2022
Ce document est lié à :
info:eu-repo/semantics/altIdentifier/doi/10.1017/9781108884488.003
info:eu-repo/semantics/OpenAccess
Agathe Keller, « Characterizing a Sanskrit Mathematical Commentary: An exploration of Pṛthūdaka‘s Vāsanābhāṣya on progressions », HAL-SHS : histoire, philosophie et sociologie des sciences et des techniques, ID : 10.1017/9781108884488.003
Exploring what could have been the particularity of Sanskrit mathematical commentaries in the larger landscape of the scholarly commentaries of South Asia, this article explores how Pṛṭhūdaka (ca. 850) carries out 'explanations' on two mathematical verses of Brahmagupta's Theoretical Astronomical Treatise of the True Brāhma [School] (Brāhmasphuṭasiddhānta-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 progresssion 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.