
Re: Open University's Egyptian math online 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 online 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
Comments will be appreciated.
Best Regards,
Milo Gardner

