John Kepler once said that “Geometry has two great treasures: one is the Pythagorean theorem, and the other the division of a line into extreme and mean ratios. The golden ratio is found by dividing a line into two parts so that the longer part divided by the smaller part equals the entire length divided by the longer part. It is also known as extreme and average ratio. The golden ratio is very similar to Pi because it is an infinite number and goes on forever. It is usually rounded to approximately 1.618. The formula for the golden ratio is a/b = (a+b)/b. The golden ratio is a number that has existed for many years. It has been around for a long time, so it is not known who came up with the idea of the golden ratio. Since the golden ratio is used all over the world, it is known by many names such as golden mean, phi, divine proportion, extreme and mean proportion, etc. It is usually called phi. The golden ratio has been used in the arts since the beginning of humanity and is still used today. It has been used in architecture, mathematics, sculptures and nature. Many famous artists have used the golden ratio. The golden ratio can also be used on a rectangle known as a golden rectangle. Euclid talks about it in his book Elements. The golden ratio also has a relationship with both the Fibonacci numbers and the Lucas numbers. The golden ratio is an infinite number rounded to approximately 1.618. Euclid referred to the decimal form of the golden ratio, which is 0.61803…, in his book The Elements. The golden ratio is a very special number with many properties. One of its properties is that to square the golden ratio, you could simply add one to it. The formula for squaring the golden ratio would be phi²= Phi + 1. Another property of the golden ratio is that to get the reciprocal you just subtract one. The reciprocal of Phi would be Phi-1. The golden ratio is often written as a/b
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