Definition:Golden Mean

Euclid's Definition
called the golden mean the extreme and mean ratio:

That is:
 * $A + B : A = A : B$

Also known as
The golden mean is also known as the golden ratio or golden section.

The Renaissance artists called it the Divine Proportion.

Also see

 * Equivalence of Definitions of Golden Mean


 * Continued Fraction Expansion of Golden Mean


 * Limit of Ratio of Consecutive Fibonacci Numbers where the convergents to $\phi$ are shown to be the ratios of consecutive Fibonacci numbers.