History of Hindu Mathematics: A Source Book v2.c17.s17.t4.23
History of Hindu Mathematics: A Source Book v2.c17.s17.t4.23
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v2.c17.s17.t4.23
Taking m=2ν², we can derive Matsunago's (*c.* 1735) solution of z²=x²+by², *viz.*, \begin{align*} x &= b\mu²-\nu², \\ y &= 2\mu\nu, \\ z &= b\mu²+\nu²; \end{align*} where μ, ν are arbitrary integers.