The Geometrical Equilibrium is the geometric birthplace of the any Geometrical Proportion.This place is a Square in which lives an inscribed Circle :
THE LOST SCIENTIFIC GEOMETRIC POINT'S PI VALUE = 3.146264371...
Square's Side = 4 Circle's Radius = 2 Square's Area = 16 Circle's Circumference = 12.58505748... Square's Perimeter= 16 Circle's Area = 12.58505748...
Note how armoniouys and well coordonated HERE lives the coordonation between the Area and Perimeter/Circumference.
Nowhere else BEFORE and AFTER this 2nd step of evolution shall the Area and Perimeter of the Square ,or the Area and the Circumference of the Circle be in this EQUILIBRIUM.
THE SUMERIANS PRIESTS not only that they knew THE EFFECT you see it now under my calling it as The Geometrical Equilibrium, but they also KNEW MORE THAN THIS.They knew that The Geometrical Equilibrium MUST BE COORDONATTED with THE NUMERICAL EQUILIBRIUM in order have the Geometrical Proportion REPRESENTED by the Numerical in the science of mathematics.
Note: Look at the Cube of edge =4.Make a SUM of its Base Diagonal and Volume Diagonal. You shall reach 12.58505748..which is as you see it here the Circumference and the Area of the Circle of Radius=2.
Note:This article shall be followed by: THE GEOMETRICAL PROPORTION IN THE NUMERICAL EQUILIBRIUM, and is part of the presentations of THE AMERICAN CIVILIZATION'S GEOMETRY research data indicating why the Numerical can not express the Exactitude of the Geometrical Proportion,but is the Geometrical Proportion that shows herself to the Numerical indicating how the Numerical should handle it...for the science of mathematics.
This EFFECT is what Archimedes,Leibnitz, Newton and all other mathematicians never realized, but just beat the drum using the Numerical to handle the Geometrical Proportion.
...and from the darknes of the time the Geometrical Proportion cries:
"I am the BEAUTY that tell you what "dress" you to give to ME.If you undrestand this I shall come along you in the science of mathematics and shine with you.Togheter I shall give you shine after shine and quide you into more beauty of MINE, but if you are an IDIOT who belive that I shall wear the "dress" you impose on me, than I shall remain in my place,waiting for MY DESTINED ONE to bring me to light in the "only dress" I proper wear in the science of mathematics"
Source: Sixth Edition of AMERICAN GEOMETRY Page 616 Copyright 1996 by Ion Vulcanescu ISBN 1-889124-00-1 US Library of Congress # TX4-263-976
Contact Address: Mr Ion Vulcanescu - Philosopher Independent Researcher in Geometry Author,Editor,and Publisher 125 Main Street, POB-166 Hurleyville, NY 12747 The United States of America