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Region between parallel planes intersecting a sphere
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
Spherical_segment
Set of points equidistant from a center
Hemisphere Octant of a sphere Spherical cap Spherical lune Spherical polygon Spherical sector Spherical segment Spherical wedge Spherical zone 3-sphere Affine
Sphere
Section of a sphere
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
Spherical_cap
Intersection of a sphere and cone emanating from its center
2D figure. Spherical cap Spherical segment Spherical wedge Weisstein, Eric W. "Spherical sector". MathWorld. Weisstein, Eric W. "Spherical cone". MathWorld
Spherical_sector
Coordinates comprising a distance and two angles
In mathematics, a spherical coordinate system specifies a given point in three-dimensional space by using a distance and two angles as its three coordinates
Spherical_coordinate_system
Geometry of the surface of a sphere
Spherical geometry or spherics (from Ancient Greek σφαιρικά) is the geometry of the two-dimensional surface of a sphere or the n-dimensional surface of
Spherical_geometry
Geometric shape; radial slice of a sphere
{S_{\mathrm {l} }}{S_{\mathrm {s} }}}={\frac {\alpha }{2\pi }}\,.} Spherical cap Spherical segment Ungula A. ^ A distinction is sometimes drawn between the terms
Spherical_wedge
Part of a line that is bounded by two distinct end points; line with two endpoints
In geometry, a line segment is a part of a straight line that is bounded by two distinct endpoints (its extreme points), and contains every point on the
Line_segment
Topics referred to by the same term
bounded by two end points Circular segment, the region of a circle cut off from the rest by a secant or chord Spherical segment, the solid defined by cutting
Segment
Geometry of figures on the surface of a sphere
spherical polygon is a polygon on the surface of the sphere. Its sides are arcs of great circles—the spherical geometry equivalent of line segments in
Spherical_trigonometry
Area bounded by a circular arc and a straight line
locating the centroid of a planar shape that contains circular segments. Chord (geometry) Spherical cap Circular sector Mathematics distinguishes when necessary
Circular_segment
Function used in computer graphics
path is, in fact, the spherical geometry equivalent of a path along a line segment in the plane; a great circle is a spherical geodesic. More familiar
Spherical linear interpolation
Spherical_linear_interpolation
Fundamental result in geometry
adjacent angle. More precisely, according to Lexell's theorem, given a spherical segment [ A , B ] {\textstyle [A,B]} as a fixed side and a number 0 ∘ < E
Sum_of_angles_of_a_triangle
Straight line segment that passes through the centre of a circle
In geometry, a diameter of a circle is any straight line segment that passes through the centre of the circle and whose endpoints lie on the circle. It
Diameter
Type of lens to improve visual perception
third spherical segment, called an add segment, found on the front surface of the lens. Steeper and more convergent than the base curve, the add segment combines
Corrective_lens
Radio telescope in Guizhou, China
The Five-hundred-meter Aperture Spherical Telescope (FAST; Chinese: 五百米口径球面射电望远镜), nicknamed Tianyan (天眼, lit. "Sky's/Heaven's Eye"), is a radio telescope
Five-hundred-meter Aperture Spherical Telescope
Five-hundred-meter_Aperture_Spherical_Telescope
Subfamily of cacti
cacti consisting of indeterminate branches or determinate terete or spherical segments. Synapomorphies of Opuntioideae include small deciduous, barbed spines
Opuntioideae
Abbreviations and symbols used in engineering drawing
ANN spheroidize anneal SPOTFACE Spot facing SR spherical radius Radius of a sphere or spherical segment. SS or S/S stainless steel; supersede 1. Stainless
Engineering drawing abbreviations and symbols
Engineering_drawing_abbreviations_and_symbols
Geometric object
In four-dimensional geometry, the spherinder, or spherical cylinder or spherical prism, is a geometric object, defined as the Cartesian product of a 3-ball
Spherinder
Non-Euclidean geometry
hold. Instead, as in spherical geometry, there are no parallel lines since any two lines must intersect. However, unlike in spherical geometry, two lines
Elliptic_geometry
Method of drawing geometric objects
It can only be used to either draw a line segment between two points or to extend an existing line segment. The compass can have an arbitrarily large
Straightedge and compass construction
Straightedge_and_compass_construction
Relationship between two lines that meet at a right angle
Perpendicular intersections can happen between two lines (or two line segments), between a line and a plane, and between two planes. Perpendicular is
Perpendicular
Differential equation for the description of waves or standing wave
