Mathematics in Ancient and Medieval India c5.s14.33

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c5.s14.33

These are arbitrary solutions, for how x = a and y = b were selected for solution of Ax² + 1 = y² is not clearly pointed out. However, a similar method of closer approximations to the value of surd was given by Euler¹ in 1732 A. D. Nārāyaṇa's method was not followed by Jñānarāja² ( 1503 A. D. ) who for approximating the value of √N, found the nearest perfect square a² to A and formed closer approximation as follows :

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