūsā assisted al-Ma'mun's in his obsession to obtain and translate works from Greek into Arabic. They sent for Greek texts from the Byzantines, or travelled themselves to Byzantium to acquire them.[12] During their working lives they used their wealth and energy towards the translation of these works.[2] On his way home to Baghdad from Byzantium, Muhammad met and recruited Thābit ibn Qurra,[12] a money changer from Harran. Thābit went on to make important discoveries in algebra, geometry, and astronomy.[1][13]

Under the direction of al-Ma'mun, the Banū Mūsā worked with the most talented men available, including al-Khwarizmi, al-Kindi, Al-Ḥajjāj ibn Yūsuf ibn Maṭar, and the mathematician and translator Hunayn ibn Ishaq, who became a close friend of one of the brothers, Muhammad.[4] Of the translators, three were paid about 500 dinars a month.[14] None of the brothers were medically trained, and relied upon Ishaq bin Hunayn and Thabit bin Qurra to translate Greek medical works.[15] They exchanged ideas with other experts, including the astrologer Abu Ma'shar al-Balkhi, with whom Muhammed was in continuous contact.[16]

The brothers are likely to have used portable instruments such as armillary spheres or dials when making their observations, which were recorded from around 847 to 869. From their Baghdad home, they observed stars in the constellation Ursa Major In 847–848, and measured the maximum and minimum altitudes of the Sun in 868–869. They also observed the September equinox in the Persian city of Samarra. To calculate the difference in latitude between Samarra and Nishapur, they organized simultaneous observations of a lunar eclipse.[17]

Whilst working for al-Ma’mun, the Banū Mūsā travelled to a desert near Sanjar, in northern Mesopotamia, with the aim of measuring the length of a degree of latitude along a meridian, and from that verifying a value of 25,000 miles (40,000 km) obtained by the Greeks for the Earth's circumference.[1][12][18] They first measured the altitude of the Pole Star, and then, using pegs and a rope as they moved north, stopped again when the altitude of the star changed by one degree. They repeated the same measurement, this time travelling southwards. The process was repeated at al-Kufa. From their measurements, the brothers obtained a value for the circumference of the Earth of 24,000 miles (39,000 km).[18]

Under the patronage of the caliphs that followed al Ma’mun—al-Mu'tasim, al-Wathiq, and al-Mutawakkil—the brothers continued to acquire great wealth and become influential in court. They used much of their wealth to collect the works of ancient writers, a practise that was later copied by other scholars at the House of Wisdom.[4][8] The brothers were very active during the reign of al-Mutawakkil, who was interested in mechanics, and asked the Banū Mūsā to write on this subject.[19] A son of al-Mu'tasim was educated by Ahmad, but the brothers' relations with the caliph are otherwise unknown. When close to death, al-Mu'tasim's successor al-Wathiq called together his astrologers, including Muhammed, who erroneously pronounced that the caliph would live for another 50 years.[19]

Involvement in politics edit

The Banū Mūsā's employment by the caliphs for different civil engineering projects, including their involvement in the building of the city of al-D̲j̲aʿfariyya for al-Mutawakki, led to them becoming involved in court politics. In 860, the Banū Mūsā and Mutawakkil’s architects were involved in obtaining land for a new city. The caliph’s advisor suggested that Muhammed and Ahmad bin Musa should be forced to contribute towards the expense of a new palace nearby.[20]

The peak of Muhammad's political activity came towards the end of his life, when Turkish commanders were starting to take control of the state. After the death of al-Mutawakkil, Muhammad helped al-Mustaʿīn to become nominated as caliph. Denied the throne, Al-Mustaʿīn's brother besieged Baghdad, and Muhammad was sent to estimate the size of the attacking army. After the siege, he was sent to find out the terms for al-Mustaʿīn to abdicate.[19]

Jaʻfariyya canal edit

It was during the reigns of al-Wathiq and al-Mutawakkil that internal rivalries arose between the scholars there. The Banū Mūsā became enemies of al-Kindi, and assisted in his persecution by al-Mutawakkil.[4] They criticized and ridiculed his treatise on the astrolabe, and caused al-Mutawakkil to have him beaten, removed from court, and his library confiscated. The library was returned back to him at a later date with the help of the Persian Jewish scholar Sanad ibn Ali, who insisted the library was returned as a condition to him assisting the Banū Mūsā over his judgement concerning the construction of a canal for the city of al-Ja’fariyya.[16][21]

Shortly before his death, Mutawakkil gave the Banū Mūsā overall responsibility for building the al-Ja’fariyya canal; they in turn delegated the work to Fargftani. The caliph discovered that, due to an engineering error, once built, the water in the canal would drain away. He decreed that the brothers would be crucified beside the canal if this happened. Sanad bin Ah', who was the caliph's consultant engineer, agreed to proclaim—four months before the truth was to be revealed, and knowing that astrologers had predicted that the caliph was close to death—that no error had been made. The brothers were saved from execution when the caliph was assassinated shortly afterwards.[19]

Deaths edit

Of the three brothers, only the year that Mohammed died—January 873—is known.[2]

Works edit

The Banū Mūsā wrote almost 20 books.[12] Moḥammad was the most productive of the brothers; of his many works, one still exists.[1] They worked together as well as separately: Jafar Muhammad was an expert on mathematics and astronomy, Ahmad excelled in technology, and al-Hasan on mathematics.[4] Muhammed knew the works of both Euclid and Ptolemy, and was considered by contemporaries to be an expert mathematician, astronomer, and philosopher.[8]

All but three of the books attributed by scholars to the Banū Mūsā are now lost.[22] Many of the lost works are named in the Book of Ingenious Devices, their most famous work.[3]

Astronomy and astrology edit

The Banū Mūsā are known to have made many astronomical observations in Baghdad.[12] Kitāb bayyana fīhī bi-ṭarīq taʿlīmī wa-madhhab handasī annahū laysa fī khārij kurat al-kawākib al-thābitah kurah tāsiʿah[23] ("Book on the Mathematical Proof by Geometry that there Is not a Ninth Sphere Outside the Sphere of the Fixed Stars") is a lost book, reportedly written by Ahmed.[12] Also referred to as the Kitāb al-Hay’a ("Book of Astronomy"), or the Kitāb Ḥarakāt al-falak al-ūlā ("Book on the First Motion of the Celestial Sphere"), the work analysed the Ptolemy's geocentric model of the cosmos, in which a ninth sphere is responsible for the motion of the heavens, and instead considered that the Sun, the Moon, the planets, and the stars all moved of their own volition.[12]

