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History of Hindu Mathematics: A Source Book v1.c8.s9.18

History of Hindu Mathematics: A Source Book v1.c8.s9.18

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v1.c8.s9.18

"*Ghana* (*i.e.*, the place from which cube is subtracted), *bhājya* (*i.e.*, the "dividend" place) and *śodhya* (*i.e.*, the "minuend" place) are the denominations (of the places). Subtract the (greatest) cube from its own place (*i.e.*, from the numbers upto the last *ghana* digit); bring down the *bhājya* digit and divide it³ by thrice the square of the cube-root which has been permanently placed. Place the quotient in the line (of the root). The square of this (quotient) multiplied by thrice the previous root is subtracted from its own place (*i.e.*, the *śodhya* place) and its cube from the *ghana* place. If the above operations be possible then this (*i.e.*, the number in the line) is the root so far. Then bringing down the *bhâjya* digit continue the process as before (till it ends)."¹