The Science of the Shulba: A Study in Early Hindu Geometry c20.s5.16
The Science of the Śulba: A Study in Early Hindu Geometry c20.s5.16
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c20.s5.16
A nearly equivalent formula will be obtained by proceeding in the following way: From the given rectangle A, cut off the square (S) of side a each. Let the area of the remaining portion of the rectangle be r. From this cut off two strips I and II of the same breadth r/(2a+1) and arrange them as in Fig. 78. Then the area of the strip of the rectangle still left over will be $= r - 2a × r/(2a+1) = r/(2a+1).$