 
Cover of the digitized version of the Kitāb al-Daraj (Princeton University Library)

The other astronomical or astrological works by the Banū Mūsā are:

  • Kitāb al-Daraj ("The Book of Degrees");[1]
  • Kitāb fī ʿamal al-asṭurlāb ("Book on the Construction of the Astrolabe"), a work quoted by the 11th century Persian scholar al-Biruni;[12]
  • Kitāb fī sanat al-shams bil-irṣād ("Book on the Solar Year"), which was once attributed to Thābit ibn Qurra;[12][24]
  • Ruyʾat al-hilāl ʿalá raʾy Abī Jaʿfar[25] ("On the Visibility of the Crescent"), by Muhammad;[12]
  • Book on the Beginning of the World, by Muhammad,[12] now lost;[26]
  • A non-extant zij (an Islamic astronomical book used to calculate the positions of the Sun and objects in the night sky) by Ahmad was mentioned by the Egyptian astronomer and mathematician Ibn Yunus in his Az-Z0j al-Kabir al-Hdkim, written in c. 990;[12][27]
  • A separate non-extant zij by the Banū Mūsā was mentioned by Ibn Yunus.[12][28]
  • A translation of a Chinese work called A Book of Degrees on the Nature of Zodiacal Signs;[12]

The calculation by Moḥammad and Aḥmad of the Sun’s mean motion in a year agreed with the result obtained by al-Bīrūnī—that a solar year was 365 days and less than 6 hours long. Aḥmad independently reached a similar conclusion in 851–852. They observed the longitude of Regulus from their house on a bridge in Baghdad in 840–841, 847–848, and 850–851, and made observations of Sirius, Al-Bīrūnī used data about the Moon obtained by the Banū Mūsā in his astrological calculations.[1]

Mathematics edit

The Banū Mūsā were some of the earliest scholars to adopt Greek mathematics. They differed from the Greeks in their approaches to the concepts of area and circumference, giving them numerical values rather than considering them in terms of ratios.[4]

Book on the Measurement of Plane and Spherical Figures edit

 
A page of the Kitāb maʻrifat masāḥat al-ashkāl al-basīṭah wa-al-kurīyah ("Book on the Measurement of Plane and Spherical Figures"), Columbia University, New York

The most important of the works produced by the Banū Mūsā was the Kitāb maʻrifat masāḥat al-ashkāl al-basīṭah wa-al-kurīyah ("Book on the Measurement of Plane and Spherical Figures"), of which a commentary was made by the persian polymath Naṣīr al‐Dīn al‐Ṭūsī in the 13th century.[10][29] A Latin translation by the 12th century Italian astrologer Gerard of Cremona appeared entitled Liber trium fratrum de geometria and Verba filiorum Moysi filii Sekir.[12] This treatise on geometry, which is similar to Archimedes's On the measurement of the circle and On the sphere and the cylinder.[4] was used extensively in the Middle Ages, and was quoted by authors such as Thābit ibn Qurra, Ibn al‐Haytham, Leonardo Fibonacci (in his Practica geometriae), Jordanus de Nemore, and Roger Bacon.[12] It includes theorems not known to the Greeks.[30] 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.[1]

Other mathematical works edit

The other known mathematical works by the Banū Mūsā were:

  • Three works relating to Conic Sections, a book by the astronomer Apollonius of Perga. Conic Sections was first translated to Arabic by Hilāl al-ḥimṣī and Thābit ibn Qurra. One of these three works, lī-kitāb Abulūnyūs fī al-maḫrūṭāt ("Conic Sections of Apollonius"), by Muhammed, was a recension of Apollonius's book.[26][31]
  • Kitāb al-shakl al-mudawwar al-mustaṭīl ("The Book of the Elongated Circular Figure"),[32][33] a mathematical treatise by al-Hasan—and the only one that is attributed to him— now lost.[1][26] It contained a description of a procedure used to draw an ellipse using a length of string, a technique that is now known as the "gardener's construction";[12]
  • Fī tathlīth al-zāwiyah or Qawl Aḥmad ibn Shākir fī tathlīth al-zāwiyah ("Reasoning on the Trisection of an Angle"), by Aḥmad;[12][34] The treatise attempted to solve the classical problem of trisecting an angle.[4] The manuscript and medieval Latin translations are extant.[15] The two known manuscripts containing the treatise, MS. Marsh 720 and MS. Thurston 3, are held in the Bodleian Library at Oxford University.[34]
  • Kitāb al-shakl al-handasī alladhī bayyanahu Jālīnūs ("Book on a Geometric Proposition Proved by Galen").[12] A lost book by Muhammed.[15]

Technology edit

The Book of Ingenious Devices edit

 
An invention from a 13th century manuscript copy of the Kitab al-Hiyal al-Naficah ("The Book of Ingenious Devices"), Berlin State Library

Kitab al-Hiyal al-Naficah ("The Book of Ingenious Devices"), the only surviving work by Aḥmad,[1] describes 100 inventions, 25 of which had a practical use.[35] These include mechanical fountains, a "hurricane" lamp, self-trimming and self-feeding lamps, a form of gas mask for use underground, and a grabbing tool, constructed in the same way as a modern clamshell grab, for recovering underwater objects.[36] The book's other inventions are ingeniously built pouring vessels, designed to puzzle guests at parties. It is thought that some of these models were never constructed.[37][35][36]

The inventions employ innovative engineering ideas, such as automatic one-way and two-way valves, mechanical memories, devices capable of responding to feedback, and delay mechanisms. Most of them were operated by water pressure.[37] The trick vessels are unimportant in themselves; their significance for historians of engineering is the means by which they were developed.[36] Many of Ahmad's ideas were obtained from Greek texts such as Philo of Byzantium's Pneumatics (3rd century BCE) and Hero of Alexandria's Pneumatics (written in the 1st century CE). However, some of the devices, particularly when involving small variations in fluid pressure, and automatic control components such as valves, were developed by the Banū Mūsā.[22]

The most important copies of the Kitab al-Hiyal al-Naficah are:[35]

  • a complete manuscript held at the Vatican Library (no. 317);
  • a manuscript in two parts kept at the Berlin State Library (Ahlward No. 5562) and Gotha (Pertsch No. 1349);
  • the manuscript at the Topkapi Sarayi (A 3474), which is both the oldest and most reliable of the all the extant copies of the work.[35]

