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History of Hindu Mathematics: A Source Book v2.c17.s14.106

History of Hindu Mathematics: A Source Book v2.c17.s14.106

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v2.c17.s14.106

Proceeding as before we obtain the roots for the additive 4 : l = 6, g = 20, (for) i = 4. Then by the rule, 'If the interpolator (of a Square-nature) divided by the square of an optional number etc.,'¹ are found the roots for the additive unity: l = 3, g = 10 (for) i = 1. Whence by the Principle of Composition of Equals, we get the lesser and greater roots : l = 60, g = 199 (for) i = 1. In this way an infinite number of roots can be deduced.