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

ALGEBRA GOES TO EUROPE FROM INDIA 195
having been followed in the tract of emendation,
after a sufficient interval to make further correction
requisite, by Durgāsinha and Mihira; who were again
succeeded after a further interval by Brahmagupta, son
of Jiṣṇu.
In short, says Colebrooke, Āryabhaṭa was founder of
one of the sets of Indian astronomers, as Puliśa, an
author likewise anterior to both Varāhamihira and
Brahmagupta, was of another : which were distingui-
shed by names derived from the discriminative tenets
respecting the commencement of planetary motions at
sunrise according to the first, but at midnight accord-
ing to the latter, on the meridian of Laṅkā, at the
beginning of the great astronomical cycle. A third
sect began the astronomical day, as well as the great
period, at noon.
Āryabhaṭa’s name accompanied the intimation which
the Arab astronomers (under the Abbasside Khalifs, as
it would appear,) received, that three distinct astro-

• nomical systems were current among the Hindus of
  those days : and it is but slightly corrupted, certainly
  not at all disguised, in the Arabic representation of
  it Arjabahar, or rather Arjabhar, (corrupted form of
  Āryabhaṭa). The two other systems were, first,
  Brahmagupta’s Siddhānta which was the one they
  became best acquainted with, and to which they apply
  the denomination of the sind-hind; and second, that of
  Arca, the Sun, which they write Arcand a corruption
  still prevalent in the vulgar Hindi.
  Āryabhaṭa appears to have had more correct notions
  of the true explanation of celestial phenomena than
  Brahmagupta himself, so says Colebrooke; who in a
  few instances, correcting errors of his predecessor, but
  oftener deviating from that predecessor’s juster views,
  has been followed by the herd of modern Hindu astro-
  nomers, in a system not improved, but deteriorated,
  since the time of the more ancient author.
  Considering the proficiency of Āryabhaṭa in astronomi-
  cal science, and adverting to the fact of his having