Author
Ghiyāth al-Dīn Jamshīd ibn Masʿūd ibn Maḥmūd al-Kāshī
Publication Date
1041 (AH, Hijri)
Subject
1
Type
Book
Language
Arabic
Digital
Yes
Manuscript
Yes
Pages Count
1
Library
Qatar Digital Library
Library Asset ID
IO Islamic 1039, ff 15v-122r
Record ID
vdc_100048818589.0x000002
Library Location
British Library: Oriental Manuscripts
Date
1041 (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. 15v, line 5). The text is known by both the short title
Key to Calculation
(Key account, see f. 16v, line 3) 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. The introduction includes a dedication to the sultan Ulugh Beg (Agh Bey, d. 1449, see f. 16v, line 1) and a list of the divisions of the text and their titles (f. 16v, line 6-17v, line 14).
Contents:
Introduction: Definition of Arithmetic, Explanation of the Subject and Definition of Number and its Parts, ff. 17v-18r);
Chapter One: Calculation with Integers (The first article on the account of al-Sihah, ff. 18r-31r);
Chapter Two: Calculation with Fractions (The Second Treatise on the Calculation of Fractions, ff. 31r-41v);
Chapter Three: The Astronomers' Method of Calculation (Third Treatise on Astronomers' Method of Calculation, ff. 41v-52v);
Chapter Four: Mensuration (Fourth Treatise on Survey, ff. 52v-85v);
Chapter Five: Deriving Unknowns by Meanings of Algebra,
Muqābalah
, the Two Errors and Other Rules of Calculation (The Fifth Article on Extracting Unknowns Using Algebra, Maqaba, Errors, and Other Rules of Arithmetic, ff. 85v-122r).
The treatise contains numerous diagrams.
Begins (f. 15v, lines 2-6):
May God bless you with success, O Generous One. Praise be to God, who unites with the creativity of individuals and is unique in his composition
Types of numbers and prayers for the best of His creation, the most intercessor of intercessors on the Day of Calling and upon
His family and children guide the way to salvation and guidance, for God Almighty’s creation is in need of forgiveness
Jamshid bin Masoud bin Mahmoud, the Kashani doctor nicknamed Ghayath, may God bless him, says: When I practiced
Arithmetic works and engineering laws reached their truths and exaggerated their details
Ends (f. 122r, lines 3-5):
...This is the last thing we wanted to mention in this book
Praise be to God Almighty for His blessings, and may blessings and peace be upon the best of Muhammad and his pure family
And his calm and guided companions
Erişim Koşulları
Unrestricted
Bulma Yardımcıları
Loth, Otto,
A Catalogue of the Arabic Manuscripts in the Library of the
India Office
The department of the British Government to which the Government of India reported between 1858 and 1947. The successor to the Court of Directors.
(London: Printed by order of the Secretary of State for India in Council, 1877), Item 756, p. 220
Stewart, Charles,
A Descriptive Catalogue of the Oriental Library of the Late Tippoo Sultan of Mysore. To which are Prefixed, Memoirs of Hyder Aly Khan, and his son Tippoo Sultan
(Cambridge: Cambridge University Press, 1809), p. 100, nos. vi and vii
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:
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
