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

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The remaining fraction = 0-0-22-7½ = 0-0-(22 + 15/2 × 1/60)
= 0-0-22⅛ = 0 — 177/8 × 1/60 = 0 — 59/160 = (60 — 1) / (160 × 60)
day = 1/160 — 1/(60 × 160) = 1/160 (1 — 1/60) ; hence for x
years x/160 (1 — 1/60)
Adding the two we have the required formula.
Verse 5. To obtain the elapsed number of Adhikamā-
sās and what is called Suddhi.
The sum of the Dinādya, Kshayāhādya and ten times
the number oi elapsed years divided by 30, gives the num-
ber of the elapsed Adhikamāsas; the remainder is known as
Suddhi if diminished by the fraction of the Kshayāhas.
Comm. The number of mean solar days in an year is
365-15-30-22-30; the Kshayāhās in an year are 5-48-22-7-30;
adding the two we have the number of tithis in an year
equal to 371-3-52-30. The number of solar days being 360,
the number of tithis which constitute the Adhimāsas is
equal to 11-3-52-30. The sum of the Dinādya and Ksha-
yāhādya in an year = 0-15-30-22-30 + 0-48-22-7-30 =
1-3-52-30. Hence the above number of tithis which cons-
titute the Adhimāsas namely 11-3-52-30 = 10 + Sum of
Dinādya and Kshayāhādya pertaining to an year. Hence
for x years, the Adhimāsa days are equal to x × 10 + Sum of
Dinādya and Kshāhādya for x years. These Adhimāsa days
divided by 30 give the Adhimāsas, and the remainder is
called Suddhi, so called because while finding the Abargaṇa
from the beginning of a solar year, this remainder has to be
subtracted. Why the fraction of Kshayahas, which is there
in this Suddhi is prescribed to be subtracted, will be explai-
ned in another context.
Verse 6. An alternative method to find the Adhimā-
sas. The number of years divided separately by 32 and 30,