Other works edit

The other technology-based works by the Banū Mūsā were:

  • Kitāb fī al-qarasṭūn ("A Book on the Qarasṭūn"), a treatise on the weight balance, or steelyard.[31][38] Thabit bin Qurra also wrote a book on the steelyard.[15]
  • A Book on the Description of the Instrument Which Sounds by Itself. A copy of the manuscript is held in Beirut.[31] The Banū Mūsā are credited with inventing the first music sequencer, as described in the manuscript, as an example of an early type of programmable machine.[39]
  • Kitāb al-masʾalah allatī alqāhā ʿalá Sanad ibn ʿAlī, a treatise containing a discussion between Ahmad and Sanad ibn Ali,[15][40] possibly about the difficulties encountered by the Banū Mūsā due to the failure by their agent Al-Farghani to properly build the Jaʻfariyya canal.[1]

See also edit

Notes edit

  1. ^ The brothers were not individually distinguished by many historical sources of information.[4]

References edit

  1. ^ a b c d e f g h i j k l Pingree 1988.
  2. ^ a b c Bir 1990, p. 1.
  3. ^ a b Bennison 2009, p. 187.
  4. ^ a b c d e f g h i O'Connor, J.J.; Robertson, E.F. (1999). "Banu Musa brothers". MacTutor. University of St Andrews. Retrieved 18 March 2023.
  5. ^ Rekaya, M. (2012). "al-Maʾmūn". Encyclopaedia of Islam, Second Edition. Retrieved 22 April 2023.
  6. ^ Bir 1990, pp. 1–2.
  7. ^ Hajar 2013.
  8. ^ a b c Bir 1990, p. 2.
  9. ^ Meri 2005, p. 402.
  10. ^ a b al-Dabbagh 1970, p. 444.
  11. ^ al-Khalili 2011, p. 68.
  12. ^ a b c d e f g h i j k l m n o p q r s Casulleras 2007.
  13. ^ Palmeri 2007.
  14. ^ Gutas 1998, p. 133.
  15. ^ a b c d e Bir 1990, p. 6.
  16. ^ a b Bir 1990, p. 5.
  17. ^ Blake 2016, p. 39.
  18. ^ a b Bir 1990, p. 3.
  19. ^ a b c d Bir 1990, p. 4.
  20. ^ Bir 1990, pp. 4–5.
  21. ^ Bennison 2009, p. 191.
  22. ^ a b Hill 2008.
  23. ^ "Kitāb bayyana fīhī bi-ṭarīq taʿlīmī wa-madhhab handasī annahū laysa fī khārij kurat al-kawākib al-thābitah kurah tāsiʿah". Islamic Scientific Manuscripts Initiative. Retrieved 20 March 2023.
  24. ^ "Kitāb fī sanat al-shams bil-irṣād كتاب في سنة الشمس بالإرصاد Thābit ibn Qurrah al-Ḥarrānī ثابت بن قرّة الحرّاني [9v] (17/17)". Qatar National Library. 20 November 2014. Retrieved 22 April 2023.
  25. ^ "Ruyʾat al-hilāl ʿalá raʾy Abī Jaʿfar Muḥammad ibn Mūsá ibn Shākir". Islamic Scientific Manuscripts Initiative. Retrieved 20 March 2023.
  26. ^ a b c Bir 1990, pp. 6–7.
  27. ^ Kennedy 1956, p. 14.
  28. ^ Kennedy 1956, p. 13.
  29. ^ "Kitāb maʿrifah masāḥat al-ashkāl al-basīṭah wa-al-kuriyyah". Islamic Scientific Manuscripts Initiative. Retrieved 23 April 2023.
  30. ^ al-Dabbagh 1970, p. 445.
  31. ^ a b c al-Dabbagh 1970, p. 446.
  32. ^ "Kitāb al-shakl al-mudawwar al-mustaṭīl". Islamic Scientific Manuscripts Initiative. Retrieved 20 March 2023.
  33. ^ Rashed 2014, p. 559.
  34. ^ a b "Qawl Aḥmad ibn Shākir fī tathlīth al-zāwiyah". Islamic Scientific Manuscripts Initiative. Retrieved 20 March 2023.
  35. ^ a b c d Bir 1990, p. 8.
  36. ^ a b c Hill 1991.
  37. ^ a b Masood 2009, pp. 161–163.
  38. ^ "Kitāb fī al-qarasṭūn". Islamic Scientific Manuscripts Initiative. Retrieved 20 March 2023.
  39. ^ Long et al. 2017.
  40. ^ "Kitāb al-masʾalah allatī alqāhā ʿalá Sanad ibn ʿAlī". Islamic Scientific Manuscripts Initiative. Retrieved 20 March 2023.

