Description
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, a partial case of a circle of a sphere where the plane is not required to pass through the center

Summary
To prove that the minor arc of a great circle is the shortest path connecting two points on the surface of a sphere, one has to apply calculus of variations to it.

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Activities