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

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.