Circle the Square

[Alexioco]

Squaring the circle (square with an area equal to the circles area) is supposed to be impossible using just straight edge and compass without using measurements. So instead I tried to circle the square using no meassurements, just straight edge and compass (using paint).

I came up with a geomerty and the end result appears to be a circle with an area equal to the square without using meassurements. Now there are two things I'm thinking;

1. I have made a wrong calculation meaning that the areas are not quite the same.

or/and

2. This has already been done.

My question is, is it suppoed to be impossible both ways? By this I mean squaring the circle and also circling the square, or is circling the square common knowledge?

Edit: I forgot to mention that at the very start, a square is supplied with would have had to be meassured.

Alex

[Alexioco]

Below is the geometry all in one diagram. The red square is what i started with and the red circle is the result. Not 100% sure if the areas are equal.

Alex

[Fletcher]

Area of Circle = Pi.r^2

Area of Square = X.Y => sides 1.772r [approx]

You need to show the progression of starting with the red square & arriving at the last red circle in logical steps, using only visual clues such as geometric intersections, reference points etc, IINM.

You can calculate your areas & see if they match - the line thicknesses makes a difference so choose either inside or outside line edges for measurement accuracy.

[path_finder]

The Aegyptians used 3 (three) for pi (according to the ropes found divided in three).
It was an error less than 5%, undetectable in normal view.
But for sure the value of pi is FOUR, like demonstrated here:
http://blog.bfg9000.co.uk/pi-equal-4-discuss/
Finally we can say: 'in medio veritas' (the truth is in the middle).

[daxwc]

There are now steps with a compass and non-measured straight edge to "Squaring the Circle", that have been said that if the circle was the moon the error would be out just 2 acres. It has been mathematically proved for some time that it can’t be done due to Pi is a never ending number. If you try to divide a never ending number by 2 what happens, you get a never ending division and error.

My question is, is it suppoed to be impossible both ways? By this I mean squaring the circle and also circling the square, or is circling the square common knowledge?

Edit: I forgot to mention that at the very start, a square is supplied with would have had to be meassured.

You answered your own question, you have measured the square and now in violation.




My biggest question Alex is why? Saying that, knowledge is a powerful thing, never cease to try to learn.

[Alexioco]

sorry for the late reply.

Yeah this is something I want to look into. I drew the steps that I took for this geometry, I have attached the picture below.



Alex

[Alexioco]

Ok I tried this on paper and it seems that it doesnt truly square the circle. The area of my drawn square is 36 square cm and the area of my circle is 38.4 square cm. Close but not squaring the circle, oh well...

Alex

[barksalot]

oops I did not read the first post very close.

never mind.

[Liddz]

The circle can be squared. Ferdinand Von Lindemann only proved that the approximation of Pi = 4 divided by the square root of 1.621138938277405 = 3.141592653589793 is a transcendental number but he did NOT prove that squaring the circle is impossible he just assumed so. Squaring the circle can be achieved without using Pi. Pi is now redundant because all circle calculations can be done with the square root of Phi = 1.272019649514069 instead. The square root of Phi = 1.272019649514069 unlocks the true value of Pi = 4/√φ = 3.144605511029693144. Remember that MOST mathematicians still have NOT found the real value of Pi. Yes 4 divided by the square root of 1.621138938277405 = 3.141592653589793 is the value of Pi that has been programmed into our calculators and is used by most mathematicians and is said to be an irrational transcendental number.

The real exact value of Pi = 4/√φ = 3.144605511029693144. The true value of Pi = 3.144605511029 is NOT Transcendental:

Pi = 4/√φ = 4 divided by 1.2720196495141 = 3.144605511029.
π = 4/√φ = 3.144605511029693144.


THE REAL VALUE OF Pi IS NOT TRANSCENDENTAL BECAUSE THE REAL VALUE OF PI = 4/√φ = 3.144605511029693144 IS THE ONLY VALUE OF PI THAT CAN FIT THE FOLLOWING POLYNOMIAL EQUATION:

4th dimensional equation/polynomial for Golden Pi = 3.144605511029693

Minimal Polynomial:

x4 + 16x2 – 256 = 0.

https://www.tiger-algebra.com/drill/x~4-16x~2-256=0/

THE REAL VALUE OF PI = 4/√φ = 3.144605511029693144:

Please copy and paste the following link into your web browser if you cannot click onto the following link:

https://www.wolframalpha.com/input/?i=4 ... lden+ratio

PLEASE CLICK ON THE RED DOTS IN THE FOLLOWING LINK TO CONFIRM THAT THE REAL VALUE OF PI = 4/√φ = 3.1446 IS NOT TRANSCENDENTAL.

THE REAL VALUE OF PI = 4/√φ = 3.144605511029693144.

Minimal polynomial:

x4 + 16x2 – 256 = 0

https://www.wolframalpha.com/input/?i=x ... +256+%3D+0

3D plot of a graph proving that the real value of Pi is NOT transcendental:

(Please click on to the following links or copy and them into your web browser):

PLEASE DOWNLOAD THE GOOGLE DRIVE LINK

https://drive.google.com/file/d/1nT0xGI ... sp=sharing

• Panagiotis Stefanides fourth order equation:

http://www.stefanides.gr/Html/piquad.html

• Panagiotis Stefanides: Quadrature of circle, theoretical definition:

http://www.stefanides.gr/Html/QuadCirc.html

• 2/Sqrt[Sqrt[GoldenRatio]]

2/√√φ = the square root of 3.144605511029693144.

(Square root of Pi = 2 divided by 1.127838485561682 = 1.773303558624324)

http://www.wolframalpha.com/input/?i=2% ... 8%9A%CF%86

(-256 + 16 x^4 + x^8)

(x8 + 16x4 – 256)

http://www.wolframalpha.com/input/?i=-2 ... DShow+less


The Non Transcendental, Exact Value of π and the Squaring of the Circle 1:

https://www.youtube.com/watch?v=ccxVW2M ... 1876258142

The Non Transcendental, Exact Value of π and the Squaring of the Circle 3:

https://www.youtube.com/watch?v=-QCtnZjZIsw

Pi by phi quadrature: https://www.youtube.com/watch?v=CRkIKSkVzPA

Pi by Phi saved archive: http://archive.is/b02DL

Pi by Phi quadrature: http://quadrature-code.blogspot.co.uk/

Quadrature blogspot conclusions http://quadrature-code.blogspot.co.uk/p ... sions.html

Quadrature blogspot Holistic: http://quadrature-code.blogspot.co.uk/p ... -view.html

√√φ = 1.127838485561682 is the key to creating a circle and a square with the same surface area.

The following Wolfram alpha site gives us information about the ratio √√φ = 1.127838485561682 =

http://www.wolframalpha.com/input/?i=&# ... 8730;φ

MEASURING PI SQUARING PHI: www.measuringpisquaringphi.com


The square root of Phi = 1.272019649514069:

(-1 - x^2 + x^4) http://www.wolframalpha.com/input/?i=%E2%88%9A%CF%86


The square root of the square root of Phi = 1.127838485561682 .

