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The great circle is the intersection of a sphere and any plane passing through its centre.

Given two distinct points on the surface of a sphere, those two points and the centre of the sphere define a plane. [If one of the points is at the antipodes of the other, an infinite number of planes are defined.] The great circle is the circle formed when that plane meets the surface of the sphere.

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Q: What is a great circle in spherical geometry?
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