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Topic: RMP # 48
Replies: 70   Last Post: Jul 23, 2010 8:57 AM

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 Milo Gardner Posts: 1,105 Registered: 12/3/04
Re: RMP # 48
Posted: Oct 4, 2007 11:51 AM

Lee,

Sylvia's MMP paper is not available on Historia Mathematica pages, at least as I scanned its tables of contents going back to 1987. Gee, my memory must be fading.

On a positive note, a general review of the RMP and MMP as mathematical documents is provided by:

http://www.iusb.edu/~journal/2000/zahrt.html

The issue of theoretical geometry is posed. I would also like to add the issue of theoretical arithmetic. My view is that theoretical arithmetic is present in Middle Kingdom texts, beginning with the Akhmim Wooden Tablet, and its use of a hekat defined as 64/64, and exactly partitioned into quotients and scaled remainders.

I can not answer the theoretical geometry question, the mathematical question that is posed when 'sacred' geometry is introduced.

My view is that, prior to the building of the pyramids, and the obvious theoretical and practical geometric construction issues, the "Book of the Dead" tradition focuses on the balance beam, first operated by binary weights to weigh the heart. At the beginning of the Old Kingdom, binary weights could not have exactly weighed every heart.

To solve the Horus-Eye number aspect of balance beam weights, any possible weight must be available, much as the Akhmim Wooden Tablet scribe went beyond binary quotients to find any needed Egyptian fraction remainder, scaled to ro, 1/320 of a hekat.

Returning to the theoretical geometry issue, I know of no Old Kingdom or Middle Kingdom text that clearly sets out statements, calculations, and proofs that are equivalent to the arithmetic statements, calculations and proofs presented in the five Akhmim Wooden Tablet division of a hekat problems.

Best Regards,

Milo Gardner

ps: When I find the location of Sylvia Couchard's MMP treatise, I'll post it here.

Date Subject Author
9/30/07 L. Cooper
10/1/07 Franz Gnaedinger
10/1/07 L. Cooper
10/1/07 Milo Gardner
10/1/07 L. Cooper
10/2/07 Milo Gardner
10/3/07 Milo Gardner
10/3/07 L. Cooper
10/3/07 Franz Gnaedinger
10/4/07 Milo Gardner
10/4/07 Milo Gardner
10/4/07 Milo Gardner
10/4/07 Milo Gardner
10/4/07 Milo Gardner
10/4/07 Milo Gardner
10/4/07 L. Cooper
10/5/07 L. Cooper
10/5/07 Milo Gardner
10/6/07 L. Cooper
10/6/07 Franz Gnaedinger
10/6/07 Milo Gardner
10/6/07 L. Cooper
10/6/07 Franz Gnaedinger
10/6/07 Milo Gardner
10/7/07 Franz Gnaedinger
10/7/07 Milo Gardner
10/7/07 Franz Gnaedinger
10/7/07 Milo Gardner
10/8/07 Franz Gnaedinger
10/8/07 Milo Gardner
10/8/07 Franz Gnaedinger
10/8/07 Milo Gardner
10/9/07 Franz Gnaedinger
10/9/07 L. Cooper
10/10/07 Franz Gnaedinger
10/11/07 Franz Gnaedinger
10/11/07 L. Cooper
10/12/07 Franz Gnaedinger
10/12/07 Franz Gnaedinger
10/12/07 L. Cooper
10/13/07 Franz Gnaedinger
10/13/07 L. Cooper
10/13/07 Franz Gnaedinger
10/15/07 Franz Gnaedinger
10/18/07 Ed Wall
10/19/07 Franz Gnaedinger
10/20/07 Milo Gardner
12/5/07 Milo Gardner
12/14/07 Franz Gnaedinger
12/14/07 Milo Gardner
12/14/07 Milo Gardner
10/11/07 Milo Gardner
10/12/07 L. Cooper
10/12/07 Milo Gardner
10/13/07 L. Cooper
7/11/10 Dioxippus
7/12/10 Milo Gardner
7/20/10 Dioxippus
7/21/10 Milo Gardner
7/21/10 Dioxippus
7/21/10 Milo Gardner
7/23/10 Dioxippus
7/23/10 Milo Gardner
10/6/07 Hossam Aboulfotouh
10/8/07 Milo Gardner
10/11/07 Hossam Aboulfotouh
10/12/07 Milo Gardner
10/13/07 Hossam Aboulfotouh
10/13/07 Hossam Aboulfotouh
10/19/07 Hossam Aboulfotouh
10/27/07 Matt Hugh