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This is a special case of the pole of a circle.
Let $S$ be a sphere whose center is $O$.
Let $C$ be a great circle of $S$.
Let $AB$ be the diameter of $S$ situated perpendicular to the plane of $C$.
The points $A$ and $B$, where the diameter intersects $S$, are the poles of the great circle $C$.
- 1976: W.M. Smart: Textbook on Spherical Astronomy (6th ed.) ... (previous) ... (next): Chapter $\text I$. Spherical Trigonometry: $2$. The spherical triangle.