A219022 Āryabhaṭa's sine table. (Also Aryabhata or आर्यभट.)

225, 449, 671, 890, 1105, 1315, 1520, 1719, 1910, 2093, 2267, 2431, 2585, 2728, 2859, 2978, 3084, 3177, 3256, 3321, 3372, 3409, 3431, 3438

Offset

1,1

Comments

A kardagia used to mean an arc of circle being the 96th part of the full circumference, that is 3°45' or 225 minutes, which is the arc the Hindus considered equal to its sine.

Each number in the table is called a jyapinda.

References

M. Davis, On the astronomical calculations of the Hindus, Asiatick researches, Asiatic Society (Calcutta, India), 1807, Vol. II, p. 245-249.

Links

Table of n, a(n) for n=1..24.

J. Playfair, On the trigonometry of the Brahmins, The works of John Playfair, 1822, Vol III, p. 256-276. (Originally published in 1798.)

Wikipedia, Āryabhaṭa's sine table

M. Woepke, Sur le mot kardaga et sur une méthode indienne pour calculer les sinus, Nouvelles annales de mathématiques, Sér. 1, 13 (1854), p. 386-394.

Crossrefs

Sequence in context: A216419 A246199 A147276 * A193003 A287298 A117246

Adjacent sequences: A219019 A219020 A219021 * A219023 A219024 A219025

Keyword

nonn,fini,full

Author

Michel Marcus, Nov 10 2012

Status

approved