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History of Hindu Mathematics: A Source Book v2.c17.s14.108

History of Hindu Mathematics: A Source Book v2.c17.s14.108

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v2.c17.s14.108

"Or, assuming 1 for the lesser root, we get for the additive 5 : l = 1, g = 4, (for) i = 5. Whence by the Principle of Composition of Equals, the roots are l = 8, g = 27, (for) i = 25. Then by the rule, 'If the interpolator (of a Square-nature) divided by the square of an optional number etc.,' taking 5 as the optional number, we get the roots for the additive unity : l = 8/5, g = 27/5, (for) i = 1. The statement of these for composition with the previous roots is {llll} m = II & l = 8/5 & g = 27/5 & i = 1 / & l = 3 & g = 10 & i = 1