Sources edit

  • Bennison, Amira K. (2009). The Great Caliphs: The Golden Age of the 'Abbasid Empire. New Haven, Connecticut: Yale University Press. ISBN 978-03001-5-227-2.
  • Bir, Atilla (1990). The Book "Kitab Al-Hiyal" of Banu Musa Bin Shakir, interpreted in Sense of Modern System and Control Engineering. Istanbul: Research Centre for Islamic History, Art and Culture. OCLC 24991757.
  • Blake, Stephen P. (2016). Astronomy and Astrology in the Islamic World. Edinburgh: Edinburgh University Press. ISBN 978-07486-4-911-2.
  • Casulleras, Josep (2007). "Wābkanawī: Shams al‐Munajjim [Shams al‐Dīn] Muḥammad ibn ҁAlī Khwāja al‐Wābkanawī [Wābkanawī]". In Hockey, Thomas; et al. (eds.). The Biographical Encyclopedia of Astronomers. Springer Publishers. pp. 92–94. doi:10.1007/978-0-387-30400-7_1433. ISBN 978-0-387-31022-0. (PDF version)
  • al-Dabbagh, J. (1970). "Banū Mūsā". In Gillispie, Charles Coulston; Holmes, Frederic Lawrence (eds.). Dictionary of Scientific Biography. Vol. 1. New York: Scribner. ISBN 9780684101149. OCLC 755137603.
  • Gutas, Dimitri (1998). Greek Thought, Arabic Culture: The Graeco-Arabic Translation Movement in Baghdad and Early ʻAbbāsid Society (2nd–4th/8th-10th centuries). New York: Routledge. ISBN 978-0-415-06132-2.
  • Hajar, Rachel (2013). "The Air of History Part III: The Golden Age in Arab Islamic Medicine An Introduction". Heart Views. 14 (1): 43–46. doi:10.4103/1995-705X.107125. ISSN 1995-705X. PMC 3621228. PMID 23580929.
  • Hill, Donald R. (1991). "Mechanical Engineering in the Medieval Near East". Scientific American. 264 (5): 100–105. doi:10.1038/scientificamerican0591-100. ISSN 0036-8733. JSTOR 24936907.
  • Hill, Ronald R. (2008). "Banū Mūsā". In Selin, Helaine (ed.). Encyclopaedia Of The History Of Science, Technology, And Medicine Non Western Cultures. Vol. 1. Brill Publishers.
  • Kennedy, Edward Stewart (1956). "A Survey of Islamic Astronomical Tables". Transactions of the American Philosophical Society. New Series. Philadelphia, Pennsylvania: American Philosophical Society. 46 (2): 123–177. doi:10.2307/1005726. hdl:2027/mdp.39076006359272. ISSN 0065-9746. JSTOR 1005726.
  • al-Khalili, Jim (2011). The House of Wisdom: How Arabic Science Saved Ancient Knowledge and Gave us the Renaissance. New York: Penguin Press. ISBN 978-15942-0-279-7.
  • Long, Jason; Murphy, Jim; Carnegie, Dale; Kapur, Ajay (2017). "Loudspeakers Optional: A history of non-loudspeaker-based electroacoustic music". Organised Sound. 22 (2): 195–205. doi:10.1017/S1355771817000103. S2CID 143427257.
  • Masood, Ehsan (2009). Science & Islam: A History. London: Icon Books. ISBN 978-18483-1-081-0.
  • Meri, Josef W., ed. (2005). Medieval Islamic Civilization: An Encyclopedia. Taylor & Francis. ISBN 978-11354-5-596-5.
  • Palmeri, JoAnn (2007). "Wābkanawī: Shams al‐Munajjim [Shams al‐Dīn] Muḥammad ibn ҁAlī Khwāja al‐Wābkanawī [Wābkanawī]". In Hockey, Thomas; et al. (eds.). The Biographical Encyclopedia of Astronomers. Springer Publishers. pp. 1129–1130. doi:10.1007/978-0-387-30400-7_1433. ISBN 978-0-387-31022-0.
  • Pingree, David (1988). "Banū Mūsā". Encyclopædia Iranica.
  • Rashed, Roshdi (2014). Classical Mathematics from Al-Khwarizmi to Descartes. Translated by Shank, Michael H. New York: Routledge. ISBN 978-13176-2-239-0.

Further reading edit

  • Chaarani, Mona Sanjakdar (24 June 2021). "The Automatic Mechanical Hydraulic Organ of the Banu Musa ibn Shakir". Muslim Heritage. Foundation for Science, Technology and Civilisation, UK (FSTCUK). Retrieved 21 March 2023.
  • al-Hassini, Salam T.S., ed. (2012). 1001 Inventions: The Enduring Legacy of Muslim Civilization (3rd ed.). Washington, DC: National Geographic Society. ISBN 978-1-4262-0934-5 – via Internet Archive.
  • Rashed, Roshdi, ed. (2009). Encyclopedia of the History of Arabic Science. Vol. 2. London; New York: Routledge. ISBN 978-0-203-40360-0.
  • Rashed, Roshdi (2012). El-Bizri, Nader (ed.). Founding Figures and Commentators in Arabic Mathematics: A History of Arabic Sciences and Mathematics. Vol. 1. Abingdon, UK; New York: Routledge. ISBN 978-11366-2-000-3.

Digitized manuscripts and translations edit

  • Manuscript facsimile of the Kitāb al-Daraj held in the Princeton University Library (Islamic Manuscripts, Garrett no. 501H)
  • The Book of Ingenious Devices:
  • A manuscript facsimile held in the Vatican Library (Manuscript Vaticani Arabi 317), a copy of which was made by the philosopher al ‘Afrit.
  • A manuscript facsimile held at the Berlin State Library (Ms. or. quart. 739).
  • A manuscript facsimile held at the University of Erfurt (Ms. orient. A 1349).
  • A manuscript facsimile of Kitāb al-mutawassiṭāt kept at Columbia University, New York (via the Internet Archive). The treatise Kitāb maʻrifat masāḥat al-ashkāl al-basīṭah wa-al-kurīyah is located from pp. 253–265 (f. 116 to 122).

Translations edit

  • Hill, Donald R., ed. (1979) [9th century]. The Book of Ingenious Devices. Dortrecht, Netherlands; Boston; London: D. Reidel. ISBN 978-90277-0-833-5. (PDF version)
  • Muḥammad ibn MūsáIbn Shākir; Gerard of Cremona; Curtze, M. (1885) [before 873]. Der liber trium fratrum de geometria. Nova acta der KSL. Leop.-Carol. Deutschen akademie der naturforscherbd. 49. Nr. 2 (in Latin and German). Halle: Druck von E. Blochmann & sohn – via Hathi Trust Digital Library.
  • Rosen, Frederic, ed. (1831). The Algebra of Mohammed ben Musa. Translated by Rosen, Frederic. London: John Murray. OCLC 1039506129.

External links edit

  •   Media related to Banū Mūsā at Wikimedia Commons
  • A list of works by the Banū Mūsā from the Islamic Scientific Manuscripts Initiative (ISMI) website
  • Pioneers of Engineering: Al-Jazari and the Banu Musa TV episode from Al Jazeera (25 minutes)
  • Meier, Allison (12 April 2016). "The 9th-Century Islamic "Instrument Which Plays by Itself"". Hyperallergic. Retrieved 21 March 2023.

