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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#1 Re: This is Cool » FLT DEMONSTRATION By Anthony.R.Brown » 2007-06-02 06:49:55

Anthony.R.Brown wrote:

Can you prove the Value of Pi

To illustrate that 4 > π, circumscribe a square around a circle of diameter 1 and compare perimeters.  Note that that has nothing to do with the induction part of the proof.

But I apologize to the other members of the forum.  It would appear that I have prolonged a thread that is better left closed, so I'll stop here.

#2 Re: This is Cool » FLT DEMONSTRATION By Anthony.R.Brown » 2007-06-02 02:54:14

I just happened upon this ridiculous thread while googling something.

Claim: n > π for all integers n >= 4.

Proof:
n = 4: 4 > π.
n > 4: Assume n-1 > π.  Then n > n-1 > π.

Or perhaps Anthony thinks there may be some mysterious value of n out there for which this proof fails?

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