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

[C.B.]

We take a square and a circle of the same perimeter π and write the equation

4b = π

We calculate the areas, using 4b for π, for the area of the circle.. Respectively we obtain :

As = b^2
Ac = b
Now we use these values as the legs of a right triangle to apply Pythagoras and find out the value of b or π/4.

(b)^2 + (b^2)^2 = 1

b^2 + b^4 – 1 = 0

b = 0.7861513
4b = π = 3.1446

The reason to take the Hypotenuse = 1 is simple. The value of b and b^2 are calculated for Diameter = 1.
So, the only semicircle where we can inscribe this right triangle to preserve the values of b and b^2 is one of Diameter = 1

[Arthur]

Hello C.B,

I created the topic “Pi Number” in the previous life of this forum.
Due to the uncontrollable discussions on this topic, I asked the moderator to delete all my messages. I did not want to be associated with this total destruction of the topic I had created. I subsequently saw that the situation was going from bad to worse.

Hope this will not be the same again.

Concerning your demonstration :

Mathematic are hypothesis based. It is deductive reasoning.
They are not based on observation, with inductive reasoning like measurement.

Discovering the value of pi means hypothesis cannot include the value we are searching for. Otherwise it is a circle reasoning.

4b = pi means squaring the circle is possible for a 1 unit diameter circle.
We don't know because we don't know pi yet.

The equation b^4 + b^2 = 1 is artificially constructed.
Using As and Ac from b (or PI because b = pi/4) as side of a right triangle.

This triangle (1, b, b^2) is a Kepler triangle because the only one triangle who has a property saying :

Hypothenuse * Base = Height^2

With Hypothenuse = 1 we have Base = Height^2

(This is the basis of the geometry of the Great Pyramid of Giza told by Herodotus, see mypost)

and so base = 1/ɸ and height = 1 / ɸ * √ɸ = 1 / √ɸ.

with b = 1/√ɸ , 4b = pi and pi = 4/√ɸ = 3.1446

So there is no discovery of pi but :

- Hypothesis pi = 4b
- Hypothesis of the Kepler triangle (1/√ɸ, 1/ɸ, 1 or 1/ɸ, 1/√ɸ, 1)

The archimedes method discovered pi with a simulated circle done with many edges. This demonstration show pi as a ratio of the circumference of a simulated circle divide by its diameter. Not a circle. And so the result cannot other than an approximation.

For the real demonstration of the value of pi a real circle must be used as its was done with Harry Lear measurement.
His measurement was not sufficient because if he made a mistake He repeats the mistake in every measure.
Reproducibility (No need lawyer, or notary or "authority", science do that perfectly) is the validation step needed.
It was done in another environment, condition (laser, aluminium circle) by 2 German engineers who confirm Harry Lear measurement and added 2 digits: 0 and 5. (Thousandth of mm for a 1 meter diameter circle) 3.144605.

The result of your demonstration is correct.
Pi must be found without using it in the calculation.

[Hush]

Hey there Arthur and C.B.,

My two favorite buddies from before this new format, and its no surprise you would be back in full force promoting your True Pi=3.1446 nonsense and AVOIDING at all cost, any reference to Billy Meier's Contact Report references to Pi, which is rather interesting isn't it, since this is after all a forum dedicated to the discussion of FIGU and its Mission however when it involves the Pi discussion, neither Arthur nor C.B. ever refer to Billy Meier's information about Pi, because the TRUTH scares you a little bit doesn't it?

And how is your challenge and success proceeding trying to convince the world of your True Pi=3.1446 nonsense - huh? Making any actual progress. Probably not, just flooding the Billy Meier Forum with your faked Pi=3.1446 proofs. By the way, Arthur and C.B. what are you academic credentials in mathematics which might help assure us of your qualifications to claim True Pi=3.1446 which is in direct contradiction of Billy Meier's CR #722, who makes it PERFECTLY CLEAR that True Pi is UNKNOWN - huh?

And so why is it that when the discussion concerns the True Value of Pi, neither Arthur nor C.B. ever refer to Billy Meier's Contact Report references? I mean all you ever present is your own opinion as fact that True Pi=3.1446 which DIRECTLY CONTRADICTS Billy Meier's Contact Reports, why do you even bother claiming True Pi=3.1446 when Billy Meier makes it PERFECTLY CLEAR True Pi is UNKNOWN. Why waste your time with this True Pi=3.1446 LIE huh?

Well maybe to get to the TRUTH about Pi, we should actually review what Billy Meier has stated about Pi in his Contact Reports so lets us do a quick review since you seem to struggle with this. In Billy Meier's Contact Report #722 he states TRUE Pi is UNKNOWN which makes it PERFECTLY CLEAR Christian Frehner, Michael Horn and Harry Lear, all of whom had earlier claimed TRUE Pi = 3.1446, is nothing but a LIE.

