Sphere
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| + | [[Image:Drawing by Étienne-Louis Boullée (1728 - 1799) .jpg|thumb|left|200px|''[[Cenotaph for Newton]]'' (1784) by French architect Étienne-Louis Boullée]] | ||
| + | {| class="toccolours" style="float: left; margin-left: 1em; margin-right: 2em; font-size: 85%; background:#c6dbf7; color:black; width:30em; max-width: 40%;" cellspacing="5" | ||
| + | | style="text-align: left;" | "Nature is an infinite sphere, whose center is everywhere and whose circumference is nowhere" [[Nature is an infinite sphere, whose center is everywhere and whose circumference is nowhere|[...]]] | ||
| + | |} | ||
| + | [[Image:Trylon, Perisphere and Helicline (Samuel H. Gottscho).jpg|thumb|200px|The [[Trylon and Perisphere]], two [[Modernist architecture|modernistic structures]] at the [[1939 New York World's Fair|New York World's Fair of 1939-1940]]<br> | ||
| + | <small>Photo: [[Trylon, Perisphere and Helicline (Samuel H. Gottscho)]]</small>]] | ||
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| - | :''[[Spheres]]'' | ||
| - | # A regular three-dimensional object in which every [[cross-section]] is a [[circle]]; the figure described by the revolution of a semi-circle about its diameter. | + | A '''sphere''' (from [[Greek language|Greek]] ''σφαῖρα''—''sphaira'', "globe, ball") is a perfectly round [[geometrical]] object in [[solid geometry|three-dimensional space]], such as the shape of a round [[ball]]. Like a [[circle]] in two dimensions, a perfect sphere is completely [[symmetrical]] around its center, with all points on the surface lying the same distance ''r'' from the center point. This distance ''r'' is known as the '''[[radius]]''' of the sphere. The maximum straight distance through the sphere is known as the '''[[diameter]]''' of the sphere. It passes through the center and is thus twice the radius. |
| - | # A spherical object; a [[globe]] or [[ball]]. | + | |
| - | # The apparent outer limit of space, the edge of the heavens, imagined as a hollow globe within which celestial bodies appear to be embedded. | + | In higher mathematics, a careful distinction is made between the sphere (a two-dimensional spherical surface [[embedding|embedded]] in three-dimensional [[Euclidean space]]) and the [[Ball (mathematics)|ball]] (the three-dimensional shape consisting of a sphere and its interior). |
| - | # Any of the concentric hollow transparent globes formerly believed to rotate around the [[Earth]], and which carried the heavenly bodies; there were originally believed to be eight, and later nine and ten; friction between them was thought to cause a harmonious sound (the ''[[music of the spheres]]''). | + | |
| - | #* '''1603''', John Florio, translating Michel de Montaigne, ''Essays'', vol. 1 p. 153: | + | ==See also== |
| - | #*: It is more simplicitie to teach our children [...] [t]he knowledge of the starres, and the motion of the eighth '''spheare''', before their owne. | + | *[[Nature is an infinite sphere, whose center is everywhere and whose circumference is nowhere]] |
| - | # An area of activity for a planet; or by extension, an area of influence for a [[god]], [[hero]] etc. | + | *[[Cube]] |
| - | # The region in which something or someone is active; one's [[province]], [[domain]]. | + | *[[Spherical Earth]] |
| + | *[[Spheres (Peter Sloterdijk)]] | ||
| - | ====Synonyms==== | ||
| - | * (''object''): [[ball]], [[globe]], [[orb]] | ||
| - | * (''region of activity''): [[area]], [[domain]], [[field]], [[orbit]], [[sector]] | ||
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A sphere (from Greek σφαῖρα—sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space, such as the shape of a round ball. Like a circle in two dimensions, a perfect sphere is completely symmetrical around its center, with all points on the surface lying the same distance r from the center point. This distance r is known as the radius of the sphere. The maximum straight distance through the sphere is known as the diameter of the sphere. It passes through the center and is thus twice the radius.
In higher mathematics, a careful distinction is made between the sphere (a two-dimensional spherical surface embedded in three-dimensional Euclidean space) and the ball (the three-dimensional shape consisting of a sphere and its interior).
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See also
- Nature is an infinite sphere, whose center is everywhere and whose circumference is nowhere
- Cube
- Spherical Earth
- Spheres (Peter Sloterdijk)
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