EUREKA IS THE PIE NAME OF THE PYTHAGOREAN TRIANGLE

EURICA

From the very beginning  the Mysteries of Nature  were recorded by wise men, in words, numbers, geometrical figures and 'meta-geometric' symbols. The keys passed from one generation of very wise men to their initiates. Some of the symbols, thus passed through Armenia and from there west to Greek speaking Phrygia in Asia Minor and Mycenae, much later still the knowledge was brought forward to us through Pythagoras, and 
Archimedes neither of whom were the inventors of the famous Triangle but non the less both had come to know the Eureka moment expressed by the plane defined by the first equilateral triangle. The point, the line, the circle, the lines intersecting the circle, The second point line and circle, the unity, the yoga expressed by the Visica Pisces, the fish. The connecting Chords, connecting the four directions within the circle and the most important discovery of all the fifth the quintessential, which launched consciousness into the third dimension, the hinge that all hangs on, as pivot of the four and the hinge of every door  of the plane, the four directions in space, "doorkeepers of the earth," guarding the passage to the earthly sphere, the dome or cyclical cylinder sat on a cube, the dome overhead. Awareness of the outer and inner unity was vital and Geo-metre by number designed to define on a scale from 1-10 of the infinite  possibilities, contributed to the civilized survival of humanity.  I wonder if the originators of number geometry and language  anticipated the volumes of descriptive Cosmogonies and revealed theology that their simple discoveries with metaphor, descriptive Nouns and Adjectives and verbs would launch. 
I posit that the eloquent and scientific descriptions of simple Sacred Geometry were transported to Armenia and were recorded and preserved there over 5000 years ago. Even though Armenian is a living PIE language, its intelligentsia has been decapitated practically every generation, leaving the original esoteric knowledge of its creators lost in time and space. However all is not lost for one knows that the language was based on the truth, the universal principals, on truth and the idea that freedom and unity is all.  
Below I will show the original PIE names of the Armenian numerals one to ten were designed to express the path step by step to super-conscious. The path and the order of the universal law of conscious. Armenia has Preserved in its the root names for numbers, the original principles of the natural order as well as the laws of nature that define the logical progression, the evolution of the higher mind. Like Manu who preserved the knowledge of the universal law, the Armenian language also seems to have attempted to do the same. These principals that we teach our children today before they are fourteen were vital to the survival of all of us who are the inheritors of Proto-Indo-European language. 
Etymology it seems to me is more a fun art than a science for instead of starting with the assumption that language was based on the universal law of resonance and working its way backward in time to the most recent, it attempts to climb uphill from the most recent, in time, through every dark age and false propaganda. it gets stuck with Greek or Hebrew and always casually refers to Sanskrit, as if Sanskrit is a copy of PIE. Not allowing us to come face to face with our progenitors who first gave names to all things and launched us into super-conscious mode. So we start with Armenian Meg for the oneand rediscover the Magi who the Armenians in their language paid homage to by naming their first numeral MAGGE. 

I am told that the ten points inscribed within the “Pythagorean triangle” are worth all the theogonies and angelologies ever emanated from the theological brain. Also assured that  he who interprets them – on their very face, and in the order given – will find in these points (the seven Mathematical Points hidden) the uninterrupted series of the genealogies from the first Heavenly to terrestrial man. And, as they give the order of Beings, so they reveal the order in which they evolved. The Kosmos, our earth, the natural laws of nature, our heavens and even the primordial elements by whichall was generated.
He who will master the mysteries of our Earth, will have mastered those of all others.”
He who will master the mysteries of the meanings of the original PIE numerals will have got very close to mastering himself.

“Space is the real world, while our world is an artificial one. It is the One Unity throughout its infinitude: in its bottomless depths as on its illusive surface; a surface studded with countless phenomenal Universes, systems and mirage-like worlds. Nevertheless, to the Eastern Occultist, who is an objective Idealist at the bottom, in the real world, which is a Unity of Forces, there is “a connection of all matter in the plenum,” as Leibnitz would say. This is symbolized in the Pythagorean Triangle.
“It consists of ten points inscribed pyramid-like (from one to the last four) within its three lines, and it symbolizes the Universe in the famous Pythagorean Decad
The upper single dot is a Monad, and represents a Unit-Point, which is the Unity from whence all proceeds, and all is of the same essence with it. 
the ten dots within the triangle represent the phenomenal world, the three sides of the equilateral triangle which enclose the pyramid of dots are the barriers of noumenal Matter, or Substance, that separate it from the world of Thought.” …
“There are such things as metamathematics and metageometry. Even mathematics pure and simple proceed from the Universal to the particular, from the mathematical, hence indivisible Point, to solid figures. The teaching originated in India, ad was taught in Europe by Pythagoras, who, throwing a veil over the Circle and the Point which no living man can define except as incomprehensible abstractions – laid the origin of the differentiated Cosmic matter in the basic or horizontal line of the Triangle. Thus the latter became the earliest of geometrical figures.” 


The Number THREE/YEREK.   Armenian erek῾/yerek῾/yerek῾

EUREKA, I posit is a moment in time or a eureka moment. It is said to refer to a common human experience. a flash moment of suddenly understanding a previously incomprehensible problem or concept. Some research describes the Aha! effect (also known as insight or epiphany, enlightenment, revelation, miracle, amazement, awe, wonder, astonishment, phenomenon, precipitance, portent, prodigy, as a memo moment. The effect is named from a story about ancient Greek polymath Archimedes who was a follower of Pythagoras.I posit that arriving at the number three/yerek in PIE Armenian, for a practitioner of sacred geometry, could easily be defined a thousand or two years later by a Greek in a bathtub, as his yerek/eureka moment.   
A triangle symbolizes the number 3. It represents the perfect balancing of two opposite elements by a third mediating element. In other words, it is the integration of polarity which reveals a new creation.In maths number 3 is a prime number and also a triangular number.
Breaking it down further I posit as in Yer of Yergu, the Armenian for TWO, that YER at root is the connector. the line, the perfect balance of two contradictory or complimentary points, elements and EK or EKA is the third mediating point/element that integrates polarity revealing the resultant creation, THE TRIANGLE, EUREKA/YEREKA IN PIE ARMENIAN. 

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