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Re: Math trick? Angst's Theorem??
Posted:
Dec 2, 2012 11:57 AM
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On Sun, 02 Dec 2012 11:43:07 -0500, pete wrote:
>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.
Alliteration doesn't change the meaning of a phrase. Nor is the
meaning of a poem enhanced by rhyming.
Some find alliteration, rhyming, or exact repetition in sequences of
digits to be more interesting than when such patterns are absent.
YMMV.
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