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

56 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,