The approximation of " & pi; " was achieved by squaring a circle, increasingly ( i . e . for the denominator in terms of setats : 9, 18, 36, 72, and 81, Gillings, page 141 ) until the vulgar fraction 256 / 81 was reached, the only relationship that was used in the Egyptian Middle Kingdom.
32.
For example, Ahmes divided 28 by 97, in RMP 31 ( confirmed in RMP 34 ) by solving : x + ( 2 / 3 + 1 / 2 + 1 / 7 ) x = 33 and x + ( 2 / 3 + 1 / 2 + 1 / 7 ) x = 37 as other vulgar fraction problems were solved in the Kahun Papyrus and Rhind Papyrus 2 / n tables.
