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    $\begingroup$ Are you looking for the antipode of a point on earth's surface ? Would it help to take the equator as reference instead of a pole and poke from Monterey right through the earth's center until you come out the other side ? en.wikipedia.org/wiki/Antipodes $\endgroup$
    – user22279
    Commented May 6, 2021 at 9:59
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    $\begingroup$ Everything is north of the south pole by definition. $\endgroup$ Commented May 6, 2021 at 10:46
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    $\begingroup$ Imagine starting from the equator. If you go halfway around the world (in any direction!), you're still on the equator. $\endgroup$ Commented May 6, 2021 at 18:53
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    $\begingroup$ @B.ClayShannon using the ordinary definition, when you go "halfway around the world" it doesn't matter what direction you set out in. All of the great circle paths through a given point converge on one other point, which is the antipode, and the distance along any of those paths to the antipode is half the circumference of the Earth :) $\endgroup$
    – hobbs
    Commented May 7, 2021 at 1:13
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    $\begingroup$ Antipode of Monterey, United States $\endgroup$
    – Fred
    Commented May 8, 2021 at 11:07