Date: Oct 4, 2012 3:09 PM
Author: Milo Gardner
Subject: Re: Why study Egyptian fraction math?
The primary purpose of the system corrected OK round-off errors whenever possible. Hieratic geometry problems corrected round-off errors that added-back rounded-off OK 1/64 units. MK scribes replaced radius R by semi-diameter D/2, and pi by 256/81 in area and cylinder volume problems and 1/64 and 1/320 hekat units. Round-off 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.
A secondary purpose assisted scribes by decentralizing the Egyptian economy in a new absentee landlord system. Exact grain, gold and silver weights units defined the monetary system that paid Pharaoh taxes at the rate of 1/3 of 1/3 percent of net profits. Egyptian finite arithmetic scaled rational numbers n/p by LCM m to a mn/mp in a multiplication context before recording weights and measure units in concise unit fraction series.