banū, mūsā, brothers, three, brothers, abū, jaʿfar, muḥammad, mūsā, shākir, before, february, abū, qāsim, aḥmad, mūsā, shākir, century, Ḥasan, mūsā, shākir, century, were, persian, scholars, lived, worked, baghdad, they, collectively, known, banū, mūsā, arabic. The three brothers Abu Jaʿfar Muḥammad ibn Musa ibn Shakir before 803 February 873 Abu al Qasim Aḥmad ibn Musa ibn Shakir d 9th century and Al Ḥasan ibn Musa ibn Shakir d 9th century were Persian scholars who lived and worked in Baghdad They are collectively known as the Banu Musa Arabic بنو موسی Sons of Musa or Moses Banu MusaبنوموسیBorn9th centuryRelativesNuʿaym ibn Muḥammad ibn Musa the son of Abu Ja far MuhammadAcademic workEraIslamic Golden AgeInstitutionsHouse of WisdomMain interestsAstronomy geometry mathematics technologyNotable worksKitab al Hiyal al Naficah The Book of Ingenious Devices Kitab Maʿrifah masaḥat al ashkal al basiṭah wa al kuriyyah Book on the Measurement of Plane and Spherical Figures The Banu Musa were the sons of Musa ibn Shakir who was a well known Astronomer of al Ma mun a son of the Abbasid caliph Harun al Rashid After their father s death the brothers received an education under al Ma mun s direction and were enrolled at the House of Wisdom in Baghdad There they undertook the translation of ancient Greek works acquired from Byzantium which they used to develop their own technological mathematical and astronomical ideas They were some of the earliest scholars to adopt Greek mathematics but innovative in their approach to the concepts of area and circumference by expressing them using numerical values instead of ratios They made geodesic measurements to determine the length of a degree of latitude and so obtained a relatively accurate value for the circumference of the Earth The Banu Musa wrote almost 20 books all but three of which are now lost The most important of all their works was a treatise on geometry Kitab Maʿrifah masaḥat al ashkal al basiṭah wa al kuriyyah Book on the Measurement of Plane and Spherical Figures which was used extensively by medieval mathematicians Their most famous extant work of which the oldest and most reliable copy is in the Topkapi Sarayi in Istanbul is Kitab al Hiyal al Naficah Book of Ingenious Devices It describes 100 inventions many of which were pouring vessels intended to entertain party guests Some of their innovations such as those that involved fluid pressure variations and valves remained unsurpassed until the modern period One of those inventions includes an automatic flute player that may have been the first programmable machine or computer Contents 1 Biographical details 1 1 Early years 1 2 Accomplishments under the Abbasid Caliphate 1 3 Involvement in politics 1 4 Jaʻfariyya canal 1 5 Deaths 2 Works 2 1 Astronomy and astrology 2 2 Mathematics 2 2 1 Book on the Measurement of Plane and Spherical Figures 2 2 2 Other mathematical works 2 3 Technology 2 3 1 The Book of Ingenious Devices 2 3 2 Other works 3 See also 4 Notes 5 References 6 Sources 7 Further reading 7 1 Digitized manuscripts and translations 7 1 1 Translations 8 External linksBiographical details editEarly years edit Moḥammad Aḥmad and Ḥasan were the three sons of Musa ibn Shakir 1 They are always listed in sources in what is assumed by scholars to be their order of seniority 2 Musa was A Persian from Khorasan and a well known Astronomer 3 note 1 al Ma mun a son of the Abbasid caliph Harun al Rashid who was staying in Merv Al Maʾmun who became caliph in 813 employed Musa as an astronomer 1 5 According to one story al Ma mun saw the Greek polymath Aristotle in a dream telling him about the importance of natural philosophy which resulted in al Ma mun supporting the work then being done by scholars during what has been called by some historians of science as the Islamic Golden Age 6 7 After their father s death the three orphaned children were cared for at the court of al Maʾmun who made the senior Baghdad official Ishaq ibn Ibrahim al Mus abi their guardian 8 9 Al Ma mun recognized their abilities and enrolled them in the House of Wisdom an institution created by him as a centre for collecting translating and studying books from other lands 10 11 In Baghdad where they apparently lived for the rest of their lives the three brothers studied geometry mechanics music mathematics and astronomy trained by a senior court astrologer Yaḥya bin Abi Manṣur 1 4 Accomplishments under the Abbasid Caliphate edit The Banu Musa assisted al Ma mun s in his obsession to obtain and translate works from Greek into Arabic They sent for Greek texts from the Byzantines or travelled themselves to Byzantium to acquire them 12 During their working lives they used their wealth and energy towards the translation of these works 2 On his way home to Baghdad from Byzantium Muhammad met and recruited Thabit ibn Qurra 12 a money changer from Harran Thabit went on to make important discoveries in algebra geometry and astronomy 1 13 Under the direction of al Ma mun the Banu Musa worked with the most talented men available including al Khwarizmi al Kindi Al Ḥajjaj ibn Yusuf ibn Maṭar and the mathematician and translator Hunayn ibn Ishaq who became a close friend of one of the brothers Muhammad 4 Of the translators three were paid about 500 dinars a month 14 None of the brothers were medically trained and relied upon Ishaq bin Hunayn and Thabit bin Qurra to translate Greek medical works 15 They exchanged ideas with other experts including the astrologer Abu Ma shar al Balkhi with whom Muhammed was in continuous contact 16 The brothers are likely to have used portable instruments such as armillary spheres or dials when making their observations which were recorded from around 847 to 869 From their Baghdad home they observed stars in the constellation Ursa Major In 847 848 and measured the maximum and minimum altitudes of the Sun in 868 869 They also observed the September equinox in the Persian city of Samarra To calculate the difference in latitude between Samarra and Nishapur they organized simultaneous observations of a lunar eclipse 17 Whilst working for al Ma mun the Banu Musa travelled to a desert near Sanjar in northern Mesopotamia with the aim of measuring the length of a degree of latitude along a meridian and from that verifying a value of 25 000 miles 40 000 km obtained by the Greeks for the Earth s circumference 1 12 18 They