The Golden Section
The Golden Section is a ratio based on a phi
The Golden Section is also known as the Golden Mean, Golden Ratio and Divine Proportion. It is a ratio or proportion defined by the number Phi 
(
= 1.618033988749895
... ) It can be derived with a number of geometric constructions, each of which divides a line segment at the unique point where: the ratio of the whole line (A) to the large segment (B)
is the same as
the ratio of the large segment (B) to the small segment (C).
In other words, A is to B as B is to C.
This occurs only where A is 1.618 ... times B and B is 1.618 ... times C.
This ratio has been used by mankind for centuries
Its use may have started as early as with the Egyptians in the design of the pyramids,
The Greeks recognized it as
"dividing a line in the extreme and mean ratio" | The Renaissance artists
knew it as the
Divine Proportion |
 |  |
and used it for beauty
and balance in the
design of architecture | and used it for beauty
and balance in the
design of art |
It was used in the design of Notre Dame in Paris
and continues today in many examples of art, architecture and design. It also appears in the physical proportions of the human body, movements in the stock market and many other aspects of life and the universe.
Approximate and true
golden spirals. The
green spiral is made from quarter-circles tangent to the interior of each square, while the
red spiral is a Golden Spiral, a special type of
logarithmic spiral. Overlapping portions appear
yellow. The length of the side of a larger square to the next smaller square is in the golden ratio.
( THE NUMBER IS CALCULATED BY ASSUMING A LENGTH OF UNITY. IE. 1 UNIT and LET X LENGTH BE CHOSEN OUT OF IT. THEN THE REMAINING LENGTH WILL BE 1 - X.
AND AS MENTIONED ABOVE .. A :B = B :C
SO 1:X = X : 1-X
OR
1 / X = X / (1-X)
X IS CALCULATED AND IT IS THE DIVINE CONSTANT.
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