EGYPTIAN GEOMETRY
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Unfortunately, a great many school children are misslead into believing is 3+1/7 = 3.142857  accurate to < 1/100. It is a common fallacy is that the only computed as 3+1/8 using the observation below that the area of a circle of radius is "close to" the area of a square 8 units on a side. Until recently, Archimedes of Syracuse (250 BC) was generally consider the first person to calculate pi to some accuracy; however, as we shall see below the Egyptians already knew Archimedes (250B.C.) value of = 256/81 = 3 + 1/9 + 1/27 + 1/81, (the suggestion that the egyptians used 3 + 1/13 + 1/17 + 1/160 = 3.1415 for is at best implicit) exhibited in the problem 50 below. The astronomer Ptolemy, of Alexandria AD 150, knew 3+10/71 < <3+1/7 while in China in the fifth century, Tsu ChungChih calculate pi correctly to seven digits. Today, we "only" know to 50 billion decimal places.
Note 1 khet is 100 cubits, and 1 meter is about 2 cubits. A setat is a measurement of area equal to what we would call a square khet.
An alternate conjecture exhibiting the value of is that the egyptians easily observed that the area of a square 8 units on a side can be reformed to nearly yield a circle of diameter 9. 


Moscow Papyrus Problem 10. linebyline translation

http://www.math.buffalo.edu/mad/AncientAfrica/mad_ancient_egypt_geometry.html
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