The Science of the Shulba: A Study in Early Hindu Geometry c16.39
The Science of the Śulba: A Study in Early Hindu Geometry c16.39
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c16.39
Thibaut supposes that Baudhāyana then proceeded in the following way: "One-eighth of 1393 = 174⅛; this multiplied by 7 = 1218⅞. Difference between 1218⅞ and 1224 = 5⅛. Dividing 174 (Baudhāyana takes 174 instead of 174⅛, neglecting the fraction as either insignificant or, more likely, as inconvenient) by 29 we get 6; subtracting from 6 its sixth part we get 5 and adding to this the eighth part of the sixth part of six, we get 5⅛. In other words: $1224 = ⅞ + 1/8.29 - 1/8.29.6 + 1/8.29.6.8 of 1393$ (due allowance made for the neglected ⅛)."¹