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June 30th, 2017, 04:16 PM   #1
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A new idea in geometry

Since it is impossible to prove,
that the ratio of diameters of two circles = the ratio of the circumference of these two circles,
A new geometric has been created.

What is your opinion ?

Sincerely
Aetzbar




The Pi revolution

By Aetzbar

New Geometry of Circles,
Which has a unique Pi
to each Diameter.

The new geometry, has a new Formula

Pi of D = 3.1416 + root of ( 0.0000003 : D )
D is the Diameter of a circle, above 0.001 mm


The new formula produces the following numbers of pi

D of Circle (mm) Unique Pi

0 3.164 (pi maximum)
0.001 3.1589205
0.01 3.1470772
0.1 3.1433321
1 3.1421477
10 3.1417732
100 3.1416548
1000 3.1416173
1000000 3.1416005
10000000 3.1416002
1000000000000… 3.1416 (pi minimum)

The Pi revolution

According to the conventional mathematics,
Pi of each D = 3.1416
There for, it is very important number.


According to the new geometry of circles,
There are two important numbers.
Pi minimum = 3.1416
Pi maximum = 3.164

Between pi minimum to pi maximum, there is a unique pi to each D

Pi of D = 3.1416 + root of ( 0.0000003 : D )
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June 30th, 2017, 05:05 PM   #2
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Quote:
Originally Posted by aetzbar View Post
Since it is impossible to prove,
that the ratio of diameters of two circles = the ratio of the circumference of these two circles,
A new geometric has been created.

What is your opinion ?

Sincerely
Aetzbar




The Pi revolution

By Aetzbar

New Geometry of Circles,
Which has a unique Pi
to each Diameter.

The new geometry, has a new Formula

Pi of D = 3.1416 + root of ( 0.0000003 : D )
D is the Diameter of a circle, above 0.001 mm


The new formula produces the following numbers of pi

D of Circle (mm) Unique Pi

0 3.164 (pi maximum)
0.001 3.1589205
0.01 3.1470772
0.1 3.1433321
1 3.1421477
10 3.1417732
100 3.1416548
1000 3.1416173
1000000 3.1416005
10000000 3.1416002
1000000000000… 3.1416 (pi minimum)

The Pi revolution

According to the conventional mathematics,
Pi of each D = 3.1416
There for, it is very important number.


According to the new geometry of circles,
There are two important numbers.
Pi minimum = 3.1416
Pi maximum = 3.164

Between pi minimum to pi maximum, there is a unique pi to each D

Pi of D = 3.1416 + root of ( 0.0000003 : D )
As soon as I see any proof of what you say, I will listen. This is gibberish.

-Dan
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June 30th, 2017, 06:54 PM   #3
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Quote:
Originally Posted by aetzbar View Post
Since it is impossible to prove,
that the ratio of diameters of two circles = the ratio of the circumference of these two circles,
A new geometric has been created.
No, it's not impossible to prove at all: Proof: Pi is Constant | Math Wiki | Fandom powered by Wikia

The rest of your post is just some stuff you've made up. I guess you did so because you take a strictly practical approach to measuring circles, but you can't know that your physical circles are actually circles - in fact they can't be.

A circle is a mathematical ideal with a strict definition and that ideal gives rise to the constant $\pi$.
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June 30th, 2017, 07:36 PM   #4
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Quote:
Originally Posted by v8archie View Post
No, it's not impossible to prove at all: Proof: Pi is Constant | Math Wiki | Fandom powered by Wikia

The rest of your post is just some stuff you've made up. I guess you did so because you take a strictly practical approach to measuring circles, but you can't know that your physical circles are actually circles - in fact they can't be.

A circle is a mathematical ideal with a strict definition and that ideal gives rise to the constant $\pi$.
If I remember correctly, the proof that the ratio of the circumferences of two (ideal) circles equals the ratio of their diameters precedes Archimedes. Archimedes then showed that it was not some simple rational number and, again remembering perhaps incorrectly, also showed that the same ratio applied to the volumes of spheres and cylinders.

