(London :  Kegan Paul, Trench, Trübner & Co.,  1910.)

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 ``` 374 ALBERUNPS INDIA. The rule of Paulisa. Criticism thereon. opponent." On the other hand, Brahmagupta praises Paulisa for what he does, since he does not differ from the book Smriti; for he subtracts 1200 from the 4800 years of the kritayuga, and diminishes the re¬ mainder still more and more, so as to get yugas which correspond with those of the Smriti, but yugas without samdhi and samdhydriisa. As regards the Greeks, we may notice that they have nothing like the tradition of the Smriti, for they do not measure time by yugas, manvantaras, or kalpas. So far the quotation from Brahmagupta, As is well known, there is no difference of opinion on the sum of the years of a complete caturyuga. There¬ fore, according to Aryabhata, the kaliyuga has 3000 divya years or 1,080,000 human years. Each two yugas has 6000 divya years or 2,160,000 human years. Each three yugas has 9000 divya years or 3,240,000 human years. There is a tradition that Paulisa in his Siddhdnta specifies various new rules for the computation of these numbers, some of which may be accepted, whilst others are to be rejected. So in the rule for the computation of the yugas he puts 48 as the basis and subtracts one- fourth of it, so as to get 36. Then he again subtracts 12, for this number is his hasis of subtraction, so as to get 24, and subtracting the same number a third time, he gets 12, These 12 he multiplies by 100, and the product represents the number of divya years of the yugas. If he had made the number 60 the basis, for most things may be determined by it, and had made one-fifth of it the basis of subtraction, or if he had subtracted from 60 consecutive fractions of the remaining number, first ^ = 12, from the remainder \ = \2, from the re¬ mainder I =12, and from the remainder \ — 12, he would have obtained the same result which he has found by his method (60-1 = 48, - 1 = 36, - J = 24, - |= 12), ```