Page:Aryabhatiya of Aryabhata, English translation.djvu/40

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10
ĀRYABHAṬĪYA

Here and elsewhere in the Daśagītika words are used in their stem form without declensional endings.

Lalla (Madhyamādhikāra, 3-6, 8) gives the same numbers for the revolutions of the planets, and differs only in giving "revolutions of the asterisms" instead of "revolutions of the Earth."

The Sūryasiddhānta (I, 29-34) shows slight variations (see Pañcasiddhāntikā, pp. xviii-xix, and Kharegat[1] for the closer relationship of Āryabhaṭa to the old Sūryasiddhānta).

Bibhutibhusan Datta,[2] in criticism of the number of revolutions of the planets reported by Alberuni (II, 16-19), remarks that the numbers given for the revolutions of Venus and Mercury really refer to the revolutions of their apsides. It would be more accurate to say "conjunctions."

Alberuni (I, 370, 377) quotes from a book of Brahmagupta's which he calls Critical Research on the Basis of the Canons a number for the civil days according to Āryabhaṭa. This corresponds to the number of sidereal days given above (cf. the number of sidereal days given by Brahmagupta [I, 22]).

Compare the figures for the number of revolutions of the planets given by Brahmagupta (1, 15-21) which differ in detail and include figures for the revolutions of the apsides and nodes. Brahmagupta (I, 61)

akṛtāryabhaṭaḥ śīghragam indūccaṁ pātam alpagaṁ svagateḥ । tithyantagrahaṇānāṁ ghuṇākṣaraṁ tasya saṁvādaḥ ॥

criticizes the numbers given by Āryabhaṭa for the revolutions of the apsis and node of the Moon.[3]

  1. JBBRAS, XVIII, 129-31.
  2. BCMS, XVII (1926), 71.
  3. See further Bragmagupta (V, 25) and Alberuni (I, 376).