The Science of the Shulba: A Study in Early Hindu Geometry c20.s2.14

c20.s2.14

I, II and III. Sub-divide the last strip into three small squares III₁, III₂, III₃ of sides ⅓ each. Then on placing II and III₁ about the first square S in the positions II' and III'₁, a new square will be formed. Now divide each of the portions III₂ and III₃ into four equal strips. Placing four and four of them about the square just formed, on its east and south sides, say, and introducing a small square at the south-east corner, a larger square will be formed, each side of which will be obviously equal to $1 + ⅓ + 1/3.4 .$