Re: Is There Anomaly In Value of pi ?
Abhijeet_B_Patil_at_hotmail.com
Date: 12/12/04
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Date: 12 Dec 2004 02:33:22 -0800
Randy Poe wrote:
> Abhijeet_B_Patil@hotmail.com wrote:
> > [snip]
> > > > The question is,
> > > > "is value of pi is experimentally verified or not?"
> > >
> > > You mean have we performed any infinitely-long experiments
> > > of the type that are supposed to measure pi? No, we haven't
> > > performed any infinitely-long experiments.
> >
> > Infinitely long experiments are not needed.
>
> Yes, they are.
>
> > I am searching google and I
> > find that if "squaring of circle" problem is solved, value of pi
can
> > change to 3.1547.
>
> No, you didn't.
>
> But why don't you provide the link and we'll see what it
> really said.
I am giving below a post I found in google group.
============Reproduced Post Start ===============
From: sjbradshaw@cix.co.uk (Simon Bradshaw)
Newsgroups: rec.arts.sf.fandom
Subject: Value(s) of Pi (was: Re: France's motivation)
Date: Thu, 20 Mar 2003 22:51 +0000 (GMT Standard Time)
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In article <m2smtlwp74.fsf@joelr.ellegon.com>, joelr@ellegon.com (Joel
Rosenberg) wrote:
[Of Kevin J Maroney]
> I want a vacation on his planet. Probably, by fiat, Kevin can make
> pi=3 -- although it may require a UN resolution, as well.
By good old rasff Sheer Coincidence, a friend has just loaned me
_Mathematical Cranks_ by Underwood Dudley, which includes a substantial
survey of independent thinkers[1] with new and improved values of pi.
Pi-redefiners fall into two camps. The first group are those who seek
to Square The Circle, i.e. produce a geometric construction from a
circle of a square with equal area. Such a feat was long-ago proven
impossible, but that is of little concern to such enthusiasts and they
continue to come up with novel geometric constructions that, if they
did work, would require pi to have a value such as (2/3)*(3+sqrt(3)),
i.e. 3.1547... Such people thus come up with new values for pi as a
by-product of their main work, although they often claim that this is
(in software terms) a Feature, not a Bug. This is even the case when
their diagrams imply a really good value
of pi, e.g. (in one case Dudley quotes) 2.91419041.
The second camp are those who simply find 3.141592654... much too
untidy a value and seek to replace it with something neater and more
memorable. Dudley cites one such person who declared pi=3.125, proving
it thus:
- Assume pi=3.125
- This would mean that a circle of circumference 4 units would have a
radius of 4/pi=1.28 units.
- To check, a circle of radius 1.28 units would have a circumference of
1.28*pi=4 units. QED!
Dudley also addresses the near urban-legend that Indiana legislated
that pi=4. What actually happened is that in 1897 the state legislature
considered (but never passed) a bill on how to (guess what) Square The
Circle, but the gentleman who wrote it did so in such a confused manner
that one can get some nine different values of pi out of it. If nothing
else, this bill would have given abundant freedom of choice.
[1] Patrick Moore's delightfully diplomatic term for such people, as
coined in his rather old but still very readable survey of cranks, _Can
You Speak Venusian?_
-- Simon Bradshaw sjbradshaw@cix.co.uk http://www.cix.co.uk/~sjbradshaw *** The Science Fiction Foundation *** http://www.sf-foundation.org =========== Reproduced Post End=============== -Abhi.
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