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Re: Prime numbers and pi
Posted:
Apr 23, 2009 9:41 AM
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Franz,
Please identify arithmetic identities in the form that Ahmes and Egyptian scribes used the term.
You have improperly identified the Horus-Eye binary series, used by Ahmes within multiplication proofs.
To be specific, as scholars in the 20th century mulddled Ahmes 'ab initio' calculations, Ahmes clearly used optimized LCM multipliers (b/b) in the form of a = a(b/b) = ab/a (http://rmprectotable.blogspot.com/ ).
For example, Ahmes consistently converted 2/97 to an optimized unit fraction series by selecting the LCM 56 written as 56/56 such that:
2/97(56/56) = 112/5432 = (97 + 8 + 7)/5432 =
1/56 + 1/679 + 1/776
the 250 year older EMLR used non-optimized LCMs in the form of b/b,
(http://en.wikipedia.org/wiki/Egyptian_Mathematical_Leather_Roll) .
For example 1/8 was converted by three different LCMs 3, 5 as practice, the largest being 25, assisted by 6, such that:
1/8*(25/25) = 25/200 = (8 + 17)/200 = 1/25 + 17/200
with,
17/200*(6/6) = 102/1200 = (80 + 16 + 6)
= 1/15 + 1/75 + 1/200
hence an out-of-order series indicated a 2-phase method:
1/8 = 1/25 + 1/15 + 1/75 + 1/200 (line 8)
Best Regards,
Milo Gardner
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