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I may be missing something here but the example given of finding the midpoint between to points across the antimeridian seems at best misleading. The formula given, averaging each coordinate, does not work for spherical coordinates as this post demonstrates. And the correct formula for doing so is never given.

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It works approximately over small distances, though (such as the New Zealand example). Going down the spherical coordinates rabbit hole, so that for example you could find the midpoint on a flight from Los Angeles to Tokyo, would detract from the point of the post.

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