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Manuscript/Mixed Material al-Nuzhat al-ḥisāb li-Ibn al-Haʼīm النزهة الحساب لابن هائم

About this Item


  • al-Nuzhat al-ḥisāb li-Ibn al-Haʼīm

Other Title

  • النزهة الحساب لابن هائم


  • According to Carl Brockelmann's Geschichte der Arabischen Litteratur (Supplement II, p. 154), the text is an abridgement of the author's book al-Murshidah fī ṣināʻat al-ghubār.
  • This manuscript is an 18th-century copy of Nuzhat al-ḥisāb (The excursion of calculus) by mathematician Aḥmad ibn Muḥammad al-Farāḍī ibn al-Hā'im (around 1356-1412). The copyist of this brief but densely written codex provided his name and the date of the completion of his work in the colophon: at the bottom of the last page of the manuscript is stated that Aḥmad ibn Qāsim ibn Aḥmad ibn Muḥammad al-Hanbalī finished this copy in the year 1185 AH (1772). The Nuzhat al-ḥisāb is an abridgment by Ibn al-Hā'im of his own mathematical treatise entitled Murshid al-ṭālib ilā asnā' al-maṭālib (A student guide to the summit of learning). The main aim of this treatise is didactic. Numbers and arithmetical operations are presented in a systematic and very clear way. The author introduces his work with some preliminary notes on the different kind of numbers, their names and shapes. The first part of the manuscript focuses on the mathematics of integer numbers. The four usual basic operations--addition, subtraction, multiplication, and division--and a fifth, extraction of roots, are explained in detail through a number of practical examples. The second part deals with fractions and their properties. Using the same structure as in the first part, the author explains how to perform the five basic operations in the case of fractional numbers. The copyist embellished the manuscript with rubricated headings for the different sections, and used red ink to write figures, mathematical operations, and significant words in the text. World Digital Library.


  • Ibn al-Hāʼim, Aḥmad ibn Muḥammad, -1412
  • Ḥanbalī, Aḥmad ibn Qāsim ibn Aḥmad ibn Muḥammad, scribe
  • Manṣūrī, Maḥmūd al-Imām, former owner
  • Mansuri Collection (Library of Congress)

Created / Published

  • 6 Dhū al-Ḥijjah 1185 [11 March 1772 ]


  • -  Ibn al-Hāʼim, Aḥmad ibn Muḥammad,---1412.--Murshidah fī ṣināʻat al-ghubār
  • -  Arithmetic--Early works to 1900
  • -  Manuscripts, Arabic--Washington (D.C.)
  • -  Mathematics, Arab--Early works to 1800


  • -  An endowment by Aḥmad ibn Muḥammad ibn Manṣūr [Badīrī?] is recorded the frontispiece.
  • -  Binding: modern cardboard covered with cloth and leather spine
  • -  Colophon states that the manuscript was copied by Aḥmad ibn Qāsim ibn Aḥmad ibn Muḥammad al-Ḥanbalī and was completed on 6 Dhū al-Ḥijjah 1185.
  • -  Fol. 1a-12a.
  • -  Library of Congress. Arabic manuscripts, 5-713.
  • -  Library of Congress. Mansuri Collection, 5-713.
  • -  Ms.
  • -  Paper: yellowed cream; some of the leaves repaired; some have dark stains at the edges. Text framed by single red line. Text principally in black, with a few rubricated words; few marginal notes in black ink. Calculations in red ink; catchwords on versos, some trimmed off.
  • -  Text is in Naskhī script; 22-28 lines in written area 16 x 10 cm.
  • -  Text is partially vocalized in the first paragraph only.
  • -  Title from cover.
  • -  Also available in digital form on the Library of Congress website.
  • -  Arabic.
  • -  Purchase of Mahmud al-Mansuri collection,1945.
  • -  Explicit: فهذا القدر المقتصر عليه في هذا المختصر مما لا يسع الطالب المحصل جهله ومن اراد الزيادة على ذلك فيكفيه اصله ومن رام التبحر في التصرف في استخراج المجهول بالاعداد المتناسبة فعليه بالمعرفة التي فاقت كتب هذا الفن قاطبة ولله الحمد اولا واخرا وظاهرا وباطنا ...
  • -  Incipit: أما بعد حمد الله تعالى الواحد بكل وجه واعتبار والصلوة والتسليم على نبيه محمد خير من اختار وعلى أله وصحبه وأزواجه البررة الأطهار، فان كتابي الموسوم بالمرشدة فى صناعة الغبار لما تلقى بالقبول وخص بالانتشار كلف به صديق لي يهوى الاختصار فألتمس منى أن ألخصه مبالغا فى الاختصار ...


  • 12 [i.e. 23] leaves (ca. 28 lines), bound : paper ; 20 x 15 cm.

Call Number/Physical Location

  • QA101 .I255 1772

Digital Id

Library of Congress Control Number

  • 2010471128

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:

Ibn Al-HāʼIm, Aḥmad Ibn Muḥammad, -1412, Aḥmad Ibn Qāsim Ibn Aḥmad Ibn Muḥammad Ḥanbalī, Maḥmūd Al-Imām Manṣūrī, and Mansuri Collection. al-Nuzhat al-ḥisāb li-Ibn al-Haʼīm. [6 Dhū al-Ḥijjah 11 March 1772, 1772] Manuscript/Mixed Material.

APA citation style:

Ibn Al-HāʼIm, A. I. M., Ḥanbalī, A. I. Q. I. A. I. M., Manṣūrī, M. A. & Mansuri Collection. (1772) al-Nuzhat al-ḥisāb li-Ibn al-Haʼīm. [6 Dhū al-Ḥijjah 11 March 1772] [Manuscript/Mixed Material] Retrieved from the Library of Congress,

MLA citation style:

Ibn Al-HāʼIm, Aḥmad Ibn Muḥammad, -1412, et al. al-Nuzhat al-ḥisāb li-Ibn al-Haʼīm. [6 Dhū al-Ḥijjah 11 March 1772, 1772] Manuscript/Mixed Material. Retrieved from the Library of Congress, <>.