Please read Billy Meier's Contact Report #251 where Billy Meier states True Pi is solved by Earth's brilliant scientists trying to save our dying Sun which will not happen anytime soon so we are stuck with traditional Pi=3.14159 which will remain VALID for the next oh, few centuries at least - thankfully!

Please read and try to understand Billy Meier's simple straightforward statements in CR #712, where Ptaah says 'Know-it-All's claim to know the True value Pi=3.1446 which is actually UNKNOWN (CR 722). Every "Know-it-all" lacks a formal education in mathematics, therefore with no accreditation fails to comprehend real mathematics theory and principles, and then develop fake Pi=3.1446 proofs using pretend math trickery which fools most people, including themselves but not the academics. This is precisely why the Know-it-Alls who claims True Pi=3.1446 have always been ignored for years by academia because Know-it-alls are not smart enough to understand why their True Pi=3.1446 math proofs claim is a fake.

There is no worldwide conspiracy to hide True Pi=3.1446, its just well known by academics Pi=3.1446 is physically impossible and a LIE, and that's the only reason why academia have completely ignored the Pi-Radicals claim True Pi=3.1446 because its total and complete nonsense. But all anyone has to do is read Billy Meier's Contact Reports #251, #712 & #722 to truthfully understand True Pi=3.1446 is a LIE.

Anyone who claims True Pi=3.1446 is typically uneducated, naive and gullible and foolishly believes they've discovered some fancy math that no other scientist, mathematician or engineer in the world can understand which is quite ridiculous. The error in traditional Pi=3.14159 is extremely small, so small in fact that its currently imperceptible due to Earth humans limited technology. That is, nobody at this time on Earth knows what the error in Pi is. We do know from CR #712 that the error in Traditional Pi=3.14159 is extremely small, because Ptaah tells us that traditional Pi=3.14159 may be used for all round and circular calculations in both math and physics.

Its important to stop spreading the True Pi=3.1446 LIE among the FIGU Community because not only is it a LIE, not only does claiming True Pi=3.1446 contradict Billy Meier's Contact Reports, but its also makes anyone who claims True Pi=3.1446 look like an idiot, buffoon, and uneducated moron when presenting this True Pi=3.1446 nonsense to academia. We can thank Christian Frehner, Michael Horn and Harry Lear for promoting and spreading the True Pi=3.1446 LIE within the FIGU Community and folks need to come to their senses and realize this was all a LIE foolishly perpetrated by trusted FIGU spokespersons Christian Frehner and Michael Horn as documented here https://hushdubwah.wixsite.com/figu-com ... challenges

[Arthur]

Now we have a new feature ! : “friends and foe list” to remove all the toxic wind.

Thanks to admin

[C.B.]

HI Arthur and thanks for your answer.

Let’s review your points:

*Mathematic are hypothesis based. It is deductive reasoning.*
*They are not based on observation, with inductive reasoning like measurement.*

As far as I know, Math is based on rational demonstration.

*Discovering the value of pi means hypothesis cannot include the value we are searching for. Otherwise it is a circle reasoning.*

My derivation doesn’t include the numerical value of π.

*4b=pi means squaring the circle is possible for a 1 unit diameter circle.*
*We don't know because we don't know pi yet.*

With 4b=π we aren’t squaring the Circle but just calculating its numerical value.

*The equation b^4 + b^2 = 1 is artificially constructed.*
*Using As and Ac from b (or PI because b = pi/4) as side of a right triangle.*

I don’t know exactly what you mean by “artificially” constructed but if I have two values x and x^2 and I can determine the hypotenuse, I can solve over Pythagoras and find out the numerical value of x.
b in this case. Pythagoras works with values.


This triangle (1, b, b^2) is a Kepler triangle because the only one triangle who has a property saying :
Hypothenuse * Base = Height^2
With Hypothenuse = 1 we have Base = Height^2
(This is the basis of the geometry of the Great Pyramid of Giza told by Herodotus, see mypost)
and so base = 1/ɸ and height = 1 / ɸ * √ɸ = 1 / √ɸ.
with b = 1/√ɸ , 4b = pi and pi = 4/√ɸ = 3.1446

Yes it is a Kepler Triangle. And so?
It is the result of the derivation not a premise. By writing the premise 4b=π there is no way to presume there is any Kepler Triangle involved.


So there is no discovery of pi but :

- Hypothesis pi = 4b

This is no hypothesis at all.
I can express π as 4b.It is a fact. Except you can show that there are no Squares with the same perimeter as Circles.


For the real demonstration of the value of pi a real circle must be used as its was done with Harry Lear measurement.

