• Thumbnail for Jamshid al-Kashi
    Ghiyāth al-Dīn Jamshīd Masʿūd al-Kāshī (or al-Kāshānī) (Persian: غیاث‌الدین جمشید کاشانی Ghiyās-ud-dīn Jamshīd Kāshānī) (c. 1380 Kashan, Iran – 22 June...
    25 KB (3,007 words) - 17:46, 27 January 2025
  • Thumbnail for Law of cosines
    theorem. About two centuries later, another Persian mathematician, Jamshīd al-Kāshī, who computed the most accurate trigonometric tables of his era, also described...
    38 KB (5,891 words) - 16:04, 9 April 2025
  • Thumbnail for Ulugh Beg Observatory
    period. Islamic astronomers who worked at the observatory include Jamshid al-Kashi, Ali Qushji, and Ulugh Beg himself. The observatory was destroyed in 1449...
    21 KB (2,942 words) - 00:53, 29 March 2025
  • {2b}{3}}} and b {\displaystyle b} . In the early 15th century, Jamshīd al-Kāshī developed an early form of Newton's method to numerically solve the equation...
    122 KB (17,064 words) - 09:24, 18 February 2025
  • Thumbnail for Timurid Renaissance
    pdf O'Connor, John J.; Robertson, Edmund F., "Ghiyath al-Din Jamshid Mas'ud al-Kashi", MacTutor History of Mathematics Archive, University of St...
    25 KB (2,777 words) - 22:33, 23 March 2025
  • Kashani (redirect from Al-Kashani)
    Kashani or Qashani (Persian: کاشانی), often shortened to Kashi or al-Kashi (Persian: کاشی), is a surname meaning a person who comes from Kashan, Iran...
    2 KB (324 words) - 08:47, 9 November 2024
  • O'Connor, John J.; Robertson, Edmund F. (1999). "Ghiyath al-Din Jamshid Mas'ud al-Kashi". MacTutor History of Mathematics archive. Archived from the...
    149 KB (17,490 words) - 21:18, 14 April 2025
  • fraction. Al-Uqlidisi uses decimal fractions as such, appreciates the importance of a decimal sign, and suggests a good one. Not al-Kashi (d. 1436/7)...
    5 KB (606 words) - 11:07, 28 October 2024
  • Thumbnail for Approximations of π
    developed approximations correct to eleven and then thirteen digits. Jamshīd al-Kāshī achieved sixteen digits next. Early modern mathematicians reached an accuracy...
    86 KB (12,051 words) - 00:53, 12 April 2025
  • was 3;8,30 = 3 + ⁠8/60⁠ + ⁠30/602⁠ = ⁠377/120⁠ ≈ 3.141666.... Jamshīd al-Kāshī, a 15th-century Persian mathematician, calculated 2π as a sexagesimal expression...
    27 KB (3,032 words) - 17:03, 13 April 2025
  • Thumbnail for Kashi Vishwanath Temple
    Kashi Vishwanath Temple is a Hindu temple dedicated to Shiva. It is located in Vishwanath Gali, in Varanasi, Uttar Pradesh, India. The temple is a Hindu...
    39 KB (3,937 words) - 13:43, 4 April 2025
  • Thumbnail for Chronology of computation of π
    Jamshid Mas'ud al-Kashi", MacTutor History of Mathematics Archive, University of St Andrews Azarian, Mohammad K. (2010). "Al-Risāla Al-Muhītīyya: A Summary"...
    41 KB (1,640 words) - 08:37, 2 April 2025
  • Thumbnail for Science in the medieval Islamic world
    al-'Awwam, and geography enabled Abu Zayd al-Balkhi to make accurate maps. Islamic mathematicians such as Al-Khwarizmi, Avicenna and Jamshīd al-Kāshī...
    48 KB (5,246 words) - 10:16, 1 April 2025
  • Thumbnail for Al-Birjandi
    mathematician and physicist who lived in Birjand. Al-Birjandi was a pupil for Mansur ibn Muin al-Din al-Kashi, a member at the Samarkand Observatory, otherwise...
    8 KB (825 words) - 05:28, 7 March 2025
  • Ma'shar al-Balkhi (Albumasar) Jamshīd al-Kāshī Kamāl al-Dīn al-Fārisī Muḥyi al-Dīn al-Maghribī Mo'ayyeduddin Urdi Muhammad Baqir Yazdi Nasir al-Din al-Tusi...
