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

334 ness resulting as follows. Let M/N be a fraction to which m/n is a convergent having small numbers as numerator and denominator, so that M/N is taken to be equal to m/n (1 + 1/λ). Thus M/N = m/n (1 + 1/λ) or Mn = Nm (1 + 1/λ) ∴ Mn − Nm = Nm/λ or λ = Nm / (Mn − Nm). In the present case M is the number of Adhikamāsas, and N the number of solar months. m/n if taken to be 2/65 − 2 × Solar months ∴ In this case λ = -------------------------------------------------- 65 × Adhikamāsas − 2 × Solar months which is indicated in the commentary by Bhāskara. In this context, it may be mentioned that a Karaṇa- grantha named Nārasiṁha based upon Sūryasiddhānta (A Karaṇagrantha is a manual according which the Hindu calendar is computed with easy numbers without under- going the laborious process indicated in the treatises called Siddhāntas like the present Siddhānta Śiromaṇi. In these Karaṇagranthas, instead of taking the beginning of the Kalpa or Mahāyuga or the Yuga, as the epoch, a recent date ie. the date of the author of the Karaṇagrantha is taken as the epoch, and processes using approximations are adopted for the sake of ease. Naturally therefore these Karaṇas (as they are also called) get easily obsolete within the course of a few hnudreds of years so that a fresh Karaṇa is called for preparation, if the calculations were to accord with the Siddhāntas which those Karaṇas pro- fess to follow. In fact, the present Karaṇa of Nārasiṁha written in 1333 Śaka year ie. in 1411 A.D. declares that a previous Karaṇa named Tithicakra reported to have been written by one Mallikārjuna Suri grew obsolete and