The Kepler's cite “division of a line into extreme and mean ratio” it was thus overcome,
as not only linear. In deed a golden expansion map is defined by a sequence of concentric waves, whose diameters are regulated by increase of the golden ratio j^{ power} – tap the figure if HTML. 
The next step discloses one still unknown golden spiral, which works out through this plan, ie. crossing every circle at the same [zero] degree. Our Great Triangle handles all these and much more, like a gate between the plain formulas and the revolving energy!  
Yes, provided the disclosure of the geometrical π !



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