(-1 - x^4 + x^8) http://www.wolframalpha.com/input/?i=&# ... 8730;φ


Ferdinand von Lindemann:

https://en.wikipedia.org/wiki/Ferdinand_von_Lindemann

Lindemann–Weierstrass theorem: https://en.wikipedia.org/wiki/Lindemann ... ss_theorem

Squaring the Circle The circle can be squared by Miles Mathis:
http://milesmathis.com/square.html



Panagiotis Stefanides - MOV01269.MPG PCST POINT ON THE CIRCLE THE SQUARE THE TRIANGLE:

https://www.youtube.com/watch?v=Y-wqxqxbqTw

How to determine a circle and a square of equal perimeter:

https://www.wikihow.com/Determine-a-Squ ... -Perimeter

Pyramid and Squaring the circle:

http://www.dailymotion.com/video/xijbpv ... OG_HTML5=1

Pi = 3.144 #198: https://www.youtube.com/watch?v=asJ1xDh4UfU

Golden rectangle: https://en.wikipedia.org/wiki/Golden_rectangle

How to draw a Golden Ratio Spiral:

https://www.youtube.com/watch?v=2VtYyHx77cs&t=76s

Traditional Pi a deficient value: https://universalzeropoint.com/2017/10/ ... ent-value/

Squaring The Circle Update - The True Value Of PI's Fractal Nature Shown In Geometry:

https://www.youtube.com/watch?v=20BLj_2Ny48&t=41s

Fractal Symmetry of the Squared Circle #202:

https://www.youtube.com/watch?v=eGIocMQYTcs


Jain 108: Jain108 the real value of Pi:

http://www.jainmathemagics.com/truevalueofpijainpi/

432 Activists - 13 - Jain 108 and Sacred Geometry:

https://www.youtube.com/watch?v=A5J8lbjyWMs

Download for free and keep and read The book of Phi volume 8: The true value of Pi = 3.144, by Mathematician and author Jain 108:

https://lists.gnu.org/archive/html/help ... jmqrL6.pdf


Download for free and keep and read The book of Phi volume 9: The true value of Pi = 3.144, by Mathematician and author Jain 108:

https://drive.google.com/file/d/1cIEvbb ... sp=sharing

The real value of Pi = 4/√φ on Facebook:

https://m.facebook.com/TheRealNumberPi/

[Liddz]

Squaring the circle with equal areas part 2:

Squaring the circle involves creating a circle with a circumference equal to the perimeter of a square. The correct word for creating a circle that has a circumference that is equal in measure to the perimeter of a square is Rectifying the circle. The term Rectifying the circle is used to prevent confusion with the creation of a circle and a square with the same surface area because some people only think that the phrase squaring the circle only applies to creating a circle and a square with the same surface area and in many social circles of mathematicians squaring the circle is used only to describe the creation of a circle and a square with the same surface area. Also squaring the circle can involve creating a circle and a square with equal areas or approximate equal areas.

Squaring the circle can also include harmonious relationships such as the part of the square that intersects the circle’s circumference can be similar to the radius of the circle or the same as the radius of the circle or equal to half of the square’s edge length. Squaring the circle with the area of the square being equal to the area of the circle usually cannot be achieved with 100% accuracy because traditional Pi 3.141592653589793 has been proven to be Transcendental in addition to being irrational. Traditional Pi 3.141592653589793 is Transcendental because Traditional Pi 3.141592653589793 does not fit any polynomial equations.

Squaring the circle becomes possible and easy after traditional Pi 3.141592653589793 has been rejected and replaced with other values of Pi that are NOT transcendental. Golden Pi = 3.144605511029693 is irrational but Golden Pi is NOT transcendental because Golden Pi = 3.144605511029693 is the only value of Pi that fits the following polynomial equation:

4th dimensional equation/polynomial for Golden Pi = 3.144605511029693

x4 + 16x2 – 256 = 0.

https://www.tiger-algebra.com/drill/x~4-16x~2-256=0/

Pi Math Proof: http://measuringpisquaringphi.com/pi-math-proof/

A polynomial is an expression consisting of variables (or indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. An example of a polynomial of a single indeterminate x is x2 − 4x + 7. An example in three variables is x3 + 2xyz2 − yz + 1.

Polynomials appear in a wide variety of areas of mathematics and science. For example, they are used to form polynomial equations, which encode a wide range of problems, from elementary word problems to complicated problems in the sciences; they are used to define polynomial functions, which appear in settings ranging from basic chemistry and physics to economics and social science; they are used in calculus and numerical analysis to approximate other functions. In advanced mathematics, polynomials are used to construct polynomial rings and algebraic varieties, central concepts in algebra and algebraic geometry.

Both Golden Pi = 3.144605511029693 and Pi accepted as 22 divided by 7 = 3.142857142857143 can be used to create a circle and a square with equal areas of measure involving 100% accuracy. 2 examples of creating a circle and a square with 100% accuracy:

22 divided by 7 = 3.142857142857143 as Pi is an algebraic number:

Is 22/7 = 3.142857142857143 algebraic ?:

https://www.wolframalpha.com/input/?i=i ... ebraic+%3F

Minimal polynomial:

7 x – 22

https://www.wolframalpha.com/input/?i=7+x+-+22

Squaring the circle with equal areas using Pi as 22 divided by 7 = 3.142857142857143:

Area of circle = 154.

Diameter of circle = 14.

Circumference of circle = 44.

Pi as 22 divided by 7 = 3.142857142857143.

Calculating the surface area of a circle

Radius of circle = 7.

7 squared = 49.

49 multiplied by Pi as 22 divided by 7 = 3.142857142857143 = 154.

A square with a surface area of 154 units of measure can be created as the mean proportional of a rectangle that has its longer edge as 14 equal units of measure while the shorter edge of the rectangle is 11 equal units of measure. If the longer edge of a rectangle is 14 equal units of measure and is equal to the diameter of a circle while the shorter edge of the rectangle is 11 equal units of measure then both the rectangle and the circle have the same surface area.

The surface area of a rectangle with its longer edge length as 14 equal units of measure while the shorter edge length is 11 equal units of measure is equal to 154 equal units of measure and the mean proportional of a rectangle with its longer edge length as 14 equal units of measure while the shorter edge length is 11 equal units is the square root of 154.


A square with a surface area of 154 equal units of measure can
also be created according to the Pythagorean theorem through the following
formula:

12 squared = 144.

3 squared = 9.

1 squared = 1.

144 + 9 + 1 = 154.




PLEASE CLICK ON THE FOLLOWING LINKS FOR VISUAL PROOF.

https://www.geogebra.org/geometry/qrsg5xvv

https://www.geogebra.org/geometry/xvpeyzfp

https://www.geogebra.org/geometry/q2qfra7t

[Liddz]

Another example that the circle can be squared:

Common sense should tell any mathematician that if a rectangle and a circle can have the same surface area then a square and a circle can also have the same surface area because the rectangle's mean proportional can be used to create a square with the same surface area as the rectangle and if the shorter edge of a rectangle is equal in measure to the radius of a circle while the longer edge of the rectangle is equal to half the circumference of the circle then the rectangle and the circle MUST have the same surface area and since we have already got a rectangle and a circle with the same surface area the next step is to use the rectangle's mean proportional to create a square with the same surface area as both the rectangle and the circle.

It is so easy to understand that squaring the circle is easy to do and we do NOT need Pi to square the circle but still stupid mathematicians are claiming that the circle cannot be squared in 2019 when such a claim as the circle cannot be squared with compass and straight edge has been proven to be 100% FALSE.

If the circumference of a circle is 12 then the diameter of the circle is 3.8160589485423 according to real value of Pi = 4/√φ = 3.1446055110296.

