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  2. Cone - Wikipedia

    en.wikipedia.org/wiki/Cone

    A right circular cone and an oblique circular cone A double cone (not shown infinitely extended) 3D model of a cone. A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex.

  3. Discone antenna - Wikipedia

    en.wikipedia.org/wiki/Discone_antenna

    The cone: The length of the cone should be a quarter wavelength of the antenna's lowest operating frequency. [2] The cone angle is generally from 25 to 40 degrees. The insulator : The disc and cone must be separated by an insulator, the dimensions of which determine some of the antenna's properties, especially on near its high frequency limit.

  4. Solid angle - Wikipedia

    en.wikipedia.org/wiki/Solid_angle

    The external surface area A of the cap equals r2 only if solid angle of the cone is exactly 1 steradian. Hence, in this figure θ = A/2 and r = 1. The solid angle of a cone with its apex at the apex of the solid angle, and with apex angle 2 θ, is the area of a spherical cap on a unit sphere

  5. Conical surface - Wikipedia

    en.wikipedia.org/wiki/Conical_surface

    Patches of conical surfaces that avoid the apex are special cases of developable surfaces, surfaces that can be unfolded to a flat plane without stretching. When the directrix has the property that the angle it subtends from the apex is exactly 2 π {\displaystyle 2\pi } , then each nappe of the conical surface, including the apex, is a ...

  6. Numerical aperture - Wikipedia

    en.wikipedia.org/wiki/Numerical_aperture

    As a pencil of light goes through a flat plane of glass, its half-angle changes to θ 2. Due to Snell's law , the numerical aperture remains the same: NA = n 1 sin θ 1 = n 2 sin θ 2 . In optics , the numerical aperture ( NA ) of an optical system is a dimensionless number that characterizes the range of angles over which the system can accept ...

  7. Frustum - Wikipedia

    en.wikipedia.org/wiki/Frustum

    The Egyptians knew the correct formula for the volume of such a truncated square pyramid, but no proof of this equation is given in the Moscow papyrus. The volume of a conical or pyramidal frustum is the volume of the solid before slicing its "apex" off, minus the volume of this "apex":

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  9. Hypercone - Wikipedia

    en.wikipedia.org/wiki/Hypercone

    This volume is given by the formula ⁠ 1 / 3 ⁠ π r 4, and is the 4-dimensional equivalent of the solid cone. The ball may be thought of as the 'lid' at the base of the 4-dimensional cone's nappe, and the origin becomes its 'apex'. This shape may be projected into 3-dimensional space in various ways.