Any line bisecting the surface of a sphere into two equal halves.

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Air corridor in spherical surface: calculating great circle tangent points with small circles

I have the necessity to draw on a sphere (earth) an air corridor. In the cartesian plane, this corridor is made by some circles and from outer tangents that connect these circles as you can see in ...
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Lines as Great circles on a map

How can I get line features to appear as great circles on a map, instead of straight lines? Thanks,