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  • Sphere - Wikipedia
    A sphere (from Greek σφαῖρα, sphaîra) [1] is a surface analogous to the circle, a curve In solid geometry, a sphere is the set of points that are all at the same distance r from a given point in three-dimensional space [2] That given point is the center of the sphere, and the distance r is the sphere's radius The earliest known mentions of spheres appear in the work of the ancient
  • Surface area - Wikipedia
    A sphere of radius r has surface area 4πr2 The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies [1] The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i e , objects with
  • n-sphere - Wikipedia
    The surface area, or properly the ⁠ ⁠ -dimensional volume, of the ⁠ ⁠ -sphere at the boundary of the ⁠ ⁠ -ball of radius ⁠ ⁠ is related to the volume of the ball by the differential equation
  • On the Sphere and Cylinder - Wikipedia
    The ratio of the volume of a sphere to the volume of its circumscribed cylinder is 2:3, as was determined by Archimedes The principal formulae derived in On the Sphere and Cylinder are those mentioned above: the surface area of the sphere, the volume of the contained ball, and surface area and volume of the cylinder Let be the radius of the sphere and cylinder, and be the height of the
  • Spherical segment - Wikipedia
    Terminology for spherical segments In geometry, a spherical segment is the solid defined by cutting a sphere or a ball with a pair of parallel planes It can be thought of as a spherical cap with the top truncated, and so it corresponds to a spherical frustum The surface of the spherical segment (excluding the bases) is called spherical zone
  • Spherical geometry - Wikipedia
    In a small triangle on the face of the earth, the sum of the angles is only slightly more than 180 degrees A sphere with a spherical triangle on it Spherical geometry or spherics (from Ancient Greek σφαιρικά) is the geometry of the two- dimensional surface of a sphere [a] or the n-dimensional surface of higher dimensional spheres
  • Sphericity - Wikipedia
    Hakon Wadell defined sphericity as the surface area of a sphere of the same volume as the object divided by the actual surface area of the object First we need to write surface area of the sphere, in terms of the volume of the object being measured,
  • Spherical cap - Wikipedia
    Utilizing the pyramid (or cone) volume formula of , where is the infinitesimal area of each pyramidal base (located on the surface of the sphere) and is the height of each pyramid from its base to its apex (at the center of the sphere)





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