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al-Jayyani's The book of unknown arcs of a sphere, the first treatise on spherical trigonometry. The work, which is published together with a
Spanish translation and a commentary in , contains formulae for right-handed triangles, the general law of sines, and the solution of a spherical triangle by
258:
points out that while it was possible in pre-Islamic mathematics to compute the magnitudes of a spherical figure, in principle, by use of the table of chords and
Menelaus' theorem, the application of the theorem to spherical problems was very difficult in practice. Al-Jayyānī's work on spherical
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There is strong consensus in attributing the authorship of a manuscript about the duration of twilight to him. The short treatise
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Sabra, A.I. (1967). "The
Authorship of the Liber de crepusculis, an Eleventh-Century Work on Atmospheric Refraction".
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242:", although spherical trigonometry in its ancient Hellenistic form was dealt with by earlier mathematicians such as
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as numbers" and "method of solving a spherical triangle when all sides are unknown" are likely to have influenced
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Smith, A. Mark (1992). "The Latin
Version of lbn Mu c ādh's Treatise "On Twilight and the Rising of Clouds"".
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222:(farāʾiḍī). It is unknown whether they are the same person. There is some evidence that he lived in
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Allacen arabis uetustissimi liber de crepusculis, Gerardo
Cremonensi interprete
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means of the polar triangle. Proofs are sometimes only given as sketches.
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Little is known about his life. Confusion exists over the identity of
302:) was made in 1542, by the Portuguese mathematician and cosmographer
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493:, National Council of Teachers of Mathematics, Washington, D.C.: 337
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180:(in present-day Spain). Al-Jayyānī wrote important commentaries on
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The
Compendious Book on Calculation by Completion and Balancing
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598:"Ibn Muʿādh: Abū ʿAbd Allāh Muḥammad ibn Muʿādh al-Jayyānī"
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571:. Vol. II. Lisboa: Fundação Calouste Gulbenkian.
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Kennedy, E. S. (1969), "The
History of Trigonometry",
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30:"Ibn Mu'adh" redirects here. For other uses, see
1592:Mathematicians who worked on Islamic inheritance
651:"Al-Jayyānī, Abū'Abd Allāh Muḥammad Ibn Mu'ādh"
683:
630:"Abu Abd Allah Muhammad ibn Muadh Al-Jayyani"
433:"Abu Abd Allah Muhammad ibn Muadh Al-Jayyani"
238:, which is considered "the first treatise on
135:Abū ʿAbd Allāh Muḥammad ibn Muʿādh al-Jayyānī
8:
1587:Scientists who worked on qibla determination
602:The Biographical Encyclopedia of Astronomers
656:Complete Dictionary of Scientific Biography
711:
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36:
1424:Constantinople observatory of Taqi ad-Din
699:Mathematics in the medieval Islamic world
190:and he wrote the first known treatise on
600:. In Thomas Hockey; et al. (eds.).
27:Andalusian philosopher and mathematician
635:MacTutor History of Mathematics Archive
471:MacTutor History of Mathematics Archive
438:MacTutor History of Mathematics Archive
332:
1345:Encyclopedia of the Brethren of Purity
604:. New York: Springer. pp. 562–3.
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7:
385:Dold-Samplonius & Hermelink 1970
316:List of Arab scientists and scholars
259:trigonometry "contains formulae for
236:The book of unknown arcs of a sphere
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142:
25:
502:The Indian and Persian background
143:أبو عبد الله محمد بن معاذ الجياني
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1572:Mathematicians from al-Andalus
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399:Arabic Sciences and Philosophy
290:was incorrectly attributed to
206:of the same name mentioned by
1:
1317:Principles of Hindu Reckoning
513:History of Islamic Philosophy
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1507:Hindu–Arabic numeral system
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511:, Oliver Leaman (1996),
476:University of St Andrews
466:"Menelaus of Alexandria"
443:University of St Andrews
267:, and the solution of a
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1526:Trigonometric functions
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979:Abu Mansur al-Baghdadi
722:'Abd al-Hamīd ibn Turk
596:Calvo, Emilia (2007).
261:right-handed triangles
244:Menelaus of Alexandria
240:spherical trigonometry
192:spherical trigonometry
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1269:Ibn Hamza al-Maghribi
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1060:Sharaf al-Din al-Tusi
567:Nunes, Pedro (2003).
246:, whose treatise the
18:Ibn Muʿādh al-Jayyānī
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1434:Maragheh observatory
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1019:Muhammad al-Baghdadi
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462:Robertson, Edmund F.
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339:Latin forms include
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624:O'Connor, John J.;
509:Seyyed Hossein Nasr
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460:O'Connor, John J.;
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81:Academic background
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762:Banū Mūsā brothers
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234:Al-Jayyānī wrote
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1359:Tabula Rogeriana
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247:
235:
233:
203:
201:
185:
134:
133:
94:al-Khwarizmi
1562:1079 deaths
1310:De Gradibus
1264:Taqi ad-Din
1254:Al-Birjandi
1228:al-Qalaṣādī
1009:Al-Isfizari
974:Ibn al-Samh
903:Al-Isfahani
883:al-Uqlidisi
853:al-Khojandi
818:Abu al-Wafa
757:al-Dinawari
715:9th century
618:PDF version
304:Pedro Nunes
288:On twilight
216:Philologist
119:Mathematics
1557:989 births
1551:Categories
1474:Influenced
1448:Influences
1218:Ali Qushji
1177:Al-Khalili
1045:Al-Khazini
1040:Al-Kharaqī
999:al-Zarqālī
989:al-Jayyānī
933:al-Majriti
918:Abu al-Jud
888:Al-Battani
863:Al-Saghani
858:Al-Nayrizi
797:al-Marwazi
732:al-Jawharī
590:References
373:Calvo 2007
357:Ibn Muʿādh
204:al-Jayyānī
178:Al-Andalus
159:Al-Andalus
151:Al-Andalus
86:Influences
70:Al-Andalus
41:Al-Jayyānī
1223:al-Wafa'i
1213:Ulugh Beg
1116:al-Abhari
1101:Ibn Adlan
1091:Ibn Munim
1055:al-Hassar
994:al-Nasawī
969:Al-Biruni
938:al-Jabali
928:Al-Karaji
878:Ibn Yunus
833:Abu Kamil
828:Al-Qabisi
823:al-Khazin
752:Al-Mahani
517:Routledge
405:(1): 83.
250:included
161:) was an
123:Astronomy
1376:Concepts
1208:al-Kāshī
1182:al-Umawi
984:Avicenna
923:Al-Sijzi
873:Ibn Sahl
742:Al-Kindi
349:Abhomadh
341:Abenmoat
310:See also
248:Spherics
212:Qur'anic
187:Elements
153:– 1079,
1500:Related
1429:Madrasa
1397:Centers
1203:al-Rūmī
1106:al-Urdi
1004:ibn Hud
959:Alhazen
913:al-Qūhī
353:Abumaad
345:Abumadh
147:Cordova
145:; 989,
608:
575:
523:
277:ratios
182:Euclid
172:, and
139:Arabic
90:Euclid
1294:works
569:Obras
506:, in
351:, or
327:Notes
230:Works
224:Cairo
176:from
606:ISBN
573:ISBN
542:Isis
521:ISBN
198:Life
174:Qadi
163:Arab
155:Jaén
66:Jaén
62:1079
59:Died
53:Iraq
47:Born
1366:Zij
550:doi
497:cf.
407:doi
359:or
184:'s
105:Era
50:989
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