Mathematics in Ancient and Medieval India c7.s5.28

c7.s5.28

The cryptic Sanskrit terms *agrāntare kṣiptam* used by Āryabhaṭa I in the rule has been explained by his commentator Bhāskara I (c.600 A.D.) in his *Āryabhaṭīyabhāṣya* as *sameṣu kṣiptam, visameṣu, śodhyam*, i.e. add (the *kṣepa* quantity, c) when n=even, and subtract when n=odd." Since the ratio u/v was always used to determind the (n-1) th convergent, the *kṣepa* quantity c was to be added or subtracted according as the number of partial quotents arranged in Table I & II are odd and even. Suppose the process of division was stopped at remainder r₃