first measured the altitude of the Pole Star and then using pegs and a rope as they moved north stopped again when the altitude of the star changed by one degree They repeated the same measurement this time travelling southwards The process was repeated at al Kufa From their measurements the brothers obtained a value for the circumference of the Earth of 24 000 miles 39 000 km 18 Under the patronage of the caliphs that followed al Ma mun al Mu tasim al Wathiq and al Mutawakkil the brothers continued to acquire great wealth and become influential in court They used much of their wealth to collect the works of ancient writers a practise that was later copied by other scholars at the House of Wisdom 4 8 The brothers were very active during the reign of al Mutawakkil who was interested in mechanics and asked the Banu Musa to write on this subject 19 A son of al Mu tasim was educated by Ahmad but the brothers relations with the caliph are otherwise unknown When close to death al Mu tasim s successor al Wathiq called together his astrologers including Muhammed who erroneously pronounced that the caliph would live for another 50 years 19 Involvement in politics edit The Banu Musa s employment by the caliphs for different civil engineering projects including their involvement in the building of the city of al D j aʿfariyya for al Mutawakki led to them becoming involved in court politics In 860 the Banu Musa and Mutawakkil s architects were involved in obtaining land for a new city The caliph s advisor suggested that Muhammed and Ahmad bin Musa should be forced to contribute towards the expense of a new palace nearby 20 The peak of Muhammad s political activity came towards the end of his life when Turkish commanders were starting to take control of the state After the death of al Mutawakkil Muhammad helped al Mustaʿin to become nominated as caliph Denied the throne Al Mustaʿin s brother besieged Baghdad and Muhammad was sent to estimate the size of the attacking army After the siege he was sent to find out the terms for al Mustaʿin to abdicate 19 Jaʻfariyya canal edit It was during the reigns of al Wathiq and al Mutawakkil that internal rivalries arose between the scholars there The Banu Musa became enemies of al Kindi and assisted in his persecution by al Mutawakkil 4 They criticized and ridiculed his treatise on the astrolabe and caused al Mutawakkil to have him beaten removed from court and his library confiscated The library was returned back to him at a later date with the help of the Persian Jewish scholar Sanad ibn Ali who insisted the library was returned as a condition to him assisting the Banu Musa over his judgement concerning the construction of a canal for the city of al Ja fariyya 16 21 Shortly before his death Mutawakkil gave the Banu Musa overall responsibility for building the al Ja fariyya canal they in turn delegated the work to Fargftani The caliph discovered that due to an engineering error once built the water in the canal would drain away He decreed that the brothers would be crucified beside the canal if this happened Sanad bin Ah who was the caliph s consultant engineer agreed to proclaim four months before the truth was to be revealed and knowing that astrologers had predicted that the caliph was close to death that no error had been made The brothers were saved from execution when the caliph was assassinated shortly afterwards 19 Deaths edit Of the three brothers only the year that Mohammed died January 873 is known 2 Works editThe Banu Musa wrote almost 20 books 12 Moḥammad was the most productive of the brothers of his many works one still exists 1 They worked together as well as separately Jafar Muhammad was an expert on mathematics and astronomy Ahmad excelled in technology and al Hasan on mathematics 4 Muhammed knew the works of both Euclid and Ptolemy and was considered by contemporaries to be an expert mathematician astronomer and philosopher 8 All but three of the books attributed by scholars to the Banu Musa are now lost 22 Many of the lost works are named in the Book of Ingenious Devices their most famous work 3 Astronomy and astrology edit The Banu Musa are known to have made many astronomical observations in Baghdad 12 Kitab bayyana fihi bi ṭariq taʿlimi wa madhhab handasi annahu laysa fi kharij kurat al kawakib al thabitah kurah tasiʿah 23 Book on the Mathematical Proof by Geometry that there Is not a Ninth Sphere Outside the Sphere of the Fixed Stars is a lost book reportedly written by Ahmed 12 Also referred to as the Kitab al Hay a Book of Astronomy or the Kitab Ḥarakat al falak al ula Book on the First Motion of the Celestial Sphere the work analysed the Ptolemy s geocentric model of the cosmos in which a ninth sphere is responsible for the motion of the heavens and instead considered that the Sun the Moon the planets and the stars all moved of their own volition 12 nbsp Cover of the digitized version of the Kitab al Daraj Princeton University Library The other astronomical or astrological works by the Banu Musa are Kitab al Daraj The Book of Degrees 1 Kitab fi ʿamal al asṭurlab Book on the Construction of the Astrolabe a work quoted by the 11th century Persian scholar al Biruni 12 Kitab fi sanat al shams bil irṣad Book on the Solar Year which was once attributed to Thabit ibn Qurra 12 24 Ruyʾat al hilal ʿala raʾy Abi Jaʿfar 25 On the Visibility of the Crescent by Muhammad 12 Book on the Beginning of the World by Muhammad 12 now lost 26 A non extant zij an Islamic astronomical book used to calculate the positions of the Sun and objects in the night sky by Ahmad was mentioned by the Egyptian astronomer and mathematician Ibn Yunus in his Az Z0j al Kabir al Hdkim written in c 990 12 27 A separate non extant zij by the Banu Musa was mentioned by Ibn Yunus 12 28 A translation of a Chinese work called A Book of Degrees on the Nature of Zodiacal Signs 12 The calculation by Moḥammad and Aḥmad of the Sun s mean motion in a year agreed with the result obtained by al Biruni that a solar year was 365 days and less than 6 hours long Aḥmad independently reached a similar conclusion in 851 852 They observed the longitude of Regulus from their house on a bridge in Baghdad in 840 841 847 848 and 850 851 and made observations of Sirius Al Biruni used data about the Moon obtained by the Banu Musa in his astrological calculations 1 Mathematics edit The Banu Musa were some of