The Non Transcendental, Exact Value of π and the Squaring of the Circle

[C.B.]

It's up to us to find the value, not to wait for the truth from one sky daddy.
They want us to find the value ourselves, to spread it, to reach the scientific community. Real science. Not controversy.

I’m curious about this statement of yours.
I provided already in this thread a very nice mathematical derivation of the exact π value 3.1446 but no one seems to take notice of it, except its detractors.

As for Harry Lear he would do well if he certifies his measurements by a notary specialised in this field of physics.
And regarding these two german scientists who measured π as well, it would be useful if you provide the link of their work. Otherwise it remains hearsay and it is not useful at all.

[Arthur]

I mean by us, everyone concerned about this value (a lot of people), the scientific community ... Its not the case today.

Here is the contact you mentioned : https://www.futureofmankind.co.uk/Billy ... Report_260

and another about pi :

https://www.futureofmankind.co.uk/Billy ... Report_712

"But in order to calculate and determine the circular number Pi, which in the result corresponds to absolute correctness down to the last and smallest value, an instrumentarium is required which does not yet exist in the earthly-mathematical and instrumental sphere and therefore also offers no possibility of exact-precise calculation."

"Instrumentariums" in German.

We only can measure 6 decimal places with a laser as it was done. (Thousandth of mm)
Because our technology does not allow us to measure tens of thousands of decimal places.
There is 7 level of matter , we only know 3 (atom, proton and neutron, quark) We still have four levels to discover. It's going to take a long time.

[C.B.]

There is no point trying to measure physically 100s of π decimals. We can do it mathematically.
I provided the derivation and you are one of those who still didn’t take notice of it.
All these calculation with pyramids and relationships with Kepler Triangles are just guesswork if you don’t have the exact mathematical derivation.
We don’t know the exact angle of the pyramid leading to 3.1446. We guess with circular reasoning.
Ok, 4/√φ is 3.1446 so the angle must have the corresponding value to obtain 3.1446 again. It is handicraft and not science.

And where is the link with the german scientists?

[Arthur]

There is no point trying to measure physically 100s of π decimals. We can do it mathematically.

I know but he talks about an instrument, which means physical measurement.

I provided the derivation and you are one of those who still didn’t take notice of it.
All these calculation with pyramids and relationships with Kepler Triangles are just guesswork if you don’t have the exact mathematical derivation.
We don’t know the exact angle of the pyramid leading to 3.1446. We guess with circular reasoning.
Ok, 4/√φ is 3.1446 so the angle must have the corresponding value to obtain 3.1446 again. It is handicraft and not science.

And where is the link with the german scientists?

Concerning The pyramid and the Kepler triangle its based on what Herodotus said :

"the square built on the vertical height was exactly equal to the surface of each of the triangular faces".

There is only one triangle with this property : Its the Kepler triangle.

Concerning pi i referred to the value found by Harry Lear. which the same as 4 * base / height of a Kepler triangle. (geometric value)
And with that i found 13 geometric equalities.
Squaring the circle with perimeter, area and volume.

Concerning the German engineers, its a comment by Harry Lear in one of his video : https://www.youtube.com/watch?v=VVwJ4J4pUFQ I don't have more info.

For more infos about the laser measurement they made maybe you can ask him : https://measuringpisquaringphi.com/contact-us/

[C.B.]

The values of the Pyramid and the Kepler Triangle are optional values. It is not a demonstracion or proof for 3.1446.
If we take any other triangle then π would be no more 3.1446.
You have to have a mathematical proof for that where the KT or some particular angle are not the premises.

And you still keep ignoring completely my exact derivation that solves all these questions. Why?
I don’t care very much. I’m just curious.

PS: the link to the German engineers is just another of Harry Lear’s videos. Nothing about Germans or lasers.
You don’t go to NASA and say ….Look I know of some German Engineers who did it….
Isn’t it?

[Arthur]

The values of the Pyramid and the Kepler Triangle are optional values. It is not a demonstracion or proof for 3.1446.

You are right. Its not a proof.
When you take what Herodotus said and the measurement of pi by Harry Lear you get many geometric equalities and squaring the circle with perimeter, area and volume you cannot get with another triangle and no squaring the circle with the actual value of pi.

