Author
Ghiyāth al-Dīn Jamshīd ibn Masʿūd ibn Maḥmūd al-Kāshī
Publication Date
2 Shawwal 997 (AH, Hijri)
Subject
1
Type
Book
Language
Arabic
Digital
Yes
Manuscript
Yes
Pages Count
1
Physical Dimensions
243 x 170 mm
Library
Qatar Digital Library
Library Asset ID
Add MS 7470
Record ID
vdc_100040164536.0x000001
Library Location
British Library: Oriental Manuscripts
Date
2 Shawwal 997 (AH, Hijri)
Notes
Compendium of mathematics by Ghiyāth al-Dīn Jamshīd ibn Masʿūd ibn Maḥmūd al-Kāshī (Ghiyāth al-Din Jamshid ibn Masoud ibn Mahmoud al-Kāshī, d. 1429 or 1436) or al-Kāshānī (Al-Kāshānī, see f. 3v, line 3). The text is known by both the short title
Key to Calculation
(Account key, see ff. 2r, line 8 and 3v, line 18) and the long title
The Calculators' Key to Arithmetic
(The key to the account in arithmetic).
The work is divided into an introduction and five treatises each subdivided into chapters. 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 (Agh Bey, 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 (ff. 1v-2v and 3v);
Chapter One: Calculation with Integers (The first article on the account of al-Sihah, ff. 4v-12r);
Chapter Two: Calculation with Fractions (The Second Treatise on the Calculation of Fractions, ff. 12r-18v);
Chapter Three: The Astronomers' Method of Calculation (Third Treatise on the Astronomers' Method of Calculation, ff. 18v-28v);
Chapter Four: Mensuration (Fourth Treatise on Survey, ff. 28v-61r);
Chapter Five: Deriving Unknowns by Means of Algebra, Muqābalah, the Two Errors and Other Rules of Calculation.
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 (Abdul Razzaq ibn Abdullah ibn Abdul Razzaq ibn Jamshid ibn Masoud ibn Jamshid), 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]):
Praise be to God who united with creativity...
The intercessors on the Day of Resurrection[d]...
May God Almighty forgive him...
He says his condition when he passed...
In her minutes, she revealed her mysteries, solved her problems, and deduced a lot of...
And the controls in it, and it extracted what was difficult for many of its directers to extract, as I resumed...
Ends (ff. 109v, line 19-110r, line 2):
...And this is the last thing
We wanted to include it in this book, and thank God for that
His blessings, prayers and peace
And peace (!) be upon the best of his creation, Muhammad, his pure family, and his companions
The guided ones...
Colophon
Section at the end of a manuscript text.
(f. 110r, lines 2-11):
...I have finished copying
This honorable edition is for Monday
From the month of Shawwal in the year 997
Free the poor man to God
Abdul Razzaq bin Abdullah
Bin Abdul Razzaq
Bin Jamshid bin
Masoud bin Jamshid
This book is classified
The honorable
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
