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July 1st, 2017, 02:19 AM   #11
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2 types of lines

Geometry has 2 types of uniformly shaped lines

The line drawn with the ruler
Infinity lines drawn with compasses

The ruler line has a unique uniform shape
Each line of the compass has a unique uniform shape

The unique uniform shape of each line drawn by compass , expresses
a unique ratio number from 3.1416 to 3.164
.
Hence the idea of pi changes in a tiny amount

aetzbar
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July 1st, 2017, 02:32 AM   #12
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Quote:
Originally Posted by aetzbar View Post
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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Having read through your 'article' I see that I was correct in my assessment.

Your approach is far too simplistic to have any value.
Even the ancient Greeks had many more postulates than you do.

Please not that you are only addressing two dimensional euclidian plane geometry.

Curved lines may go on forever without self intersection in three dimensional euclidian geometry ( eg a helix) or take other strange paths in non euclidian (including two dimensional) geometry.

For your information a line in euclidian plane geometry does not have a length.
It refers to a straight line that extends indefinitely in both directions.

A segment of that line has length.

A curved is defined as any line that is not straight, and not all plane curves will self intersect.


I have done you the courtesy of reading your script properly, please return it.
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July 1st, 2017, 03:13 AM   #13
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Actual length

Thank you for reading this article

I'm talking about a line of compasses in the plane as in classical geometry

The line of a closed calipers with a length of 1 meter,
has a unique uniform shape

For a closed compass line that is 1 cm long,
] it has a unique uniform shape

This distinction is sufficient to determine
For any actual length of a compass line, there is a unique ratio number that expresses the shape of the line

Actual length expressed in the amount of cm

I know that what I say sounds strange and not at all acceptable, but that's the truth

The unique uniform shape of each line drawn by compass , expresses
a unique ratio number from 3.1416 to 3.164
.
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July 1st, 2017, 03:25 AM   #14
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Quote:
The unique uniform shape of each line drawn by compass , expresses
a unique ratio number from 3.1416 to 3.164
A pair of compasses is a machine.

You might be better studying the statistics of machines in Industrial Engineering and relating it to your draughting technique.

As a matter of interest my first job was at the Building Research Establishment where I was employed to measure the length of (many) bricks, accurate to 1/10,000 inch.
This was for a project studying expansion due to moisture uptake.

But no one believed that we were redefining the fundamental constants of the universe.

Last edited by studiot; July 1st, 2017 at 03:43 AM.
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July 1st, 2017, 07:06 AM   #15
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The new constant of the universe 1.007

I know that every mathematician will not accept the idea that pi changes according to the actual length of the compass line.

If the actual length is infinity cm, the pi of this length is 3.1415 (pi min)
If the actual length is zero cm, the pi of that length is 3.1416 (pi max)

Now we must agree that the ratio between pi max to pi min ( =1.007) is the new constant of the universe

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July 1st, 2017, 08:59 AM   #16
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Quote:
Now we must agree that ........
Actually we don't have to agree on anything.

Further we will not be discussing your points further until you respond to my points.

Discussion is a two way process.
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July 1st, 2017, 11:16 AM   #17
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You're right

You're right we do not have to agree.
The truth is that discussion can not come to the truth.

If Pi had been a mathematical subject, it would have been enough just to talk about him.
But Pi is a physical subject, and fits only a real measurement.
It sounds very strange that pi is a physical subject, but a real experiment will determine yes.


Thank you for an interesting discussion.

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July 1st, 2017, 11:28 AM   #18
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Pi is not a physical subject at all. No experiment can determine otherwise.
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July 1st, 2017, 12:22 PM   #19
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Quote:
Originally Posted by studiot View Post

... As a matter of interest my first job was at the Building Research Establishment where I was employed to measure the length of (many) bricks, accurate to 1/10,000 inch. ...
Sounds like a nightmare ...
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July 1st, 2017, 12:45 PM   #20
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compass line and ruler line

Quote:
Originally Posted by v8archie View Post
Pi is not a physical subject at all. No experiment can determine otherwise.
A mathematician who sees two closed lines drawn with the help of a compass,
The mathematician clearly sees a short line and a long line.
what can he do ? is nothing.

So he adds a ruler line, because he knows how to handle ruler lines.
The conclusion:
The mathematician does not know how to handle the lines of a compass.

The physicist does know, and he uses measurement

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