Limiting Cases
–At the Earth’s north pole, looking overhead all stars appear to circle around the north celestial pole.
–At the equator:
•Stars on the celestial equator rise in the east, move overhead, then set in the west
•The N and S celestial poles are just on your N and S horizons, and stars near those points still circle around them.  But those stars are only visible for the upper half of their circles.
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From Voyages through the Universe, by Fraknoi et al.