Fī al-falak wa-al-handasah wa-al-ḥisāb
Contributors: Ṭūsī, al-Muẓaffar ibn Muḥammad, active 12th century; Alhazen, 965-1039; Archimedes; Aristarchus, of Samos; Nasawī, ʻAlī ibn Aḥmad, -1039; Omar Khayyam; Ṣābiʼ, Jābir ibn Ibrāhīm, active 10th century; Ṣābiʼ, Jābir ibn Ibrāhīm, active 10th century; Sanjarī, Aḥmad ibn Ibrāhīm, active 10th century-11th century; Sijzī, Aḥmad ibn Muḥammad, -1084 or 1085; Alhazen, 965-1039; Fārābī; Ibn al-Surá, Aḥmad ibn Muḥammad, -1153; Taqī al-Dīn Naṣr, scribe; Arghūn, Mamlūk, autographer; Naʻīm, former owner; Smith, David Eugene, 1860-1944, former owner; Muslim World Manuscripts (Columbia University. Rare Book and Manuscript Library)
Published: 1200
Language: ara
Number of pages: 146
Subjects: Arab Mathematics; Early works to 1800; Geometry; Algebra; Arab Astronomy; Music theory; Arabic Manuscripts; Persian Manuscripts; Conics (Apollonius, of Perga)
Other titles: Fī masāḥat al-dāʼirah.; Kitāb Arisṭākhus fī jirmay al-nayyirayn wa-abʻādihimā.; Ashkāl nāfiʻah fī kitāb Arshimīdas.; Risālat al-tazyīn fī ḥisāb jadwal al-thalāthīn.
Description: Collection of treatises, copied in the same hand, on mathematical sciences. Topics include calculating heights, distances, areas, solving geometrical and algebraic problems, music theory. At the back of the work are three additions: 1) pages of notes, probably by the copyist, about some of the works in the collection (f. 129r-137v), 2) an added commentary on Apollonius' Conics copied in a different hand (f. 139v-143r), 3) further notes. One folio in Persian (f. 71) is misplaced and should follow folio 78.
Notes: Manuscript codex.

Title from added title (f. 1r).

Layout: Chiefly 19 lines per page; some marginalia.

Script: Written in naskh in brown ink; partially pointed.

Decoration: Rubrications in red; numerous geometrical diagrams in red and brown.

Origin: The item is not dated, but was likely produced in the 13th or 14th century based on the paper and writing. A section that was probably copied later is signed Taqī al-Dīn Naṣr al-Ḥanafī (f. 143r).

Shelfmark: MS Or 45.

Former shelfmark: Smith Or 45 (Smith Oriental MS 45)

Autograph of the Mamlūk Arghūn (f. 143v).

Digital version available with no restrictions Unrestricted online access

Electronic reproduction. New York, N.Y.: Columbia University Libraries, 2021. Digitized as part of the Muslim World Manuscripts Project, 2018-2021, funded by CLIR.

Benchmark for Faithful Digital Reproductions of Monographs and Serials. Version 1. December 2002. Digital version conforms to: http://purl.oclc.org/DLF/benchrepro0212

Gift of David Eugene Smith, 1931-1934.

Arabic with one work in Persian (number 8).

Formerly owned by Naʻīm (stamp and note, f. 1r).

Bound in dark brown leather over pasteboard; sides completely covered with blind tooled geometrical design made of intersecting straight lines with 12-pointed start at the center; blind tooled frame.

Rāshid, Rushdī., and B. Vahabzadeh. Al-Khayyām Mathématicien. Paris: A. Blanchard, 1999.

Roberts, Alexandre M. "Mathematical Philology in the Treatise on Double False Position in an Arabic Manuscript at Columbia University." Philological Encounters 5.3 (2020): 308-352.

Digitized. 2021 Columbia University Libraries committed to preserve
Table of contents: title: 1. f. 1v-14r: Kitāb [Manālāwus] fī al-kurīyāt; title: 2. f. 15v-18v: ʻAn murabbaʻ mutasāwī al-aḍlāʻ / Muẓaffar ibn Muḥammad al-Ṭūsī; title: 3. f. 18v-24r: Maqālah fī istikhrāj irtifāʻ al-quṭb / al-Ḥasan ibn al-Ḥusayn ibn al-Haytham; title: 4. f. 24r-25r: Ashkāl nāfiʻah fī kitāb Arshimīdas; title: 5. f. 25r-30v: Fī masāḥat al-dāʼirah / Arshimīdas; title: 6. f. 30v-48v: Kitāb Arisṭākhus fī jirmay al-nayyirayn wa-abʻādihimā / Arisṭākhus; title: 7. f. 49r-75v: Kitāb al-lāmiʻ fī amthāl al-Zīj al-jāmiʻ / ʻAlī ibn Aḥmad al-Nasawī; title: 8. f. 76v-81r: Risālat al-tazyīn fī ḥisāb jadwal al-thalāthīn [in Persian]; title: 9. f. 81v-109r: Maqālah fī al-jabr wa-al-muqābalah / Abū al-Fatḥ ʻUmar ibn Ibrāhīm al-Khayyāmī; title: 10. 109v-111r: Īḍāḥ al-burhān ʻalá ḥisāb al-khaṭaʼayn / Abī Saʻd Jābir ibn Ibrāhīm al-Ṣābiʼ; title: 11. f. 111v-113r: Ḥāshiyah ʻalá Īḍāḥ al-burhān ʻalá ḥisāb al-khaṭaʼayn / Abū Saʻd al-Ṣābiʼ; title: 12. f. 113r-115r: Muqaddimah li-ṣināʻat ālah tuʻrafu bi-hā al-abʻād / Aḥmad ibn Ibrāhīm al-Sanjarī; title: 14. f. 115v-121v: Fī amr al-khaṭṭayn / Aḥmad ibn Muḥammad ibn ʻAbd al-Jalīl al-Sijzī; title: 15. f. 121v-122r: Fī maʻrifat irtifāʻ al-ashkhāṣ al-qāʼimah / Abū ʻAlī ibn al-Haytham; title: 16. f. 122v-125r: Masʼalah dhakarahā Abū Naṣr al-Fārābī fī al-maqālah al-ūlá min al-fann al-awwal fī al-mūsīqá / Abū Naṣr al-Fārābī; title: 17. f. 125r-128v: Min kalām Abī al-Futūḥ ibn al-Surá; title: 18. f. 129r-137v: [Notes]; title: 19. f. 139v-143r: [Commentary on Apollonius' Conics]; title: 20. f. 144r-146v: [Notes]