Risālaẗ fī al-burhān ʿalỳ annahu lā yumkinu an yakūna ḍilʿā ʿadadayn murabbaʿayn yakūnu majmūʿuhumā murabbaʿan fardayn bal yakūnān zawjayn aw yakūnu aḥaduhumā zawjan wa-al-āḫar fardan

TEXT

Risālah fī al-burhān ʿalá annahu lā yumkinu an yakūna ḍilʿā ʿadadayn murabbaʿayn yakūnu majmūʿuhumā murabbaʿan fardayn bal yakūnān zawjayn aw yakūnu aḥaduhumā zawjan wa-al-ākhar fardan

Title (arabic)	رسالة في البرهان على أنّه لا يمكن ان يكون ضلعا عددين مربّعين يكون مجموعهما مربّعاً فردين بل يكونان زوجين أو يكون أحدهما زوجاً والآخر فرداً
Title (translit)	Risālah fī al-burhān ʿalá annahu lā yumkinu an yakūna ḍilʿā ʿadadayn murabbaʿayn yakūnu majmūʿuhumā murabbaʿan fardayn bal yakūnān zawjayn aw yakūnu aḥaduhumā zawjan wa-al-ākhar fardan
Alias	Risālaẗ fī al-burhān ʿalỳ annahu lā yumkinu an yakūna ḍilʿā ʿadadayn murabbaʿayn yakūnu majmūʿuhumā murabbaʿan fardayn bal yakūnān zawjayn aw yakūnu aḥaduhumā zawjan wa-al-āḫar fardan
Author	Abū Jaʿfar Muḥammad ibn al-Ḥusayn al-Khāzin al-Khurāsānī
Language	Arabic
Subject	Mathematics: General
Text type	First-order prose composition (or compilation) [matn]
Dedicated to	Abū Muḥammad ʿAbd Allāh ibn ʿAlī al-Ḥāsib
ismi_id	116563

Manuscript Witnesses

1 witnesses:

Risālah fī al-burhān ʿalá annahu lā yumkinu an yakūna ḍilʿā ʿadadayn murabbaʿayn yakūnu majmūʿuhumā murabbaʿan fardayn bal yakūnān zawjayn aw yakūnu aḥaduhumā zawjan wa-al-ākhar fardan_Paris_Bibliothèque nationale (Paris)_Manuscrits-Orient Arabe_2457

Literature References

Rozenfeld, Boris, and Ekmeleddin İhsanoğlu. 2003. Mathematicians, Astronomers and Other Scholars of Islamic Civilisation and Their Works (7th-19th c.). Istanbul: Research Centre for Islamic History, Art, and Culture.

P. 81 (no. 194), M3.

Rozenfeld, Boris. 1981. “The Equivalent of Complex Numbers in the Medieval East”. In Actes Du XVie Congrès International D’histoire Des Sciences, 65. Bukharest.

Anbouba, Adel. 1979. “Un Traité d’Abu Ja’far (al-Khazin) Sur Les Triangles Rectangles numériques”. Journal of History of Arabic Science 3 (1): 134-78.

Pp. 157-77.

Rashed, Roshdi. 1979. “L’analyse Diophantienne Au X’ siècle: L’exemple d’al-Khazin”. Revue d’Histoire Des Sciences 32 (3): 193-222.

Saidan, Ahmad. 1978. “Hawla Khawass Al-a’dad Li-Abi Ja’far Muhammad Ibn Al-Husayn: Nazariyya Al-Muthallathat Al-’adadiyya Li-Abi Ja’far Al-Khazin”. Dirasat Majalla ’ilmiyya Tasdir ’an Al-Jami’a Al-Urduniyya 5 (2): 7-49.