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The Science of the Shulba: A Study in Early Hindu Geometry c20.s3.3

The Science of the Śulba: A Study in Early Hindu Geometry c20.s3.3

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c20.s3.3

five equal parts and place them about the square just formed. Then introducing a small square at the corner another complete square of sides equal to $1 + ⅔ + 1/3.5$ each will be formed. But this is clearly too large by the amount (1/3.5)². So for closer approximation, let the side of the new square be diminished by an amount y, such that $2y ( 1 + ⅔ + 1/3.5 ) - y² = ( 1/3.5 ).$