How to Determine the Distance to the Horizon
How to Determine the Earth's Circumference
The Geometry of Projectile's Motion

How to Use the Golden Ratio

The golden ratio is a famous geometry idea with a connection to ancient Greece. (When it came to mathematics, physics, astronomy, philosophy, drama, and the like, those ancient Greeks sure did kick some serious butt.)

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The figure below shows the Parthenon on the Acropolis in Athens.

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Built in the fifth century B.C., it is an example of architecture that uses the golden ratio.

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Then you can divide the smaller rectangle into a square and a rectangle, and then you can divide the next rectangle, and so on, as shown below.

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When you connect the corresponding corners of each similar rectangle, you get a spiral that happens to be the same shape as the spiraling shell of the nautilus — amazing!

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