210 the squares of that (sum and the difference of the bijas) gives rise (respectively) to the measures of the (other) side and of the hypotenuse. This also is a process in the operation of (construct- ing a geometrical) figure to be derived (from given bijas). GANITASARASANGRAHA. An example in illustration thereof. 94. O friend, who know the secret of calculation, construct a derived figure with the aid of 3 and 5 as bijas, and then think out and mention quickly the numbers measuring the perpendi- cular-side, the other side and the hypotenpse (thereof). The rule for arriving at the bija numbers relating to a given figure capable of being derived (from bijas). 95. The operation of sankramana between (an optionally chosen exact) divisor of the measure of the perpendicular-side and the resulting quotient gives rise to the (required) bijas. (An optionally chosen exact) divisor of half the measure of the (other) side and the resulting quotient (also) form the bajas (required). Those (bijas) are, (respectively), the square roots of half the sum and of half the difference of the measure of the hypotenuse and the square of a (suitably) chosen optional number. An example in illustration thereof. 96. In relation to a certain geometrical figure, the perpendi- cular is 16 what are the bijas? Or the other side is 30: what are the bijas? The hypotenuse is 34: what are they (the bijas) ? The rule for arriving at the numerical measures of the other side and of the hypotenuse, when the numerical measure of the perpendicular-side is known; for arriving at the numerical measures of the perpendicular-side and of the bypotenuse, when the numerical measure of the other side is known; and for arriving 93. In the rule given here, a-b², 2 ab, and a2 + b² are represented as (a + b)2(a - b) 2, (a + b)2 + (a - b) ². (a + b) (a - b), and 2 2 95. The processes mentioned in this rule may be seen to be converse to the operations mentioned in stanza 90¹.
