
1) Elementary geometry 2) Global air route 3) The equator is one
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A great circle, also known as an orthodrome or Riemannian circle, of a sphere is the intersection of the sphere and a plane which passes through the center point of the sphere. This partial case of a circle of a sphere is opposed to a small circle, the intersection of the sphere and a plane which does not pass through the center. Any diameter of a...
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http://en.wikipedia.org/wiki/Great_circle

An imaginary circle on the surface of a sphere whose center is at the center of the sphere.
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http://www.braeunig.us/space/glossary.htm

(from the article `non-Euclidean geometry`) Great circles are the `straight lines` of spherical geometry. This is a consequence of the properties of a sphere, in which the shortest distances on ... Spherical trigonometry involves the study of spherical triangles, which are formed by the intersection of three great circle arcs ...
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http://www.britannica.com/eb/a-z/g/63

The line of intersection of the surface of a sphere and any plane that passes through the center of the sphere. The shortest route between two points on a sphere, such as the Earth, is along the great circle that connects these points. A great circle is a geodesic.
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http://www.daviddarling.info/encyclopedia/G/great_circle.html

Any circle drawn around the earth such that its center is at the center of the earth.A Great circle route will lie along a great circle and is the shortest distance between any two points on the earth`s surface.
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A circle on the surface of a sphere whose plane passes through the centre of that sphere.
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http://www.encyclo.co.uk/local/20448

An imaginary circle on the surface of a sphere whose center is at the center of the sphere.
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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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http://www.physicalgeography.net/physgeoglos/g.html

[
n] - a circular line on the surface of a sphere formed by intersecting it with a plane passing through the center
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http://www.webdictionary.co.uk/definition.php?query=great%20circle

A circle on the surface of a sphere whose centre is the centre of the sphere. See also: Circle, Small Circle, Sphere.
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https://www.encyclo.co.uk/local/20687

The line over the surface of the earth in the shortest curved path. It is, in fact, the shortest line joining two points on the earth's surface.
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https://www.encyclo.co.uk/local/20784
noun a circular line on the surface of a sphere formed by intersecting it with a plane passing through the center
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https://www.encyclo.co.uk/local/20974

Circle drawn on a sphere such that the diameter of the circle is a diameter of the sphere. On the Earth, all meridians of longitude are half great circles; among the parallels of latitude, only the Equator is a great circle. The shortest route between two points on the Earth's surface is along the arc of a great circle. These are used exten...
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https://www.encyclo.co.uk/local/21221
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