3.8160589485423 divided by 2 = the radius of the circle = 1.9080294742712. 1.9080294742712 squared = 3.6405764746876. 3.6405764746876 multiplied by the real value of Pi = 3.144605110296 = the surface area of the circle = 11.448176845627.

The longer edge of the rectangle is 6 and the shorter edge of the rectangle is 1.9080294742712.The radius of a circle with a circumference of 12 again = 1.9080294742712. 1.9080294742712 multiplied by 6 = 11.448176845627. The edge of the square with the same surface area as a circle with a circumference of 12 is equal to 3.3835154566851. 3.3835154566851 divided by 3 = √√φ = 1.127838485561682.

If a circle and a square are created with the same surface area and then the diameter of the circle is divided by the edge of the square the result is the √√φ = 1.127838485561682.

Always remember that the square root of the Golden ratio = 1.272019649514069 can be used to transfer the total curvature that is the arc length of a circle to a straight line.

The claim that the perimeter of the square is the same measure as the arc length of the circle due to the measure of the arc length of the circle being derived with the use of the square root of the Golden ratio = 1.272019649514069 can be confirmed if a circle with a 1-meter diameter is created and the diameter of the circle is multiplied around the curvature of the circle confirming that the correct value for Pi MUST be 3.1446. The Kepler right triangle also confirms that ratio for a circle’s circumference divided by a circle’s diameter is 3.1446.


Please remember that there are 2 examples of a rectangle having the same surface area as a circle. The first example of a rectangle with the same surface area as a circle involves the radius of the circle having the same measure as the shorter edge of the rectangle while half the circumference of the circle is equal in measure to the longer edge of the rectangle.

The second example of a rectangle with the same surface area as a circle is when the longer edge of the rectangle is equal in measure to the diameter of the circle while the shorter edge of the rectangle is equal in measure to 1 quarter of the circumference of the circle.

Please remember that if a rectangle is created with its longer edge length being equal to half the circumference of the circle while its shorter edge length is equal to the radius of the circle then the ratio of the longer edge of the rectangle divided by the shorter edge of the rectangle is Pi = 4/√φ = 3.144605511029693144.

Please remember that if a rectangle is created with its longer edge length being equal to the diameter of a circle while the shorter edge of the rectangle is equal to 1 quarter of circumference of the circle then the ratio of the longer edge of the rectangle divided by the shorter edge of the rectangle is the square root of the Golden ratio = 1.272019649514069.

Please remember that the ratio of a circle’s diameter divided by 1 quarter of the circumference is the square root of the Golden ratio = 1.272019649514069.

Please remember that the ratio of a circle’s radius divided by 1 eighth of the circumference for the circle is the square root of the Golden ratio = 1.272019649514069.

Please remember that if the second longest edge length of a Kepler right triangle is divided by 1 quarter of the shortest edge of a Kepler right triangle the result is the ratio 4 times the square root of the Golden ratio = 5.088078598056276.

The square root of the Golden ratio = 1.272019649514069. 1.272019649514069 multiplied by 4 = 5.088078598056276.

Please remember that the surface area of the square that is located on the shortest edge length of a square root of the Golden ratio = 1.272019649514069 rectangle is the same as the surface area of a circle with a diameter that is equal in measure to the square root of the surface area of the square root of the Golden ratio = 1.272019649514069 rectangle.

The mean proportional of a rectangle is the edge of a square and the square root for the surface area of the rectangle. The concept of a rectangle’s mean proportional is derived from Euclid’s elements book 6 proposition 13.



The following YouTube video also admits that if a circle and a rectangle have the same surface area then the longer edge of the rectangle is equal to half the circumference of the circle while the shorter edge of the rectangle is equal to the radius of the circle:

• Draw Triangle with Same Area as Rectangle:

https://www.youtube.com/watch?v=hOVuy_Z2BLY&t=39s

• Convert a triangle to a rectangle of equal area: https://www.youtube.com/watch?v=v1HwSEE5BaY


• Converting a triangle to a rectangle of equal area: https://www.youtube.com/watch?v=qmkzWkic1jw

• To construct a square of equal area to a rectangle using the mean proportional: https://www.youtube.com/watch?v=iRPK8Kh2VUY&t=49s

• Converting rectangle to a square of equal area: https://www.youtube.com/watch?v=WB74RFm_QUc

• Constructing a rectangle into a square with equal area by using the mean proportional – 16182588: https://www.youtube.com/watch?v=Rd7BDY5DuaU

• The Area Of A Circle Formula - Simple Intuitive Explanation: https://www.youtube.com/watch?v=lZa312pEcTw

• area of circle = area of rectangle: https://www.youtube.com/watch?v=8fW6bSzJPVE

• The Area of a Circle – Maths the same as rectangle: https://www.youtube.com/watch?v=l0tJRQRgkMI

• Area of Circle Proof || Maths Project ||: https://www.youtube.com/watch?v=OF2NfjoVW2o

• Euclid’s elements Book VI Proposition 13: https://mathcs.clarku.edu/~djoyce/eleme ... pVI13.html

Do NOT use Pi to square the circle instead Rectify the circle and square the circle to find Pi. Rectify the circle applies to the creation of a circle with a circumference that is equal in measure to the perimeter of a square while squaring the circle applies to the creation of a circle and a square with the same surface area.

For equal perimeters use the √φ = 1.272019649514069.

For equal areas use √√φ = 1.127838485561682.

Pi = 4/√φ = 3.144605511029693144.


I previously thought that squaring the circle was impossible until I discovered the square root of the Golden ratio and the real value of Pi = 4/√φ = 3.144605511029693144.

Please remember that the real value of Pi = 3.144605511029693144 is NOT Transcendental because only the real value of Pi = 4/√φ = 3.144605511029693144 can fit the following polynomial equation:

4th dimensional equation/polynomial for Golden Pi = 3.144605511029693

Minimal Polynomial:

x4 + 16x2 – 256 = 0.


THE REAL VALUE OF Pi IS NOT TRANSCENDENTAL BECAUSE THE REAL VALUE OF PI = 4/√φ = 3.144605511029693144 IS THE ONLY VALUE OF PI THAT CAN FIT THE FOLLOWING POLYNOMIAL EQUATION:

4th dimensional equation/polynomial for Golden Pi = 3.144605511029693

Minimal Polynomial:

x4 + 16x2 – 256 = 0.

https://www.tiger-algebra.com/drill/x~4-16x~2-256=0/

THE REAL VALUE OF PI = 4/√φ = 3.144605511029693144:

Please copy and paste the following link into your web browser if you cannot click onto the following link:

https://www.wolframalpha.com/input/?i=4 ... lden+ratio

PLEASE CLICK ON THE RED DOTS IN THE FOLLOWING LINK TO CONFIRM THAT THE REAL VALUE OF PI = 4/√φ = 3.1446 IS NOT TRANSCENDENTAL.

THE REAL VALUE OF PI = 4/√φ = 3.144605511029693144.

Minimal polynomial:

x4 + 16x2 – 256 = 0

https://www.wolframalpha.com/input/?i=x ... +256+%3D+0

3D plot of a graph proving that the real value of Pi is NOT transcendental:

(Please click on to the following links or copy and them into your web browser):

PLEASE DOWNLOAD THE GOOGLE DRIVE LINK

https://drive.google.com/file/d/1nT0xGI ... sp=sharing

• Panagiotis Stefanides fourth order equation:

http://www.stefanides.gr/Html/piquad.html

• Panagiotis Stefanides: Quadrature of circle, theoretical definition:

http://www.stefanides.gr/Html/QuadCirc.html

• 2/Sqrt[Sqrt[GoldenRatio]]

2/√√φ = the square root of 3.144605511029693144.

