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XXXIII. On the Hindú Quadrature of the Circle, and the infinite Series of the proportion of the circumference to the diameter exhibited in the four S'ástras, the Tantra Sangraham, Yucti Bháshá, Carana Padhati, and Sadratnamála
Published online by Cambridge University Press: 24 September 2009
Extract
A'ryab'hatta, who flourished in the beginning of the thirty-seventh century of theCáli Yuga, of which four thousand nine hundred and twenty years have passed, has in his work, theAryab'hatiyam, in which he mentions the period of his birth, exhibited the proportion of the diameter to the circumference of the circle as 20000 to 62832, in the following verse:
Chaturadhicam ṣatamashṭaguṇandwáshashṭistathá sahasráṇám Ayutadwaya vishcambhasyásannó vritta pariṇáhah.
Information
- Type
- Research Article
- Information
- Transactions of the Royal Asiatic Society of Great Britain and Ireland ,Volume 3 ,Issue 3, July 1834, pp. 509 - 523
- Copyright
- Copyright © The Royal Asiatic Society 1834
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References
* Or the sixth century of the Christian era.
† This verse is in the variety of theAryavrtitam measure, calledVipula.
* This verse is in theUpajátivrittam measure.
† This verse is in theAnushtubvrittam measure.
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