For Great Circle we have terms and definitions in 5 topics. The topics are Astrology, Ham Radio, Nautical, Physical Geography and Surf.

See Ecliptic.
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The intersection of a plane through the center of the Earth and the surface of the Earth. The shortest distance between two points on the Earth is a great circle route. All longitudes are great circles. The only latitude that is a great circle is the Equator.
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A circle drawn around the Earth such that the center of the circle is at the center of the Earth. Following such a circle plots the shortest distance between any two points on the surface of the Earth.
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An imaginary circle drawn on the Earth's surface that has its center synchronize to the center of the planet. The equator is a great circle.
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The shortest distance between two points on a curved or spherical surface like the Earth, which is actually a curved line when projected on a flat surface like on a Mercator chart. These lines are called Great Circles. Swells travel in Great Circles around the Earth. As an example, if you take a string and extend it between two points on a globe, you can see a good representation of a Great Circle.
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