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* The Greeks
had a close connection with Egypt. In 570 BC the pharaoh Amasis permitted them to found the city of Naucratis
as a trading base in the Nile. Before that (700 BC, approx.), the island of Samos had links with Egypt. At around 588 BC,
a Phoenician from Tyre settled on Samos and his wife conceived a son: Pythagoras.
His father sent him to Tyre and, at 22, he travelled on to Egypt where he learned to read hieroglyphics and their symbolic
interpretation.
* When Egypt was invaded by the Persians in 525 BC, P. was taken
to Babylon where he studied with a Zoroastrian magus. Once he was free to leave, he visited Crete and Greece, and around
518 BC, he moved to the Gulf of Taranto, where he founded his famous school.
* Teachings: The soul was immortal,
the dead travelled to the stars, reincarnation, the recall of past lives, etc. All founded upon a belief in the dynamic harmony of the universe, an everchanging pattern which could be heard as
musical notes as long as we had not become used to it. The movement of the stars and the planets create these melodies...
Once the self remains purified, knowledge is revealed. In order to be purified, one had to join his ascetic community and
be healed by means of musical harmony... Only those who understood correctly the use of symbols could made sense of them.
But these symbols had to remain secret.
* Pythagora's theorem applied only
to right-angle triangles. The square of the hypotenuse is equal to the sum of the squares on the other 2 sides. If you draw
a square on the hypothenuse, and squares on the 2 smaller sides. the area of the largest square = area of the 2 others combined.
 
* From P.'s theorem we can discover the other important
ratios of sacred geometry. These ratios occur all the time in construction
of s. geometry. But they are not the most important, for this is saved to the relatioship between the diameter of a circle
and its circumference. The r is known by the Greek letter "pi", and multiplied by the diameter, we get the circumference.
Pi cannot be expressed as a ratio between 2 whole numbers, it's irrational (3,141592...). There's no
perfect plan of the universe made out of rational or whole numbers. We must rely on irrational numbers
(pi and other ratios...)
* P. expressed the knowledge acquired from ancient philosophy and science
in mathematical form & through music and geometry.
* P. 's theorem: If the side of a square
measures 1, the length of its diagonal is square root of 2... If the side of a rhombus is 1, its long axis is sq. root of
3. These ratios occur all the time in sacred geometry... The most important relationship is that between the diameter of a
circle and its circumference. Ratio = pi. If pi x diameter => circumference. But pi (3.14...) is "irrational", cannot be
expressed as a ratio between 2 whole numbers (i.e. we can't make a perfect place of the
universe, rational and in whole numbers). We therefore have to use close approximations (pi = 22/7;
etc.)...These ratios were important for the ancients for they used them as the trademark
of a Creator always using the same geometrical principles... P. saw his work as a way of understanding
God's mind. He led a special cult for celibes and vegetarians. Members were taught secrets such as that of "the prime
numbers", or numbers divisible only by themselves and 1. To reveal these was a crime punishable by dead...
* Sacred Geometry: Ancient philosophers called God the Great
Geometer for his creation is ruled by geometry and musical ratios. In S. G., the original
state of the universe was chaos and God (represented as number 7). God's first act: to eradicate chaos by enclosing it in
the most perfect geometry, that of the sphere. He then separated the light from the darkness (i.e. in sacred geometry:
circle around a central point and square inside it -> a circle within that square has an area of half the original square->the
light within it and the darkness around it are equal.)... Next: God (7) separated land from the
ocean; i.e. divide the inner circle into 6 parts by using a compass. Inside it draw a rhombus made up of 2 equilateral triangles.
This is the "vesica pisics" or "fish vessel", which can
also be drawn by making 2 equal circles within the circumference of each passing through the centre of the other or "female
vagina from which life begins." ...
* ...The picture now consists of an inner circle and 2 concentric rings.
Their areas are 1, 2 and 3. The first outer circle represents the whole universe and the 12 gods that rule it. (A =
12! = 12x11x10x9...). The r of the inner circle = 5,040 = 7! (7x6x5...), and represents the earth with its satellite, the
moon (7! = 5,040 = 5,040 miles or sum of the earth's mean ratius + the radius of the moon)... The
circles of the moon and earth illustrate a primary symbol of S. G.: The squared circle, which is the symbol of eternity and the heavens, the square is the material
world of earth...
| Squared Circle, V. Piscis & 12-Gods-Universe |
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