Pi is a constant equal to the circumference of the circle divided by its diameter.
It has been calculated using polygons, one inscribed and the other circumscribed in a circle.
Knowing the diameter and the number of vertices, the perimeter of the circle is calculated by difference (exhaustion method).
This gives an approximation, 3.14159....
But by multiplying the number of sides of the polygon, the difference between the side and the arc, i.e. the error, increases. Smaller and smaller, of course, but more and more numerous.
A polygon with 40, 100 or 1 million sides means nothing. You can't simulate a circle with a polygon.
A circle has no angle. A straight line is not a circular arc.
The only thing we get is an approximation of 3.14, which is all you can hope for.
This number can't square the circle because it's not the true value of pi.
The only way to prove the true value of pi is by physical measurement.
Harry Lear made physical measurements of pi and found the same result every time.
The value he found is higher that the actual value by 0.1 % and is 4/√Φ with Φ = (√5+1)/2 and is equal to 3.144605...
This is an irrational and algebraic number like Φ (phi)
Pi is the solution of the equation x4+16x2-256 = 0 and Φ is the solution of the equation x2-x-1 = 0
Christian Frehner publish a bulletin (77) where he explains how this number is correct.
In an interview Harry Lear explains :
“Christian said to me : “Billy took your proofs and some Guido Moosbrugger stuff to the Plejaren and they had a discussion and said that yeah, these are absolutely correct”.
In a commentary on one of his videos, Harry Lear points out that two German engineers obtained the same result as him, but with two decimal places more, because they used a laser.
"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 / √Φ."
So Harry Lear found 4 decimal places and two German engineers 2 more. 3.144605 was measured.
Other measurement must be done.
In 1998 (Block 7 page 484) Guido moosburger give the values of the great pyramid of Giza and that value of pi.
Height 152.9553357
Base 240.4920959
The great pyramid of Giza is based on a Kepler triangle.
Kepler triangle is a right triangle where the sides are in geometrical progression which means multiplying by a constant factor (called reason) one side to get the other.
And the value of the reason is √Φ.
For a base of 1 the height is √Φ and the slope is Φ.
The height of the great pyramid is 152.9553357 , the base of the triangle is 240.4920959/2 = 152.9553357 / √Φ = 120.246047
The circumference of a circle with the height as radius is the same than the perimeter of the base of the pyramid.
2 * 𝜋 * radius = 4 * side of the pyramid.
2 * 𝜋 * 152.9553357 = 4 * 240.4920959
𝜋 = 2 * 240.4920959 / 152.9553357 = 3.144605...
A Kepler triangle with base 1 and therefore height = √Φ . The circumference of the circle whose height is the diameter is equal to the perimeter of the square whose side is the base.
𝜋 * √Φ = 4 * 1
𝜋 = 4/ √Φ
Pi is the base of a Kepler triangle of height 4, so 4/√Φ.
Kepler's triangle is the relationship, the bridge between the circle and the square.
This value of pi makes it possible to square the circle, which was impossible with the current value.
The consequence of correcting pi will mainly be simplification, since we now have an algebraic irrational number consisting of the square root of 5.
All equations with pi will be corrected, simplified, other constants will have to be corrected which will have to correct other constants, other formulas.
Software will have to be changed, as pi is currently hard-coded and not calculated.
It will be a long time before we accept the reality that Φ is the real thing. (Pi's dad)
Φ is the algebraic expression of the Pythagorean theorem.
Kepler's triangle is the geometric representation of Φ.
It combines the Pythagorean theorem and phi, which fascinated Johannes Kepler.
Figu canada made a video about pi.
Seems that they did't get it.
Circumference of the circle = perimeter of the square.