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单词 solid angle
释义
solid angle

Physics
  • Symbol Ω‎. The three-dimensional ‘angle’ formed by the vertex of a cone. When this vertex is the centre of a sphere of radius r and the base of the cone cuts out an area s on the surface of the sphere, the solid angle in steradians is defined as s/r2.


Mathematics
  • The 3-dimensional analogue of 2-dimensional angle. Just as an angle is bounded by two lines, a solid angle is bounded by the generators of a cone.

    A solid angle is measured in steradians: this is defined to be the area of the intersection of the solid angle with a sphere of unit radius. Thus the ‘complete’ solid angle at a point measures 4π‎ steradians, this being the surface area of the unit sphere. The steradian is the SI unit for measuring solid angle.

    solid angle

    The shaded region subtends a solid angle at the origin


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