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GANITASĀRASANGRAHA.
the squares of that (sum and the difference of the bijas) gives rise (respeotively) to the measures of the (other) side and of the hypotenuse. This also is a process in the operation of constructing a geometrical) figure to be derived (from given bijas).
An example in illustration thereof. 941. 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 perpendioular-side, the other side and the hypotenuse (thereof).
The role for arriving at the bija nombers relating to a given figuro capablo of being derived (from bējas).
954. 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 hijas (required). Those (bijas) are, (respectively), the square roots of half the sum and of half the difference of the moasure of thu hypotenuse and the square of a (suitably) chosen optional number.
An example in illustration thereof. 964. In relation to a certain geometrical figure, the perpendionlar is 16: what are the bijas ? Or the other side is 30 : what are the bijas P The hypotenuse is 34 : what are they (the bijas) P
The rule for arriving at the numerical measures of the other side and of the hypotenuse, when the numerical measure of the perpendionlar-side is known; for arriving at the nomerical measures of the perpendioular-side and of the hypotenuse, when the numerical measure of the other side is known; and for arriving
984. In the role given here, a'-0", 8 ab, and a + b are represented an
(a + b) (a - b) (a + b) + (a - b)'. (a + b)(a - b).
96). The processes mentioned in this role may be seen to be converse to the myperations mentiored in stansa 90).
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