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: Egyptian fraction math only used quotient and remainder statements
Replies: 18   Last Post: Aug 31, 2012 9:23 AM

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: Egyptian fraction math only used quotient and remainder statements
Posted: Dec 16, 2011 2:55 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Updating this view: Many 20th century scholars diverted attention from scribal rational number conversion methods due to their lack of understanding of the scribal conversion of 5/19 in RMP 32 that reported

1 + 1/6 + 1/12 + 1/114 + 1/228

1. Ahmes may have converted 5/19 by an EMLR method

5/19 x (6/6) = 30/114 = (19 + 1)/114 + 10/114


5/57 x (12/12) = 60/684 = (57 + 3)/684 = 1/12 + 1/228

and recorded

1 + 1/6 + 1/12 + 1/114 + 1/228

This view was taken from the EMLR conversion of 1/8 and 1/16 by 25/25 and 6/6.

2. Ahmes likely only used 12/12 that converted 5/19 by:

1 + (5/19)x (12/12) = 1 + 60/228 = 1 + (38 + 19 + 2 + 1)/228 =

1 + 1/6 + 1/12 + 1/114 + 1/228

3. I'll be re-reading Ahmes' shorthand to validate the red auxiliary numbers that were recorded.

If (38 + 19 + 2 + 1) were cited, the second method would be confirmed.

Best Regards to all,

Milo Gardner


Date Subject Author
12/15/11
Read Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/16/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/16/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/16/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/17/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/17/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/18/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/19/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/20/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/21/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/22/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
12/23/11
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
1/3/12
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
1/3/12
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
1/6/12
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
1/9/12
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
1/19/12
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
2/10/12
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner
8/31/12
Read Re: Egyptian fraction math only used quotient and remainder statements
Milo Gardner

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.