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256
GANITASĀRASANGRAHA.
The rule for arriving at the numerical value of the diameter of a (given) cirole when the namerical values of the related) bow-string line and the arrow line are known :
2294. The quantity representing the square of the value of the bow-string line is divided by the value of the arrow line as multiplied by four. Then the value of the arrow line is added (to the resulting quotient). What is so obtained is pointed out to be the measure of the breadth of the regular cirole measured through the centre.
An example in illustration thereof. 2304. In the case of a regular circular figure, it is known that the arrow line is 2 dundas in measure, and the bow-string line 8 dandas. What may be the value of the diameter in respect of this (circle) ?
When two regular circles cut each other, there arises a fishshaped figure. In relation to that fish-shaped figure, the line going from the mouth to the tail (thereof) should be drawn. With the aid of this line, there will come into existence the outlines of two bowe applied to each other face to face. The line drawn from the mouth to the tail (of the fish-figure) happens to be itself the bow-string line in relation to both these bows. The two arrow lines in relation to both these bows are themselves to be understood as forming the two arrow lines connected with the mutually overlapping circles. And the rule here is to arrive at the values of the arrow linos connected with the overlapping portion when two regular ciroles out each other :
2317. With the aid of the values of the two diameters (of the two outting ciroles) as diminished by the value of the greatest breadth of) the overlapped portion (of the ciroles), the operation of praksépaka should be carried out in relation to this (known) value of the greatest breadth of the overlapped portion (of the circles). The two results (so obtained) are in the matter
281). The problem here contemplated may be seen to bave been alao solved by Aryabhata, and the rule given by bit ooinoides with the one andor redaredoe hore.
