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Synonyms: to the north, in the north, northerly, northwards, northward
Thus the choice of the north as corresponding to up in the northern hemisphere, or of south in that role in the southern, is, prior to world-wide communication, anything but an arbitrary one.
Globes of the earth have the North Pole at the top, or if the earth's axis is represented as inclined from vertical (normally by the angle it has relative to the axis of the earth's orbit), in the top half.