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History of Hindu Mathematics: A Source Book v2.c17.s23.18

History of Hindu Mathematics: A Source Book v2.c17.s23.18

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v2.c17.s23.18

It will be noticed that the equations (1) follow from (2) on putting w = z/2n. So we shall take the latter as our fundamental assumption for the solution of the equations (*i*) and (*ii*). Then, from the solutions of the subsidiary equations $(4m⁴ + n⁴)w² 1 = x²,$ by the method of the Square-nature, observes Bhâskara II, an infinite number of integral solutions of the original equations can be derived.¹