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Spherical cap information


An example of a spherical cap in blue (and another in red)

In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. It is also a spherical segment of one base, i.e., bounded by a single plane. If the plane passes through the center of the sphere (forming a great circle), so that the height of the cap is equal to the radius of the sphere, the spherical cap is called a hemisphere.

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Spherical cap

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In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. It is also a spherical segment of one base, i...

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Solid angle

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the apex of the solid angle, and with apex angle 2θ, is the area of a spherical cap on a unit sphere Ω = 2 π ( 1 − cos ⁡ θ )   = 4 π sin 2 ⁡ θ 2 . {\displaystyle...

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Steradian

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solid angle in steradians, projected onto a sphere, gives the area of a spherical cap on the surface. The name is derived from the Greek στερεός stereos 'solid'...

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Spherical sector

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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...

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Spherical segment

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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...

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Spherical harmonics

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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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Sphere

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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 wedge

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{S_{\mathrm {l} }}{S_{\mathrm {s} }}}={\frac {\alpha }{2\pi }}\,.} Spherical cap Spherical segment Ungula A. ^ A distinction is sometimes drawn between the...

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Percussion cap

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a cap-lock mechanism and rifled barrel is a percussion rifle. Cap and ball describes cap-lock firearms discharging a single bore-diameter spherical bullet...

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Bowl

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consuming food. The interior of a bowl is characteristically shaped like a spherical cap, with the edges and the bottom forming a seamless curve. This makes...

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Spherical circle

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spherical geometry, a spherical circle (often shortened to circle) is the locus of points on a sphere at constant spherical distance (the spherical radius)...

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Circular segment

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

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Cap set

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massimo ordine delle calotte in \(S_4,3\)" [The maximal order of the spherical cap in \(S_4,3\)]. Le Matematiche (in Italian). 25: 149–157. ISSN 0373-3505...

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Concentration of measure

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prescribed spherical measure σ n ( A ) {\displaystyle \sigma _{n}(A)} , the spherical cap { x ∈ S n | d i s t ( x , x 0 ) ≤ R } , {\displaystyle \left\{x\in S^{n}|\mathrm...

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List of solids derived from the sphere

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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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Mounteere cap

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Mounteere cap (also known as a Montero cap) is a type of cap formerly worn in Spain for hunting. It has a spherical crown and (frequently fur-lined) flaps...

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Mushroom cloud

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motion, once the hot gas has cleared the ground sufficiently, is as a "spherical cap bubble", as this gives agreement between the rate of rise and observed...

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Rock cupule

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depressions on rock surfaces that resemble the shape of an inverse spherical cap or dome. They were made by direct percussion with hand-held hammer-stones...

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Dewetting

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Surface tension diagram of a liquid droplet on a solid substrate. The surface of the liquid has the shape of a spherical cap, due to Laplace pressure...

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Macrolepiota procera

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recipe is to bake caps stuffed with ground pork, oregano, and garlic. Italians and Austrians also serve the young, still spherical caps stuffed with seasoned...

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Spherical polyhedron

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In geometry, a spherical polyhedron or spherical tiling is a tiling of the sphere in which the surface is divided or partitioned by great arcs into bounded...

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Ellipsoidal dome

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dome Geodesic dome Geodesics on an ellipsoid Great ellipse Onion dome Spherical cap Spheroid Krivoshapko, Sergey (November 2007). "Research on General and...

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Bactritida

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Hedstroemoceras: it is about 10 mm in diameter, and is short, forming a spherical cap. True bactritids more strongly resemble late Silurian and Devonian orthocerids...

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