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GAṆITASĀRASAṄGRAHA.

the squares of that (sum and the difference of the bījas) gives rise (respectively) 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 bījas).

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 bījas, and then think out and mention quickly the numbers measuring the perpendicular-side, the other side and the hypotenuse (thereof).

The rule for arriving at the bīja numbers relating to a given figure capable of being derived (from bījas).

95.[2] The operation of saṅkramaṇa between (an optionally chosen exact) divisor of the measure of the perpendicular-side and the resulting quotient gives rise to the (required) bījas. (An optionally chosen exact) divisor of half the measure of the (other) side and the resulting quotient (also) form the bījas (required). Those bījas 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 perpendicular is 16: what are the bījas? Or the other side is 30: what are the bījas? The hypotenuse is 34: what are they(the bījas) ?

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 hypotenuse, when the numerical measure of the other side is known; and for arriving


93.^ In the rule given here, are represented as .

95.^ The processes mentioned in this rule may be seen to be converse to the operations mentioned in stanza 90.