
Re: RMP # 48
Posted:
Jul 21, 2010 3:33 PM


Wikipedia links MMP 10 and the hekat per:
http://en.wikipedia.org/wiki/Hekat_%28volume%29
"The hekat measurement unit, and its double entry accounting system, was found beyond the Rhind Mathematical Papyrus. Another text was the Ebers Papyrus, the best known medical text. The hekat unit was defined, in terms of its volume size, in the Moscow Mathematical Papyrus by MMP #10, by approximating pi to around 3.16. 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. The MMP scribe found the surface area of a basket equal to: (8d/9)^2 = 64d^2/81, within a cylinder relationship to the hekat. MMP 10 data meant that d = 2 defined pi for use in hekat volumes as 256/81. The 256/81 approximation was also used by Ahmes and other scribes. The ancient Egyptian weights and measures discussion further shows that the hekat was 1/30th of a royal cubit^3, an analysis that needs to double checked, against the d = 2 suggestion, which means that r = 1, a suggestion that does make sense. 1 royal cubit of the Ancient Egyptian weights and measures = 523.5 millimeters. ((523.5 mm)^3) / 30 = 4.78221176 liters."
Need additional info?
Best Regards,
Milo Gardner

