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Manuscript/Mixed Material Sharḥ al-Lumaʻ fī ʻilm al-ḥisāb شرح اللمع في علم الحسالب

About this Item


  • Sharḥ al-Lumaʻ fī ʻilm al-ḥisāb

Other Title

  • شرح اللمع في علم الحسالب


  • The system of fara'iḍ (shares) for inheritances is considered to be one of the most advanced innovations introduced by Muslim conquerors in Middle Eastern and North African societies. The exact calculation of shares of inheritance is a complex chapter in Islamic law, and it is not surprising that Muslim intellectuals and scientists developed a system of mathematical tools in order to master "the science of the shares" ('ilm al-fara'iḍ). An important contribution to this field can be found in the work of Aḥmad ibn Muḥammad Ibn al-Hāʼim, who dealt with the mathematical implications of the reckoning of inheritance shares in his late-14th-century treatise Al-Luma' al-yasīra fī 'ilm al-ḥisāb (The little sparkles on the science of calculation). The present manuscript testifies to the relevance of this treatise over the centuries, as it preserves a 16th-century commentary on Ibn al-Hāʼim's work by the Egyptian mathematician known as Sibṭ al-Māridīnī, who was active as a muwaqqit (timekeeper) at the Al-Azhar Mosque in Cairo. The subject of Ibn al-Hāʼim's work, and hence of the present commentary, is not limited to problems of inheritance. Also included are extensive passages on numerals and a thorough discussion of the operations of multiplication and division. World Digital Library.
  • The text is a commentary on al-Lumʻah al-yasīrah fī ʻilm al-ḥisāb by Aḥmad ibn Muḥammad Ibn al-Hāʼim.


  • Sibṭ al-Māridīnī, Badr al-Dīn Muḥammad ibn Muḥammad, 1423-
  • Khāsikī, ʻAlī ibn Muḥammad ibn Aḥmad, scribe
  • Manṣūrī, Maḥmūd al-Imām, former owner
  • Ibn al-Hāʼim, Aḥmad ibn Muḥammad, -1412
  • Mansuri Collection (Library of Congress)

Created / Published

  • 20 Dhū al-Ḥijjah 1174 H [23 July 1761].


  • -  Ibn al-Hāʼim, Aḥmad ibn Muḥammad,---1412.--Lumaʻ al-yasīrah fī ʻilm al-ḥisāb
  • -  Arithmetic--Early works to 1900
  • -  Manuscripts, Arabic--Washington (D.C.)
  • -  Mathematics, Arab--Early works to 1800


  • -  Abu Tig, Egypt.
  • -  Binding: removed from binding.
  • -  Fol. 1a-22b.
  • -  Library of Congress. Mansuri Collection, 5-709.
  • -  Ms.
  • -  Naskhī script; 25 lines in written area, 17 x 11 cm.
  • -  Paper: yellowed cream, with watermarks. Last leaf repaired, damage from humidity and termites on most pages. Black ink on title page, text of al-Lumaʻ in red, commentary in black. Some marginal notes; title page has stars and Arabic letters written over earlier text. Catchwords on rectos.
  • -  Title written in a later hand on fol. 1a.
  • -  Transcribed by ʻAlī ibn Muḥammad ibn Aḥmad al-Khasikī, who worked from the author's copy, (dated 893 H [1487]). He completed this manuscript in 20 Dhū al-Ḥijjah 1174 H [23 July 1761] (colophon, fol. 22a).
  • -  Fihris al-makhṭūṭāt al-ʻArabīyah fi Maktabat al-Kūnghris; 42.
  • -  Also available in digital form on the Library of Congress website.
  • -  Arabic.
  • -  Purchase of Mahmud al-Mansuri collection, 1945.
  • -  Incipit: الحمد لله حمدا يليق بجلاله والصلاة والسلام على محمد وصحبه وأله ... هذا تعليق مختصر جعلته توضيحا على المقدمة المسماة باللمع فى علم الحساب تأليف الشيخ الإمام العالم العلامة جامع أشتات الفضايل ومحي علوم الأوائل شهاب الدين أحمد بن الهايم.


  • 22 leaves (25 lines), bound : paper ; 22 x 16 cm.

Call Number/Physical Location

  • QA101 .I2437 1761

Digital Id

Library of Congress Control Number

  • 2008401925

Online Format

  • pdf
  • image

Additional Metadata Formats

IIIF Presentation Manifest

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Cite This Item

Citations are generated automatically from bibliographic data as a convenience, and may not be complete or accurate.

Chicago citation style:

Sibṭ Al-Māridīnī, Badr Al-Dīn Muḥammad Ibn Muḥammad, ʻAlī Ibn Muḥammad Ibn Aḥmad Khāsikī, Maḥmūd Al-Imām Manṣūrī, Aḥmad Ibn Muḥammad Ibn Al-HāʼIm, and Mansuri Collection. Sharḥ al-Lumaʻ fī ʻilm al-ḥisāb. [20 Dhū al-Ḥijjah H 23 July 1761, 1761] Manuscript/Mixed Material.

APA citation style:

Sibṭ Al-Māridīnī, B. A. M. I. M., Khāsikī, ʻ. I. M. I. A., Manṣūrī, M. A., Ibn Al-HāʼIm, A. I. M. & Mansuri Collection. (1761) Sharḥ al-Lumaʻ fī ʻilm al-ḥisāb. [20 Dhū al-Ḥijjah H 23 July 1761] [Manuscript/Mixed Material] Retrieved from the Library of Congress,

MLA citation style:

Sibṭ Al-Māridīnī, Badr Al-Dīn Muḥammad Ibn Muḥammad, et al. Sharḥ al-Lumaʻ fī ʻilm al-ḥisāb. [20 Dhū al-Ḥijjah H 23 July 1761, 1761] Manuscript/Mixed Material. Retrieved from the Library of Congress, <>.