RELEASE

“The True Nature and the Transcendental Approach

of the Universal Constant π – known as Archimedes’ Number”

 

As viewed by a Mechanical Engineer of the National Technical University of Athens (NTUA)

Mr. Moschos Ath. Karagounis

 

The New Transcendental Theory Reveals and Proves the following:

 

1. The problem of Number π (as well as the dependent problem of the squaring of the circle) was never a “closed problem”

The circle closes conclusively and perfectly only with the absolute value of π = 3,1416 exactly, which in conjunction with the equally Constant m = 4k  = 0,8584, constitute the two real and unequal roots of the Algebraic Equation of the circle, under the formula:

 

x² - (π + m)x + π m = x² - 4x + 2,69674944 = 0

 

2. We did not know neither what the wanted was, nor its nature. The New Transcendental Theory reveals both, by proving that it is the common ratio of:

with the corresponding

so that:

 

3. The number m = 0,8584 = 0,81 + 0,0484 = 0,9² + 0,22², as the sum of two squares, leads us to the construction, by means of Ruler and Compass, of the chord (B_nC) = R.

The same holds true for the number π = 4 –  = 2² – (0,9² + 0,22²), as the difference of two squares, which makes possible the construction

of the chord (AB_n) = R.

This results to the squaring of the circle, only by means of Ruler and Compass.

 

Moschos Ath. Karagounis