Thursday, June 12, 2008

Golden Ratio

Posted on 1:13 PM by janoko menebar cinta

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).
Sectioning a line to form the Golden Section
Sectioning a line to form the Golden Section

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,
Phi and the Great Pyramid The Great Pyramid of Egypt
Phi and the Great Pyramid The Great Pyramid of Egypt


The Greeks recognized it as
"dividing a line in the extreme and mean ratio"
The Parthenon
The Renaissance artists
knew it as the
Divine Proportion
"The Last Supper" by Leonardo Da Vinci
The Parthenon "The Last Supper" by Leonardo Da Vinci
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
Phi and the Golden Section were used in Notre Dame
Phi and the Golden Section were used in Notre Dame

and continues today in many examples of art, architecture and design.

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