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- 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).Learn more: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).en.wikipedia.org/wiki/Spherical_circleEvery plane that intersects a sphere gives a certain circle as section; if the intersecting plane passes through the centre $O$ of the sphere, then a so-called great circle is obtained as the intersection.encyclopediaofmath.org/wiki/Spherical_geometrySpherical 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 sphere, which is also the projection of a line in three-dimensional space onto the sphere.brilliant.org/wiki/spherical-geometry/
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See all on WikipediaSpherical 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 more
Wikipedia 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 …
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 …
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Spherical trigonometry - Wikipedia
Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the sides and angles of spherical triangles, traditionally expressed using trigonometric functions. On the sphere, …
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.
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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 sphere, which is also the projection of a line in …
Circumference - Wikipedia
The circumference of a sphere is the circumference, or length, of any one of its great circles. The circumference of a circle is the distance around it, but if, as in many elementary treatments, distance is defined in terms of straight lines, this …
Tammes problem - Wikipedia
Some natural systems such as this coral require approximate solutions to problems similar to the Tammes problem. In geometry, the Tammes problem is a problem in packing a given number …
3-sphere - Wikipedia
Direct projection of 3-sphere into 3D space and covered with surface grid, showing structure as stack of 3D spheres (2-spheres) In mathematics, ... A disk is a 2-ball, and the boundary of a disk is a circle (a 1-sphere). Let a pair of disks …
Sphere | Geometry, Symmetry, Circumference
Oct 16, 2024 · sphere, In geometry, the set of all points in three-dimensional space lying the same distance (the radius) from a given point (the centre), or the result of rotating a circle about one of its diameters. The components and …
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. …
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 …
geometry - Why do 4 circles cover the surface of a sphere ...
Here's a cute interpretation of the problem: On a spherical wedge of angle 90°, the curved outer surface has the same surface area as the two planar semicircular ends put together. One can …
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 …
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 …
Armillary sphere - Wikipedia
Armillary sphere diagram. The exterior parts of this machine are a compages [or framework] of brass rings, which represent the principal circles of the heavens: . The equinoctial A, which is …
Overlapping circles grid - Wikipedia
An overlapping circles grid is a geometric pattern of repeating, overlapping circles of an equal radius in two-dimensional space.Commonly, designs are based on circles centered on …
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 …
Surface Area of a Sphere | Brilliant Math & Science Wiki
We can obtain a sphere by revolving half a circle about the x x -axis. This circle can be parameterized as x (t)=r\cos (t) x(t) = rcos(t) and y (t) = r\sin (t) y(t) = rsin(t) for 0 \leq t \leq \pi 0 …
Sphere - Wikiwand
Circles on the sphere are, like circles in the plane, made up of all points a certain distance from a fixed point on the sphere. The intersection of a sphere and a plane is a circle, a point, or …
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