ब्राह्मस्फुटसिद्धान्त (ब्रह्मगुप्त - शून्य, कुट्टक, बीजगणित एवं सम्पूर्ण २१ अध्याय सान्वय सटीक)

92 BRĀHMASPHUṬASIDDHĀNTA & KHAṆḌAKHĀDYAKA should now be translated thus : "In this Mahāyuga when sixty times sixty years and three quarter yugas also had passed, twenty increased by three years had elapsed since my birth." Now Bhāskara I the author of the Mahābhāskarīya and the Lagubhāskarīya, wrote a commentary on the Āryabhaṭīya. The author commenting on this stanza observes that : "Or this was addressed by Āryabhaṭa when expound- ing the science to Pāṇḍuraṅgasvāmin, Lāṭadeva Niḥśaṅku and other pupils."¹ This direct pupil of Āryabhaṭa I also says that this stanza does not show that the Āryabhaṭīya was composed when Ārya- bhaṭa I was only 23 years old, but refers to the time when he probably began his career as a teacher of Astronomy. Senagupta out of his discussion concludes that we are not justified in accepting that the Āryabhaṭīya was composed when Āryabhaṭa was only 23 years of age. This treatise as it exists in the present form must have been the composition of a mature age; it is a treatise highly finished in form; the date mentioned in this great work refers to a date when its author became a reputed guru or teacher. Alberuni and Brahmagupta Dr. E.C. Sachau in his translation of Alberuni's India (vol. II, p. 304) speaks of Brahmagupta in the following words : Brahmagupta holds a remarkable place in the history of Eastern civilization. It was he who taught the Arabs astronomy before they became acquainted with Ptolemy; for the famous Sindhind of Arabian litera- ture, frequently mentioned but not yet brought to light, is a translation of his Brahmasiddhānta; and the only other book on Indian astronomy, called Atarkand, which they knew, was a translation of his Khaṇḍa- khādyaka. Brahmagupta, the celebrated author of the Brāhmasphuṭa- siddhānta, has another great work as we have said before to his credit which goes by the name Khaṇḍakhādyaka. This has

1. एतदेवाचार्य्यार्य्यभटस्य शास्त्रव्याख्यान समये वा पाण्डुरङ्गस्वामिलाटदेवनिःशङ्कुप्रभृतिभ्यः प्रोवाच ।