**Next message:**Neil Hopkinson: "Re: Epoxy Tooling"**Previous message:**Innomation Systems & Technologies Pte. Ltd.,: "STL meshing for FEA"**In reply to:**Priit Kull: "Re: Pi and Alabama (Off Topic)"**Next in thread:**Scott Metzger: "Re: Pi and Alabama (Off Topic)"**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ] [ attachment ]

(Apologies for continuing off-topic)

Folks,

The problem with the reasoning is the part that goes, "At last we end up with a

straight line..."

You don't - it *looks* like a straight line but it is actually a series of

infinitesimally small semicircles, and the length along the curves remains 1*pi

no matter how small you get.

These ideas are treated in the fundamentals of differential calculus.

Cheers,

Philip

Priit Kull wrote:

*> Hi list
*

*>
*

*> Of cource the Pi legislation in Alabama is a joke for the simple reason that
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*> they have got the wrong value for it.
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*>
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*> I am going to prove that the correct value for Pi is actually 2.
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*>
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*> The reasoning goes like this. You take a unit circle with R=1. According to
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*> the definition of Pi the length of such a circle's surcumference is 2Pi,
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*> that is half of the circle = Pi and diameter=2. Now you draw a half of a
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*> circle with R=0.5 on the half of the diameter and another halfcircle on the
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*> other half of the diameter. The length of the first halfcircle is 0.5Pi. The
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*> same goes for the other halfcircle. That means that the total length of the
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*> bent line is equal to Pi. Now we do the same trick of deviding the R and D
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*> by 2 and we end up with 4 halfcircles 0.25Pi length each, which once again
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*> totals to 1Pi. Continuing in the same line (8*0.125Pi=1Pi, 16*0.0625Pi=1Pi
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*> ...) we can every time prove that the total length of the bent line is equal
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*> to Pi. At last we end up with a straight line, which (look at the beginning
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*> of the paragraph) is the diameter of the original unit circle and therefore
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*> 2. Ergo Pi=2.
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*>
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*> Tell me where am I wrong. If you can not, you have to accept the truth and
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*> rethink your life.
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*>
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*> Best regards
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*> Priit Kull
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*> tre@kodu.ee
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*>
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*> PS: The puzzle is not my invention, but the place where I read it did not
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*> give any acceptable explanation about what is wrong with the reasoning. I
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*> think I figured it out after four years of concentrated thinking and there
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*> is nothing wrong with the reasoning, the problem is with the traditional
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*> geometry. I also made a .STL file depicting the first four steps of the
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*> iteration. It is actually a quite nice trinket with neverending Yin/Yang
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*> pattern. I will not attach it as this is off topic and the file is 346KB.
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*> Anybody wanting to have a solid proof of the fact that Pi=2 switch on your
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*> RP machine and send me a message.
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*>
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*> For more information about the rp-ml, see http://ltk.hut.fi/rp-ml/
*

For more information about the rp-ml, see http://ltk.hut.fi/rp-ml/

**Next message:**Neil Hopkinson: "Re: Epoxy Tooling"**Previous message:**Innomation Systems & Technologies Pte. Ltd.,: "STL meshing for FEA"**In reply to:**Priit Kull: "Re: Pi and Alabama (Off Topic)"**Next in thread:**Scott Metzger: "Re: Pi and Alabama (Off Topic)"**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ] [ attachment ]

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