(Square root of Pi = 2 divided by 1.127838485561682 = 1.773303558624324)

http://www.wolframalpha.com/input/?i=2% ... 8%9A%CF%86

(-256 + 16 x^4 + x^8)

(x8 + 16x4 – 256)

http://www.wolframalpha.com/input/?i=-2 ... DShow+less


The Non Transcendental, Exact Value of π and the Squaring of the Circle 1:

https://www.youtube.com/watch?v=ccxVW2M ... 1876258142

The Non Transcendental, Exact Value of π and the Squaring of the Circle 3:

https://www.youtube.com/watch?v=-QCtnZjZIsw

Pi by phi quadrature: https://www.youtube.com/watch?v=CRkIKSkVzPA

Pi by Phi saved archive: http://archive.is/b02DL

Pi by Phi quadrature: http://quadrature-code.blogspot.co.uk/

Quadrature blogspot conclusions http://quadrature-code.blogspot.co.uk/p ... sions.html

Quadrature blogspot Holistic: http://quadrature-code.blogspot.co.uk/p ... -view.html

√√φ = 1.127838485561682 is the key to creating a circle and a square with the same surface area.

The following Wolfram alpha site gives us information about the ratio √√φ = 1.127838485561682 =

http://www.wolframalpha.com/input/?i=&# ... 8730;φ

MEASURING PI SQUARING PHI: www.measuringpisquaringphi.com


The square root of Phi = 1.272019649514069:

(-1 - x^2 + x^4) http://www.wolframalpha.com/input/?i=%E2%88%9A%CF%86


The square root of the square root of Phi = 1.127838485561682 .

(-1 - x^4 + x^8) http://www.wolframalpha.com/input/?i=&# ... 8730;φ

[Liddz]

"Mathematical proof that a Kepler right triangle can be used to create a circle with a circumference equal in measure to the perimeter of a square":

The Golden ratio Phi = the square root of 5 Plus 1 divided by 2 = 1.618033988749895.

The Golden ratio in Trigonometry is also equal to cosine (36) multiplied by 2 = 1.618033988749895.

The ratio 1.272019649514069 is the square root of the Golden ratio Phi = 1.618033988749895.

Circumference of circle is 8 times the square root of the Golden ratio = 1.272019649514069 = 10.176157196112552.

The circumference of the mentioned circle is equal to 10.176157196112552 equal units of measure.

The diameter of the circle is equal in measure to the square root of 5 = 2.23606797749979 plus 1 = 3.23606797749979.

10.176157196112552 divided by 3.23606797749979 = Golden Pi = 3.144605511029693.

If Golden Pi is multiplied by the measure for the diameter of a circle the result is the measure for the circumference of the circle. Golden Pi = 3.144605511029693 multiplied by 3.23606797749979 = the measure for the circumference of a circle that is equal to 10.176157196112552 units of measure. If the diameter of a circle is divided by the square root of the Golden ratio = 1.272019649514069 the result is a measure that is equal to 1 quarter of the circle’s circumference.

If the edge of a square is equal in measure to 1 quarter of a circle’s circumference then the perimeter of the square is equal in measure to the circumference of the circle. The diameter of the mentioned circle = 3.23606797749979 divided by the square root of the Golden ratio = 1.272019649514069 = 2.544039299028138. 2.544039299028138 is 1 quarter of the ratio 10.176157196112552.

The circumference of the circle is equal to 10.176157196112552 equal units of measure according to Golden Pi = 3.144605511029693. The perimeter of the square is equal also to 10.176157196112552 equal units of measure according to the square root of the Golden ratio = 1.272019649514069.

The diameter of the circle is also used as the second longest edge length of a Kepler right triangle while the shortest edge length of the Kepler right triangle is equal in measure to 1 quarter of the circle’s circumference.



If the hypotenuse of the Kepler right triangle is divided by 1 quarter of the circle’s circumference the result is equal to the Golden ratio of cosine (36) multiplied by 2 = 1.618033988749895.

"Circumference of circle equal to the perimeter of a square according to Pi = 4/√φ = 3.144605511029693144 computed by wolfram alpha."

Example 1 =

Pi = 4/√φ = 3.144605511029693144

Perimeter of square = (8 multiplied by the square root of Phi) = 10.17615719611255171401937969389993193372486433472076998893.

Diameter of circle = (the square root of 5 plus 1) = 3.236067977499789696409173668731276235440618359611525724270.

Pi = 4/√φ = 3.144605511029693144 multiplied by the diameter of the circle = 3.236067977499789696409173668731276235440618359611525724270 = the circumference of the circle = (8 multiplied by the square root of Phi) = 10.17615719611255171401937969389993193372486433472076998893.

Example 2 =

Pi = 4/√φ = 3.144605511029693144278234343371835718092488231350892950659.

Perimeter of square = 4 multiplied by √φ = 5.088078598056275857009689846949965966862432167360384994466.

Diameter of circle = Golden ratio = 1.618033988749894848204586834365638117720309179805762862135.

Pi = 4/√φ multiplied by φ = Circumference of circle = 5.088078598056275857009689846949965966862432167360384994466.

Circumference of circle has the same numerical value as the perimeter of a square according to √φ multiplied by 8 divided by √5+1 = 3.144605511029693144:

The true value of Pi = 4/√φ = 3.144605511029693144:

• https://www.wolframalpha.com/input/?i=4 ... lden+ratio



• https://www.wolframalpha.com/input/?i=% ... 88%9A5%2B1

√φ times 8: https://www.wolframalpha.com/input/?i=% ... 86+times+8


Perimeter of square = √φ times 8

10.1761571961125517140193796938999319337248643347207699889331230603143806042885440946430737199076820683081131810938242120456827049505186821193755587659569488346791563921368952527497237819076403010434116773051725943622248104895001810500747823422792162090394295876085072370914422732953456908318662681828743713535418356154133183926888075840404219574599203252973965442031629143754603832635502910004889882024997535642471954358923276744972639799103619273737586308985182391995701485078538967781329915808636606162269907273456154696799779477372764689689808132543050761309811724720974656929670906503949542079678022565724397168084251053352900392852303241739640114675021164648399702987947254185972770302601205300577518297806814258755025059517880409459001988517368914203699838662648129239477671163999483853403010598486690903819059495715299257551146101178706890817596553517979552842222055939703945081097097260700625940841535249.


4/√φ times √5 + 1:
• https://www.wolframalpha.com/input/?i=4 ... %9A5+%2B+1

Diameter of circle = √5 + 1.

Circumference of circle = 4/√φ times √5 + 1.

Circumference of circle also = √φ times 8.

10.1761571961125517140193796938999319337248643347207699889331230603143806042885440946430737199076820683081131810938242120456827049505186821193755587659569488346791563921368952527497237819076403010434116773051725943622248104895001810500747823422792162090394295876085072370914422732953456908318662681828743713535418356154133183926888075840404219574599203252973965442031629143754603832635502910004889882024997535642471954358923276744972639799103619273737586308985182391995701485078538967781329915808636606162269907273456154696799779477372764689689808132543050761309811724720974656929670906503949542079678022565724397168084251053352900392852303241739640114675021164648399702987947254185972770302601205300577518297806814258755025059517880409459001988517368914203699838662648129239477671163999483853403010598486690903819059495715299257551146101178706890817596553517979552842222055939703945081097097260700625940841535249.

