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| Sindhind | |
|---|---|
| Name | Sindhind |
| Genre | Astronomical treatise |
| Language | Arabic (translations from Sanskrit) |
| Author | Attributed to Indian and Persian sources; Arabic redactors |
| Date | early 8th century (c. 770s CE transmission) |
| Country | Umayyad and early Abbasid Caliphates |
Sindhind.
Sindhind is the medieval Arabic transmission of Indian astronomical tables and computus texts that entered the Islamic world in the 8th century CE. It comprises calendar rules, planetary mean motions, eclipse parameters, and arithmetic algorithms derived from Sanskrit siddhāntas and Sanskrit-Persian compilations, later integrated into the corpus of Arabic astronomy associated with scholars at Umayyad Caliphate, Abbasid Caliphate, and the House of Wisdom milieu. The work played a formative role in the transmission of Indian mathematical astronomy to Baghdad, Córdoba, Toledo, and medieval Persia.
The title reflects a transcription of the Sanskrit term "siddhānta" into Arabic phonology, popularly rendered in medieval sources as Sindhind or Sindhind al-ajjām. Manuscript colophons and chronicles of al-Tabarī, al-Kindī, Alfraganus (Al-Farghānī), and al-Battānī refer to the Sindhind in connection with translations commissioned by al-Mansur and later patronage by al-Ma'mun. Later medieval catalogues compiled by Ibn al-Nadīm and bibliographies in Ibn Abi Usaybi'a list various Sindhind recensions alongside works attributed to Brahmagupta and Varāhamihira as sources. European medieval chroniclers in Al-Andalus and Latin translators in Toledo School of Translators sometimes latinized the name in their indices.
Surviving witnesses of the Sindhind tradition appear in Arabic manuscripts preserved in libraries of Cairo, Istanbul, Tunis, Tehran, and European collections such as the Bibliothèque nationale de France and the British Library. Codicological evidence shows multiple recensions: an early 8th-century translation phase tied to transmissions from Sindh and Gujarat, a 9th–10th-century redaction integrating Persian astronomical tables associated with Brahmagupta’s school, and later medieval revisions circulated in al-Andalus and North Africa. Catalogues by Ibn al-Nadīm distinguish editions based on the length of tables and presence of eclipse recipes; marginalia in copies cite authorities like Yativṛddha and anonymous Indian scholars. Paleographic dating, irrigation of marginal arithmetic, and comparative collation with Sanskrit manuscripts indicate layered accretion rather than a single-author composition.
The Sindhind corpus typically opens with calendrical rules for determining lunar months and intercalation, followed by numerical tables for mean motions of the Sun, Moon, and five visible planets: Mercury, Venus, Mars, Jupiter, and Saturn. It includes rules for computing conjunctions, lunar phases, and solar and lunar eclipses, plus planetary position algorithms based on mean motions and simple corrections. Some manuscripts add chapters on right ascension and declination for fixed stars catalogued by traditions related to Ptolemy’s Almagest and Indian nakṣatra lists such as those found in works by Varāhamihira. Structural features include tabular layouts, sexagesimal fractions, and worked examples modeled on Indian arithmetical pedagogy.
Analysis of the Sindhind shows direct dependence on Sanskrit siddhāntas such as those of Brahmagupta, Aryabhata I, and Varāhamihira together with Parthian-Persian intermediaries. Mathematical techniques include place-value arithmetic, sexagesimal notation, and algorithms for mean motion interpolation traceable to Aryabhata’s kuttaka and jyā/koṭi formulations. Eclipse computation methods employ mean syzygies and empirical parallactic corrections related to rules found in Sūryasiddhānta recensions. The planetary theory in Sindhind is largely arithmetic and tabular rather than geometrical, contrasting with the epicyclic models formalized later by al-Battānī and Ibn al-Haytham.
Sindhind material profoundly influenced early Islamic astronomy: it informed the tables and computational practices used by al-Khwarizmi in his Zij al-Sindhind, shaped calendrical reform debates at the courts of al-Mansur and al-Ma'mun, and contributed to the corpus used by observatories in Maragha and Samarkand centuries later. The Arabic Sindhind entered Al-Andalus, where it impacted figures associated with the Toledo translation movement and later Latin works that transmitted Indian methods to medieval Europe, including influences on scholars of the 12th century renaissance. Scholars such as Ḥabash al-Ḥāsib and al-Farghānī cite Sindhind-derived parameters; Jewish and Christian translators in Sicily and Catalonia encountered these tables in multilingual manuscript contexts. Reception varied: some astronomers adopted the arithmetic tables wholesale, others critiqued rectangular errors and sought synthesis with Hellenistic models.
Modern philology and history of science studies have produced critical editions, catalogues, and comparative studies of Sindhind manuscripts by scholars working in Leiden, Paris, London, Copenhagen, and Tehran. Editions analyze variants against Sanskrit sources preserved in archives of Bharatiya Vidya Bhavan and institutes housing Sanskrit manuscripts. Research employs textual criticism, computational reconstruction, and paleomathematical analysis to trace numerical divergences and scribal corruption. Ongoing projects in digital humanities aim to produce diplomatic editions and machine-readable tables to facilitate studies by historians such as those at Max Planck Institute for the History of Science and university departments in Oxford, Harvard, and Princeton.
Category:Astronomical works Category:Medieval Arabic literature Category:History of astronomy