Top of page

Manuscript/Mixed Material Sharḥ al-Khulāṣah fī al-ḥisāb / / شرح الخلاصة في الحساب /

About this Item


  • Sharḥ al-Khulāṣah fī al-ḥisāb

Other Title

  • /
  • شرح الخلاصة في الحساب /


  • Text is a commentary on al-Khulaṣah fī al-ḥisāb by Bahāʼ al-Dīn Muḥammad ibn Ḥusayn al-ʻĀmilī. Two poems attributed to ʻAmr ibn al-ʻĀṣ on title page in a different hand. Last page includes a note in a third hand on a different topic.
  • The present manuscript preserves an extensive commentary on the 17th-century mathematical treatise Al-Ḫulāṣa fī al-Ḥisāb (The abridgment on calculus), which was composed by Bahā' al-Dīn Al-'Amilī (1547-1621), one of the leading intellectuals of 17th century Safavid Persia (present-day Iran). Born in the city of Baalbek (present-day Lebanon), Al-'Amilī was an important figure in many different fields of knowledge, including theology, mysticism, poetry, astronomy, mathematics, and architecture. His main contribution to mathematics, the Al-Ḫulāṣa fī al-Ḥisāb, was well known and is the subject of the commentary by Ramaḍān ibn Abī Hurayrah Al-Jazarī (flourished 1665-81) preserved in this manuscript. Al-Jazarī's work, while following the general structure of the Al-Ḫulāṣa, expands considerably on its arguments and provides numerous examples of the described operations. The present copy of the Šarḥ al-Ḫulāṣa fī al-Ḥisāb clearly shows the high level of internal organization of the commentary. After an extensive introduction with a dedication to the Safavid ruling class and some remarks on grammatical and lexicographical issues, the treatise is divided into ten chapters, which in their turn are opened by one or more introductory notes and are made up of ten or more paragraphs each. The manuscript is embellished with mathematical tables and rubricated headings of the divisions of the treatise. A later hand copied a Persian poem on the opening page and added marginal notes as an explanation to Al-Jazarī's commentary. World Digital Library.


  • Jazarī, Ramaḍān ibn Abī Hurayrah, active 1665-1681
  • Abāyī, ʻAbd Allāh ibn ʻĪsá ibn Ismāʻīl, active 1809, former owner
  • milī, Bahāʼ al-Dīn Muḥammad ibn Ḥusayn, 1547-1621
  • Amr ibn al-ʻĀṣ
  • Baytūshī, ʻAbd Allāh ibn Muḥammad, 1751 or 1752-1826 or 1827, former owner
  • Manṣūrī, Maḥmūd al-Imām, former owner
  • Mansuri Collection (Library of Congress)

Created / Published

  • Jumadá al-awwal 1076 H [November 1665].


  • -  milī, Bahāʼ al-Dīn Muḥammad ibn Ḥusayn,--1547-1621.--Khulāṣat al-ḥisāb
  • -  Manuscripts, Arabic--Washington (D.C.)
  • -  Mathematics, Arab--Early works to 1800


  • -  Binding: modern cardboard covered with cloth; leather spine.
  • -  Fol. 1a-62b.
  • -  In Muʻjam al-Muʼallifin (IV:173), ʻUmar Riḍā Kaḥḥālah lists the author's name as Ramaḍān ibn Abī Hurayrah al-Jazarī al-Qādirī. Carl Brockelmann, Geschichte der Arabischen Litteratur (S II, p. 596) lists author as Ramaḍān ibn Hurayrah al-Jazāʼirī al-Qādirī.
  • -  Library of Congress. Mansuri Collection, 5-720.
  • -  Ms.
  • -  Names of former owners on title page: ʻAbd Allah ibn Muḥammad al-ʼAlāʼī al-Baytūshī from Basra, dated 1189 H [1775]; and ʻAbd Allah ibn ʻĪsá ibn Ismāʻīl al-ʻAbāyī, dated 15 Dhū al-Qaʻdah 1224 H [22 December 1809].
  • -  Nastaʻliq script; 25 lines in written area, 15 x 9 cm.
  • -  Paper: mostly white, with some brown, with watermarks. Some leaves repaired; damage from humidity and termites. Black ink on title page, text is in black with a few rubrications. Text is particually underlined in either red or black. Some marginal notes; catchwords on rectos. Pages numbered consecutively.
  • -  Some tables and figures in margins of pp. 68-75.
  • -  Title from introduction, fol. 1b.
  • -  Transcribed by author, Jumadá al-awwal 1076 H [November 1665].
  • -  Also available in digital form on the Library of Congress website.
  • -  In Arabic; Persian poem on title page.
  • -  Purchase of Mahmud al-Mansuri collection, 1945.
  • -  Incipit: بسم الله الرحمن الرحيم و به نستعين أحمدك يا من أعداد نعمه لا تحصى وأشكرك يا من أحاد قسمه لا تستقصحمدا يتضاعف به ضروب ألائك، وشكرا تتزايد به صنوف نعمائك ... لما كانت الرسالة المسماة بخلاصة الحساب للبارع في أنحاء ما حوته على قاطبة عرفان هذا الباب بهاء الدين الحسيني عامله الله بما هو حري رسالة حاوية للأتم من الأصول وناظمة للأهم من الأبواب والفصول ....


  • 62 leaves (25 lines), bound : paper ; 21 x 15 cm.

Call Number/Physical Location

  • QA33.A483 J39 1665

Digital Id

Library of Congress Control Number

  • 2008401926

Online Format

  • pdf
  • image

Additional Metadata Formats

IIIF Presentation Manifest

Rights & Access

The Library of Congress is unaware of any copyright or other restrictions in the World Digital Library Collection. Absent any such restrictions, these materials are free to use and reuse. Researchers are encouraged to review the source information attached to each item. For information on contacting WDL partner organizations, see this archived list of partners

The Library asks that researchers approach the materials in this collection with respect for the culture and sensibilities of the people whose lives, ideas, and creativity are documented here.

Credit Line: [Original Source citation], World Digital Library

More about Copyright and other Restrictions

For additional information and contact information for many of the partner organizations, see this archived capture of the World Digital Library site from 2021.

For guidance about compiling full citations consult Citing Primary Sources.

Cite This Item

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

Chicago citation style:

Jazarī, Ramaḍān Ibn Abī Hurayrah, Active, ʻAbd Allāh Ibn ʻĪsá Ibn IsmāʻĪl Abāyī, Bahāʼ Al-Dīn Muḥammad Ibn Ḥusayn Milī, Amr Ibn Al-ʻĀṣ, ʻAbd Allāh Ibn Muḥammad Baytūshī, Maḥmūd Al-Imām Manṣūrī, and Mansuri Collection. Sharḥ al-Khulāṣah fī al-ḥisāb. [Jumadá al-awwal H November 1665, 1665] Manuscript/Mixed Material.

APA citation style:

Jazarī, R. I. A. H., Abāyī, ʻ. A. I. ʻ. I. I., Milī, B. A. M. I. Ḥ., Amr Ibn Al-ʻĀṣ, Baytūshī, ʻ. A. I. M., Manṣūrī, M. A. & Mansuri Collection. (1665) Sharḥ al-Khulāṣah fī al-ḥisāb. [Jumadá al-awwal H November 1665] [Manuscript/Mixed Material] Retrieved from the Library of Congress,

MLA citation style:

Jazarī, Ramaḍān Ibn Abī Hurayrah, Active, et al. Sharḥ al-Khulāṣah fī al-ḥisāb. [Jumadá al-awwal H November 1665, 1665] Manuscript/Mixed Material. Retrieved from the Library of Congress, <>.