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Add MS 7470
- Record Id:
- 032-003366618
- Hierarchy Root Ancestor Record Id:
- 032-003366618
- MDARK:
- ark:/81055/vdc_100040164536.0x000001
- LARK:
- ark:/81055/vdc_100066013098.0x000002
- SLARK:
- Format:
- ISAD(G)
- Reference (shelfmark):
- Add MS 7470
- Title:
-
Miftāḥ al-ḥisāb مفتاح الحساب
Kāshī, Jamshīd ibn Masʿūd كاشي، جمشيد بن مسعود
- Scope & Content:
-
Compendium of mathematics by Ghiyāth al-Dīn Jamshīd ibn Masʿūd ibn Maḥmūd al-Kāshī (غياث الدين جمشيد بن مسعود بن محمود الكاشي, d. 1429 or 1436) or al-Kāshānī (الكاشاني, see f. 3v, line 3). The text is known by both the short title Key to Calculation (مفتاح الحساب, see ff. 2r, line 8 and 3v, line 18) and the long title The Calculators' Key to Arithmetic (مفتاح الحسّاب في علم الحساب).
The work is divided into an introduction (مقدمة) and five treatises (مقالات) each subdivided into chapters (أبواب). In this copy the text begins on folio 3v, but a longer version of the introduction is found on folios 1v-2v, which includes the dedication to the sultan Ulugh Beg (ألغ بك, d. 1449, see f. 2r, lines 4-5) and a list of the divisions of the text and their titles (f. 2r-2v).
Contents:
- Introduction: Definition of Arithmetic, Explanation of the Subject and Definition of Number and its Parts (المقدمة في تعريف الحساب وبيان الموضوع وتعريف العدد وأقسامها, ff. 1v-2v and 3v);
- Chapter One: Calculation with Integers (المقالة الأولى في حساب الصحاح, ff. 4v-12r);
- Chapter Two: Calculation with Fractions (المقالة الثانية في حساب الكسور, ff. 12r-18v);
- Chapter Three: The Astronomers' Method of Calculation (المقالة الثالثة في طريقة حساب المنجمين, ff. 18v-28v);
- Chapter Four: Mensuration (المقالة الرابعة في المساحة, ff. 28v-61r);
- Chapter Five: Deriving Unknowns by Means of Algebra, Muqābalah, the Two Errors and Other Rules of Calculation (المقالة الخامسة في استخراج المجهولات بالجبر والمقابلة والخطائين وغيرها من القواعد الحسابية, ff. 61r-110r).
Contains numerous diagrams.
The copy was completed on 2 Shawwāl 997/14 August 1589 by ‘Abd al-Razzāq ibn ‘Abd Allāh ibn ‘Abd al-Razzāq ibn Jamshīd ibn Mas‘ūd ibn Jamshīd (عبد الرزاق بن عبد الله بن عبد الرزاق بن جمشيد بن مسعود بن جمشيد), who it is claimed in the colophon was the great-great-great-great-grandson of the author Jamshīd ibn Masʿūd ibn Maḥmūd al-Kāshī (see colophon, f. 110r, lines 2-11, transcribed below).
Begins (f. 1v, lines 1-6, folio mutilated at head [cf. f. 3v, lines 1-6]):
الحمد لله الذي توحد بإبد[اع] ...
الشافعين يوم التنا[د]...
الله تعالى إلى عفوانـ[ـه] ...
أحواله يقول لما مار[ست]...
في دقائقها وكشت غوامضها وحللت مشكلاتها واستنبطت كشيرًا من ...
والضوابط فيها واستخرجت ما صعب استخراجه على كثير من مباشريها كما استأنفت ...
Ends (ff. 109v, line 19-110r, line 2):
... وهذا آخر ما
أردنا إيراده في هذا الكتاب والحمد لله على
نعمائه والصلوة والسلام
والسلام (!) على خير خلقه محمد وآله الطاهرين وأصحابه
الهادين المهتدين ...