translating and summing spherical waves. Let φ(ξ, η, ζ) be an arbitrary function of three independent variables, and let the spherical wave form F be a delta
Wave_equation
Multiple proofs regarding Earth's approximately spherical shape
The roughly spherical shape of Earth can be empirically evidenced by many different types of observation, ranging from ground level, flight, or orbit
Empirical evidence for the spherical shape of Earth
Empirical_evidence_for_the_spherical_shape_of_Earth
Straight figure with zero width and depth
or higher. The word line may also refer, in everyday life, to a line segment, which is a part of a line delimited by two points (its endpoints). Euclid's
Line_(geometry)
Overview of MH370's satellite-transmitted messages
the distance between the satellite and the aircraft, resulting in a spherical segment extending upward from the Earth's surface that is equidistant from
Malaysia Airlines Flight 370 satellite communications
Malaysia_Airlines_Flight_370_satellite_communications
Soviet and Russian mathematician and physicist
finite cylinders with flat bases, finite cones, finite paraboloids, spherical segments, and finite thin wires. This theory is now known as the Physical Theory
Pyotr_Ufimtsev
Russian components of the International Space Station
The Russian Orbital Segment (ROS) is the name given to the components of the International Space Station (ISS) constructed in Russia and operated by the
Russian_Orbital_Segment
Mathematical expression of circle like slices of sphere
spherical geometry, a spherical circle (often shortened to circle) is the locus of points on a sphere at constant spherical distance (the spherical radius)
Spherical_circle
lists solids derived from a sphere. Dome Spherical cap Spherical sector Spherical segment Spherical shell Spherical wedge Ellipsoid Spheroid Solid bounded
List of solids derived from the sphere
List_of_solids_derived_from_the_sphere
Shaped charge used in nuclear weapons
represents a cross section through a segment of a polygonal wedge. The wedges are fitted together to form a spherical device. The exploding-bridgewire detonator
Explosive_lens
Class of thermodynamic models
each molecule is conceived as comprising m spherical segments floating in space with their own spherical interactions, but then corrected for bonding
Cubic_equations_of_state
Polygon with 2 sides and 2 vertices
in transforming polyhedra. A spherical lune is a digon whose two vertices are antipodal points on the sphere. A spherical polyhedron constructed from such
Digon
Property of a mathematical space
having two real dimensions. For example, an ordinary two-dimensional spherical surface, when given a complex metric, becomes a Riemann sphere of one
Dimension
Solid with four equal triangular faces
cubic honeycomb. The tetrahedron can also be represented as a spherical tiling (of spherical triangles), and projected onto the plane via a stereographic
Regular_tetrahedron
Indus Valley archaeological site in Pakistan
beads were made in a variety of shapes like discs, cylindrical, spherical, segmented or barrel-like. Softer materials like steatite could be moulded easily
Chanhudaro
Shape with three sides
non-Euclidean geometries, three "straight" segments also determine a "triangle", for instance, a spherical triangle or hyperbolic triangle. A geodesic
Triangle
Measure in 3-dimensional geometry
visible; at either pole, only one half. The solid angle subtended by a segment of a spherical cap cut by a plane at angle γ from the cone's axis and passing through
Solid_angle
Directional planes
horizontal take on yet another meaning. On the surface of a smoothly spherical, homogenous, non-rotating planet, the plumb bob picks out as vertical
Vertical_and_horizontal
Planned private space station
2020 for how the Axiom Orbital Segment could form the basis for the Axiom Station, constructed out of the Axiom Segment and additional elements upon ISS
Axiom_Station
Relation between sides of a right triangle
equation can be derived as a special case of the spherical law of cosines that applies to all spherical triangles: cos c R = cos a R cos b R + sin
Pythagorean_theorem
Perimeter of a circle or ellipse
of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure
Circumference
Mass of molten rock ejected during an eruption
length, and have tabular vesicles. Spherical bombs also form from high to moderately fluid magma. In the case of spherical bombs, surface tension plays a
Volcanic_bomb
Array of smaller mirrors designed to act as one large curved mirror
A segmented mirror is an array of smaller mirrors designed to act as segments of a single large curved mirror. The segments can be either spherical or
Segmented_mirror
90° angle (π/2 radians)
animations). The solid angle subtended by an octant of a sphere (the spherical triangle with three right angles) equals π/2 sr. Wikimedia Commons has
