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

61 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