the earliest scholars to adopt Greek mathematics They differed from the Greeks in their approaches to the concepts of area and circumference giving them numerical values rather than considering them in terms of ratios 4 Book on the Measurement of Plane and Spherical Figures edit nbsp A page of the Kitab maʻrifat masaḥat al ashkal al basiṭah wa al kuriyah Book on the Measurement of Plane and Spherical Figures Columbia University New YorkThe most important of the works produced by the Banu Musa was the Kitab maʻrifat masaḥat al ashkal al basiṭah wa al kuriyah Book on the Measurement of Plane and Spherical Figures of which a commentary was made by the persian polymath Naṣir al Din al Ṭusi in the 13th century 10 29 A Latin translation by the 12th century Italian astrologer Gerard of Cremona appeared entitled Liber trium fratrum de geometria and Verba filiorum Moysi filii Sekir 12 This treatise on geometry which is similar to Archimedes s On the measurement of the circle and On the sphere and the cylinder 4 was used extensively in the Middle Ages and was quoted by authors such as Thabit ibn Qurra Ibn al Haytham Leonardo Fibonacci in his Practica geometriae Jordanus de Nemore and Roger Bacon 12 It includes theorems not known to the Greeks 30 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 1 Other mathematical works edit The other known mathematical works by the Banu Musa were Three works relating to Conic Sections a book by the astronomer Apollonius of Perga Conic Sections was first translated to Arabic by Hilal al ḥimṣi and Thabit ibn Qurra One of these three works li kitab Abulunyus fi al maḫruṭat Conic Sections of Apollonius by Muhammed was a recension of Apollonius s book 26 31 Kitab al shakl al mudawwar al mustaṭil The Book of the Elongated Circular Figure 32 33 a mathematical treatise by al Hasan and the only one that is attributed to him now lost 1 26 It contained a description of a procedure used to draw an ellipse using a length of string a technique that is now known as the gardener s construction 12 Fi tathlith al zawiyah or Qawl Aḥmad ibn Shakir fi tathlith al zawiyah Reasoning on the Trisection of an Angle by Aḥmad 12 34 The treatise attempted to solve the classical problem of trisecting an angle 4 The manuscript and medieval Latin translations are extant 15 The two known manuscripts containing the treatise MS Marsh 720 and MS Thurston 3 are held in the Bodleian Library at Oxford University 34 Kitab al shakl al handasi alladhi bayyanahu Jalinus Book on a Geometric Proposition Proved by Galen 12 A lost book by Muhammed 15 Technology edit The Book of Ingenious Devices edit nbsp An invention from a 13th century manuscript copy of the Kitab al Hiyal al Naficah The Book of Ingenious Devices Berlin State LibraryKitab al Hiyal al Naficah The Book of Ingenious Devices the only surviving work by Aḥmad 1 describes 100 inventions 25 of which had a practical use 35 These include mechanical fountains a hurricane lamp self trimming and self feeding lamps a form of gas mask for use underground and a grabbing tool constructed in the same way as a modern clamshell grab for recovering underwater objects 36 The book s other inventions are ingeniously built pouring vessels designed to puzzle guests at parties It is thought that some of these models were never constructed 37 35 36 The inventions employ innovative engineering ideas such as automatic one way and two way valves mechanical memories devices capable of responding to feedback and delay mechanisms Most of them were operated by water pressure 37 The trick vessels are unimportant in themselves their significance for historians of engineering is the means by which they were developed 36 Many of Ahmad s ideas were obtained from Greek texts such as Philo of Byzantium s Pneumatics 3rd century BCE and Hero of Alexandria s Pneumatics written in the 1st century CE However some of the devices particularly when involving small variations in fluid pressure and automatic control components such as valves were developed by the Banu Musa 22 The most important copies of the Kitab al Hiyal al Naficah are 35 a complete manuscript held at the Vatican Library no 317 a manuscript in two parts kept at the Berlin State Library Ahlward No 5562 and Gotha Pertsch No 1349 the manuscript at the Topkapi Sarayi A 3474 which is both the oldest and most reliable of the all the extant copies of the work 35 Other works edit The other technology based works by the Banu Musa were Kitab fi al qarasṭun A Book on the Qarasṭun a treatise on the weight balance or steelyard 31 38 Thabit bin Qurra also wrote a book on the steelyard 15 A Book on the Description of the Instrument Which Sounds by Itself A copy of the manuscript is held in Beirut 31 The Banu Musa are credited with inventing the first music sequencer as described in the manuscript as an example of an early type of programmable machine 39 Kitab al masʾalah allati alqaha ʿala Sanad ibn ʿAli a treatise containing a discussion between Ahmad and Sanad ibn Ali 15 40 possibly about the difficulties encountered by the Banu Musa due to the failure by their agent Al Farghani to properly build the Jaʻfariyya canal 1 See also editInventions in the Muslim world Mathematics in the medieval Islamic world Science in the medieval Islamic worldNotes edit The brothers were not individually distinguished by many historical sources of information 4 References edit a b c d e f g h i j k l Pingree 1988 a b c Bir 1990 p 1 a b Bennison 2009 p 187 a b c d e f g h i O Connor J J Robertson E F 1999 Banu Musa brothers MacTutor University of St Andrews Retrieved 18 March 2023 Rekaya M 2012 al Maʾmun Encyclopaedia of Islam Second Edition Retrieved 22 April 2023 Bir 1990 pp 1 2 Hajar 2013 a b c Bir 1990 p 2 Meri 2005 p 402 a b al Dabbagh 1970 p 444 al Khalili 2011 p 68 a b c d e f g h i j k l m n o p q r s Casulleras 2007 Palmeri 2007 Gutas 1998 p 133 a b c d e Bir 1990 p 6 a b Bir 1990 p 5 Blake 2016 p 39 a b Bir 1990 p 3 a b c d Bir 1990 p 4 Bir 1990 pp 4 5 Bennison 2009 p 191 a b Hill 2008 Kitab bayyana fihi bi ṭariq taʿlimi wa madhhab handasi annahu laysa fi kharij kurat al kawakib al thabitah kurah tasiʿah Islamic Scientific Manuscripts Initiative Retrieved 20 March 2023 Kitab fi sanat al shams bil irṣad كتاب في سنة الشمس بالإرصاد Thabit ibn Qurrah al Ḥarrani ثابت بن قر ة الحر اني 9v 17 17 Qatar National Library 20 November 2014 Retrieved 22 April 