I don't know why we need to care about a fractional representation of
π. There was a time in the past when such was needed, and that was in the
days of doing math with complex logarithms on a slide rule. This is the
21-st century, we use calculators. If I want to know the value of π, I
press the π key on my calculator and get a number more accurate then any
fractional representation can ever hope to give me.
If you run Windows, you can run a program called calc.exe, I can with the
click of a mouse have it display the value of π as:
3.1415926535897932384626433832795. Can any fraction display this much
accuracy? Fractions are obsolete, we really need to forget about
them.
Dan
----- Original Message -----
From: "m.f.moon" <[EMAIL PROTECTED]>
To: "U.S. Metric Association" <[email protected]>
Sent: Saturday, 2005-10-15 14:56
Subject: [USMA:34887] Re: common fractions fail for some
numbers
> expansion of pi is 102573/32650 which has an error of 2.2x10^-8. There are
> many other ratios between 355/113 and the above one which will yield small
> ratios and better accuracy if you want the take the time to find them.
>
> marion moon
>
> ------ Original Message ------
> Received: Wed, 12 Oct 2005 06:24:25 AM PDT
> From: Pierre Abbat <[EMAIL PROTECTED]>
> To: "U.S. Metric Association" <[email protected]>
> Subject: [USMA:34819] Re: common fractions fail for some numbers
>
> On Wednesday 12 October 2005 03:09, Brij Bhushan Vij wrote:
>> Pierre Abbat & list:
>> The Pi question has been discussed several times over. If Pi is the ratio
>> between circumference to the diametre of a circle, the BEST and only
>> fractional value for Pi in the form *a/b ratio* happen to be simple:
>> 100000/31831, which also defines the angle radian at 57.2958 degree. Also,
>> visit: http://www.the-light.com/cal/bbv_pi-radian.jpg
>
> 100000/31831 is off by 1.1e-6. 355/113 is off by only 0.3e-6.
>
> phma
>
>
>
>
>
>
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