This slide is all about GOLDEN RATIO

1. By
Muhammad Ibrahim
7T
Student of The City School

2. OBJECTIVES:
 THE VALUE OF GOLDEN RATIO
 MEASURE MEANT OF GOLDEN RATIO
 FARMULLA OF GOLDEN RATIO
 WHAT IS GOLDEN RATIO?
 HISTORY OF GOLDEN RATIO

3. WHAT IS GOLDEN RATIO?
 In mathematics, two quantities are in the golden
ratio if their ratio is the same as the ratio of
their sum to the larger of the two quantities.
 The figure on the right illustrates the geometric
relationship.
 Expressed algebraically, for
quantities a and b with a > b > 0,

4. MEASUREMENT OF GOLDEN RATIO
We find the golden ratio when we divide a line into two
parts so that:
the longer part divided by the smaller part is also equal
to the whole length divided by the longer part
Have a try yourself (use the slider):

5. FORMULA of golden ratio

6. VALUE OF GOLDEN RATIO
 The exect value of GOLDEN RATIO is 1,618
 The number approximately equal to 1.618033989...
 It is exactly equal to (1+√5)/2

7. HISTORY OF GOLDEN RATIO
 While the proportion known as the Golden Mean has
always existed in mathematics and in the physical
universe, it is unknown exactly when it was first
discovered and applied by mankind. It is reasonable to
assume that it has perhaps been discovered and
rediscovered throughout history, which explains why it
goes under several names. It appears that the
Egyptians may have used both pi and phi in the design
of the Great Pyramids. The Greeks are thought by
some to have based the design of the Parthenon on
this proportion, but this is subject to some conjecture.