Right_angle
Technology for creating optical illusions
based on insect eyes. He suggested to use a screen of tiny lenses. Spherical segments should be pressed into a sort of film with photographic emulsion on
Lenticular_printing
Polygon with one edge and one vertex
unlike any Euclidean line segment. Most definitions of a polygon in Euclidean geometry do not admit the monogon. In spherical geometry, a monogon can be
Monogon
Infinitely detailed mathematical structure
such as the Koch snowflake, one would never find a small enough straight segment to conform to the curve, because the jagged pattern would always re-appear
Fractal
Solid with twenty equal triangular faces
edges of spherical triangle. Identified by R. Buckminster Fuller, there are 31 great circles in a spherical icosahedron. Its dual is the spherical dodecahedron
Regular_icosahedron
Conditional probability paradox
{φ : a < φ < b} which are horizontal rings (curved surface zones of spherical segments) consisting of all points with latitude between a and b. The resolution
Borel–Kolmogorov_paradox
3D imaging technique
Academy of Sciences. Lippmann suggested to use a screen of tiny lenses. Spherical segments should be pressed into a sort of film with photographic emulsion on
Integral_imaging
Catholic church in Tuscany, Italy
the latter meant to be read as a type of embedded pier the use of spherical segments in the vaults of the side aisles the articulation of the structure
Basilica of San Lorenzo, Florence
Basilica_of_San_Lorenzo,_Florence
Free-surface modelling technique
A spherical droplet represented by PLIC (Piecewise Linear Interface Calculation) geometrical reconstruction technique in a VOF simulation; (a) general
Volume_of_fluid_method
1996 video game
trains and early deep-sea diving suits—specifically those made of spherical segments. Nagata did extensive research on the Second Industrial Revolution
Sakura_Wars_(1996_video_game)
German mathematician (1826–1866)
Projecting a sphere to a plane Branches Euclidean Non-Euclidean Elliptic Spherical Hyperbolic Non-Archimedean geometry Projective Affine Synthetic Analytic
Bernhard_Riemann
Type of non-Euclidean geometry
geometry to include it in the now rarely used sequence elliptic geometry (spherical geometry), parabolic geometry (Euclidean geometry), and hyperbolic geometry
Hyperbolic_geometry
Reflector that has the shape of a paraboloid
(2007-07-14). "Spherical Mirrors". Farside.ph.utexas.edu. Retrieved 2012-11-08. "3D Printing Using a 60 GHz Millimeter Wave Segmented Parabolic Reflective
Parabolic_reflector
Family of beetles
gular sutures, thick, moniliform antennae (antenna with equally sized spherical segments that looks like a string of beads), unequal tibial spurs on the front
Passandridae
Mathematical idealization of the trace left by a moving point
includes animations by Peter Moses Gallery of Bishop Curves and Other Spherical Curves, includes animations by Peter Moses The Encyclopedia of Mathematics
Curve
Property of geometry, also used to generalize the notion of "distance" in metric spaces
distance between two points on a sphere is the length of a minor spherical line segment (that is, one with central angle in [0, π]) with those endpoints
Triangle_inequality
Geometric model of the physical space
point in three-dimensional space include cylindrical coordinates and spherical coordinates, though there are an infinite number of possible methods.
Three-dimensional_space
Space with one dimension
Projecting a sphere to a plane Branches Euclidean Non-Euclidean Elliptic Spherical Hyperbolic Non-Archimedean geometry Projective Affine Synthetic Analytic
One-dimensional_space
Overview of and topical guide to geometry
Quantum geometry Riemannian geometry Ruppeiner geometry Solid geometry Spherical geometry Symplectic geometry Synthetic geometry Systolic geometry Taxicab
Outline_of_geometry
Five-pointed star polygon
is a regular five-pointed star polygon, formed from the diagonal line segments of a convex (or simple, or non-self-intersecting) regular pentagon. Drawing
Pentagram
Quadrilateral whose vertices lie on a circle
circumcenter and the point where the diagonals intersect. In spherical geometry, a spherical quadrilateral formed from four intersecting greater circles
Cyclic_quadrilateral
Genus of two-pronged bristletails
entognathous hexapoda with moniliform antennae (antenna with equally sized spherical segments that looks like a string of beads). They have two abdominal, pincer-like
Hapljapyx
Cylindrical conformal map projection
point the projection uniformly scales the image of a small portion of the spherical surface without otherwise distorting it, preserving angles between intersecting
Mercator_projection
Natural number
space, digons are degenerate, collapsing to a line segment between the two vertices. In spherical geometry, however, non-degenerate digons can exist.