Another simplified example of circumference of circle and perimeter of square with the same numerical value according to 4/√φ = 3.144605511029693144:

The ratio 4 DIVIDED BY THE SQUARE ROOT OF 1.621138938277405 = 3.141592653589793 IS THE WRONG VALUE OF PI.

The ratio 4 DIVIDED BY THE SQUARE ROOT OF 1.621138938277405 = 3.141592653589793 IS A TRANSCENDENTAL RATIO.

THE CORRECT VALUE OF PI = 4 DIVIDED BY THE SQUARE ROOT OF THE GOLDEN RATIO = 3.144605511029693144.

Okay the diameter of the circle is the Golden ratio of Cosine (36) multiplied by 2 = 1.618033988749895.

THE SQUARE ROOT OF THE GOLDEN RATIO = 1.272019649514069.

THE SQUARE ROOT OF THE GOLDEN RATIO = 1.272019649514069 MULTIPLIED BY 4 = 5.088078598056276.

THE PERIMETER OF THE SQUARE IS 4 TIMES THE SQUARE ROOT OF THE GOLDEN RATIO = 5.088078598056276.

THE CORRECT VALUE OF PI = 4 DIVIDED BY THE SQUARE ROOT OF THE GOLDEN RATIO = 3.144605511029693144 MULTIPLIED BY DIAMETER OF THE CIRCLE THE GOLDEN RATIO OF COSINE (36) MULTIPLIED BY 2 = 1.618033988749895 = 4 TIMES THE SQUARE ROOT OF THE GOLDEN RATIO = 5.088078598056276.

PERIMETER OF SQUARE = THE SQUARE ROOT OF THE GOLDEN RATIO = 1.272019649514069 MULTIPLIED BY 4 = 5.088078598056276.

DIAMETER OF CIRCLE = THE GOLDEN RATIO OF COSINE (36) MULTIPLIED BY 2 = 1.618033988749895.

PERIMETER OF SQUARE = THE SQUARE ROOT OF THE GOLDEN RATIO = 1.272019649514069 MULTIPLIED BY 4 = 5.088078598056276 DIVIDED BY DIAMETER OF CIRCLE = THE GOLDEN RATIO OF COSINE (36) MULTIPLIED BY 2 = 1.618033988749895 = THE CORRECT VALUE OF PI = 4 DIVIDED BY THE SQUARE ROOT OF THE GOLDEN RATIO = 3.144605511029693144.

THE CORRECT VALUE OF PI = 4 DIVIDED BY THE SQUARE ROOT OF THE GOLDEN RATIO = 3.144605511029693144 MULTIPLIED BY DIAMETER OF CIRCLE = THE GOLDEN RATIO OF COSINE (36) MULTIPLIED BY 2 = 1.618033988749895 = THE CIRCUMFERENCE OF THE CIRCLE = THE SQUARE ROOT OF THE GOLDEN RATIO = 1.272019649514069 MULTIPLIED BY 4 = 5.088078598056276.


THE PERIMETER OF THE SQUARE HAS THE SAME NUMERICAL VALUE AS THE CIRCUMFERENCE OF THE CIRCLE AND THAT IS 4 TIMES THE SQUARE ROOT OF THE GOLDEN RATIO = 5.088078598056276 ACCORDING TO THE CORRECT VALUE OF PI = 4 DIVIDED BY THE SQUARE ROOT OF THE GOLDEN RATIO = 3.144605511029693144.

(Please click on to the following links or copy and them into your web browser):

PLEASE DOWNLOAD THE GOOGLE DRIVE LINKS,

https://drive.google.com/file/d/1VzWZ8Y ... sp=sharing

https://drive.google.com/file/d/1D7VyWT ... sp=sharing

[Liddz]

Another Golden example of a circle and a square with the same surface area computed by Wolfram Alpha.

If a circle and a square are created with the same surface and the diameter of the circle is divided by the edge of the square the result is √√φ = 1.127838485561682260264835483177042458436468335423655767290.

Circumference of circle = 12.

1 quarter of the circle’s circumference is 3.

Diameter of circle = √φ multiplied by 3 = 3.816058948542206892757267385212474475146824125520288745849.

• https://www.wolframalpha.com/input/?i=% ... plied+by+3

Pi = 4/√φ = 3.144605511029693144278234343371835718092488231350892950659.

• https://www.wolframalpha.com/input/?i=4 ... lden+ratio




Edge of square = √√φ multiplied by 3 = 3.383515456685046780794506449531127375309405006270967301870.

• https://www.wolframalpha.com/input/?i=% ... plied+by+3



3.383515456685046780794506449531127375309405006270967301870
squared = 11.44817684562662067827180215563742342544047237656086623754.

• https://www.wolframalpha.com/input/?i=3 ... 70+squared



Formula for calculating the surface area of a circle is 1 quarter of the circle’s circumference squared multiplied by the square root of the Golden ratio = √φ = 1.272019649514068964252422461737491491715608041840096248616.

Circumference of circle = 12.

1 quarter of the circle’s circumference = 3.

Diameter of circle = √φ multiplied by 3 = 3.816058948542206892757267385212474475146824125520288745849.

3 squared = 9.

9 multiplied by √φ = 1.272019649514068964252422461737491491715608041840096248616 =

11.44817684562662067827180215563742342544047237656086623754

• https://www.wolframalpha.com/input/?i=9 ... 8%9A%CF%86

The surface area of the square =

11.44817684562662067827180215563742342544047237656086623754.

The surface area of the circle also =

11.44817684562662067827180215563742342544047237656086623754.

11 methods for finding the surface area of a circle�:

Method 1 .The surface area of a circle can be known if the radius of a circle is squared and then multiplied by Golden Pi = 4/√φ = 3.144605511029693144.
.

Method 2. The surface area of a circle can also be known if half the circumference of the circle is multiplied by the measure for the diameter of the circle and then the result of multiplying half the measure for the circumference of the circle must be divided into 2 resulting in the measure for the surface area of the circle. An isosceles triangle that is made from 2 Kepler right triangles has the same surface area as a circle that has a diameter that is equal in measure to the height of the isosceles triangle that is made from 2 Kepler right triangles. If half the circumference of a circle is divided by the diameter of the circle the result is the half of the ratio Pi.

Method 3. The surface area of a circle can also be found if the radius of the circle is multiplied by half the circumference of the circle. If half the circumference of a circle is divided by the radius of a circle the result is the ratio Pi.

Method 4. The surface area of a circle can also be discovered if 1 quarter of the circle’s circumference is multiplied by the measure for the diameter of the circle.

Method 5. If the surface area of square that has a width equal in measure to 1 quarter of a circle’s circumference is multiplied by the square root of the Golden ratio = 1.272019649514069 the result is the surface area of the circle.

Method 6. If the diameter of a circle is divided by the ratio 1.127838485561682 the result is the edge of a square that has the same surface area as the circle. Please remember that the ratio 1.127838485561682 is the square root of the ratio 1.272019649514069 and the ratio 1.272019649514069 is the square root of the Golden ratio of Cosine (36) multiplied by 2 = 1.618033988749895.

