(March 13, 2013 at 9:21 am)Rhythm Wrote: Yet we have no problem constructing them. Come now, a vast number of perfect circles exists anywhere we care to place them, as both the circle and pi are descriptions of a relationship between dimensions that we found it useful to define in a certain way. I'm not entirely sure what there would be to disagree with in the sentence you quoted, as this is how pi is defined. If pi is not a description of the relationship between the circumference and diameter of a circle please alert the mathematical community at your next convenience Aractus.I already defined Pi earlier in the thread for you:
Pi is simply the answer to the question what is the ratio of the length of the sides of a regular polygon to the average diameter "as the number of sides approach infinity"?
We have no problem imagining perfect circles, but we can't construct something perfect if it requires a transcendental number - can we?
Also, this is exactly - verbatim - how Pi is calculated to an infinite number of decimals:
![[Image: 52028820.gif]](https://images.weserv.nl/?url=img23.imageshack.us%2Fimg23%2F4807%2F52028820.gif)
That's Francois Vieta's calculation - prior to that, he calculated Pi to nine decimal places, and the way he did that was by calculating the area of a regular polygon with 393,216 (393,216 = 3 x 217) sides.
For Religion & Health see:[/b][/size] Williams & Sternthal. (2007). Spirituality, religion and health: Evidence and research directions. Med. J. Aust., 186(10), S47-S50. -LINK
The WIN/Gallup End of Year Survey 2013 found the US was perceived to be the greatest threat to world peace by a huge margin, with 24% of respondents fearful of the US followed by: 8% for Pakistan, and 6% for China. This was followed by 5% each for: Afghanistan, Iran, Israel, North Korea. -LINK
"That's disgusting. There were clean athletes out there that have had their whole careers ruined by people like Lance Armstrong who just bended thoughts to fit their circumstances. He didn't look up cheating because he wanted to stop, he wanted to justify what he was doing and to keep that continuing on." - Nicole Cooke
The WIN/Gallup End of Year Survey 2013 found the US was perceived to be the greatest threat to world peace by a huge margin, with 24% of respondents fearful of the US followed by: 8% for Pakistan, and 6% for China. This was followed by 5% each for: Afghanistan, Iran, Israel, North Korea. -LINK
"That's disgusting. There were clean athletes out there that have had their whole careers ruined by people like Lance Armstrong who just bended thoughts to fit their circumstances. He didn't look up cheating because he wanted to stop, he wanted to justify what he was doing and to keep that continuing on." - Nicole Cooke