    21 KB (2,159 words) - 07:02, 5 January 2025
  • Thumbnail for Radian
    Lehrbrief über den kreisumfang von Gamshid b. Mas'ud al-Kasi [Treatise on the Circumference of al-Kashi]. Berlin: Akademie Verlag. p. 40. Roche, John J. (21...
    41 KB (5,420 words) - 00:20, 13 March 2025
  • Thumbnail for Fraction
    the Chinese many centuries before Stevin and that the Persian astronomer Al-Kāshī used both decimal and sexagesimal fractions with great ease in his Key...
    67 KB (9,636 words) - 18:10, 16 April 2025
  • geometry. 1424 – Ghiyath al-Kashi computes π to sixteen decimal places using inscribed and circumscribed polygons. 1427 – Jamshid al-Kashi completes The Key...
    65 KB (7,874 words) - 06:55, 10 April 2025
  • 15th century — Ibn al-Banna and al-Qalasadi introduced symbolic notation for algebra and for mathematics in general. 1427 — Al-Kashi completes The Key...
    11 KB (1,333 words) - 12:50, 15 February 2025
  • Thumbnail for Positional notation
    The Persian mathematician Jamshīd al-Kāshī made the same discovery of decimal fractions in the 15th century. Al Khwarizmi introduced fractions to Islamic...
    52 KB (7,495 words) - 06:04, 13 April 2025
  • Thumbnail for Islamic Golden Age
    "Ghiyath al-Din Jamshid Mas'ud al-Kashi". University of St Andrews. 1999. Retrieved 29 December 2021. "Abu Abd Allah Muhammad ibn Muadh Al-Jayyani"....
    123 KB (13,905 words) - 16:00, 16 April 2025
  • Thumbnail for History of trigonometry
    in Naṣīr al-Dīn al-Ṭūsī's Book on the Complete Quadrilateral (c. 1250), and the same method is described in more detail in Jamshīd al-Kāshī's Key of Arithmetic...
    53 KB (6,823 words) - 12:21, 17 April 2025
  • been previously found in such late works as those of al-Kāshī (fifteenth century) and Naṣīr al-Dīn al-Ṭūsī (thirteenth century), some had suggested that...
    42 KB (6,735 words) - 15:21, 17 April 2025
  • Thumbnail for Vieta's formulas
    Sharaf al-Din al-Tusi. It is plausible that the algebraic advancements made by Arabic mathematicians such as al-Khayyam, al-Tusi, and al-Kashi influenced...
    12 KB (2,585 words) - 07:26, 5 April 2025
  • Thumbnail for Qāḍī Zāda al-Rūmī
    He computed sin 1° to an accuracy of 10−12. Together with Ulugh Beg, al-Kāshī and a few other astronomers, Qāḍī Zāda produced the Zij-i-Sultani, the...
    4 KB (378 words) - 10:10, 20 February 2024
  • Thumbnail for Zij
    Khaqani Zij — by Jamshīd al-Kāshī (1380–1429) Zij-i-Sultani (1437) — by Ulugh Beg (1393–1449) Unbored Pearl (1579–1580) — by Taqi al-Din Muhammad ibn Ma'ruf...
    10 KB (1,116 words) - 21:46, 2 April 2025
  • Thumbnail for Simon Stevin
    given well before Stevin in the book Miftah al-Hisab written in 1427 by Al-Kashi. His contemporaries were most struck by his invention of a so-called land...
    32 KB (3,729 words) - 00:45, 26 February 2025
  • Thumbnail for Degree (angle)
    fourths, etc., which continues the sexagesimal unit subdivision, was used by al-Kashi[citation needed] and other ancient astronomers, but is rarely used today...
    14 KB (1,469 words) - 12:59, 4 April 2025
  • Runge–Kutta methods, for numerical solution of differential equations Jamshīd al-Kāshī used iterative methods to calculate the sine of 1° and π in The Treatise...
    11 KB (1,546 words) - 15:43, 10 January 2025
  • Thumbnail for Newton's method
    Metrica (1st–2nd century CE), so is often called Heron's method. Jamshīd al-Kāshī used a method to solve xP − N = 0 to find roots of N, a method that was...
    70 KB (8,869 words) - 16:05, 13 April 2025