History of Hindu Mathematics: A Source Book v2.c17.s25.61

v2.c17.s25.61

“Assume first the value of the square-root pertaining to the difference (of the numbers wanted) to be any unknown with or without an absolute number. The root corresponding to the sum will be equal to the root pertaining to the difference together with the square-root of the quotient of the interpolator of the difference of the squares divided by the interpolator for the sum or difference of the numbers. The squares of these two less their interpolator are the sum and difference of the numbers. From them the two numbers can be found by the rule of concurrence.”¹