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: Ghiyāth al-Dīn Jamshīd ibn Masʿūd ibn Maḥmūd al-Kāshī

İsim	Miftāḥ al-ḥisāb مفتاح الحساب Kāshī, Jamshīd ibn Masʿūd كاشي، جمشيد بن مسعود
İsim Orijinal	مفتاح الحساب كاشي، جمشيد بن مسعود
Yazar	Ghiyāth al-Dīn Jamshīd ibn Masʿūd ibn Maḥmūd al-Kāshī
Basım Tarihi:	2 Shawwāl 997 (AH, Hijri qamari)
Konu	1
Tür	Kitap
Dil	Arapça
Dijital	Evet
Yazma	Evet
Sayfa Sayısı	1
Fiziksel Boyutlar	243 x 170 mm
Kütüphane:	Katar Dijital Kütüphanesi
Demirbaş Numarası	Add MS 7470
Kayıt Numarası	vdc_100040164536.0x000001
Lokasyon	British Library: Oriental Manuscripts
Tarih	2 Shawwāl 997 (AH, Hijri qamari)
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 Section at the end of a manuscript text. was the great-great-great-grandson of the author Jamshīd ibn Masʿūd ibn Maḥmūd al-Kāshī (see colophon Section at the end of a manuscript text. , 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 Section at the end of a manuscript text. (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
Erişim Koşulları	Unrestricted
Bulma Yardımcıları	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
Edinme Kaynağı	Purchased from Mary Rich (née Mackintosh), widow of Claudius James Rich (1786-1821), Political Resident A senior ranking political representative (equivalent to a Consul General) from the diplomatic corps of the Government of India or one of its subordinate provincial governments, in charge of a Political Residency. in Baghdad (1808-1821), 25 March 1825
Köken	Khiḍr Abū ‘Alī ‘Alī Khulqī (خضر أبو علي علي خلقي): his seal, dated 1174/1760-1 (f. 3r)
Seçilmiş kaynakça	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 N otation ... 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

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

( مفتاح الحساب كاشي، جمشيد بن مسعود)

Yazar Ghiyāth al-Dīn Jamshīd ibn Masʿūd ibn Maḥmūd al-Kāshī

Basım Tarihi 2 Shawwāl 997 (AH, Hijri qamari)

Konu 1

Tür Kitap

Dil Arapça

Dijital Evet

Yazma Evet

Sayfa Sayısı 1

Fiziksel Boyutlar 243 x 170 mm

Kütüphane Katar Dijital Kütüphanesi

Demirbaş Numarası Add MS 7470

Kayıt Numarası vdc_100040164536.0x000001

Lokasyon British Library: Oriental Manuscripts

Tarih 2 Shawwāl 997 (AH, Hijri qamari)

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 Section at the end of a manuscript text. was the great-great-great-grandson of the author Jamshīd ibn Masʿūd ibn Maḥmūd al-Kāshī (see colophon Section at the end of a manuscript text. , 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 Section at the end of a manuscript text. (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

Erişim Koşulları Unrestricted

Bulma Yardımcıları 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

Edinme Kaynağı Purchased from Mary Rich (née Mackintosh), widow of Claudius James Rich (1786-1821), Political Resident A senior ranking political representative (equivalent to a Consul General) from the diplomatic corps of the Government of India or one of its subordinate provincial governments, in charge of a Political Residency. in Baghdad (1808-1821), 25 March 1825

Köken Khiḍr Abū ‘Alī ‘Alī Khulqī (خضر أبو علي علي خلقي): his seal, dated 1174/1760-1 (f. 3r)

Seçilmiş kaynakça 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 N otation ... 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