Squaring the circle by equalization.
Of ferman: Fernando Mancebo Rodriguez--- Personal page. ----Spanish pages

PHYSICS:
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
The positron proof: main types of magnetic fields
MATHEMATICS:
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
OTHER:
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|||
INVENTIONS:
Andalusian Roof Tile. ||| Rotary Engine. ||| Water motors: Vaporization engines.
Triangular ferman's Houses .||| Pan for frying and poaching eggs ||| The fringed forest
ARTICLES:
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
METAPHYSICS:
Video Universal Consciousness||| Who is God ||| Web Universal consciousness

Email: ferman25@hotmail.com
Email: ferman30@yahoo.es

Squaring the circle by equalization.
Using inscribed triangle

Page in preparation

[HOTLIST]

Fig. 1

This method of squaring the circle, (through the equalization of inscribed triangle segments) and as it is verified with the numerical adjustment that is exposed, represents a correct method and an easy achievement of the quadrature in a very simple way.
However, and although it will have its detractors due to the personal method that I use of square segment by approximation, I think that it can be considered as the exact square of the circle.
As we can see, it is based on the internal properties of the circumference, which as we will discover, said circumference possesses and numerous segments of interrelation with Pi are extracted from its interior, a question that to date I have not seen reflected in any work in this regard.

These segments embedded in the interior of the circumference range from the cube root of the diameter (2), which I already used to duplicate the cube, to various segments that are products and roots of the number Pi.
Well, these operations that can be done and adjusted numerically (for which I give data) can also be used with a ruler and compass to get the square of the circle.
As I have said before, my method of work is of approximation, confluence and equalization of segments related to each other.
Therefore, instead of making multiple adjustments and compositions of segments, here what is done is several (3-8) approximation measures but only on a pair of segments dependent on each other, until their confluence or equalization is achieved.

The first thing to discover and expose is a triangle inscribed to the circumference, which in turn contains segments that join them to Pi through mathematical operations such as duplication, product of segments, power of segments, roots, etc.
In figure1, we already have the main essence of the quadrature model, consisting of an inscribed triangle, whose base half (a) represents the fourth part of Pi, (pi / 4).
This would be devoid of importance if it were not for the fact that its height (b) to the center of the circumference (O) is in turn the square of this base half (b = a^2)
Thus, having this formula of segments, it is already beginning to suppose that it would be easy to find any of these segments as a function of the other, if only by simple product of segments, (one of the methods to use for quadrature).

[HOTLIST]

Fig. 2

In the second drawing (Fig. 2) this triangle is exposed, but with much more data on segments, their location and properties.
This second drawing and data is very important because the diversity of segments relative to Pi, which the circumference has internally, is already glimpsed, and also, because another method of quadrature can be used (the one I like the most) due to the use of duplicate segments that It exists in this drawing (h1, h2), which added together make us reach the segment of half of Pi (pi / 2) located laterally from the vertex A of diameter to the point B that cuts the circumference.
That is, these segments (h1, h2) added, lead us to the key point to measure (Pi / 2).

[HOTLIST]

Fig. 3

At the moment, and although there are several methods of quadrature with ruler and compass, here I am only going to expose the one that I normally use, that is, the one that I use the segments (h1, h2).

In figure 3 we see the ruler/square is placed on the vertical diameter, and at a distance of approximately 1/3 of the diameter of the circumference.
In this situation we fix the point (rm) and make an arc from the vertex of the vertical diameter (A) to the reference point or situation (rs).
And from this reference point (rs) we mark a perpendicular until we cut the circumference at the point (cs), and then extend that segment to the other side of the circumference (ps), which will help us to see if the measurement taken fits.
Now from the point (C) lower part of the vertical diameter, and with the length of the segment (s) we make an arc towards the point previously marked (ps), and with the same length, another arc from (ps) towards point (C) to check if the two arcs meet in the center.
As it will not be correct the first time, then we repeat the process until we get these arcs to coincide, because then it will be when the quadrature and all its segments are correct.

[HOTLIST]

Fig. 4

Thus, we have made the final measurement (figure 4) in which we check that the segments (m) drawn on the position of Pi/2 (segment P) are coincident, and that therefore as we said, this segment P represents the correct value of Pi / 2.
Now this segment Pi/2, with the compass we move it to the vertical diameter reaching the point (pp), and from here we make its projection on the circumference to the point Sqr.
Well, from the lower vertex of the vertical diameter C, we mark another segment up to Sqr, which will be the square root of Pi, and therefore the side of the square that we are looking for to square the circle.