2
Systematic representation of the surface of a sphere or ellipsoid onto a plane
small circle of fixed radius (e.g., 15 degrees angular radius). Sometimes spherical triangles are used.[citation needed] In the first half of the 20th century
Map_projection
Species of flowering plant
source of its scientific name is its moniliform rhizome composed of spherical segments that can form a bead-like chain. Other distinguishing characteristics
Commelina_sphaerorrhizoma
Characterizes spherical triangles with fixed base and area
In spherical geometry, Lexell's theorem holds that every spherical triangle with the same surface area on a fixed base has its apex on a small circle
Lexell's_theorem
Branch of differential geometry and differential topology
Projecting a sphere to a plane Branches Euclidean Non-Euclidean Elliptic Spherical Hyperbolic Non-Archimedean geometry Projective Affine Synthetic Analytic
Symplectic_geometry
This article lists the regular polytopes in Euclidean, spherical and hyperbolic spaces. This table shows a summary of regular polytope counts by rank
List_of_regular_polytopes
Theorem related to ordinary least squares
assumptions to the form stated above. A further generalization to non-spherical errors was given by Alexander Aitken. Suppose we are given two random
Gauss–Markov_theorem
Generalized sphere of dimension n (mathematics)
{\displaystyle n} -sphere is the setting for n {\displaystyle n} -dimensional spherical geometry. Considered extrinsically, as a hypersurface embedded in (
N-sphere
Mathematical invariance under transformations
polyominoes Symmetry group Wallpaper group For example, Aristotle ascribed spherical shape to the heavenly bodies, attributing this formally defined geometric
Symmetry
Pair of diametrically opposite points on a circle, sphere, or hypersphere
results in spherical geometry depend on choosing non-antipodal points, and degenerate if antipodal points are allowed; for example, a spherical triangle
Antipodal_point
Length of a line segment
distance between two points in a Euclidean space is the length of the line segment between them. It can be calculated from the Cartesian coordinates of the
Euclidean_distance
Straight path on a curved surface or a Riemannian manifold
shortest route between two points on the Earth's surface. For a spherical Earth, it is a segment of a great circle (see also great-circle distance). The term
Geodesic
Geometric model of the planar projection of the physical universe
Projecting a sphere to a plane Branches Euclidean Non-Euclidean Elliptic Spherical Hyperbolic Non-Archimedean geometry Projective Affine Synthetic Analytic
Euclidean_plane
United States thermonuclear warhead
are apparently orders of magnitude more difficult than for a spherical primary. A spherically symmetric simulation is one-dimensional, while an axially symmetric
W88
Mathematical space with two coordinates
Projecting a sphere to a plane Branches Euclidean Non-Euclidean Elliptic Spherical Hyperbolic Non-Archimedean geometry Projective Affine Synthetic Analytic
Two-dimensional_space
Geometric symmetry in living beings
Although these viruses are often referred to as 'spherical', they do not show true mathematical spherical symmetry. In the early 20th century, Ernst Haeckel
Symmetry_in_biology
Solid with 12 equal pentagonal faces
orthogonal, and connecting each of the golden rectangle's vertices with a segment line. There are 12 regular icosahedron vertices, considered as the center
Regular_dodecahedron
(c. 417 BC – 369 BC) Autolycus of Pitane (360–c. 290 BC) – astronomy, spherical geometry Euclid (fl. 300 BC) – Elements, Euclidean geometry (sometimes
List_of_geometers
Use of coordinates for representing vectors
polar, cylindrical, and spherical coordinates. In 1835 Giusto Bellavitis introduced the idea of equipollent directed line segments A B ≏ C D {\displaystyle
Vector_notation
Branch of mathematics
algebra and multilinear algebra. The field has its origins in the study of spherical geometry as far back as antiquity. It also relates to astronomy, the geodesy
Differential_geometry
Plane figure bounded by line segments
(/ˈpɒlɪɡɒn/) is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain are called its
