Miftāḥ al-ḥisāb مفتاح الحساب Kāshī, Jamshīd ibn Masʿūd كاشي، جمشيد بن مسعود
( مفتاح الحساب كاشي، جمشيد بن مسعود)

Name: Miftāḥ al-ḥisāb مفتاح الحساب Kāshī, Jamshīd ibn Masʿūd كاشي، جمشيد بن مسعود
Author: Jamshīd ibn Masʻūd Kāshī (author)

İsim	Miftāḥ al-ḥisāb مفتاح الحساب Kāshī, Jamshīd ibn Masʿūd كاشي، جمشيد بن مسعود
İsim Orijinal	مفتاح الحساب كاشي، جمشيد بن مسعود
Yazar	Jamshīd ibn Masʻūd Kāshī (author)
Basım Tarihi:	1589/1589
Basım Yeri	- Qatar National Library
Konu	Mathematics -- Early works to 1800 \| more \| less
Tür	Kitap
Dil	Arapça
Dijital	Evet
Yazma	Evet
Fiziksel Boyutlar	Codex; ff. ii+110+iii
Kütüphane:	Ortadoğu Dijital Kütüphanesi
Demirbaş Numarası	81055/vdc_100040164536.0x000001_ar \| 81055/vdc_100040164536.0x000001_en \| Add MS 7470
Kayıt Numarası	81055%2Fvdc_100040164536.0x000001_dlme
Lokasyon	British Library. India Office Records and Private Papers
Tarih	1589/1589
Notlar	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-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 ماأردنا إيراده في هذا الكتاب والحمد لله علىنعمائه والصلوة والسلاموالسلام (!) على خير خلقه محمد وآله الطاهرين وأصحابهالهادين المهتدين ...Colophon (f. 110r, lines 2-11):... قد فرغت من انتساخهذه النسخة الشريفة ليوم الأثنينمن شهر شوال سنة 997حرره الفقير إلى اللهعبد الرزاق بن عبد اللهبن عبد الرزاقبن جمشيد بنمسعود بن جمشيدمصنف هذا الكتابالشريف \| Codex; ff. ii+110+iii \| Material: Eastern laid paperDimensions: 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 inkRuling: 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-110rInk: 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 bindingCondition: 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 blockMarginalia: Many on ff. 4r-8r (by hand of scribe who begins on f. 8r); very few after f. 8rSeal: f. 3r \| more \| less
Parçası Olduğu	British Library: Oriental Manuscripts

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Miftāḥ al-ḥisāb مفتاح الحساب Kāshī, Jamshīd ibn Masʿūd كاشي، جمشيد بن مسعود

( مفتاح الحساب كاشي، جمشيد بن مسعود)

Yazar Jamshīd ibn Masʻūd Kāshī (author)

Basım Tarihi 1589/1589

Basım Yeri - Qatar National Library

Konu Mathematics -- Early works to 1800 | more | less

Tür Kitap

Dil Arapça

Dijital Evet

Yazma Evet

Fiziksel Boyutlar Codex; ff. ii+110+iii

Kütüphane Ortadoğu Dijital Kütüphanesi

Demirbaş Numarası 81055/vdc_100040164536.0x000001_ar | 81055/vdc_100040164536.0x000001_en | Add MS 7470

Kayıt Numarası 81055%2Fvdc_100040164536.0x000001_dlme

Lokasyon British Library. India Office Records and Private Papers

Tarih 1589/1589

Notlar 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-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 ماأردنا إيراده في هذا الكتاب والحمد لله علىنعمائه والصلوة والسلاموالسلام (!) على خير خلقه محمد وآله الطاهرين وأصحابهالهادين المهتدين ...Colophon (f. 110r, lines 2-11):... قد فرغت من انتساخهذه النسخة الشريفة ليوم الأثنينمن شهر شوال سنة 997حرره الفقير إلى اللهعبد الرزاق بن عبد اللهبن عبد الرزاقبن جمشيد بنمسعود بن جمشيدمصنف هذا الكتابالشريف | Codex; ff. ii+110+iii | Material: Eastern laid paperDimensions: 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 inkRuling: 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-110rInk: 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 bindingCondition: 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 blockMarginalia: Many on ff. 4r-8r (by hand of scribe who begins on f. 8r); very few after f. 8rSeal: f. 3r | more | less

Parçası Olduğu British Library: Oriental Manuscripts