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{{distinguish|Spherical photo}} ...along <math>\alpha</math>, then the curve <math>\sigma = T </math> is the spherical image of <math>\alpha</math>. All points of <math>\sigma</math> must lie on ...

[[File:LaoHaiKugelschicht1.png|thumb|A spherical segment]] ...parallel planes intersecting a sphere forming a spherical segment (i.e., a spherical frustum)]] ...

[[File:Kugelschale.svg|300px|thumb|spherical shell, right: two halves]] In [[geometry]], a '''spherical shell''' (a '''[[Ball (mathematics)#Regions|ball shell]]''') is a generaliz ...

In [[differential geometry]], the '''tangent indicatrix''' of a closed [[space curve]] is a [[curve]] ...journal |last=Solomon |first=Bruce |date=January 1996 |title=Tantrices of Spherical Curves |url=https://www.tandfonline.com/doi/full/10.1080/00029890.1996.1200 ...

[[File:Kugel-sektor.png|thumb|A spherical sector (blue)]] [[File:Spherical sector.png|thumb|A spherical sector]] ...

[[File:Spherical Wedge.svg|thumb|A spherical wedge with radius {{mvar|r}} and angle of the wedge {{mvar|α}}]] ...{{pi}}}} [[radian]]s (180°) is called a ''[[Sphere|hemisphere]]'', while a spherical wedge of {{math|1=''α'' = 2{{pi}}}} radians (360°) constitutes a complete b ...

...ler characteristic|Euler relation]] on the number of d-dimensional [[Face (geometry)|faces]]. ...(hyper)volume of the polytope (i.e, the fraction of the ''n''-dimensional spherical or hyperbolic space); the angles <math>\angle(F)</math> also have to be exp ...

{{short description|Relation between the side lengths and angles of a spherical triangle}} [[Image:Law-of-haversines.svg|right|thumb|Spherical triangle]] ...

...the original [[Bernstein's problem]] in the field of global [[differential geometry]], first proposed by [[Shiing-Shen Chern]] in 1969, and then later in 1970, Additionally, the '''spherical Bernstein's problem''', while itself a generalization of the original Berns ...

...'''orbital integral''' is an [[integral transform]] that generalizes the [[spherical mean]] operator to [[homogeneous space]]s. Instead of [[integral|integrati ...group]]. Generalized spheres are then actual [[geodesic]] spheres and the spherical averaging operator is defined as ...

...pressing this equation in other coordinate systems, such as cylindrical or spherical coordinates, which better describe specific geometries like pipes, spheres, === 3.Spherical Coordinate System === ...

===Spherical geometry=== ===Cylindrical geometry=== ...

...Borel measure]] on the [[n-sphere|''n''-sphere]] '''S'''^''n''. Spherical measure is often normalized so that it is a [[probability measure]] on the ==Definition of spherical measure== ...

...ork). Springer, New York, second edition, 2003.</ref> More specifically, a spherical contact distribution function is defined as probability distribution of the ...ation to a more general set, and not simply a sphere as in the case of the spherical contact distribution function. ...

...sional geometry]], the '''spherinder''', or '''spherical cylinder''' or '''spherical prism''', is a geometric object, defined as the [[Cartesian product]] of a Like the [[duocylinder]], it is also analogous to a [[Cylinder (geometry)|cylinder]] in 3-space, which is the Cartesian product of a disk with a [[l ...

...pressing this equation in other coordinate systems, such as cylindrical or spherical coordinates, which better describe specific geometries like pipes, spheres, === 3.Spherical Coordinate System === ...

'''Seiffert's spherical spiral''' is a [[curve on a sphere]] made by moving on the sphere with cons The Seiffert's spherical spiral can be expressed in cylindrical coordinates as ...

In [[geometry]], a '''slab''' is a region between two [[parallel lines]] in the [[Euclide * [[Spherical shell]] ...

In [[mathematics]], more specifically in [[differential geometry]] and [[topology]], various types of [[Function (mathematics)|functions]] b In complex geometry, ramified covering spaces are used to model [[Riemann surface]]s, and to an ...

...of the remote interior angles. This is a fundamental result in [[absolute geometry]] because its proof does not depend upon the [[parallel postulate]]. In several high school treatments of geometry, the term "exterior angle theorem" has been applied to a different result,< ...