| Calculating
Pi |
Philosophy
of Mathematics |
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| Using
the polygon method, mathematicians have been able to calculate Pi
up to an ever increasing amount of decimal places. Last I looked it
was measured correct to over a trillion decimal places. wikipedia.org/wiki/Pi
They have not been tested for all prime numbers, they may be simplified further. Its seems clear to me, that there are many more such ratios. And, with God's grace, you may even find the holy grail of mathematics : The perfect rational ratio for Pi. |
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I
would just like to point out that the polygon method has two flaws.
Firstly, with each iteration in the sequence, there is a rounding error.
Secondly, true Pi would always be slightly bigger than a polygon with
countless zillions of sides. So how could we know if true Pi actually has been calculated? The only way to test it would be to build precision machinery that requires true Pi in order to function perfectly. We would then use any of the ratios that are higher than the best polygon calculation, and just see which one functions best. - Jonathan Ainsley Bain, October 21 2008. |
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| pi
= asin(sqr(1/2))*4 (visual basic) |
| or |
 expressed in radians |
I
am not sure if this has been done before. I cannot seem to find a reference
to pi expressed like this on wikipedia or the two dozen websites or
so I have searched. |
| Updated 27 October 2008 |
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