Theos-Talk Archives (November 2005 Message tt00158)

Dear Gopi,

The only propositions I know of linked to Pythagorus, are the ten axioms and 
propositions of mathematics that he taught, based on Euclid's geometry: These 
are:
A1. "Things which are equal to the same thing are also equal to one another.
A2. "If equals be added to equals, the wholes are equal."
A3. "If equals be subtracted from equals, the remainders are equal."
A4. "Things which coincide with one another are equal to one another."
A5. "The whole is greater than the part."
P1. (It is possible) "to draw a straight line from any point to any other 
point."
P2. (It is possible) "to produce a finite straight line continuously in a 
straight line."
P3. (It is possible) "to describe a circle with any centre and distance."
P4. (It is true) "that all right angles are equal to one another."
P5. (It is true) "that, if a straight line falling on two straight lines make 
the interior angles on the same side less than two right angles, the two 
straight lines, if produced indefinitely, meet on that side on which are the 
angles less than the two right angles."

For more on Pythagorean mathematics, see:
http://www.mathgym.com.au/history/pythagoras/pythgeom.htm#15

"It is well known that the Pythagoreans were much occupied with the 
construction of regular polygons and solids, which in their cosmology played an 
essential part as the fundamental forms of the elements of the universe."

As for the relationship between Pi and Phi... They are part of the Golden 
numbers, polygons, etc., known to all the ancient theosophists and occultists 
leading from Pythagorus, Plato, Hermes, Porphyry, Plotinus, etc. For background 
on this see: 
http://goldennumber.net/pi-phi-fibonacci.htm
Also, look up "golden ratio" in www.google.com, and also try "sacred 
geometry."

"e ≈ 2.7182818284.... is a transcendental number commonly encountered when 
working with exponential models (growth, decay, and logistic models, and 
continuously compounded interest, for example) and exponential functions. eis also 
the base of the natural logarithm."

"i" is The symbol used to represent the imaginary number (The square root of 
minus I)

As far as I know, their is no single relationship that brings all these 
numbers or symbols together, other than perhaps the relationships of the golden 
numbers to the sacred geometry's or to the Fibonacci series.   

However, all of these real numbers are related to the ABC theory -- which is 
based on the funda-mental geometry and mathematics that describes the 
universal forms and their interrelationships as they fractally *involve* spherically 
(like bubbles within bubbles, etc.), and ultimately *evolve* as holographically 
encoded vibratory patterns on their surfaces -- after emanating from the 
"spinergy" (abstract motion or angular momentum) of the Absolute zero-or 
laya-point ("singularity") of primal space. This is also fully consistent with the 
metaphysics of Cosmogenesis descibed by HPB in the Secret Doctrine based onthe 
formulas given in the Book of Dzyan.

Hope this helps,

Best wishes,

Lenny
http://www.tellworld.com/Astro.Biological.Coenergetics/
http://users.aol.com/uniwldarts/uniworld.artisans.guild/chakrafield.html

In a message dated 11/25/05 6:21:58 PM, ekcvv@juno.com writes:


> Dear Leon
> 
> 
> 
> I have a couple of questions that you might help me understand.
> 1. They speak of 10 Proportions that Greeks (perhaps Pythagoras) defined.
> Do you know what they are?
> 2. Pi, Phi, e and i - is there any single relationship that puts them
> together?
> 3. Are all these constants related to your ABC ideas and Singularity?
> 
> Thanks
> Gopi
> 



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