Colophon (f. 110r, lines 2-11):
... قد فرغت من انتساخ
هذه النسخة الشريفة ليوم الأثنين
من شهر شوال سنة 997
حرره الفقير إلى الله
عبد الرزاق بن عبد الله
بن عبد الرزاق
بن جمشيد بن
مسعود بن جمشيد
مصنف هذا الكتاب
الشريف
- Collection Area:
- Oriental Manuscripts
- Project / Collection:
- Additional Manuscripts
Qatar Foundation Partnership Programme - Hierarchy Tree:
- [{ "id" : "032-003366618", "parent" : "#", "text" : "Add MS 7470: Miftāḥ al-ḥisāb مفتاح الحسابKāshī, Jamshīd ibn Masʿūd كاشي، جمشيد بن مسعود" , "li_attr" : {"class": "orderable"} }]
- Hierarchy Record Ids:
- 032-003366618
- Is part of:
- not applicable
- Hierarchy:
- 032-003366618
- Container:
- not applicable
- Record Type (Level):
- Fonds
- Extent:
-
Codex; ff. iii+110+iii
- Digitised Content:
- https://www.qdl.qa/en/archive/81055/vdc_100040164536.0x000001
- Thumbnail:
-
- Languages:
- Arabic
- Scripts:
- Arabic
- Start Date:
- 1589
- End Date:
- 1589
- Date Range:
- 2 Shawwāl 997
- Calendar:
- Hijri qamari
- Era:
- AH
- Access:
-
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- User Conditions:
- Physical Characteristics:
-
Material: Eastern laid paper
Dimensions: 243 x 170 mm leaf [written: 180 x 115 mm (ff. 1v-2v), 175 x 115 (f. 8v-12v), 175 x 110 (ff. 3v-7v), 175 x 110 (ff. 13v-21r), and 175 x 110 (ff. 21v-110r)]
Foliation: British Museum foliation in pencil / India Office Library foliation stamped in black ink
Ruling: Misṭarah; average lines per page: 27 (ff. 1v-2v and f. 8v-12v), 27 (ff. 3v-7v), 27 (ff. 13v-21r), and 21 (ff.21v-110r); vertical spacing (lines per 10 cm): 16 (ff. 1v-2v and f. 8v-12v), 16 (ff. 3v-7v), 16 (ff. 13v-21r), and 12 (ff. 21v-110r)
Script: Naskh; the colophon is signed by ‘Abd al-Razzāq ibn ‘Abd Allāh ibn ‘Abd al-Razzāq ibn Jamshīd ibn Mas‘ūd ibn Jamshīd (عبد الرزاق بن عبد الله بن عبد الرزاق بن جمشيد بن مسعود بن جمشيد, f. 110r, lines 6-9); at least four hands appear to be distinguishable: (a) ff. 1v-2v and f. 8r, line 11-f. 13r, line 9; (b) ff. 3v-8r, line 10; (c) f. 13r, line 10-f. 21r; and (d) the hand of ‘Abd al-Razzāq ibn ‘Abd Allāh on ff. 21v-110r
Ink: Black ink, with rubricated headings and diagrams, numerals, overlinings in red; at least one use of blue ink (f. 20r)
Binding: British Museum half-leather binding
Condition: Tidemarks at head and tail; f. 1 mutilated and repaired at head and lower text block towards gutter with loss of text block; ff. 2-6 mutilated at upper edge corner and f. 3 also along edge and repaired without loss of text block
Marginalia: Many on ff. 4r-8r (by hand of scribe who begins on f. 8r); very few after f. 8r
Seal: f. 3r
- Custodial History:
-
Khiḍr Abū ‘Alī ‘Alī Khulqī (خضر أبو علي علي خلقي): his seal, dated 1174/1760-1 (f. 3r)
- Source of Acquisition:
-
Purchased from Mary Rich (née Mackintosh), widow of Claudius James Rich (1786-1821), Political Resident in Baghdad (1808-1821), 25 March 1825
- Finding Aids:
-
Cureton, William and Charles Rieu, Catalogus codicum manuscriptorum orientalium qui in Museo Britannico asservantur. Pars secunda, codices arabicos amplectens (London: The British Museum, 1846-71), Item 419, p. 199
- Publications:
-
Edition:
- Kāshī, Jamshīd ibn Masʿūd, Miftāḥ al-ḥisāb, ed. by Muḥammad Ḥamdī al-Ḥifnī Shaykh, Aḥmad Saʿīd Dimirdāsh, and ʿAbd al-Ḥamīd Luṭfī (al-Qāhirah: Dār al-Kātib al-ʿArabī lil-Ṭibāʿah wa al-Nashr, 1967)
Partial facsimile edition and translation:
- Kāshī, Jamshīd ibn Masʿūd, The Extraction of the n-th Root in the Sexagesimal Notation ... Chapter 5, Treatise III, of Miftāḥ al-ḥisāb, ed. and trans. by Abdul-Kader Dakhel (Beirut: American University of Beirut, 1960)
Studies:
- Thompson, J.R. Fawcett, 'The Rich Manuscripts', The British Museum Quarterly 27.1/2 (1963) pp. 18-23
- Rosenfeld, B. A. and Ekmeleddin Ihsanoğlu, Mathematicians, Astronomers, and Other Scholars of Islamic Civilization and Their Works (7th-19th c.), (Istanbul: IRCICA, 2003), no. 802, pp. 269-71
- 'Kāshī: Ghiyāth (al-Milla wa-) al-Dīn Jamshīd ibn Mas‘ūd ibn Maḥmūd al-Kāshī [al-Kashānī]', in The Biographical Encyclopedia of Astronomers, ed. by Thomas Hockey et al. (New York: Springer, 2007) pp. 613-15
- Material Type:
- Archives and Manuscripts
- Legal Status:
- Not Public Record(s)