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: Egypttian and Greek sqare root
Replies: 9   Last Post: Dec 13, 2012 8:17 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: Egypttian and Greek sqare root
Posted: Nov 30, 2012 8:17 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Working with someone this write up was found in one week..

http://planetmath.org/encyclopedia/EgyptianAndGreekSquareRoot.html

Expanded demonstrations of two Q.E.D. proofs are seriously needed. The first expands a common Egyptian and Greek rational number system recorded in concise unit fraction series. The second expands square root examples also recorded in concise unit fraction series.

On the rational number level n/144, n/145, n/146 and a few other table of unit fraction series calculations will be discussed. The n/144 table will be easy, 2/144 = 1/72, 3/144 = (2 + 1)/144 = 1/72 + 1/144 and so forth. The n/p cases will show that divisible denominators were created by LCM m as Ahmes created his 2/n table.

On the square root level, the square root of 144 = 12; the square root of 145 began with (12 + 1/25)^2 with a rational error EI = 21/625; increased 1/24 by 1/625 to 1/24 such that (12 + 1/24)^2 found an irrational error E2 = (1/24)^2, following the method used to solve the square root of 164. About a half dozen of these example betweem 144 and 169 will be shown.



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.