

Larry Barnowsky Inner circle Cooperstown, NY where bats are made from 4866 Posts 
What do you get when you multiply 2 times 2x2x4x4x6x6x8x8...... and divide it by
3x3x5x5x7x7x9x9...? Who first discovered this? Posted: Dec 12, 2005 6:59pm  Hint: It was published in 1655. 
stanalger Special user St. Louis, MO 996 Posts 
Is it approximately equal to the square root of the square root of
2143/22? Didn't J.W. pass this on to Simon as he was going to the fair? 
Larry Barnowsky Inner circle Cooperstown, NY where bats are made from 4866 Posts 
The answer is a more significant number but from your post I think you know what it is.

LostSoul Regular user Dave 148 Posts 
OK, I'll take a stab at Pi? It seems to be pretty close using my rough math skills.
Dave 
Larry Barnowsky Inner circle Cooperstown, NY where bats are made from 4866 Posts 
Pi is correct. Who derived this first in 1655?

stanalger Special user St. Louis, MO 996 Posts 
I think it
WAS LI'L JOHN. 
Larry Barnowsky Inner circle Cooperstown, NY where bats are made from 4866 Posts 
The correct answer is Pi and was derived in 1655 by John Wallis. The very astute stanalger submitted the correct answer by PM.

James F Inner circle Atlanta 1096 Posts 
Very interesting! I didn't know that...Thanks for posting.

Larry Barnowsky Inner circle Cooperstown, NY where bats are made from 4866 Posts 
There's an excellent paperback book called "A History of Pi" by Petr Beckamnn fromm 2000BC to the present.
Posted: Dec 17, 2005 11:48am  Here's alink for the book: amazon.com. 
Heinz Weber New user Austria 83 Posts 
Sorry, I don't get this one. Each number of the odd line (3x3x5x5x...) is bigger than the number on the same place in the even line (2x2x4x4x...). I think the division has to go to 0. Why am I wrong?
Thanks, Heinz 
Larry Barnowsky Inner circle Cooperstown, NY where bats are made from 4866 Posts 
Heinz,
Good question. As we approach infinity the individual odd numbers and correspoding even numbers get closer together in value so their quotient gets closer to 1 not zero. It starts with 2/3x2/3= 4/9 =.444 At say 100 the new product will include 100/101x100/101= .980 which is getting close to 1. This allows the product to converge to a non zero number. Also, the product should be properly written 2 times 2x2x4x4x6x6x8x8 divided by 1x3x3x5x5x7x7. In the initial post I left out the 1 which was a mistake. For the first few numbers: 2 x (2x2)/(1x3) x (4x4)/((3x5) x (6x6)/(5x7) x (8x8)/(7x9) = 2.97 and so on until be get 3.14159.... 
Heinz Weber New user Austria 83 Posts 
Thank you Larry,
the missing 1 was my problem (i made an excelsheet), now I see... In your last message I think it should read 2/1x2/3 instead of 2/3x2/3, an corresponding 100/99x100/101.... (I think if all partquotients were smaller than 1 the whole thing (their product!) could not reach 1. Only with infinite sums there are a couple of astonishing effects, sum of 1/n to name a well known example.) Heinz PS: please forgive my sometimes poor english and terminology, I never wrote mathrelated textes in english before 
Larry Barnowsky Inner circle Cooperstown, NY where bats are made from 4866 Posts 
Your English is very clear Heinz. It's amazing that this was pulished in 1655!

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