Method 7. If the surface area of a square that has a width that is equal in measure to the diameter of a circle is divided by the square root of the Golden ratio = 1.272019649514069 the result is the surface area of the circle.

Method 8. If the surface area of a square that has a diagonal that is equal in measure to the diameter of a circle is multiplied by half of Golden Pi = 4/√φ = 3.144605511029693144 = 1.572302755514847 the result is the surface area of the circle.

Method 9. If the surface area of a square that has a diagonal that is equal in measure to the diameter of a circle is divided by half the square root of the Golden ratio = 0.636009824757035 the result is the surface area of the circle.

Method 10: Multiply the diameter of the circle by the ratio 1.347419325335723 to get the edge of an equilateral triangle that has the same surface area as the circle. Multiply the edge of the equilateral triangle by half the width of the equilateral triangle times the square root of 3 divided by 2 to get the surface area of the equilateral triangle and confirm that both the equilateral triangle and the circle have the same surface area.

The ratio 1.347419325335723 can be derived through the following formulas:

2/(√ (√3) X √√ φ = 1.347419325335723.

2/(√ (√3) multiplied by √√ φ = 1.347419325335723.

2/(√ (√3) multiplied by 1.127838485561682= 1.347419325335723.

2/(square root (square root 3) multiplied by square root square root Phi = 1.347419325335723.

2 (φ/3)^(1/4)/ √ φ = 1.347419325335723.

2 (1.618033988749895/3)^(1/4)/ 1.272019649514069 = 1.34741932533572.

2/(3 X Golden Ratio)^(1/4) = 1.347419325335723.

2/(3 times Golden Ratio)^(1/4) = 1.347419325335723.

2/(3 x Cos (36) x 2)^(1/4) = 1.347419325335723.

2/(3 x Sin (54) x 2)^(1/4) = 1.347419325335723.

2/(3 multiplied by φ)^(1/4) = 1.347419325335723.

2 divided by the Golden ratio multiplied by 3 ^(1/4) = 1.347419325335723.

3 times the Golden ratio = 4.854101966249685.

1/2 + √ (5)/2 = The Golden ratio = 1.618033988749895.

Method 11: Divide the diameter of the circle by the ratio = 1.479351567442321 to get the edge of a Pentagon that has the same surface area as the circle. Multiply the edge of the Pentagon by half the edge of the Pentagon times TAN (54) divided by 2 times 5 to calculate the surface area of the Pentagon and also confirm that both the Pentagon and the circle have the same surface area.

The ratio 1.479351567442321 can be derived through the following formulas:


√ (34 times 17 times TAN (54)/2 times 5) times √√φ/34 = 1.479351567442321.

√ (34 times 17 times TAN (54)/2 times 5) times 1.127838485561682/34 = 1.479351567442321.

(75/32 + (35 square root (5))/32)^(1/4)= 1.479351567442321.

1/2 (5/2 (15 + 7 square root (5)))^(1/4) = 1.479351567442321.

1/2 square root (5) (1/2 (1 + 2/square root (5)) (1 + square root (5)))^(1/4) = 1.479351567442321.


34 multiplied by 17 multiplied by TAN (54) divided by 2 multiplied by 5 = 1988.87187508084575.

34 X 17 X TAN (54)/2 X 5 = 1988.87187508084575.

Square root of 1988.87187508084575 multiplied by √√φ = the square root of the square root of Phi = 1.127838485561682 divided by 34 = 1.479351567442321.

√1988.87187508084575 multiplied by √√φ/34 = 1.479351567442321.

√1988.87187508084575 X √√φ/34 = 1.479351567442321.


(Please click on to the following links or copy and them into your web browser):

PLEASE DOWNLOAD THE GOOGLE DRIVE LINKS,

Example of proof:

https://drive.google.com/file/d/1cUtn-s ... sp=sharing

Geometric scan 1:

https://drive.google.com/file/d/1wN6-_G ... sp=sharing

Geometric scan 2:

https://drive.google.com/file/d/16QVibM ... sp=sharing


The true value of Pi = 3.144605511029 is NOT Transcendental:

Pi = 4/√φ = 4 divided by 1.2720196495141 = 3.144605511029.
π = 4/√φ = 3.144605511029693144.


THE REAL VALUE OF Pi IS NOT TRANSCENDENTAL BECAUSE THE REAL VALUE OF PI = 4/√φ = 3.144605511029693144 IS THE ONLY VALUE OF PI THAT CAN FIT THE FOLLOWING POLYNOMIAL EQUATION:

4th dimensional equation/polynomial for Golden Pi = 3.144605511029693

Minimal Polynomial:

x4 + 16x2 – 256 = 0.

https://www.tiger-algebra.com/drill/x~4-16x~2-256=0/

THE REAL VALUE OF PI = 4/√φ = 3.144605511029693144:

Please copy and paste the following link into your web browser if you cannot click onto the following link:

https://www.wolframalpha.com/input/?i=4 ... lden+ratio

PLEASE CLICK ON THE RED DOTS IN THE FOLLOWING LINK TO CONFIRM THAT THE REAL VALUE OF PI = 4/√φ = 3.1446 IS NOT TRANSCENDENTAL.

THE REAL VALUE OF PI = 4/√φ = 3.144605511029693144.

Minimal polynomial:

x4 + 16x2 – 256 = 0

https://www.wolframalpha.com/input/?i=x ... +256+%3D+0

3D plot of a graph proving that the real value of Pi is NOT transcendental:

(Please click on to the following links or copy and them into your web browser):

PLEASE DOWNLOAD THE GOOGLE DRIVE LINK

https://drive.google.com/file/d/1nT0xGI ... sp=sharing

• Panagiotis Stefanides fourth order equation:

http://www.stefanides.gr/Html/piquad.html

• Panagiotis Stefanides: Quadrature of circle, theoretical definition:

http://www.stefanides.gr/Html/QuadCirc.html

[Liddz]

More squaring the circle jargon:

Any circle can be squared with just compass and straight edge and you do NOT need to know anything about Pi to square a circle.

To square a given circle you MUST find 1 quarter of the circle's circumference for both Equal perimeters and also equal areas.

The ratio for the diameter of a circle divided by 1 quarter of a circle's circumference is the square root of the golden ratio = 1.272019649514069 or 4 DIVIDED BY PI.

THE ARC LENGTH OF THE CIRCLE CAN BE THE SAME MEASURE AS THE PERIMETER OF THE SQUARE BECAUSE THE SQUARE ROOT OF THE GOLDEN RATIO = 1.2720196495141 CAN ALLOW THE CURVATURE OF A CIRCLE TO BE PLACED ON A STRAIGHT LINE BY USING JUST COMPASS AND STRAIGHT EDGE.

THE SQUARE ROOT OF THE GOLDEN RATIO = 1.2720196495141 CAN BE USED TO TRANSFORM CURVES INTO STRAIGHT LINES AND STRAIGHT LINES INTO CURVES.

THE CLAIM THAT THE PERIMETER OF THE SQUARE IS THE SAME MEASURE AS THE ARC LENGTH OF THE CIRCLE DUE TO THE MEASURE OF THE ARC LENGTH OF THE CIRCLE BEING DERIVED WITH THE USE OF THE SQUARE ROOT OF THE GOLDEN RATIO = 1.272019649514069 CAN BE CONFIRMED IF A CIRCLE WITH A 1-METER DIAMETER IS CREATED AND THE DIAMETER OF THE CIRCLE IS MULTIPLIED AROUND THE CURVATURE OF THE CIRCLE CONFIRMING THAT THE CORRECT VALUE FOR PI MUST BE 3.1446. THE KEPLER RIGHT TRIANGLE ALSO CONFIRMS THAT RATIO FOR A CIRCLE’S CIRCUMFERENCE DIVIDED BY A CIRCLE’S DIAMETER IS 3.1446.