There are no “real circles” but only objects resembling circles.
Archimedes used to work out his mathematical formulae at 3d Models made out of wood, but, at the end he came down with a mathematical expression and its mathematical derivation. There is no demonstration of anything in Math working only on 3D models.


The result of your demonstration is correct.

….and the method.
To say the equation b^4 + b^2 = 1 is artificially constructed doesn't refute anything.
These relationship btw the values is not “artificial” but natural, because the sum of the legs squares are naturally the square of the hypotenuse. Pythagoras didn’t arbitrary invent these proportions.

Pi must be found without using it in the calculation.

If you don’t include the nominal value of π in the equation, how do you know you are going to find out the π value?!

[Hush]

Hey there Arthur and C.B.,

Why not stop playing pretend mathematics, focus on items that directly concern the FIGU and its Mission instead of pushing your True Pi=3.1446 nonsense onto the FIGU Community. How about, maybe, read and understand what Billy Meier has stated about Pi in CR #251, #712 and #722 for starters.

[C.B.]

Look up there what is written underneath the title Future Of Mankind Forum.
So, if you want to make any comment about the math of π 3.1446 you’re welcome. Otherwise, please, hold back.

[Arthur]

C.B,

The advantage of your method is that it is short.
So there is few steps to analyse.

2 in fact.

So maths are based on hypothesis by its nature.

"Let a square with side x...."
"Let a triangle with one angle x°...."
"Let a segment line of length x...."
"Let a circle with radius x...."
"Let this, let that ..."

Not on observation like it is done to measure the speed of light, your size, gravity constant or other movement, energy etc...

Maths are deductive (top down approach) and observation, measurement are inductive (bottom up approach).

Measuring pi need BOTH. Discover the value and explain the value.

Inductive :
Observation first with measurement.
Once the result is validated with reproducibility.
The observation become the hypothesis.

Deductive:

The hypothesis is the number observed.
What is this number ?
Fibonacci number -> ɸ^2=ɸ+1 -> Pythagorean theorem -> Kepler triangle, 4 * base / Height give the explanation of the result observed and the solution of the equation x^4+16x^2-256=0

If we stay with maths only like with your demonstration :

1 - let 4b = pi

But we don't know if 4b = PI
It suppose that the circle can be squared which we don't know because we don't know pi.

So the hypothesis 4b=PI use pi in its term which is what we search for.
So there is a problem. It is a circular reasoning.

2 - The triangle (1, b^2, b)

It is another hypothesis.
There is countless of right triangle with hypothenuse=diameter 1 in a semi-circle.
But it is (1, b^2, b) that is chosen.
And this one fit the result because its a Kepler triangle so we know the value of b and with 4b=pi we have the result pi = 4/√ɸ= 3.1446
So it's not a discovery.

Inductive (observation) and deductive (hypothesis=observation) reasoning are needed to solve the pi value.

For physical constant observation, discovering the value is sufficient.
No explanation is necessary. (speed of light , gravity).
Pi is different because it is a math constant that can and must be measured.

[Hush]

Hey Arthur and C.B.,

You can stop coloring your fake Pi=3.1446 proofs because all you need to do to understand why Pi=3.1446 is physically impossible, is read Billy Meier's Contact Report #722 where he clearly states True Pi is UNKNOWN. Then read Ptaah's comments in CR #712 where he states KNOW-IT-ALLS will foolishly claim they've discovered the TRUE Pi value. Then, read Billy CR #251 where he states Earth's brilliant scientists are the ones who solve the error in Pi not present day Know-it-Alls. Jeepers-creepers you Pi Radicals are a total lost cause. Unbelievable. Go to school and learn real mathematics instead of that pretend math you always push on the FIGU Community.

[C.B.]

Hi Arthur!


But we don't know if 4b = PI
It suppose that the circle can be squared which we don't know because we don't know pi.

Well, we do know that 4b can be = to π.
If we suddenly realize that we don’t know it we have to rewrite Math and geometry. It would mean no one can make an equivalence btw two different geometric figures anymore.
We don’t need to know the numerical value of π but just its nominal one which is π.

2 - The triangle (1, b^2, b)
It is another hypothesis.
There is countless of right triangle with hypothenuse=diameter 1 in a semi-circle.
But it is (1, b^2, b) that is chosen.

This is no hypothesis, it is a result of the derivation.
We do not assume the areas As and Ac to be b^2 and b respectively. They are b^2 and b.
And you’re right, there are, in fact, infinite right triangles inscribed in a semicircle but only one in the form of h; x and x^2.
As we calculated b and b^2 for Diameter = 1, to keep the nominal values of b and b^2 we choose h=1.
It is not “chosen” arbitrary as you seem to insinuate.
The Triangle 1; b and b^2 is a result in the derivation not a hunch.
It is a very simple math Arthur. Do not try to blur it with unnecessary assumptions and axioms.