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Or 6280, ff 142v-158v

Record Id:

040-003371653

Hierarchy Root Ancestor Record Id:

032-003371648

MDARK:

ark:/81055/vdc_100042093007.0x000001

LARK:

SLARK:

ark:/81055/vdc_100078046632.0x000001

Format:

ISAD(G)

Reference (shelfmark):

Or 6280, ff 142v-158v

Title:

Khulāṣat al-ḥisāb خلاصة الحساب

‘Āmilī, Bahā’ al-Dīn Muḥammad ibn Ḥusayn عاملي، بهاء الدين محمد بن حسين

Scope & Content:

Very popular Safavid textbook of arithmetic by Bahā’ al-Dīn Muḥammad ibn Ḥusayn al-‘Āmilī (بهاء الدين محمد بن حسين العاملي; d. 1621).

The treatise consists of an introduction (مقدمة), nine chapters (أبواب), and a conclusion (خاتمة). Each chapter subdivided into sections (فصول), in some cases preceded by one or more introduction (مقدمة). This copy is missing the author's preface, and begins directly with the introduction. The treatise contains numerous diagrams.

The copy was completed in 1114/1702-3 by Ibn Muḥammad Riḍá Muḥammad Amīn (ابن محمد رضى محمد أمين, see ff. 131v, lines 6-9; 142r, lines 18-19 and 158v, transcribed below).

Contents:

Introduction (مقدمة, f. 142v);
Chapter One: Calculation with Integers... (الباب الأول في حساب الصحاح..., ff. 142v-147r);
Chapter Two: Calculation with Fractions (الباب الثاني في حساب الكسور, ff. 147r-148v);
Chapter Three: Deriving Unknowns by Means of the Four Proportions (الباب الثالث في استخراج المجهولات بالأربعة المتناسبة, ff. 148v-149r);
Chapter Four: Deriving Unknowns by Means of Calculating the Two Errors (الباب الرابع في استخراج المجهولات بحساب الخطائين, ff. 149r-149v);
Chapter Five: Deriving Unknowns by Means of Operating with the Opposite (الباب الخامس في استخراج المجهولات بالعمل بالعكس, ff. 149v-150r);
Chapter Six: On Mensuration (الباب السادس في المساحة, ff. 150r-151v);
Chapter Seven: What Follows Mensuration, Such as the Levelling of Land for Portions of Waterways and Knowing of the Altitude of Heights, the Breadth of Rivers and the Depths of Wells (الباب السابع فيها يتبع المساحات من وزن الأرض لأجزاء القنوات ومعرفة ارتفاع المرتفعات وعروض الأنهار وأعماق الآبار, ff. 151v-152v);
Chapter Eight: Deriving Unknowns by Way of Algebra and Muqābalah (الباب الثامن في استخراج المجهولات بطريق الجبر والمقابلة, ff. 152v-155r);
Chapter Nine: The Noble Rules and Helpful Notes That are Obligatory and Indispensible for Accountants (الباب التاسع في قواعد شريفة وفوائد لطيفة لا بد للمحاسب منها ولا غناء عنها, ff. 155r-158r);
Conclusion (خاتمة, f. 158r-158v).

Begins (f. 142v, lines 2-4):

مقدمة الحساب علم يتعمل منه استخراج المجهولات العددية من المعلومات

مخصوصة وموضوعة العدد الحاصل في المادة كما قبل ومن ثم عد الحساب من الرياضي

وفيه كلام والعدد قبل كمية تطلق على الواحد وما تألف منه ...

Ends (f. 158v, lines 11-19):

... فاعرف قدرها

ولا ترخص مهرها وأمنعها عمن ليس أهلها ولا تزفه إلا إلى حريص على أن يكون

بعلها ولا تبذلها لكثيف الطبع من الطلاب لئلا تكون معلقًا للدرر في على

أعناق الكلاب فإن كثيرًا من مطالبها حري بالصيانة والكتمان حقيق

بالاستتار عن أكثر أهل هذا الزمان

واحفظ وصيتي إليك

والله حفيظ

عليك

تمت

Colophon (f. 158v, to either side of explicit):

حرره العـ[ـبد مـ]ـحمد

أمين

في سنة 1114

Collection Area:

Oriental Manuscripts

Project / Collection:

Qatar Foundation Partnership Programme

Hierarchy Record Ids:

032-003371648
040-003371653

Is part of:

Or 6280 : Three texts on mathematics and astronomy

Or 6280, ff 142v-158v : Khulāṣat al-ḥisāb خلاصة الحساب‘Āmilī, Bahā’ al-Dīn Muḥammad ibn Ḥusayn عاملي،…

Hierarchy:

032-003371648[0003]/040-003371653

Container:

View / search within Archive / Collection: Or 6280

Record Type (Level):

File

Extent:

Ff. 142v-158v

Digitised Content:

https://www.qdl.qa/en/archive/81055/vdc_100078046632.0x000001

Thumbnail:

Languages:

Arabic

Scripts:

Arabic

Start Date:

1702

End Date:

1703

Date Range:

1114

Calendar:

Hijri qamari

Era:

Access:

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User Conditions:

Finding Aids:

Ellis, A.G. and Edward Edwards, A Descriptive List of the Arabic Manuscripts Acquired by the Trustees of the British Museum since 1894 (London: British Museum, 1912), p. 40

Publications:

Editions:

‘Āmilī, Bahā’ al-Dīn Muḥammad ibn Ḥusayn, Khulāṣat al-ḥisāb (Tabriz?: Maṭba‘ Muḥammad Zuyūr, 1262)
‘Āmilī, Bahā’ al-Dīn Muḥammad ibn Ḥusayn, Khulāṣat al-ḥisāb: al-khulāṣat fī ‘ilm al-ḥisāb wa al-jabr wa al-muqābilah; nuskhah-i taṣḥīh shudah hamrāh bā matn-i chāp-i sangī (Qum: Majma‘-i Z̲akhā’ir-i Islāmī, 2011)
‘Āmilī, Bahā’ al-Dīn Muḥammad ibn Ḥusayn, Khulāsat al-ḥisāb, ma‘a taḥshīyah jadīdah kāfīyah li-ḥall al-ṣi‘āb wa-ḍamīmah lā’iqah bi-taḥ‘ṣīl al-nāzil wa-min al-judhūr wa-al-ki‘āb (Diyūband: Kutubʹkhānah-i Raḥīmīyah, 1974)
‘Āmilī, Bahā’ al-Dīn Muḥammad ibn Ḥusayn, Rīyāḍīyāt (Mathematical Works), ed. by G. Shawky (Aleppo: Institute for the History of Arabic Science, University of Aleppo, 1976) pp. 31-163

Edition and German translation:

‘Āmilī, Bahā’ al-Dīn Muḥammad ibn Ḥusayn, Essenz der rechenkunst von Mohammed Beha-eddin ben Alhossain aus Amul, arabisch und deutsch, ed. and trans. by G. H. F. Nesselmann (Berlin, 1843)

Study:

Hashemipour, Behnaz, '‘Āmilī: Bahāʾ al-Dīn Muḥammad ibn Ḥusayn al-‘Āmilī', in The Biographical Encyclopedia of Astronomers, ed. by Thomas Hockey et al. (New York: Springer, 2007) pp. 42-43

Material Type:

Archives and Manuscripts

Legal Status:

Not Public Record(s)

Subjects:

Arithmetic -- Early works to 1900