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18
GANITASARASANGRAHA.
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 enbes. Give out those cubes 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 cubing, the fifth of the operations known as Parikarman.
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; thon divide the (number represented by the next) bhajya 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) Odhya place (after it is taken into position) the square of the (abovo) quotient as multiplied by three and by the already mentioned (root of the highest possible cube); and then (subtract) from
53 and 54. The figures in any given number, the cube-root whereof is required, are conceived in these rules to be divided into groups, each of which consists as far as possible of three figures, named, in the order from right to left, na ghana or that which is cubic, that is, from which the cube is to be subtracted, as sodhya cor that which is to be subtracted from, and as bhajya or that which is to be divided. The bhajya and sidhya are also known as aghana or non-cubie. The last group on the left need not always consist of all these three figures; it may
