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Exploring Geographic and Geometric Relationships Along a Line of Ancient Sites Around the World (cont)

By Jim Alison


As the Earth rotates on it’s axis, the Equator remains aligned, but the line of ancient sites describes a sine wave as a result of it’s tilt relative to the Equator. The line of the ecliptic may be observed describing a similar wave by spinning a globe that has a line of the ecliptic. The wave may also be visualized by drawing the line of ancient sites on a flat projection of the Earth.

Figure 25
Image © Cosmi 3-D World Atlas

Harmonics, electricity, and many other aspects of nature are based on sine waves. Because this particular wave repeats with each full rotation of the earth, the frequency of the wave is equal to the circumference of the Earth. The amplitude of this wave, measured from the middle of the wave (the equator), is 30° of latitude. Recall that the 30th parallels are ½ of the height of each hemisphere, or ½ of the radius of the Earth.

Since the height of the wave is equal to ½ of the Earth’s radius, the ratio between the frequency of the wave and it’s amplitude is 4π. Measuring the amplitude from the top of the wavelength to the bottom (from 30° N to 30° S), the amplitude is equal to the radius of the Earth, and the ratio between the frequency and the amplitude of the wave is 2π.

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