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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

Name: 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
Creator: Whish, Charles M.

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1834 English Publisher:Cambridge University Press (CUP)Journal:Transactions of the Royal Asiatic Society of Great Britain and Ireland, volume 3, pages 509-523 (issn: 0950-4737, eissn: 2051-2058,

Authors: Whish, Charles M.;

doi: 10.1017/s0950473700001221

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

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Abstract

A'ryab'hatta, who flourished in the beginning of the thirty-seventh century of the Cáli Yuga, of which four thousand nine hundred and twenty years have passed, has in his work, the Aryab'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.

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