Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » Inactive » math-history-list

Topic: Why study Egyptian fraction math?
Replies: 20   Last Post: Nov 20, 2012 9:25 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Milo Gardner

Posts: 1,105
Registered: 12/3/04
Re: Why study Egyptian fraction math?
Posted: Oct 10, 2012 6:45 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Three texts, the Moscow Mathematical Papyrus (MMP), the Kahun Papyrus(KP) and the Rhind Mathematical Papyrus (RMP) encoded areas a circle (A), and volumes (V) of a circle, by naming height (H) of circle granaries by the same meta formulas:

A = pi(R)(R) = (2567/81)(D/2)(D/2)

A = (8/9)(D((8/9)(D) cubits (algebraic algebra formula 1.0)

replaced radius (R) with diameter (D/2) and pi by 256/81 (an easy to manipulate number) in

V = (H)(8/9)(D)(8/9)(D) cubits (algebraic algebra formula 2.0)

V = (3/2)(H)(8/9)(D)(8/9)(D) Khar (algebraic algebra formula 2.1)

V = (2/3)H(4/3)(D((4/3((D) Khar (algebraic algebra formula 2.2)

derived from scaling algebraic formula 2.1 by 3/2 considering

(3/2)V =(3/2)(3/2)(H)(8/9)(D)(8/9)(D) = (H)(4/3)(D)(4/3)D) and multiplying both sides by 2/3

in a finite economic context.

(working links add depth to the MMP,KP, RMP and the economic context of Middle Kingdom Egyptian fractions are found in the first thread)



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.