The Golden Ratio Math
In other words ab bc bc ac.
The golden ratio math. In this segment the ratio of the blue segment to the red segment is equal to the ratio of the red segment to the entire line from a to c. The golden ratio is a unique mathematical relationship. In this segment the. Golden ratio also known as the golden section golden mean or divine proportion in mathematics the irrational number 1 square root of 5 2 often denoted by the greek letter ϕ or τ which is approximately equal to 1 618.
Expressed algebraically for quantities a and b with a b 0. It is the ratio of a line segment cut into two pieces of different lengths such that the ratio of the whole segment to that of the longer segment is equal to the ratio of the longer segment to the shorter segment. φ 1 2 5 2. When the short side is 1 the long side is 1 2 5 2 so.
That rectangle above shows us a simple formula for the golden ratio. Two numbers are in the golden ratio if the ratio of the sum of the numbers a b divided by the larger number a is equal to the ratio of the larger number divided by the smaller number a b. The golden ratio is about 1 618 and represented by the greek letter phi φ. The golden ratio and geometry one of the simplest examples of the golden ratio in relation to geometry is a special line segment called the golden segment illustrated here.
The figure on the right illustrates the geometric relationship.