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# Golden ratio

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This slide is all about GOLDEN RATIO

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### Golden ratio

1. 1. By Muhammad Ibrahim 7T Student of The City School
2. 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. 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. 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. 5. FORMULA of golden ratio
6. 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. 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.