1880.] 



Dr. G. Tliibaufc — On the Suryaprajnapti. 



199 



that her next progress towards the south takes place exactly on the same 

 spot on which the sun was standing at the beginning of the yuga. At all 

 following lunar avrittis the places of the two first ones of course recur. 



Incidentally another rule is mentioned which certainly was of frequent 

 apj^lication, viz., how to find on what natural day and at what moment of 

 time during that day a given tithi terminates. The rule which is contain- 

 ed in an old karana-gatlia is of course very simple. Add together all tithis 

 which have elapsed from the beginning of the yuga up to and including the 

 tithi in question ; divide this sum by sixty-two ; multiply the remaindei' by 

 sixty-one and divide again by sixty-two. The remainder is then the wanted 

 quantity. The first division by sixtj'^-two has the purpose to shew by its 

 quotient — the number of complete avamaratras elapsed since the beginning 

 of the yuga ; this number has therefore to be deducted from the number of 

 tithis elapsed. The remainder of the above division shows the number of 

 tithis which have elapsed since the occurrence of the last avamaratra ; to 

 find by how much they remain behind the same number of natural days, 

 they are multiplied by Gl and divided by 62 (61 natural days = 62 tithis) ; 

 the remainder then indicates hoAV many sixty-second parts of the current 

 natural day have elapsed at the moment when the tithi in question termi- 

 nates. 



Another old rule has the purpose of teacMng how to find the number 

 of muhurtas which have elapsed on the parvan-day at the moment when 

 the new parvan begins. When the number of the parvan divided by four 

 yields one as remainder (in which case it is called taly-oja) we must add 

 ninety-three to it ; if divided by four it yields two (in which case it is 

 called dvapara-yugma), we add sixty-two to it; if it yields three (treta-oja), 

 we add thirty-two ; if there is no remainder (krita-yugma), we add nothing. 

 The sum which we obtain in each case is halved, then multiplied by thirty, 

 finally divided by sixty-two. The quotient shows the number of muhiirtas 

 of the parvan-daj' which have elapsed at the moment when the new parvan 

 begins. The rationale of this rather ingenious rule is as follows. The 



duration of one parvan is 1-1 days. The first parvan therefore termi- 



124! 



, , 91 , ^, , 91 X 30 47 X 30 , , , , 



nates when — - or the day = = muhurtas have elaps- 



J21 ^ 121 62 ^ 



ed. The number 91 may be obtained by adding 93 to 1, the number of 



tlie first 23arvan. The second parvan ends 29 days after the beginning 



of the yuga ; 61 equals 62 -f 2, the number of the second parvan. The 



3-1 



third parvan terminates 11 -— ■ days after the beginning of the yuga; 31 



