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Spherical circle - Wikipedia
In spherical geometry, a spherical circle (often shortened to circle) is the locus of points on a sphere at constant spherical distance (the spherical radius) from a given point on the sphere (the pole or spherical center). It is a curve of constant geodesic curvature relative to the sphere, analogous to a line or circle in … See more
Geodesy
In the geographic coordinate system on a globe, the parallels of latitude are small circles, with the See moreWikipedia text under CC-BY-SA license Sphere - Wikipedia
In three dimensions, the volume inside a sphere (that is, the volume of a ball, but classically referred to as the volume of a sphere) is
where r is the radius and d is the diameter of the sphere. Archimedes first derived this formula by showing that the volume inside a sphere is twice the volume between the sphere and the circumscribed cylinder of that sphere (having the h…Wikipedia · Text under CC-BY-SA licenseSpherical geometry - Wikipedia
In spherical geometry, the basic concepts are point and great circle. However, two great circles on a plane intersect in two antipodal points, unlike coplanar lines in Elliptic geometry. In the …
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Circle - Wikipedia
The circle is the one-dimensional hypersphere (the 1-sphere). In topology, a circle is not limited to the geometric concept, but to all of its homeomorphisms. Two topological circles are equivalent if one can be transformed into the other via a …
Great circle - Wikipedia
A great circle is the largest circle that can be drawn on any given sphere. Any diameter of any great circle coincides with a diameter of the sphere, and therefore every great circle is concentric with the sphere and shares the same radius.
Great-circle distance - Wikipedia
The great-circle distance, orthodromic distance, or spherical distance is the distance between two points on a sphere, measured along the great-circle arc between them. This arc is the shortest path between the two points on the …
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Circles of a sphere - Wikipedia
Pages for logged out editors learn more. Contributions; Talk; Circles of a sphere
Spherical trigonometry - Wikipedia
The octant of a sphere is a spherical triangle with three right angles.. Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the sides and angles of spherical triangles, traditionally …
Circumference - Wikipedia
The circumference of a sphere is the circumference, or length, of any one of its great circles. Circle The circumference of a circle is the distance around it, but if, as in many elementary treatments, distance is defined in terms of straight …
n-sphere - Wikipedia
In mathematics, an n-sphere or hypersphere is an -dimensional generalization of the -dimensional circle and -dimensional sphere to any non-negative integer . The circle is …
Sphere packing - Wikipedia
Sphere packing finds practical application in the stacking of cannonballs.. In geometry, a sphere packing is an arrangement of non-overlapping spheres within a containing space. The spheres considered are usually all of identical size, …
Area of a circle - Wikipedia
In geometry, the area enclosed by a circle of radius r is πr 2.Here, the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to …
Spherical Geometry | Brilliant Math & Science Wiki
Spherical geometry works similarly to Euclidean geometry in that there still exist points, lines, and angles. For instance, a "line" between two points on a sphere is actually a great circle of the …
Spherical circle - Wikiwand
In spherical geometry, a spherical circle (often shortened to circle) is the locus of points on a sphere at constant spherical distance (the spherical radius) from a given point on the sphere …
Sphere | Math Wiki - Fandom
A sphere (from Greek σφαίρα — sphaira, "globe, ball,"[1]) is perfectly round geometrical object in three-dimensional space, such as the shape of a round ball. Like a circle in two dimensions, a …
Spherical circle - Wikiwand
In spherical geometry, a spherical circle (often shortened to circle) is the locus of points on a sphere at constant spherical distance (the spherical radius) from a given point on the sphere …
Spherical geometry - Encyclopedia of Mathematics
Apr 19, 2014 · The great circles of a sphere are its geodesics (cf. Geodesic line), and for this reason their role in spherical geometry is the same as the role of straight lines in planimetry. …
Difference Between Circle and Sphere in Tabular Form - BYJU'S
Definition of Circle and Sphere. A Circle is a two-dimensional figure whereas, a Sphere is a three-dimensional object. Area of a Circle = π r 2 and Area of a Sphere = 4 π r 2; A circle has no …
Circle vs. Sphere: What’s the Difference?
Nov 5, 2023 · A "Circle" is a flat, 2D shape with all points equidistant from a center, while a "Sphere" is a 3D object with all surface points equidistant from its center.
Is there a formal mathematical name for the geometry of a circle ...
Mar 31, 2021 · We often refer to an " n n -sphere", usually to say S1 S 1 is a circle and S2 S 2 is the surface of an ordinary sphere. An n n -sphere sits in Rn+1 R n + 1. I sometimes see …
Sphere – Circles and Pi - Mathigon
A sphere is a three-dimensional solid consisting of all points that have the same distance from a given center C. This distance is called the radius r of the sphere. You can think of a sphere as …
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