सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)

of days in a lunar month) multiplied by 36 × ²/₆₅ × ¹/₃₀
of an adhikamāsa, assuming that an adhikamāsa would
occur at the latest in 36 solar months. (In fact, an
adhikamāsa would occur on the average in 32½ solar
months, but we have taken 36 roughly as the maximum
figure in as much as the occurence of the Adhikamāsa
might be belated on account of the convention stipulated).
Thus the error would be 36 × 2 × ²/₆₅ × ¹/₃₀ = ¹/₁₃th of an
adhikamāsa at the maximum. Hence, we are directed not
only to construe that all the years elapsed to be solar but
also the subsequent lunations of the current luni-solar year
also to be solar months. Thus getting the number of
elapsed months from the beginning of the Kaliyuga, the
computation of the Adhikamāsas is formulated as follows.
If in the course of 51840000 solar months of the Yuga
there be 1593300 Adhikamāsas then during the elapsed
solar months x, what is the number of elapsed Adhika-
māsas? The result is
x × 1593300 x × 1593300
----------- = ---------------
51840000 796650

51840000

796650
= 2 × x
--------- . Since Bhāskara knows that there will be two
65-4-21
Adhikamāsas roughly in 65 solar months, he performed the
above operation. This shows that for every 65 solar months
roughly there occur two Adhikamāsas or more accurately
a little less than two Adhikamās. So, taking, in the first
instance 2/65 as the ratio of Adhikamāsas to the number
of solar months, Bhāskara tries to find as to what quantity
is to be subtracted from 2. That is found as follows. If
there be A adhikamāsas in s solar months what will be the
number of Adhikamāsas in x solar months? The result is
A x
--- . Again if there be two Adhikamāsas roughly in 65
s
solar months, how many will be there in x solar months?
2 x
The answer is --- . But we have seen about that the
65