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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: Dec 16, 2011 2:55 PM

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 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