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