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  • 3 - Characterizing a Sanskrit Mathematical Commentary

  • from Commentators at Work
  • Edited by Karine Chemla, Centre National de la Recherche Scientifique (CNRS), Paris, Glenn W. Most, Scuola Normale Superiore, Pisa
  • Book:
    Mathematical Commentaries in the Ancient World
    Published online:
    02 June 2022
    Print publication:
    09 June 2022, pp 96-140

  • Summary

    Exploring what could have been the particularity of Sanskrit mathematical commentaries in the larger landscape of the scholarly commentaries of South Asia, this chapter explores how Prthūdaka (ca. 850) carries out ‘explanations’ on two mathematical verses of Brahmagupta's Theoretical Astronomical Treatise of the True Brahma [School] (Brahmasphuṭasiddhānta-628) concerning progressions. As the commentator explores in many different ways the scope of the rule, a multiplicity of meanings is drawn out, among which one may find the interpretation of a progression as a pile of areas of rectangles within a ‘proof’, or the reading of one procedure as being an algebraical consequence of a previous one. It is within examples and their variations that such mathematical explorations are made, and these may very well be the textual particularity of mathematical commentaries in South Asia.