Golden Ratio

Golden Ratio
GOLDEN RATIO

 It was first called the Divine Proportion in the early 1500s in Leonardo da Vinci’s
work.

 Mathematically two quantities are in the Golden ratio if (a+b) divided by a is equal to
a divided by b which is equal to 1.618033987…and represented by (phi), provided
that a is greater than b.




Examples:

1. If a = 3 and b = 2 then a/b = 1.5
2. If a = 5 and b = 3 then a/b = 1.666666...
3. If a = 8 and b = 5 then a/b = 1.6
4. if a = 13 and b = 8 then a/b= 1.625
5. If a = 21 and b = 13 then a/b = 1.615384615...

These examples show the relationship between a and b which represents a golden
ratio.
The quotient of a and b is somewhat close to the value of a golden ratio which
happens to be equal to 1.618033987...
In the same manner, the golden ratio can also be noticed in Arts let us name a few...

1. The exterior dimension of the Pathernon in Athens, Greece embodies the golden
ratio.
2. In Timaeus Plato describes five possible regular solids that relate to the golden ratio
which is now known as Platonic Solid.
3. Euclid was the first to give a definition of the golden ratio as a dividing line in the
extreme and mean ratio in his book the Elements.