The Science of the Shulba: A Study in Early Hindu Geometry c14.29
The Science of the Śulba: A Study in Early Hindu Geometry c14.29
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c14.29
On the other hand the above rule of Baudhāyana suggests that the truth of the theorem of the square of the diagonal was perceived and proved in the case of rational rectangles first; and it was then generalised and found to be true universally. This is perfectly natural. In support of this hypothesis may be cited the rule of Āpastamba and Kātyāyana for the calculation of the area of a square: