Characterizing a Sanskrit Mathematical Commentary: An exploration of Pṛthūdaka‘s Vāsanābhāṣya on progressions
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2022
- handle: 10670/1.of4loo
- isbn: 978-1-108-83957
- halshs: halshs-03101614
- doi: 10.1017/9781108884488.003
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info:eu-repo/semantics/altIdentifier/doi/10.1017/9781108884488.003
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Mots-clés
explanation upapanna vāsanā commentary Pṛthūdaka Brahmagupta bhāṣya progressions średdhi algebraical proof geometrical representation of arithmetical progressionsSujets proches
Asia, South Indian Subcontinent Southern Asia Indian Sub-continent ProofCiter ce document
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
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Résumé
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.