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Spherical sector information


A spherical sector (blue)
A spherical sector

In geometry, a spherical sector,[1] also known as a spherical cone,[2] is a portion of a sphere or of a ball defined by a conical boundary with apex at the center of the sphere. It can be described as the union of a spherical cap and the cone formed by the center of the sphere and the base of the cap. It is the three-dimensional analogue of the sector of a circle.

  1. ^ Weisstein, Eric W. "Spherical sector". MathWorld.
  2. ^ Weisstein, Eric W. "Spherical cone". MathWorld.

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Spherical sector

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scientific fields. The table of spherical harmonics contains a list of common spherical harmonics. Since the spherical harmonics form a complete set of...

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Sector

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Circular sector

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spades: Spheres Hemisphere Spherical cap Spherical lune Spherical polygon Spherical sector Spherical segment Spherical wedge Spherical zone 3-sphere Affine...

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Spherical segment

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Spherical trigonometry

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Spherical cone

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Spiral

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lists solids derived from a sphere. Dome Spherical cap Spherical sector Spherical segment Spherical shell Spherical wedge Ellipsoid Spheroid Solid bounded...

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Law of sines

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contains the spherical law of sines. The plane law of sines was later stated in the 13th century by Nasīr al-Dīn al-Tūsī. In his On the Sector Figure, he...

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Shot put

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in his On the Sector Figure, he stated the law of sines for plane and spherical triangles, discovered the law of tangents for spherical triangles, and...

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Stereographic projection

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setting for spherical analytic geometry instead of spherical polar coordinates or three-dimensional cartesian coordinates. This is the spherical analog of...

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Olaf Lechtenfeld

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John Napier

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trigonometric functions.: Ch. III  The book also has a discussion of theorems in spherical trigonometry, usually known as Napier's Rules of Circular Parts. Modern...

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in his On the Sector Figure, he stated the law of sines for plane and spherical triangles, discovered the law of tangents for spherical triangles, and...

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Circular segment

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planar shape that contains circular segments. Chord (geometry) Spherical cap Circular sector Mathematics distinguishes when necessary between the words circle...

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