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Topic: Open University's Egyptian math on-line class
Replies: 35   Last Post: Apr 6, 2010 10:46 PM

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 Milo Gardner Posts: 1,105 Registered: 12/3/04
Re: Open University's Egyptian math on-line class
Posted: Nov 10, 2008 4:09 PM

Open University;s Egyptian math discussion group mentions the following: Three recent Russian math encyclopedia entries may be of interest to Open University's Egyptian math readers, plus a blog and a Wikipedia review of red auxiliary numbers. The five links discuss Egyptian fractions in a fresh analytical manner. The Russian entries were published on-line by Springer a few years per, with the first entry being:

http://eom.springer.de/a/a011920.htm

suggesting that a LCM form may have been known to Ahmes by writing out

3/11 = 1/6 + 1/11 + 1/66

by converting 3/11 times (6/6) = (18/66) = (11 + 6+ 1)/66 = 1/6 + 1/11+ 1/66

As many are aware Ahmes used red auxiliary numbers, an idea that has long been associated with LCMs.

The second Russian entry only mentions modern LCMs per:

http://eom.springer.de/F/f041200.htm

and therefore did not hypothetically attempt to make an ancient leap back in time. Had a formal hypothesis been offered academic discussions set in an interdisciplinary context may be proven by following the modern logic offered by the Russian encyclopedia entries.

A third Russian entry generally used an ancient aliquot fraction or ratio idea (Russian terms for red auxiliary numbers) without identifying a hypothetical use of ancient LCMs per:

http://eom.springer.de/A/a013260.htm

Note the straight forward modern and ancient arithmetic that easily fills in Ahmes use of red auxiliary LCMs per:

http://rmprectotable.blogspot.com/

and,

http://en.wikipedia.org/wiki/Red_auxiliary_numbers

Best Regards,

Milo Gardner

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