When you say "define the value of pi" , what you mean to say is "determine
the value of pi".

You define the definition of pi by stating what it represents.  You
determine a value for pi based on measurements and calculations.  You can
not define a value for pi as no exact value exists.

Brig's problem is he is trying to define an exact value to pi and is caught
in a quagmire.  If he understood the concept of what pi really defines, he
would not be wasting his time.

Euric



----- Original Message ----- 
From: "Bill Hooper" <[EMAIL PROTECTED]>
To: "U.S. Metric Association" <[EMAIL PROTECTED]>
Sent: Saturday, 2004-04-17 13:25
Subject: [USMA:29567] Re: Pi & Radian


>
> On 2004 Apr 17 , at 12:04 AM, Brij Bhushan Vij wrote:
>
> > provided ... Pi are DEFINED'.
> >
> > This can be done by a glance at my worked values for Pi used by man,
> > Refer:
> > http://the-light.com/bbv_pi-radian.jpg
>
> One can DETERMINE pi, but one cannot DEFINE pi in the sense that SI
> defines the metre and the second etc. Pi is a given factor of the
> universe we live in. It is the value that it is; we don't have the
> ability to "define" it to be any other value. It can be determined to
> any number of decimal places (but it takes a LONG time to get those
> very small decimal places). Pi is exact to an infinite number of
> decimal places but we can never calculate all of them because it would
> take an infinite amount of time to calculate an infinite number of
> decimal places. (Also, no one could use the results because it would
> take an infinite amount of time to use a number with an infinite number
> of decimal places.)
>
> You can say "Pi is defined as the ratio of the circumference to the
> diameter of a circle" but that does not define the value of pi as it
> merely tells how to go about measuring it. There are mathematical
> relations between the geometry of a circle and other known, fixed
> constants which provide methods by which purely calculated values of pi
> can be found, rather than finding it by dividing two measured values
> (circumference and diameter). Those purely calculated values give
> values which can be more precise than any possible measurement.
>
> By the way, Brij, I tried to refer to the web page mentioned in the
> last line of your message and I received the error message:
> > File Not Found
> >  The requested URL was not found on this server.
>
> Regards,
> Bill Hooper
> Fernandina Beach, Florida, USA
> <><><><><><><><><><><><>
> Make it simple; Make it Metric
> <><><><><><><><><><><><>
>
>

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