Definition:Spherical Sector
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Definition
A spherical sector is a surface of revolution of a sector of a circle $C$ rotated $360 \degrees$ around a diameter of $C$.
The surfaces of the spherical sector are:
- the zone of $S$, formed by the arc of the sector
- one or two conical surfaces formed by the radius or radii of the sector
where $S$ is the sphere formed as the surface of revolution of $C$ as it rotates $360 \degrees$ around the same diameter of $C$.
Spherical Cone
A spherical cone is a spherical sector $S$ whose axis of revolution passes through the sector of the circle which is the generating curve of $S$.
Also see
- Results about spherical sectors can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): spherical sector
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): spherical sector