BY KNOWING THE RATIO OF A CIRCLE'S DIAMETER DIVIDED BY 1 QUARTER OF A CIRCUMFERENCE THE GEOMETER HAS DISCOVERED A RECTANGLE THAT HAS THE SAME SURFACE AREA AS THE CIRCLE.

THE RECTANGLE THAT HAS ITS LONGER EDGE EQUAL TO THE DIAMETER OF THE CIRCLE WHILE THE SHORTER EDGE OF THE RECTANGKLE IS EQUAL TO 1 QUARTER OF THE CIRCLE’S CIRCUMFERENCE IS A SQUARE ROT OF THE GOLDEBN RATIO RECTANGLE = 1.272019649514069.

IT IS KNOWN THAT A RECTANGLE AND A CIRCLE CAN HAVE THE SAME SURFACE AREA AND IF A RECTANGLE AND A CIRCLE CAN HAVE THE SAME SURFACE AREA THEN A SQUARE AND A CIRCLE CAN HAVE THE SAME SURFACE AREA BY USING THE MEAN PROPORTIONAL OF THE RECTANGLE THAT IS THE SQUARE ROOT FOR THE SURFACE AREA OF THE RECTANGLE THAT HAS THE SAME SURFACE AREA AS THE CIRCLE.

THE MEAN PROPORTIONAL OF THE RECTANGLE THAT HAS THE SAME SURFACE AREA AS THE CIRCLE IS THE WIDTH OF THE SQUARE THAT ALSO HAS THE SAME SURFACE AREA AS THE CIRCLE.

THIS INFORMATION IS OLD AND SO SIMPLE. I AM SHOCKED THAT YOU WITH ALL YOUR GEOMETRIC KNOWLEDGE STILL DO NOT KNOW HOW TO CREATE A CIRCLE AND A SQUARE WITH THE SAME SURFACE AREA BY USING COMPASS AND STRAIGHT EDGE.

THE EXACT VALUE OF PI IS NOT TRANSCENDENTAL.

THE EXACT VALUE OF PI = 4 DIVIDED BY THE SQUARE ROOT OF THE GOLDEN RATIO = 4/√φ = 3.144605511029693144.

[Liddz]

The Garbage of Traditional Pi: 3.141592653589793 lower case version

The number 3.141592653589793 is an approximation of Pi.

The number 3.141592653589793 is NOT the real Pi.

It is impossible for the number 3.141592653589793 to be the real value
of Pi because the number 3.141592653589793 has NEVER been derived from dividing the circumference of a circle by the measure for the diameter of a circle.

The problem is that the multiple polygon calculus limit method of Archimedes can only produce approximations for Pi but NEVER produce the real value of Pi.

Do you know what an approximation is ? :

Approximation: https://en.wikipedia.org/wiki/Approximation

When I say an approximation of pi I mean that you will come close to finding the real Pi but you are still in error at the 3rd decimal when you apply the multiple polygon calculus limit approach to finding Pi.

If you divide the measure for the circumference of a circle by the measure for the diameter of a circle you will get the number 3.144605511029693144 but you will NEVER get the number 3.141592653589793 because the number 3.141592653589793 is NOT Pi but is an approximation of Pi instead.

Pi by definition is the ratio of a circle's circumference divided by a circle's diameter.

Nobody in this universe has ever derived the number 3.141592653589793 from dividing the measure of a circle's circumference by the measure of a circle's diameter and nobody in this universe will ever derive the number 3.141592653589793 from dividing the measure of a circle's circumference by the measure of a circle's diameter because the number 3.141592653589793 represents the perimeter of the polygon and not the curvature of the circle.

If the diameter of the circle is 1 then the curvature of the circle will be pi and that is the reason it so important for mathematicians of today to physically measure the pi circumference of a circle cylinder with a diameter of 1 meter.

To know the measure of the curvature of the circle we must discover by measuring how many times the 1 meter diameter of a circle cylinder can fit around the curvature instead of inscribing circles inside of polygons and circumscribing circles around polygons.

The following videos have been seen many times where the curvature of a cylinder with a diameter of 1 meter is measured and the pi circumference is revealed to be 3.1446 and not 3.1415 OR 3.1416

Pi Measurement: http://measuringpisquaringphi.com/pi-measurement/

Physical measurement for the real value of Pi part 3:

https://www.youtube.com/watch?v=fATlIzht7VI&t=82s


Pi Math Proof: http://measuringpisquaringphi.com/pi-math-proof/

Proof 7 Part 2 Pi Math Proof:

https://www.youtube.com/watch?v=ohFXjnPOOnw&t=4s

Geometric Proofs of Pi: http://measuringpisquaringphi.com/geome ... ofs-of-pi/


More information about Pi, Archimedes boundary limit claim is a DOGMA. :

https://translate.google.com/translate? ... rev=search


I have found the EXACT VALUE OF PI = 4/√φ = 3.1446.

3.1446 IS THE EXACT 100% REAL VALUE OF PI.

It does not matter how many polygons that are created with circles inscribed in them or circumscribed around them you will only come close to finding the exact value of pi but you will never get the exact value of pi when you use the multiple polygon limit approach to find pi.

It is impossible for the number 3.141592653589793 to be the correct value of pi because it is impossible for infinite sided polygons to exist.

There is no such thing in reality as an infinite sided polygon. A polygon is known by the number of edges that a polygon has for example a decagon is 10-sided polygon.

Dictionaries say that a circle is a plane with equally distant points located on its circumference from a central point.

A circle is not an infinite sided polygon and it is impossible for infinite sided polygons to exist.

It is impossible for a polygon to become a circle and there will always be a gap between the edge of a polygon and the curvature of the circle that contains the polygon and that means that the real value of pi must be larger than 3.1415 or 3.1416 because 3.1415 or 3.1416 comes from the multiple polygon calculus limit approach of the Greek deceased mathematician Archimedes.

Also the multiple polygon limit approach is very time consuming and nobody has performed a sufficient approximation of pi by using the multiple polygon method by using compass and straight edge.

Computer calculations are often used when the multiple polygon limit approach is applied to finding pi and often involves 1,500 iterations or even more.

There are no geometric proofs available in this universe that can demonstrate that the number 3.141592653589793 is the result of a circumference of a circle divided by the diameter of a circle because nobody in this universe has ever derived the number 3.141592653589793 from dividing the circumference of a circle by the diameter of a circle but if the circumference of a circle is divided by the diameter of a circle the result is the number 3.144605511029 instead.

If a circle is created with a 1-meter diameter and the 1 meter-diameter of the circle is multiplied around the curvature of the circle the amount of multiplications for the 1-meter diameter around the curvature of the circle will be 3.1446 and not 3.1415.

The number 3.141592653589793 is also contradicted by the physical measurements of a circle with a 1-meter diameter when the 1-meter diameter is multiplied around the curvature of the circle because the result of multiplying the 1-meter diameter around the curvature of the circle is the number 3.1446 and not 3.1415 as said before.

The number 3.141592653589793 only exists on calculators and has no basis in reality.

