The Amazing Concepts

The Golden Ratio , also referred to as the Golden Section , Golden Mean , or Divine Proportion , is the ratio of a line segment cut into two pieces of distinct lengths such that the ratio of the longer segment to the shorter segment is equal to the whole segment to that of the longer segment. It is denoted by the symbol Phi [ø]. For example, a line segment AB divided into two distinct lengths AC & CB; here AC is the longer part and CB is the shorter one, then as per the definition of the Golden Ratio stated above, mathematical representation will be as: Suppose the longer part AC is ø and the shorter part CB is 1, then putting the value of AC, CB and AB in the above equation as shown below: The equation ø 2 – ø – 1 = 0 is a Quadratic Equation [ax 2 + bx + c = 0] Now use the Quadratic Formula  in the above Quadratic Equation by using the given values a = 1, b = -1 and c = -1 as shown below: The positive solution can be written as shown below: Solving this equation will give ...