1884.] G. Tliibaut —Vardlia Mihira^s FanchasiddlidntiJcd. 
267 
tion about tlie yuga acknowledged by tbe Siirya Siddhanta as known to 
Varaba Mihira. 
“ According to tbe Surya Siddbanta there are in 180,000 years 
66,389 intercalary montbs and 1,045,095 omitted lunar days.” 
Comparing these statements with those to be found on tbe same 
point in the hitherto known Surya Siddhanta, we observe of course at 
once that the Pahchasiddhantika, as was to be expected from a karana- 
grantha, employs reduced numbers. The known Surya Siddhanta gives 
the corresponding figures for a mahayuga of 4,320,000 years of which period 
the 180,000 years of the Panchasiddhantika are the twenty-fourth part. 
We therefore multiply the 66,389 intercalary months by 24 and find that 
the product 1,593,336 agrees with the figure which the Siirya Siddhanta 
(I. 38) gives for the intercalary months. We, however, meet with a 
discrepancy when comparing the two statements regarding the number 
of the omitted lunar days. The Siirya Siddhanta (I. 38) assumes the 
number of omitted lunar days in one mahayuga to be 25,082,252, while 
the number stated above, 1,045,095, multiplied by 24 gives as product 
25,082,280, which figure exceeds the former one by 28. If we now 
proceed to deduce from the above statements about the nature of 
the yuga of the Siirya Siddhanta as known to Yaraha Mihira the 
length of the sidereal solar year (by calculating according to the 
known Indian fashion the number of the tithis of the entire yuga, 
deducting from it the tithikshayas and dividing the remainder by 
the number of solar years) we obtain as the result 365*^ 6^ 12' 36''; while 
the length of the year of the known Siirya Siddhanta, in accordance 
with the smaller number of the omitted lunar days, amounts to a little 
more, viz., 365^^ 6^ 12' 36’56". The discrepancy is a slight one, but it 
suffices to show that the Siirya Siddhanta which Yaraha Mihira had 
before himself was different from the one known to us. It might perhaps 
be objected that the discrepancy is only an apparent one, Yaraha Mihira 
having slightly changed one of the numbers of the Siirya Siddhanta in 
order to be able to reduce all numbers more considerably and thereby 
to establish more convenient rules for calculation. That the karana 
writers are in the habit of proceeding in that manner is well-known, and 
we shall see later on that Yaraha Mihira submits in certain cases the 
exact numbers to certain alterations. The present case, however, is of 
a different nature. The passage about the yuga of the Siirya Siddhanta 
is not an independent rule, in the formulation of which the writer might 
have allowed himself certain liberties, but a mere statement reproducing 
