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

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actual number if we ignore the accrued fraction of Ksha-
yāhās at the commencement of the Solar year. To make
amends for that default we have to add some number to
the numerator of the improper fraction which is going to
give us the number of the elapsed Kshayāhās during the
course of the year. The formula that is going to be used
to obtain the number of Kshayāhās during the elapsed
tithis is x/64 (1 + 1/702). This formula arises out of the
fact that there are 55739 Kshayāhas during 3562220 tithis,
so that for 64 tithis the number of Kshayāhās is equal to
(64 × 55739) / 3562220 = 3567296 / 3562220 = 1 + 5076 / 3562220 = 1 +
1 / (3562220 / 5076) = 1 + 1/702. Let the fraction of Kshayāha at
the commencement of the solar year, to be taken into
account be x ghatis i.e. x/60 of a tithis (for Kshayāhās are
are computed out of tithis) i.e. (x tithis) / 60. Let y be the
number of tithis elapsed after the commencement of the
solar year. Then to compute the Kshayāhās that ensue
after the commencement of the solar year upto the day
concerned during the course of the year, the formula to
be used is y/64 (1 + 1/702). To this we have to add (x tithis) / 60
as the balance of Kshāyāha at the commencement of the
solar year to be taken into acccount
(x tithis) / 60 = (x × 64) / (64 × 60) = (x × 64/60) / 60
Now, in computing the number of tithis which have
elapsed after the commencement of the Solar year, we
subtract Śuddhi from the number of tithis that have
elapsed after the beginning of the luni-Solar year. But