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Raymond-Bergman FemaleFirst Grand Master (1000+ Posts)
Joined: 29 Dec 2004 Posts: 1401 Location: YorkShire England
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Posted: Mon May 23, 2005 3:12 pm Post subject: Maths Fans - Pi |
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Ok we all know that Pi is 3.142.....
But how did early maths bods know that the ratio of circumference to diameter was the same for all circles?
Its something thats puzzled me for a long time, anyone have a clue? |
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Posted: Mon May 23, 2005 3:35 pm Post subject: |
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| By measuring it, painfully, making approximations, at least until trigonmetry came along and the ability to offer a proof. |
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blobrana FemaleFirst Chatter (200+ Posts)

Joined: 21 May 2005 Posts: 262 Location: Planet Earth, but moving soon
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Posted: Mon May 23, 2005 3:48 pm Post subject: |
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Hum,
perhaps its not always true.
It just might be that in our part of space that there is a bit left over when we divide a circle... |
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Posted: Mon May 23, 2005 4:24 pm Post subject: |
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| that is the relationship between math and logic: proofs. |
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Buffyphile You Go Girl (100+ Posts)
Joined: 17 May 2005 Posts: 110 Location: UK
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Posted: Mon May 23, 2005 7:55 pm Post subject: |
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Due to the fact that all parts of the circumference are equidistant from the centre, otherwise it is not a circle but a polygon, there is a known change in all dimensions equally with the movement in the dimension of any dimension of the radius or circumference.
That is to say if you change the radii of the object in order to accommodate the change the circumference has to move away from the centre yet still remain intact so has to move by an equal proportion.
Pi itself is used as a measure to determine this proportional change as it can't be represented as a real number (3.142 is an approximation) to be accurate Pi goes to hundreds of decimal places but the number used will give a good enough result for most people. |
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427v8 You Go Girl (100+ Posts)
Joined: 08 May 2005 Posts: 187
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Posted: Mon May 23, 2005 8:32 pm Post subject: |
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| blobrana wrote: |
Hum,
perhaps its not always true.
It just might be that in our part of space that there is a bit left over when we divide a circle... |
Well Pi is an Approximation...
A real simple approximation ( and not very good one) is to make a square with the sides equal to the circles diameter.
A better approx is to use a polygon with 1,000 sides....
an even better one is 100,000,000 sides |
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Chad05 Guest
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Posted: Mon May 23, 2005 10:06 pm Post subject: |
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| Buffyphile wrote: |
Due to the fact that all parts of the circumference are equidistant from the centre, otherwise it is not a circle but a polygon, there is a known change in all dimensions equally with the movement in the dimension of any dimension of the radius or circumference.
That is to say if you change the radii of the object in order to accommodate the change the circumference has to move away from the centre yet still remain intact so has to move by an equal proportion.
Pi itself is used as a measure to determine this proportional change as it can't be represented as a real number (3.142 is an approximation) to be accurate Pi goes to hundreds of decimal places but the number used will give a good enough result for most people. |
Will that work in the USA as well?
Only i don't think we're on the same time as you are.  |
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Tina TV FemaleFirst Grand Master (1000+ Posts)

Joined: 10 Jan 2005 Posts: 1037 Location: Hampshire, UK
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Posted: Mon May 23, 2005 11:18 pm Post subject: |
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| Chad05 wrote: |
Will that work in the USA as well?
Only i don't think we're on the same time as you are.  |
Oh don't confuse them. Pi is far to technical. They are still arguing over evolution after all. |
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long-leggedy-annie FemaleFirst Guru

Joined: 14 Jul 2004 Posts: 6175 Location: UK - Hampshire
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Posted: Tue May 24, 2005 7:52 am Post subject: |
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| Tina TV wrote: |
| Chad05 wrote: |
Will that work in the USA as well?
Only i don't think we're on the same time as you are.  |
Oh don't confuse them. Pi is far to technical. They are still arguing over evolution after all. |
And they are happier eating pies, let alone using pi to work anything out! |
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Raymond-Bergman FemaleFirst Grand Master (1000+ Posts)
Joined: 29 Dec 2004 Posts: 1401 Location: YorkShire England
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Posted: Tue May 24, 2005 7:46 pm Post subject: |
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| Tina TV wrote: |
| Oh don't confuse them. Pi is far to technical. They are still arguing over evolution after all. |
ooooOhh get Tina! |
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PooftersUnited Guest
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Posted: Tue May 24, 2005 8:14 pm Post subject: |
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| Raymond-Bergman wrote: |
| Tina TV wrote: |
| Oh don't confuse them. Pi is far to technical. They are still arguing over evolution after all. |
ooooOhh get Tina! |
HEY!
Stop picking on the TV, you beastly man  |
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Buffyphile You Go Girl (100+ Posts)
Joined: 17 May 2005 Posts: 110 Location: UK
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Posted: Tue May 24, 2005 9:23 pm Post subject: |
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| Chad05 wrote: |
Will that work in the USA as well?
Only i don't think we're on the same time as you are.  |
Yes, just replace centre with center and it'll adjust for the time difference  |
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Raymond-Bergman FemaleFirst Grand Master (1000+ Posts)
Joined: 29 Dec 2004 Posts: 1401 Location: YorkShire England
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Posted: Tue May 24, 2005 9:23 pm Post subject: |
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mostirreverent FemaleFirst Guru

Joined: 15 Nov 2004 Posts: 14285 Location: Boston, MA USA
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Posted: Wed May 25, 2005 4:00 am Post subject: |
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is a circle not and a polygone whose sides are infinite in number. if so, then by definition, how can Pi be and approximation? if a monkey is on a cross, pi has something to do with his tail. all hail Jessie Helms and Jerry Falwell
good movie BTW. |
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Raymond-Bergman FemaleFirst Grand Master (1000+ Posts)
Joined: 29 Dec 2004 Posts: 1401 Location: YorkShire England
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Posted: Wed May 25, 2005 3:59 pm Post subject: |
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| mostirreverent wrote: |
is a circle not and a polygone whose sides are infinite in number. if so, then by definition, how can Pi be and approximation? if a monkey is on a cross, pi has something to do with his tail. all hail Jessie Helms and Jerry Falwell
good movie BTW. |
Wow two real rarities in this thread!
The solution to pi and a post from MI with no mention of Anal.
Its to be applauded!! |
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