Virgil
Posts:
8,833
Registered:
1/6/11
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Re: Can a fraction have none noneending and nonerepeating decimal representation?
Posted:
Aug 2, 2013 1:59 PM
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In article <3a081ace-bcb0-4fc6-8553-2532b5dea645@googlegroups.com>,
jonas.thornvall@gmail.com wrote:
> Den fredagen den 2:e augusti 2013 kl. 12:49:31 UTC+2 skrev Richard Tobin:
> > In article <85ffb478-968f-4de6-9284-b1e53fc19f0d@googlegroups.com>,
> >
> > <jonas.thornvall@gmail.com> wrote:
> >
> >
> >
> > >But one 1/phi is not a rational ratio, but the 1/6 hexagon (center to
> >
> > >vertex/sum of sides) is and so is all polygons derived from multiplying
> >
> > >the vertices.
> >
> >
> >
> > You were claiming that pi is rational. It is not.
> >
> >
> >
> > -- Richard
>
> And it is because as you double up the vertices of a hexagon and get smooth
> round, the sum of side lengths / radius approach a limit. And that limit is a
> rational.
Every irrational is the limit of a sequence of rationals, so being the
limit of such a sequence does not prove rationality.
.
So until you can show us a rational (ratio of integers) exactly equal
to pi, we will continue to hold that your claims of the rationality of
pi to be false.
--
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