A lot of nonsense arises because we teach nothing about the history of mathematics. Of course, the whole idea of public education in the US today is to make sure that people feel good about being ignorant.

Admittedly, I also think that the Platonist metaphysics of some mathematicians gets in the way of teaching mathematics to those of a practical bent. I'd be a lot more explicit that many mathematical "objects" have no physical reality that can be verified empirically. Whether or not they are "real" metaphysically, they act as simplifications that greatly assist logical thought and, to the degree that we can physically measure, result in fairly simple experimental "laws" of physics.

Last edited by JeffM1; June 30th, 2017 at 07:40 PM.
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June 30th, 2017, 09:30 PM   #5
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Originally Posted by JeffM1 View Post
Of course, the whole idea of public education in the US today is to make sure that people feel good about being ignorant.
Sad, but true.

-Dan
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June 30th, 2017, 09:44 PM   #6
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pi belongs to physics, not to mathematics

Already many years ago math decided, that the ratio of diameter to diameter =
to the ratio of circumference to circumference.
This decision created a fixed pi, but pi is changing.
A variable pi belongs to physics , not to math.
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June 30th, 2017, 11:59 PM   #7
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Quote:
Originally Posted by aetzbar View Post
but pi is changing.
No it isn't. It is defined as the ratio of a circle's circumference to it's diameter and we know that that is fixed.

Quote:
Originally Posted by aetzbar View Post
A variable pi belongs to physics , not to math.
Physicists find that the usual value of Pi give much more accurate results than the errors that would be introduced by your fanciful ideas.
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July 1st, 2017, 12:57 AM   #8
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I know my idea is very strange , but it's true.

I know my idea is very strange , but it's true.

To make it easy to handle circles, you have to agree.
The ratio of diameters of two circles = their ratio of circumference.

Each measurement confirms this consent.
Only a very precise measurement will disprove this agreement.

And this idea I present.

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July 1st, 2017, 01:00 AM   #9
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Quote:
Of course, the whole idea of public education in the US today is to make sure that people feel good about being ignorant.
Sadly that extends beyond the US both historically and geographically

Quote:
Juvenal
"panem et circenses"
As to the OP, modern maths (and physics) has developed well beyond the ancient Greeks and Euclid.

Today we recognise Pi as a respectable number on the number line in its own right.
As such it is indeed a constant, just as is any other real number.

Yes, Aetzbar, in such circumstances, it remains to prove that this number represents the ratio of the circumference to the diameter for all circles.
But, as has already been pointed out, this was proved by the ancient Greeks for Euclidian Geometry.

But Geometry, like the rest of maths, has marched onwards and we now know that there are many geometries for which Pi does not represent this ratio, for a variety of reasons. Two such circumstances would be the intrinsic curvature of manifolds and the application of projective geometry.

The Physics of Einstein tells us that our universe is not Euclidian and that circles vary in their appearance, due both to the so called curvature of spacetime and relative velocities.

Even classical Physics has its oddities.
The Science of Geodesy refers to measuring the Geometry of the Earth, as it is not a perfect Euclidian sphere for a variety of physical reasons.
But what is the 'shape of the Earth' ?
The land surface? The fluid surface? The surface defined by points of equal gravity? The surface defined by points of equal magnetic field?
They are all different.

So Aetzbar, a whole universe of discovery and wonder awaits you out there in both maths and physics.
I suggest you don't waste it running down a blind alley.
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Last edited by studiot; July 1st, 2017 at 01:23 AM.
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July 1st, 2017, 01:29 AM   #10
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The tiny ineqality

You're right
2000 years Academy recites that the ratio of diameters to two circles
exactly equal to their ratio of circumference .
The truth is ... the ratio is not exactly equal

This tiny inequality, only accurate measurement can detect

Such a measurement appears in an article I have attached

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