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To be sure, the very formula that calculates the area of the circle as πr², in its referring to the simple square of the radius (which is CBED,
¼ of the whole) denotes that π is assumed with an implicitly quadruple value, such as to extend the calculation on the quadrant to the whole circle; but conceptually it is πr² that has to quadruple, not the π itself.
Such virtually improper formulation corroborates the concept sustained here, not at all improvised but which on the contrary leads back to the most correct interpretation.
The π: 4th dimension and gravitational interaction
Prolonged reflections, aimed at integrating the premise line of thought, lead me insistently to the conception of the π as well as as a mediator between square and circle, as a fulcrum of gravity geometry:
and here we are in the fourth dimension, with a symbol π which in my opinion should be thought of as an expression of cosmic Intelligence of a radial rather than circular way (which is a conception suggested by the flawed polygonal representation of the circumference); a sort of potential that, likewise a radar, is valid – even in its constant mode – to mark the time-rhythm in the gravitational curvature.
Going from the two Cartesian axes into a three-dimensional system in which we can discretize any kind of figure, we observe that to trace a circumference in 2D, or to outline a sphere in 3D, a 4th factor is needed, represented by that radius, a segment or stretch of wire that anchored to one end, allows to draw in any direction an indefinite number of points all equidistant from the fixed head, which becomes the center of a flat or three-dimensional whole.
Once the length of that wire has been determined, it guarantees the equipollence of all the points visited in space with respect to the center.
It is sufficient to think of a continuous motion originating from this process, to translate the influence of that thread into a gravitational effect; nor is there any other possibility of tracing a real circle than the use of a compass, as an instrument that guarantees a continuous and homogeneous anchoring; since any different definition based on 2 or 3 axes would only give rise to a polygonal figure, it being impossible to achieve what commonly – and too compulsively – we fantasize as an infinite number of points ('indefinite' would be appropriate).
This is the basic concept on which it is necessary to focus, in order to go beyond a perspective, albeit historical, now too rudimentary and in any case untrue.
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