
Re: Why study Egyptian fraction math?
Posted:
Oct 4, 2012 9:38 AM


MIDDLE KINGDOM MATH: After 2050 BCE Egyptian Middle Kingdom (MK) math system was written in hieratic script, a fresh notation system that solved secular math problems. Hieratic numerals were mapped onetoone onto sound symbols. The new Egyptian fraction system was finite. Hieratic math published new numeration and a new arithmetic systems that were developed in the OK. The ciphered numeration system solved arithmetic, algebra, algebraic geometry, and weights and measure that corrected OK binary roundoff errors representations of rational numbers whenever possible. Hieratic geometry problems corrected roundoff errors that added back missing OK 1/64 units. MK scribes replaced radius R by semidiameter D/2, and pi by 256/81 in area and cylinder volume problems and 1/64 and 1/320 hekat units. Roundoff errors seemed uncorrected related to the poor pi approximation* (3.16). In other cases MK arithmetic, algebraic geometry and weights and measures methods exactly scaled hekat units (of grain) and smaller 1/320 units of beer, bread, domesticated fowl, and grain based wage payments.