Remember that the definition of pi is circumference of circle divided by diameter of circle on a 2 dimensional plane.

If you have never divided the circumference of a circle by the diameter of a circle on a 2 dimensional plane then you cannot know what pi is and if you do not know what pi is then you cannot honestly say that pi must be smaller than 22 divided by 7 = 3.142857142857143.

If you do not know the result of dividing the circumference of a circle by the diameter of a circle on a 2 dimensional plane then you do not what is the true numerical value for pi.

Pi is circumference of circle divided by diameter of circle on a 2-dimensional plane.

The problem is that promoters of the number 3.141592653589793 have never divided the circumference of a circle by the diameter of a circle on a 2-dimensional plane in their entire lives and that means that promoters of the number 3.141592653589793 do not know the numerical value for pi.

Instead of dividing the circumference of a circle by the diameter of a circle academic mathematicians that promote the number 3.141592653589793 derived the approximation of pi = 3.141592653589793 from circumscribing a circle around a polygon and also inscribing a circle inside of a polygon while "pretending" that the approximate value for pi = 3.141592653589793 is the same as the result of dividing the circumference of a circle by the diameter of a circle on a 2-dimensional plane.


I can tell you now that nobody in this universe has ever derived the number 3.141592653589793 from dividing the circumference of a circle by the diameter of a circle instead the true result of dividing the circumference of a circle by the diameter of a circle is the number 4/√φ = 3.144605511029693144 and that means that the number 3.141592653589793 can never be pi.

4/√φ = 3.144605511029693144 is the true value of pi.

Most of the academic mathematical concepts do not have any thing to do with the circumference of a circle divided by the diameter of a circle.

Most academic mathematicians do not know the numerical value for pi because most academic mathematicians have never divided the circumference of a circle by the diameter of a circle on a 2-dimensional plane in their entire lives.

Remember that pi is irrational and that means that if the circumference of the circle is rational then the diameter of the circle will be irrational with an infinite amount of decimal places and if the circle’s diameter is rational then the circle’s circumference will be irrational with an infinite amount of decimal places.

Remember that only rational numbers can be measured with 100% accuracy and irrational numbers have to be approximated when we are dealing with measurements. Irrational numbers have to be computed with a calculator because irrational numbers have an infinite number of decimal places.

If the circumference of the circle can be measured then the diameter of the circle cannot be measured with 100% accuracy and the diameter of the circle would have to be computed on a 2-dimensional surface. If the diameter of the circle can be measured then the circumference of the circle cannot be measured with 100% accuracy and will have to be computed on a 2-dimensional surface.

Mathematicians that use the multiple polygon limit calculus approach to find pi are frauds until they divide the circumference of a circle by the diameter of a circle on a 2-dimensional plane.

Never forget that pi is circumference of circle divided by diameter of circle on a 2-dimensional plane and nothing else. Pi is not circumscribing a circle around a polygon and inscribing a circle inside of a polygon.

The value of pi that is used by most academic mainstream mathematicians is false and can also be gained through the formula 4 divided by the square root of 1.621138938277405 = 3.141592653589793.

True value of Pi = 4 divided by the square root of Phi = 3.144605511029693144.

Phi = 1.618033988749895.

The square root of Phi = 1.272019649514069.

4 divided by the square root of 1.621138938277405 = 3.141592653589793 is the value of Pi that has been programmed into most of our calculators and is used by most mathematicians and is said to be an irrational transcendental number.

The real exact value of Pi = 4/√φ = 3.144605511029693144.

The true value of Pi = 3.144605511029 is NOT Transcendental:

Pi = 4/√φ = 4 divided by 1.2720196495141 = 3.144605511029.

π = 4/√φ = 3.144605511029693144.

THE REAL VALUE OF Pi IS NOT TRANSCENDENTAL BECAUSE THE REAL VALUE OF PI = 4/√φ = 3.144605511029693144 IS THE ONLY VALUE OF PI THAT CAN FIT THE FOLLOWING POLYNOMIAL EQUATION:

4th dimensional equation/polynomial for Golden Pi = 3.144605511029693

Minimal Polynomial:

x4 + 16x2 – 256 = 0.

https://www.tiger-algebra.com/drill/x~4-16x~2-256=0/

THE REAL VALUE OF PI = 4/√φ = 3.144605511029693144:

Please copy and paste the following link into your web browser if you cannot click onto the following link:

https://www.wolframalpha.com/input/?i=4 ... lden+ratio

PLEASE CLICK ON THE RED DOTS IN THE FOLLOWING LINK TO CONFIRM THAT THE REAL VALUE OF PI = 4/√φ = 3.1446 IS NOT TRANSCENDENTAL.

THE REAL VALUE OF PI = 4/√φ = 3.144605511029693144.

Minimal polynomial:

x4 + 16x2 – 256 = 0

https://www.wolframalpha.com/input/?i=x ... +256+%3D+0

3D plot of a graph proving that the real value of Pi is NOT transcendental:

(Please click on to the following links or copy and them into your web browser):

PLEASE DOWNLOAD THE GOOGLE DRIVE LINK

https://drive.google.com/file/d/1nT0xGI ... sp=sharing

• Panagiotis Stefanides fourth order equation:

http://www.stefanides.gr/Html/piquad.html

• Panagiotis Stefanides: Quadrature of circle, theoretical definition:

http://www.stefanides.gr/Html/QuadCirc.html

• 2/Sqrt[Sqrt[GoldenRatio]]

2/√√φ = the square root of 3.144605511029693144.

(Square root of Pi = 2 divided by 1.127838485561682 = 1.773303558624324)

http://www.wolframalpha.com/input/?i=2% ... 8%9A%CF%86

(-256 + 16 x^4 + x^8)

(x8 + 16x4 – 256)

http://www.wolframalpha.com/input/?i=-2 ... DShow+less


The Non Transcendental, Exact Value of π and the Squaring of the Circle 1:

https://www.youtube.com/watch?v=ccxVW2M ... 1876258142

The Non Transcendental, Exact Value of π and the Squaring of the Circle 3:

https://www.youtube.com/watch?v=-QCtnZjZIsw

Pi by phi quadrature: https://www.youtube.com/watch?v=CRkIKSkVzPA

Pi by Phi saved archive: http://archive.is/b02DL

Pi by Phi quadrature: http://quadrature-code.blogspot.co.uk/

Quadrature blogspot conclusions http://quadrature-code.blogspot.co.uk/p ... sions.html

Quadrature blogspot Holistic: http://quadrature-code.blogspot.co.uk/p ... -view.html

√√φ = 1.127838485561682 is the key to creating a circle and a square with the same surface area.

The following Wolfram alpha site gives us information about the ratio √√φ = 1.127838485561682 =

http://www.wolframalpha.com/input/?i=&# ... 8730;φ

MEASURING PI SQUARING PHI: www.measuringpisquaringphi.com


The square root of Phi = 1.272019649514069:

(-1 - x^2 + x^4) http://www.wolframalpha.com/input/?i=%E2%88%9A%CF%86


The square root of the square root of Phi = 1.127838485561682 .

(-1 - x^4 + x^8) http://www.wolframalpha.com/input/?i=&# ... 8730;φ




“Pi formula�

If the diameter of a circle is 1 then the circumference of the circle = pi.

Circumference of circle divided by pi = diameter of circle.

Pi multiplied by diameter of circle = circumference of circle.