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SS 13-15 ] सटीको वृत्तजातिसमुच्चयः
xvii case is the Sesa; for the Caturmātra which is used at the 15th Amśa in the Gathā is SI130 and this is No. 4 among the 5 permutations of a Caturmātra explained in the commentary on I. 15. So we get 3; multiply this by 1 which is the figure under the 14th Amśa and deduct nil as there is no seșa in this case. So that we get 3 again. Further multiply 3 by 4 which latter is under the odd or the 13th Amśa and deduct the Sesa which in this case is 3 (the Gaņa here is SS, i.e., the 1st; but out of the remaining 4 only 3 can be employed here; so that the Seșa is 3 and not 4); the result is 9. Multiply this by 5 under the 12th Amśa and deduct 3 (the Gana used here is the 2nd, i.e., IIS, and since all the 5 can be used here, the Seșa is 3), getting 42. Multiply this by 4 which is under the 11th Amsa and deduct 3 from it which is the Sesa, since the very first permutation (SS) is used here and only 3 of the remaining are allowed here in the odd Amśa. We get 165. Proceed in this manner (for the details see the commentary on pp. 95-96) until we get the final figure by multiplying the figure that we get under the 2nd Amsa by 4 which is under the 1st Añśa and deducting the seșa namely 2 from it since the 1st Gana has the form IIS, i.e., the 2nd, and sesa would have been 3 but the 3rd or the Narendra Gana is not permitted here at the odd Amśa. This final figure is as given by the commentator 41,996,966, and this represents the serial number of our Gātha in the midst of the Prastāra of a Gathā which has 81.920,000 different forms as said at VI. 53 below.
15. The unknown structure of a Gāthā (nasta) is to be found out by following the reverse process which the author explains in v. 40, of course when its serial number in the Prastāra is given. It is to be started with the first Gaņa; after writing down the figures representing the possible number of permutations under each Gaņa as above, divide the given (serial) number by the figure under the 1st Gaņa or Amśa. If there is no remainder, put down the last (i.e., IIII) of the five permutations of a Caturmātra mentioned at 1.15, as the structure of that Gaņa or Amśa. But if the remainder is 1 put down the first among them, i.e., SS; if it is 2, put down the 2nd, i.e., IIS, and so on. But when there is a remainder, add 1 to the sum every time before it is further divided by the figure under the next Amśa. Thus if the serial number is given as 41,996,966, divide it by 4 which is the figure under the 1st Gana or Amśa; the remainder is 2, so the structure of the Gana is IIS. Further, as there is a remainder, add 1 to the resultant and divide it by 5 which is the figure
30. See foot note No. 2 on p. 96 of the Text...
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