Prev: Anti-Einsteiniana: Natural Philosophy Alliance?
Next: Computing Julia set of exp(z) to really high resolution
From: Aiya-Oba on 4 Jan 2010 17:09
(a/b)^2 = 2
Where a, is 44721359550, and b, is 31622776604.
- Aiya-Oba (Philosopher)

Such thant,

( 44721359550/31622776604)^2 = 2

= (1.414213562)^2 = 2
Q E D.
Pythagoras is vindicated.
-Aiya-Oba

From: bert on 4 Jan 2010 17:29
On 4 Jan, 22:09, Aiya-Oba <aaiya...(a)rcc.mass.edu> wrote:
> (a/b)^2 = 2
> Where a, is 44721359550, and b, is 31622776604.

Idiot. Even the Windows Calculator
program can show that for those values,
2b^2 - a^2 = 292603343132, which is
very far from zero.
--

From: porky_pig_jr on 4 Jan 2010 19:19
On Jan 4, 5:09 pm, Aiya-Oba <aaiya...(a)rcc.mass.edu> wrote:
> (a/b)^2 = 2
> Where a, is 44721359550, and b, is 31622776604.
>                                  - Aiya-Oba (Philosopher)
>
> Such thant,
>
> ( 44721359550/31622776604)^2   =    2
>
> = (1.414213562)^2  =  2
>                     Q E D.
> Pythagoras is vindicated.
>            -Aiya-Oba

Have you seen the postings from Invers19? You may be interested in
their results.
From: Philippe 92 on 4 Jan 2010 20:36
bert a �crit :
> On 4 Jan, 22:09, Aiya-Oba <aaiya...(a)rcc.mass.edu> wrote:
>> (a/b)^2 = 2
>> Where a, is 44721359550, and b, is 31622776604.
>
> Idiot. Even the Windows Calculator
> program can show that for those values,
> 2b^2 - a^2 = 292603343132, which is
> very far from zero.

and a little more shows :
63018038201 / 44560482149 < sqrt(2) < 26102926097 / 18457556052
is even much much more accurate that the Oba's approximation, which
is a very bad one in the order of N/D with N in the 11 digit range.

2x44560482149^2 - 63018038201^2 = 1 !!!
2x18457556052^2 - 26102926097^2 = -1 !!!

These values might have been calculated even before Pythagora's time
from an algorithm known by Babylonians !

Regards.

--
Philippe C., mail : chephip, with domain free.fr
site : http://mathafou.free.fr/ (mathematical recreations)


From: mike3 on 4 Jan 2010 21:53
On Jan 4, 3:09 pm, Aiya-Oba <aaiya...(a)rcc.mass.edu> wrote:
> (a/b)^2 = 2
> Where a, is 44721359550, and b, is 31622776604.
>                                  - Aiya-Oba (Philosopher)
>
> Such thant,
>
> ( 44721359550/31622776604)^2   =    2
>
> = (1.414213562)^2  =  2
>                     Q E D.
> Pythagoras is vindicated.
>            -Aiya-Oba

Note that 1.414213562 is NOT equal to sqrt(2).

1.414213562^2 = 1.999999998944727844 exactly.

1.999999998944727844 != 2.

Busted!
 |  Next  |  Last
Pages: 1 2
Prev: Anti-Einsteiniana: Natural Philosophy Alliance?
Next: Computing Julia set of exp(z) to really high resolution