The golden ratio is an irrational mathematical constant.
= 1.6180339887
= 0.6180339887
Explanation Golden ratio line:
Point (S) on the line A to B divided the line in two
"Golden Sections"
The golden line ratio A to S to B.
*S1 is mirror point from S
In this website the golden ratio is denoted by the Greek lowercase letter phi (): 1.6180339887, while its inverse,
(1/phi), which is also equal to (phi-1), or 0.6180339887... is denoted by the uppercase variant Phi .
The figure on the right illustrates the geometric relationship that defines this constant. Expressed algebraically:
This equation has one positive solution in the algebraic irrational number
Golden ratio conjugate
The negative root of the quadratic equation for φ(the "conjugate root") is 1/Φ = 1- Φ 
-0.618.
The absolute value of this quantity (0.618) corresponds to the length ratio taken in reverse order (shorter segment length over longer segment length, b/a), and is sometimes referred to as the golden ratio conjugate.It is denoted here by the capital Phi (Φ):
Explanation Golden ratio Rectangle:
Golden rectangle construction:
1) Construct a square (green).
2) Draw a cirle from the midpoint M opposite corner C and R.
3) Extend line A,S to B.
4) Defines the long dimension of the rectangle point B.
Explanation Golden ratio Eye point:
Next to the square shows up a new golden rectangle. You see a endlessly repeating.
Golden place:
The ideal place in the golden rectangle for example a person.
*The preview example is 300% from a pixel ratio:
Golden rectangle: W:100 x H:61.803 pixels.
Placed on:
none W:1 x H:1 pixels.
*The golden rectangle example is 300% from:
a pixel ratio W:100 x H:61.8 pixels.
Top: Y 0
Left: X 0
Right: X -99
Footer: Y-60.803
Page background is:
Width: 1 X
Height: 1
The golden line:
The Golden Rectangle:
Width(AB): 100 X
Height(AC): 61.803
S vpoint from A : 61.803 INT: 61.8
S point from B : 38.197 INT: 38.2
Rectangle: sizes
A to M= 30.902 INT: 30.9
A to S1= 38.197 INT: 38.2
A to S= 61.803 INT: 61.8
A to B= 100 INT: 100
A to C= 61.803 INT: 61.8
M to A= 30.902 INT: 30.9
M to S1= 7.295 INT: 7.3
M to S= 30.902 INT: 30.9
M to B= 69.098 INT: 69.1
M to R (radius) = 69.098 INT: 69.1
S1 to A= 61.803 INT: 61.8
S1 to M= 7.295 INT: 7.3
S1 to S= 23.607 INT: 23.6
S1 to B= 61.803 INT: 61.8
S to A= 61.803 INT: 61.8
S to M= 30.902 INT: 30.9
S to S1= 23.607 INT: 23.6
S to B= 38.197 INT: 38.2
B to A= 100 INT: 100
B to M= 69.098 INT: 69.1
B to S1= 61.803 INT: 61.8
B to S= 38.197 INT: 38.2
C to B= 117.557 INT: 117.6
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