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GANITASĪRABAÁGRARA. Subject of treatment known as Paisācika or
devilishly difficult problems. Hereafter we shall expound the subject of treatment known as Paikācika.
The rule for arriving, in relation to the equilateral quadri. lateral or longish quadrilateral figures, at the numerical measure of the base and the perpendicular-side, when, out of the perpendicular sido, he base, the diagonal, the area and the perimeter, any two are optionally taken to be equal, or when the area of the figure happens to be the product obtained by multiplying respectively by optionally choson multipliers any two desired quantities (out of the elements mentioned above): that is—(the rule for arriving at the numerical values of the base and the perpendicular-side in relation to an equilateral quadrilateral or a lougish quadrilateral figure.) when the area of the figure is (numerically, equal to the measure of the porimeter (thereof); or, when the area of the figure is numerically equal to the measure of the base (thereof); or, when the area of the figure is numerically equal to the measure of the diagonal (thereof); or, when the area of the figure is numerioally equal to half the measure of the perimeter; or, when the area of the figure is numerically equal to one-third of the base; or, when the area of the figure is numerically equal to one-fourth of the mesaare of the diagonal; or, when the area of the figure is numerically equal to that doubled quantity which is obtained by doubling the quantity which is the result of adding together twice the diagonal, three times the base, four times the perpendicularside and the perimeter and so on :
'1121. The measure of the base (of an optionally chosen figure of the required type), on being divided by the resulting) optional factor in relation thereto, (by multiplying with which the area
1124. The role will be clear from the following working of the first example given in stanga 1181 :--Here tho problem is to find out the measure of the wide of an oquilateral quadrilateral, the numerical value of the area where. of is equal to the numerical value of the perimeter. Taking an equilateral upadrilateral of any dimension, say, with 6 as the measure of its side, we have the portreter equal to 10, and the area gal to 85. The factor with which