If we take any other triangle then π would be no more 3.1446.
You have to have a mathematical proof for that where the KT or some particular angle are not the premises.

Its not to demonstrate the value pi. its about proportion, which is PHI, done with the Kepler triangle from what Herodotus said.
Its about geometric equalities and squaring the circle we get with the value of pi = 4/√ɸ (which has been measured by Harry Lear).

And you still keep ignoring completely my exact derivation that solves all these questions. Why?
I don’t care very much. I’m just curious.

The point was this contact with pi and the physical measurement, and Guido with the pyramid. not any mathematic demonstration.

PS: the link to the German engineers is just another of Harry Lear’s videos. Nothing about Germans or lasers.
You don’t go to NASA and say ….Look I know of some German Engineers who did it….
Isn’t it?

Its not in the video but in the comment of the video where he said :

"Two German engineers have recently measured the diameter and circumference of an Aluminum circle with their laser beam system in a clean room with constant humidity that can measure to the nearest 1/1000 mm. Their results: Pi = 3.1446... . Using their laser beam system, one can measure the circumference of a 1,000.000 mm diameter circle at 3,144.605... . Therefore Pi = 3,144.605 / 1,000.000 = 3.144605... . All of my math proofs show that the circle can be squared and that Pi = 4 / sqrt Phi."

As i said i don't have more info about this.

[C.B.]

You are right. Its not a proof.
When you take what Herodotus said and the measurement of pi by Harry Lear you get many geometric equalities and squaring the circle with perimeter, area and volume you cannot get with another triangle and no squaring the circle with the actual value of pi.

Yes you get all these equalities but you can’t prove them.
3.1446 is just just an optional value because you rely on the KT, which is a further option too.
And if you’re working just by hunch and approximations then why bother contacting NASA and related agencies? They can do it as well. If 3.1415 doesn’t work they add some coefficient to correct the result and thats it. They don’t need your own hunches and coefficients to rely on.

Besides 4b=π is not any mathematical demonstration. It is the only one you’ll find far and wide. And there is another geometric one which yields the same result. “Das Geometrische π”.
Everything else is working with ropes and sticks, you can draw an ellipse with ropes and sticks but you can’t prove it is an ellipse.
This has been the incredible work of the Greek mathematicians: To prove claims in a rational and reliable way.

[Arthur]

You are right. Its not a proof.
When you take what Herodotus said and the measurement of pi by Harry Lear you get many geometric equalities and squaring the circle with perimeter, area and volume you cannot get with another triangle and no squaring the circle with the actual value of pi.

Yes you get all these equalities but you can’t prove them.

These equalities are found from :

1 - What Herodotus said.
2 - The measurement made by Harry Lear.

The Kepler triangle is from (1)
Squaring the circle with perimeter, area and volume is done with (2).
It shows that the numeric value 3.144605 is the same as the geometric value from the Kepler triangle which is 4 * base / height = (4/√ɸ).
So the link between the circle and the square is the Kepler triangle.

3.1446 is just just an optional value because you rely on the KT, which is a further option too.

No. 3.1446 and 3.144605 has been measured physically many times. as a proof (reproducibility, link)

The Kepler triangle is the geometric figure, a triangle, from what Herodotus said.
It turns out that 4 * base / height of this triangle has the same value with Harry Lear result.

[C.B.]

1 - What Herodotus said.
2 - The measurement made by Harry Lear.

What Herodotus said? Ok. The Egyptians chose the KT to construct the Pyramids but this is not a proof of π being 3.1446. It just proves they used this relation to build the pyramids and nothing further.

And Lear measured the circle up to six decimal places with a πTape, which, in fact, is calibrated for π 3.1415 and allows to determine only 3 decimal places in inches and 2 in mm?
How does it work?

[Arthur]

And Lear measured the circle up to six decimal places with a πTape, which, in fact, is calibrated for π 3.1415 and allows to determine only 3 decimal places in inches and 2 in mm?
How does it work?

Harry Lear measured pi with 4 decimal places. 3.1446
0 and 5 was found later by these 2 German engineers (thousandth of a millimeter for a 1 meter diameter circle). They used a laser.