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

52 PERSONAL REFERENCES OF BRAHMAGUPTA Reference to Āryabhaṭa We have said that it appears that Brahmagupta was a bitter opponent of Āryabhaṭa in his younger days (628 A. D.), but later on (in 665 A. D.), he climbed down to describe and teach one of the Āryabhaṭa's system of astronomy. Āryabhaṭa was universally revered. and it was difficult for Brahmagupta to have ignored him and thus he has to refer to this great authority some times to oppose some of his views and some times to expound his views. The following are the pasages in the Brahmasphuṭasiddha- nta, where the author has referred to the name of Āryabhaṭa. There are many other passages where the name "Aryabhaṭa" does not occur but where Brahmagupta indirectly means to quote the views of this great master. BrSpSi. I. 9. 12. 28. 32. 60. 61 ; II. 33. 46; V. 21.25; VI. 13; IX.10; XI. 4. 9. 10. 12. 25. 29. 33. 41. 42. 43. 44, 46, 47. 49, 62; XIII, 27; XIV. 45; XVI. 37. 46; XXI. 39. The largest references are in Chapter XI, where Brahmagupta has made an attempt to show the discrepancies of the Āryabhaṭī- aya system of reckoning astronomical observations and constants. In the Khaṇḍakhādyaka also there is a reference to the name of Āryabhaṭa but on very few occasions. In Chapter I, we have this reference at three places- Having made obeisance to God Mahādeva, who is the great cause of this world's rise (i.e. creation), existence and destruc- tion, I shall declare the Khaṇḍakhādyaka (i.e. a short treatise on astronomy, which is as pleasant as food prepared with sugarcandy), which will yield the same results as the great astronomical treatise of Āryabhaṭa. As in most cases calculation by the great work of Āryabhaṭa, for (the know- ledge of time and longitude of planets etc. at ) marriage, nativity and the like, is impracticable for common use every day, this smaller treatise is made so as to yield the same results as that. ¹

1. प्रणिपत्य महादेवं जगदुत्पत्तिस्थितिप्रलयहेतुम् । वक्ष्यामि खण्डखाद्यकमाचार्य्यार्य्यभट तुल्यफलम् ॥ प्रायेणार्य्यभटेन व्यवहारः प्रतिदिनं यतोऽशक्यः । उद्वाहजातकादिषु तत्समफललघुतरोक्तिरतः ॥ —KK. I, 1-2