Polygon
Type of lens
lens. The asphere's more complex surface profile can reduce or eliminate spherical aberration and also reduce other optical aberrations such as astigmatism
Aspheric_lens
Vector of length one
}{\partial \varphi }}=\mathbf {0} .} The unit vectors appropriate to spherical symmetry are: r ^ {\displaystyle \mathbf {\hat {r}} } , the direction
Unit_vector
Study of geometry using a coordinate system
generalized to three-dimensional space through the use of cylindrical or spherical coordinates. In cylindrical coordinates, every point of space is represented
Analytic_geometry
Exterior angle of a triangle is greater than either of the remote interior angles
exterior angle theorem is not valid in spherical geometry nor in the related elliptical geometry. Consider a spherical triangle one of whose vertices is the
Exterior_angle_theorem
Solid with six equal square faces
spherical cube represents the spherical polyhedron, which can be modeled with the arcs of great circles, creating bounds as the edges of a spherical square
Cube
standard parallel which has true scale. Circular section Circular segment Spherical cap Tangent space "Map projection - types and distortion". geokov
Secant_plane
Model of hyperbolic geometry
chords, straight line segments with ideal endpoints on the boundary sphere. It is analogous to the gnomonic projection of spherical geometry, in that geodesics
Beltrami–Klein_model
Atmospheric electrical phenomenon
lightning is a rare and unexplained phenomenon described as luminescent spherical objects that vary from pea-sized to several meters in diameter. Though
Ball_lightning
Species of single-celled organism
pattern. The mycelium has oval and spherical segments (30–40 μm) and hyphae are composed by irregular large segments of more than 400 μm, containing 1–2
Lagenidium giganteum forma caninum
Lagenidium_giganteum_forma_caninum
Topological space of dimension zero
Projecting a sphere to a plane Branches Euclidean Non-Euclidean Elliptic Spherical Hyperbolic Non-Archimedean geometry Projective Affine Synthetic Analytic
Zero-dimensional_space
Suborder of terrestrial isopods
Eubelidae, Tylidae and some other genera can roll up into a roughly spherical shape (conglobate) as a defensive mechanism or to conserve moisture; others
Woodlouse
Topics referred to by the same term
refer to: Acentric factor, in thermodynamics, the measure of the non-sphericity (acentricity) of molecules Acentric chromosome, in genetics, a chromosome
Acentric
SPHERICAL SEGMENT
SPHERICAL SEGMENT
SPHERICAL SEGMENT
Girl/Female
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Telugu, Traditional
Meditation
Boy/Male
Hindu, Indian
Yoga
Boy/Male
Indian
A flower name
Boy/Male
Hindu, Indian
It's a Shining Light
Girl/Female
Tamil
Brilliant, Illuminated
Male
English
Great Protector
Boy/Male
Arabic, Muslim
Name of a Saint
Boy/Male
Tamil
One who holds mountain
Girl/Female
Indian
Fruitful, Fertile, Prolific
Boy/Male
Indian, Punjabi, Sikh
Lord's Lamp
SPHERICAL SEGMENT
SPHERICAL SEGMENT
SPHERICAL SEGMENT
SPHERICAL SEGMENT
SPHERICAL SEGMENT
a.
See Spheroidal.
adv.
Spherically.
a.
Having the form of a globe; spherical.
a.
Having the form of a bunch of grapes; like a cluster of grapes, as a mineral presenting an aggregation of small spherical or spheroidal prominences.
a.
Globular; spherical; orbicular.
v. t.
To form into roundness; to make spherical, or spheral; to perfect.
a.
Spherical; orbicular; orblike; circular.
n.
The doctrine of the sphere; the science of the properties and relations of the circles, figures, and other magnitudes of a sphere, produced by planes intersecting it; spherical geometry and trigonometry.
a.
Exactly spherical; globular.
a.
Alt. of Schetical
a.
Made convex; protuberant in a spherical form.
n.
A rudimentary form of crystallite, spherical in shape.
a.
Round; circular; spherical.
n.
A portion of a spherical or other convex surface.
a.
Alt. of Spheric
a.
Round; spherical; starlike.
a.
Spherical.
a.
Having the form of a sphere; like a sphere; globular; orbicular; as, a spherical body.
n.
Freedom from spherical aberration.
n.
The eye, as luminous and spherical.