Mathematics in Ancient and Medieval India c8.186

c8.186

The formulae was perhaps taken up by Āryabhaṭa I. Govindasvami in his commentary on the *Mahābhāskarīya*¹ of Bhāskara I) and Nīlakaṇṭha in his *Tantrasaṃgraha* (1500 A. D.) added some corrections on the *Jyā* values given by Āryabhaṭa I, which present astonishingly accurate table of Sines (correct upto five places of decimals, vide table II). The Sine table given by other scholars namely, Brahmagupta, Śrīpati, Āryabhaṭa II, Bhāskara II, etc. is no improvement over that of Govindasvamī (c. 800–850 A. D.) How the author of the *Sūryasiddhānta* arrived at the rule is not very clear. The result of *Sūryasiddhānta* is correct if Sin h of the denominator of the last expression is replaced by 4 Sin² h/2.