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Shri Mahavir Jain Aradhana Kendra
www.kobatirth.org
Acharya Shri Kailassagarsuri Gyanmandir
GANITASĀRASANGRAHA.
50. The number 213 is cubed; and twice, thrice, four times and five times that (number are) also (cubed ; find out the corresponding quantities)
51. It is seen that 168 multiplied by all the numbers from 1 to 8 is related (as base) to the required cubes. Give out those cnbes quickly.
52. O you, who have seen the other shore of the deep and excellent ocean of the practice of arithmetical) operations, write down the figures 4, 0,6, 0,5, and 9 in order (from right to left), and work out the cube of the number (represented by those figures), and mention the result at once.
Thus ends cabing, the fifth of the operations known as Parıkarman.
Cube Root.
The rule of work in relation to the operation of extracting the cube root, which is the sixth (among the parikarman operations), is as follows:
53. From (the number represented by the figures up to) the last ghana place, subtract the (highest possible) cube ; then divide the (number represented by the next) bhäjya place (after it is taken into position) by three times the square of the root (of that cube); then subtract from the number represented by the next) lõdhya place (after it is taken into position) tho square of the (above) quotient as multiplied by three and by the alreads mentioned (root of the highest possible cube); and then (subtract) from
53 and 54. The figures in any given number, the cabe-root whereof is required, are conceived in these rules to be divided into gronps, each of which consiste ag far as possible of three figures, Danied, in the order from right to ieft, as ghana or that which ia cubio, that is, from which the cube is to be subtracted, as sodhya or that which is to be subtracted from, and as bhäjya or that which is to be divided. The bhajya and sodhya are also known as aghana or non-cubic. The last group on the left need not always consist of all these three figures ; it may
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