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Topic: Math trick? Angst's Theorem??
Replies: 12   Last Post: Dec 4, 2012 8:33 AM

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pete

Posts: 190
Registered: 12/11/04
Re: Math trick? Angst's Theorem??
Posted: Dec 2, 2012 11:43 AM
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Wally W. wrote:
>
> On Sun, 02 Dec 2012 07:49:17 -0500, pete wrote:
>

> >Existential Angst wrote:
> >>
> >> Try this on a calculator/spreadsheet:
> >>
> >> Take sq rt of 10, to as many places as poss..
> >> Then take recip. What do you see?
> >> For the calculationally lazy:
> >> 3.162277660168 --> .3162277660168... !!!!
> >> Weird coincidence? Predictable??
> >> Angst's Theorem??

> >
> >
> >Take sq rt of N, to as many places as poss..

>
> N = 3:
>
> sqrt(N)= 1.7320508075689
>

> >Then take recip.
>
> 1/N = 0.57735026918963
>

> >What do you see?
>
> Nothing immediately interesting.
>
> When working in base-10, I see interesting things only when N is an
> integral power of 10.


0.3162277660168 being one tenth of 3.162277660168
isn't really interesting at all.

Just like
0.57735026918963 being one third of 1.7320508075689
isn't really interesting either.

--
pete



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