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

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 Milo Gardner Posts: 1,105 Registered: 12/3/04
Re: Egyptian fraction math only used quotient and remainder statements
Posted: Feb 10, 2012 11:27 AM

The ancient hieratic method anticipated modern finite arithmetic. Kevin Brown in 1995 reported consistent scribal patterns without breaking out specific ancient details.

Scribal shorthand confused math historians for over 100 years. Ancient scribal shorthand omitted initial and intermediate notes thereby confusing historians. Adding back the missing initial and intermediate steps, a clear use of that LCM m method recorded rational numbers in multiplication context as discussed by:

http://rmprectotable.blogspot.com/

Kevin Gong and Kevin Brown reported aspects of ancient scribal patterns by applying modern mathematics. Kevin Gong's 1992 analysis demonstrated that 5/23 could have been scaled to 12/12 rather than the correct scribal scaling of 6/6 as Ahmes' method reported 30/138 = (23 + 6+1)/138 = 1/6 + 1/23 + 1/138. Kevin Brown's 1995 analysis went beyond Kevin Gong's work by demonstrating that scribal unit fraction patterns were consistent without reporting the meaning and purposes of scribal red auxiliary numbers and other shorthand notes.

references

1. Kevin Gong's 1992 paper

http://kevingong.com/Math/EgyptianFractions.pdf

2. Kevin Brown's 1995 analysis

http://www.mathpages.com/home/kmath340/kmath340.htm

Date Subject Author
12/15/11 Milo Gardner
12/16/11 Milo Gardner
12/16/11 Milo Gardner
12/16/11 Milo Gardner
12/17/11 Milo Gardner
12/17/11 Milo Gardner
12/18/11 Milo Gardner
12/19/11 Milo Gardner
12/20/11 Milo Gardner
12/21/11 Milo Gardner
12/22/11 Milo Gardner
12/23/11 Milo Gardner
1/3/12 Milo Gardner
1/3/12 Milo Gardner
1/6/12 Milo Gardner
1/9/12 Milo Gardner
1/19/12 Milo Gardner
2/10/12 Milo Gardner
8/31/12 Milo Gardner