2023 Ruyʾat al hilal ʿala raʾy Abi Jaʿfar Muḥammad ibn Musa ibn Shakir Islamic Scientific Manuscripts Initiative Retrieved 20 March 2023 a b c Bir 1990 pp 6 7 Kennedy 1956 p 14 Kennedy 1956 p 13 Kitab maʿrifah masaḥat al ashkal al basiṭah wa al kuriyyah Islamic Scientific Manuscripts Initiative Retrieved 23 April 2023 al Dabbagh 1970 p 445 a b c al Dabbagh 1970 p 446 Kitab al shakl al mudawwar al mustaṭil Islamic Scientific Manuscripts Initiative Retrieved 20 March 2023 Rashed 2014 p 559 a b Qawl Aḥmad ibn Shakir fi tathlith al zawiyah Islamic Scientific Manuscripts Initiative Retrieved 20 March 2023 a b c d Bir 1990 p 8 a b c Hill 1991 a b Masood 2009 pp 161 163 Kitab fi al qarasṭun Islamic Scientific Manuscripts Initiative Retrieved 20 March 2023 Long et al 2017 Kitab al masʾalah allati alqaha ʿala Sanad ibn ʿAli Islamic Scientific Manuscripts Initiative Retrieved 20 March 2023 Sources editBennison Amira K 2009 The Great Caliphs The Golden Age of the Abbasid Empire New Haven Connecticut Yale University Press ISBN 978 03001 5 227 2 Bir Atilla 1990 The Book Kitab Al Hiyal of Banu Musa Bin Shakir interpreted in Sense of Modern System and Control Engineering Istanbul Research Centre for Islamic History Art and Culture OCLC 24991757 Blake Stephen P 2016 Astronomy and Astrology in the Islamic World Edinburgh Edinburgh University Press ISBN 978 07486 4 911 2 Casulleras Josep 2007 Wabkanawi Shams al Munajjim Shams al Din Muḥammad ibn ҁAli Khwaja al Wabkanawi Wabkanawi In Hockey Thomas et al eds The Biographical Encyclopedia of Astronomers Springer Publishers pp 92 94 doi 10 1007 978 0 387 30400 7 1433 ISBN 978 0 387 31022 0 PDF version al Dabbagh J 1970 Banu Musa In Gillispie Charles Coulston Holmes Frederic Lawrence eds Dictionary of Scientific Biography Vol 1 New York Scribner ISBN 9780684101149 OCLC 755137603 Gutas Dimitri 1998 Greek Thought Arabic Culture The Graeco Arabic Translation Movement in Baghdad and Early ʻAbbasid Society 2nd 4th 8th 10th centuries New York Routledge ISBN 978 0 415 06132 2 Hajar Rachel 2013 The Air of History Part III The Golden Age in Arab Islamic Medicine An Introduction Heart Views 14 1 43 46 doi 10 4103 1995 705X 107125 ISSN 1995 705X PMC 3621228 PMID 23580929 Hill Donald R 1991 Mechanical Engineering in the Medieval Near East Scientific American 264 5 100 105 doi 10 1038 scientificamerican0591 100 ISSN 0036 8733 JSTOR 24936907 Hill Ronald R 2008 Banu Musa In Selin Helaine ed Encyclopaedia Of The History Of Science Technology And Medicine Non Western Cultures Vol 1 Brill Publishers Kennedy Edward Stewart 1956 A Survey of Islamic Astronomical Tables Transactions of the American Philosophical Society New Series Philadelphia Pennsylvania American Philosophical Society 46 2 123 177 doi 10 2307 1005726 hdl 2027 mdp 39076006359272 ISSN 0065 9746 JSTOR 1005726 al Khalili Jim 2011 The House of Wisdom How Arabic Science Saved Ancient Knowledge and Gave us the Renaissance New York Penguin Press ISBN 978 15942 0 279 7 Long Jason Murphy Jim Carnegie Dale Kapur Ajay 2017 Loudspeakers Optional A history of non loudspeaker based electroacoustic music Organised Sound 22 2 195 205 doi 10 1017 S1355771817000103 S2CID 143427257 Masood Ehsan 2009 Science amp Islam A History London Icon Books ISBN 978 18483 1 081 0 Meri Josef W ed 2005 Medieval Islamic Civilization An Encyclopedia Taylor amp Francis ISBN 978 11354 5 596 5 Palmeri JoAnn 2007 Wabkanawi Shams al Munajjim Shams al Din Muḥammad ibn ҁAli Khwaja al Wabkanawi Wabkanawi In Hockey Thomas et al eds The Biographical Encyclopedia of Astronomers Springer Publishers pp 1129 1130 doi 10 1007 978 0 387 30400 7 1433 ISBN 978 0 387 31022 0 Pingree David 1988 Banu Musa Encyclopaedia Iranica Rashed Roshdi 2014 Classical Mathematics from Al Khwarizmi to Descartes Translated by Shank Michael H New York Routledge ISBN 978 13176 2 239 0 Further reading editChaarani Mona Sanjakdar 24 June 2021 The Automatic Mechanical Hydraulic Organ of the Banu Musa ibn Shakir Muslim Heritage Foundation for Science Technology and Civilisation UK FSTCUK Retrieved 21 March 2023 al Hassini Salam T S ed 2012 1001 Inventions The Enduring Legacy of Muslim Civilization 3rd ed Washington DC National Geographic Society ISBN 978 1 4262 0934 5 via Internet Archive Rashed Roshdi ed 2009 Encyclopedia of the History of Arabic Science Vol 2 London New York Routledge ISBN 978 0 203 40360 0 Rashed Roshdi 2012 El Bizri Nader ed Founding Figures and Commentators in Arabic Mathematics A History of Arabic Sciences and Mathematics Vol 1 Abingdon UK New York Routledge ISBN 978 11366 2 000 3 Digitized manuscripts and translations edit Manuscript facsimile of the Kitab al Daraj held in the Princeton University Library Islamic Manuscripts Garrett no 501H The Book of Ingenious Devices A manuscript facsimile held in the Vatican Library Manuscript Vaticani Arabi 317 a copy of which was made by the philosopher al Afrit A manuscript facsimile held at the Berlin State Library Ms or quart 739 A manuscript facsimile held at the University of Erfurt Ms orient A 1349 A manuscript facsimile of Kitab al mutawassiṭat kept at Columbia University New York via the Internet Archive The treatise Kitab maʻrifat masaḥat al ashkal al basiṭah wa al kuriyah is located from pp 253 265 f 116 to 122 Translations edit Hill Donald R ed 1979 9th century The Book of Ingenious Devices Dortrecht Netherlands Boston London D Reidel ISBN 978 90277 0 833 5 PDF version Muḥammad ibn MusaIbn Shakir Gerard of Cremona Curtze M 1885 before 873 Der liber trium fratrum de geometria Nova acta der KSL Leop Carol Deutschen akademie der naturforscherbd 49 Nr 2 in Latin and German Halle Druck von E Blochmann amp sohn via Hathi Trust Digital Library Rosen Frederic ed 1831 The Algebra of Mohammed ben Musa Translated by Rosen Frederic London John Murray OCLC 1039506129 External links edit nbsp Media related to Banu Musa at Wikimedia Commons A list of works by the Banu Musa from the Islamic Scientific Manuscripts Initiative ISMI website Pioneers of Engineering Al Jazari and the Banu Musa TV episode from Al Jazeera 25 minutes Meier Allison 12 April 2016 The 9th Century Islamic Instrument Which Plays by Itself Hyperallergic Retrieved 21 March 2023 Retrieved from https en wikipedia org w index php title Banu Musa brothers amp oldid 1207738137, wikipedia, wiki, book, books, library,

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