The Squaring Pi and the Floating point.
Of ferman: Fernando Mancebo Rodriguez--- Personal page. ----Spanish pages
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Double slit and camera obscura experiments: ferman experiment ||| Type of Waves: Questions of Quantum Mechanics
The socurces of gravity. ||| In favour of the cosmos theory of ferman FCM ||| Theory of Everything: summary
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Chart of atomic measures||| The main foundations of the Cosmos' Structure ||| Unstable particles in accelerators
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Inexactness principle in observations ||| Einstein and the gravity ||| The Universal Motion ||| Atomic particles
Cosmic Geometry ||| Bipolar electronic: semiconductors ||| Multiverse or multi-worlds||| Light and photons
Quantum explanation of Gravity ||| Real physics versus virtual physics ||| The window experiment
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Interesting and short life of neutrons ||| Leptons field ||| Macro Microcosm, the same thing.
Fourth dimension of space.||| The way to get a unity theory||| UHECR Ultra-high-energy-cosmic-rays
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Priority Rule in powers and roots ||| The decimal counter ||| The floating point index ||| Paradoxes in mathematics
Direct formula for Pi: The Squaring Pi. ||| The pyramids of Squaring Pi. ||| Functions of Pi ||| Integration formulas Pi.
Squaring the Circle ||| Cocktail formula for Squaring Pi.||| Orbital coordinates in motion: Summary
Oscillating function: Cartesian oscillators ||| The ciclo as unit of angular speed ||| Squaring circles ruler and compass |||
Video: Squaring circles ruler and compass ||| The number Phi and the circumference.speed |||
The The extended Pi ||| Angles trisection||| Squaring the Circle regarding Phi||| Video of the two squares method
Discusion about the Pi as transcendental number|||: Not transcendental Pi||| The chained sets|||
Properties of equalities in limits||| The Phi right triangles ||| Pi and the Circumscription Theorem
Pi triangle by squaring the circle : Vedeo Pi triangle ||| Squaring Pi demonstration by circumscription Theorem LatexPdf
Doubling the cube ||| Framing the circle ||| Phi and Pi: relation formula
Squaring circle with Phi (to 0.000005 of ideal ruler and compass)||| Sbits: Static and dinamic orbital coordinates
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Hydrocarbons, water and vital principles on the Earth. ||| Cosmos formula : Metaphysics
Ubiquity Principle of set.||| Positive electric charges reside in orbits.
Chaos Fecundity. Symbiosis: from the Chaos to the Evolution.||| Speed-Chords in galaxies.
The ancient planets Asteron and Poseidon.||| The man and the testosterone.||| Toros say ||| The essence of life
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Creation: Highlights||| First steps in metaphysics ||| A personal experience
Reason for the Cosmos' creation ||| The essence of life ||| Cosmic Entity: Metaphysics and Physics parameters
The Squaring Pi and the Floating point
The Squaring Pi, expressed as a Floating Point.
Friends, I understand that the squaring Pi has all the properties that the correct Pi must have, and therefore any critical mathematician "could" conclude that this is the correct Pi number.
* (All these properties can be seen on the web page corresponding to this work. (Pi: Direct Formula)).
Here we are going to see a characteristic that for me is very curious and mathematically interesting, and that simplified, it could be:
--- If we subject the Squaring Pi number to successive powers (Pi^n)......
--- And the solutions are expressed in the form of a Floating Point (FP = significand x base ^ exp.)......
--- We will have that for the exponent (exp=8), the significand will be ((2.Sqrt2) = Semi-square inscribed to the circumference of radius 1).
* For this solution, we will have subjected to sPi, to the power 17 (Pi^n = Pi^17)
Therefore, and if we want to use this property to obtain the squaring Pi, it is enough to go through the formula in the opposite direction.
sPi = f(2) = [(2Sqrt2 x 10^8 )]^(1/17) = 3.14159144414199..........
Logically, this property of exponentiation of Pi is fulfilled by the Squaring Pi, but not by the current algorithmic Pi:
Squaring Pi -------- sPi^17 / 10^8 = 2.8284271247461....... = 2Sqrt2
Algorithmic Pi ----- aPi^17 / 10^8 = 2.82844563586533....NOT= 2Sqrt2
*** As complementary information, it must be said that exp=8, is the sum of the exponents (of radius 1) necessary to obtain the semi-square inscribed in the circumference by the Pythagorean theorem, theorem that is used as a principle and logical basis for obtaining (and explaining) the squaring Pi. (see drawing)
Some qualities of the squaring Pi:
-- In the first place, a basic and very important quality for me is that of being obtained by the DIECT formula of all the constructive parameters of the circumference (Diameter, square circumscribed to the circumference, inscribed square) as well as the use of the Pythagorean theorem, of the Floating Point, (drawing) etc.
And it is important because it is the way to get the perimeters of all geometric figures (simple and regular geometric figures do not use approximation formulas to find their perimeter).
But it is that this property makes it a SPECIAL Pi number, since it is the only adjustment in the history of mathematics, that uses a direct formula, and not an approximation one as in the other methods.
In good logic, the approximation methods should not give us an exact result, since they do not have any construction parameter (reference parameter) of the circumference (r=1).
-- Another property of squaring Pi is that with formulas of its powers, we can obtain (to infinity) all the squares and circumscribed circles on a given one (ciscunscription theorem).