Squaring the circle by Phi number .
Of ferman: Fernando Mancebo Rodriguez--- Personal page. ----Spanish pages
Video: Cosmic and atomic model
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
Model of Cosmos. ||| Atomic model ||| Development speed of forces.||| Magnets: N-S magnetic polarity.
Stellar molecules ||| Static and Dynamic chaos||| Inversion or Left-right proof ||| Scheme approach TOE
Chart of atomic measures||| The main foundations of the Cosmos' Structure ||| Unstable particles in accelerators
Short summary atomic model ||| Positive electric charges reside in orbits.||| Mathematical cosmic model based on Pi.
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
Atomic Density ||| Linkin: Coeficients Lcf Mcf ||| Atomic nuclei structuring: Short summary
Few points about Cosmic Structuring.||| What is Time||| Simultaneity ||| The Cosmic tree ||| The Cosmic entropy
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
Magnetic or entropy forces: types or classes||| Time observation and time emission ||| The universe expansion
Planetary Mechanics : Short summary ||| Easy explanation of the Planetary model||| State and type of Particles
Higgs boson and fields: wrong way ||| The positron proof: main types of magnetic fields
Radial coordinates.||| Physical and mathematical sets theory. | Algebraic product of sets.
Planar angles: Trimetry.||| Fractions: natural portions.||| Cosmic spiral ||| Inverse values of parameters and operation
Equivalence and commutive property of division. ||| Concepts and Numbers. ||| Bend coefficient of curves ||| Mathematical dimensions
Transposition property ||| Accumulated product: Powers ||| Dimensional Geometry: Reversibility
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)
Spherical molecules. ||| Genetic Heredity. ||| Metaphysics: Spanish only. ||| Brain and Consciousness. ||| Type of Genes T and D
Certainty Principle ||| From the Schrodinger cat to the Ferman's birds ||| The meaning of Dreams
Freely economy ||| Theoricles of Alexandria ||| Rainbow table of elements.||| Satire on the Quantum Mechanics
Cancer and precocious aging ||| Hardware and software of Genetics ||| The farmer and the quantum physicist|||
Andalusian Roof Tile. ||| Rotary Engine. ||| Water motors: Vaporization engines.
Triangular ferman's Houses .||| Pan for frying and poaching eggs ||| The fringed forest
The Emperor's new clothes and the QM ||| Garbage Triangle: Quantum mechanics, Relativity, Standard theory
Fables and tales of the relativists clocks.||| Nuclei of galaxies.||| Particles accelerators.
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
Video Universal Consciousness||| Who is God ||| Web Universal consciousness
Squaring the circle by Phi number
Small discussion (author's opinion).
The use of square and compass is a practical way of drawing and not a theoretical one, that is, measurements, transports and traces have an action limit that does not exceed one hundredth of a millimeter of accuracy in any case, for each measurement taken.
Therefore and in practice with ruler and compass, in no case will we be able to execute a figure with an error of less than 0.01 mm.
But we can also abstract from practical drawing and immerse ourselves in axiomatic and abstract mathematics and act as hypotheses also with ideal or perfect drawing tools (which do not exist) such as the ideal ruler and compass that can measure with scope and infinite and absolute perfection.
In this hypothetical and axiomatic cases, apart from the ruler and the compass we must in addition to completing them also with a perfect numerical measurement method, which will show us, through appropriate adjustments, if the perfect quadrature can be achieved.
And this does not depend on the measurements of the ruler and the compass, but on the adjustment method giving us the exact result required: No practical measurement with a ruler and compass is necessary, only theoretical measurements and correct mathematical adjustments occur according to the method to follow.
In other words, it is the mathematical adjustment method that we use that will tell us if it can be achieved or not, but it can never be demonstrated in practice with just a ruler and compass.
But of course, we must not forget that we live in a practical and real world, and that drawing tools (ruler, compass, pencil, traces, lines, etc.) are also real and have their limitations.
And any stubborn and obstinate person could argue that if any kind of scale and measurements with the ruler and compass are forbidden to squaring the circle, neither can abstract demonstrations be made with rules and compass that are also ideal and abstract.
That is, the demonstrations or refutations have to be done with the same tools with which the practical executions are carried out, that is, with a ruler and a physical compass.
Therefore and at this point, we could consider two somewhat different ambits:
1.- The field of pure, abstract mathematics and of theoretical methods and adjustments.
2.- The practical field (in our case, the squaring of the circle), of practical squaring with a physical and real ruler and compass.
In the first case of pure and abstract mathematics, an exact fitting method for squaring the circle has not yet been found.
In the second case it can be carried out, but of course exposing at the same time a numerical adjustment that tells us the theoretical accuracy of the method used (due to it can be multiple forms of practical squaring).
And the example here exposed, a squaring is made based on the Phi number, which in my opinion is valid since the inaccuracy that it entails cannot be observed or measured with the work and drawing tools that we have at our disposal.
Thus, by means of the Phi number in this example, we can squaring the circle (theoretically) with an approximation of six decimal digits, (side of the square = 1.77245 | 9139), but as we have said, in the practice of ruler and compass we will only achieve an accuracy of (only 1,772 ... at most) because our vision and drawing tools do not allow us more.
But as the accuracy depends on the fewest number operations with arcs and segment we have to do to get the quadrature, and then, the more operations we do, the less approximation we will have.
I think this example is interesting since we not only squaring the circle with a great theoretical approximation, but we also use the Phi number interrelated with Pi, where we also observe the dependence that these numbers or parameters have between them: Phi and Pi: relation formula
Thanks all you.