194 Dr. G. Tliibiint — On flip Surifrrprajmjyti. [No. 4, 



have to deduct from the muhurtas found the extent of all the nakshatras 

 through which tlie moon has passed one after the other, until the sum would 

 be exhausted. Thus, for instance, if we wanted to find the place of the 

 moon at the third new moon after the beginning of the yuga, the constant 

 5 1 



quantity 66 + - + — — would have to be multiplied by 3, so 



15 3 



that we should have 198 + — + — = muhurtas. Now the moon 



62 b2 X 67 



standing at the new moon preceding the beginning of the yuga in Puuar- 



46 



vasu, of which she has still to pass through 22 — muhurtas, we should 



10 2 



have to deduct this last quantity from 122 + + gy '■> fi'om the 



remainder we should have to deduct 30 muhurtas (the extent of Pushya) ; 

 from the remainder again 15 (i^slesha) ; again from the remainder 30 

 (Magha), and so on, until in the end the fact of the remainder being 

 smaller than the next following nakshatra would show that new moon takes 

 place in that nakshatra. — In order, however, to shorten this somewhat 

 lengthy process, certain subtrahends are formed out of the sura of the extent 

 of several nakshatas, which materially alleviate the work ■ by substituting 

 one subtraction for a number of subtractions. Thus with reference to new 

 moon — the subtrahend (sodhanaka) for Uttara-phalguni is said to be 172, 

 for Visakha 292, for Uttara-ashadha 442 ; i. e., if from the product of the 

 constant quantity by the number of the new moon 172 can be deducted, 

 we see at once that the moon has advanced beyond Uttara-ashadhah ; if 292 

 can be deducted, she has passed the limits of Visakha and so on. The sub- 

 trahends are not carried on from Punar-vasu beyond Uttara-ashadha, but 

 make a fresh start from Abhijit, apparently in order to make them available 

 for the calculation of the places of the full moons too. Thus tlie subtrahend 

 for Abhijit is 9 and a fraction, of Uttara-bhadrapada 159, of Eohini 309, 

 of Punarvasu 399, of Uttara-phalguni 549, of Visakha 669,' of Miila 744, 

 of Uttara-a.shadha 819. 



The places in which the different full moons of the yuga occur are 

 found by an exactly similar proceeding ; only all calculations have to start 

 not from Punarvasu, but from the beginning of Abhijit where the first full 

 moon which coincides with the beginning of the yuga takes place. The 

 text enumerates the places of all full moons and new moons of the yuga at 

 length, carrying in each case the calculations down to sixty-sevenths of 

 sixty-seconds of muhiirtas. It is needless to reproduce these lists here in 

 extenso, as any place wanted can be calculated with ease from the general 

 rule given above. 



