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A sphere (from Ancient Greek σφαῖρα (sphaîra) 'ball') is a surface analogous to the circle, a curve. In solid geometry, a sphere is the set of points that are all at the same distance r from a given point in three-dimensional space. That given point is the center of the sphere, and the distance r is the sphere's radius. The earliest known mentions of…
History, Basic terminology & Properties
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surface points plane circle radius spherical spheres volume center two point area curvature also called constant geometry given distance intersection
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Sphere | Euler char. | 2 | 1.00 | infobox |
| Sphere | Surface area | 4πr2 | 1.00 | infobox |
| Sphere | Symmetry group | O(3) | 1.00 | infobox |
| Sphere | Type | Smooth surface Algebraic surface | 1.00 | infobox |
| Sphere | Volume | .mw-parser-output .sfrac{white-space:nowrap}.mw-parser-output .sfrac.tion,.mw-parser-output .sfrac .tion{display:inline-block;vertical-align:-0.5em;font-size:85%;text-align:cent… | 1.00 | infobox |
| Sphere | is a | set of points that are all at the same distance r from a given point in three-dimensional space | 0.90 | text |
| Sphere | is a | fundamental surface in many fields of mathematics | 0.90 | text |
| Sphere | is a | important concept in astronomy | 0.90 | text |
| Sphere | is a | sphere with unit radius | 0.90 | text |
| Sphere | is a | boundary of a | 0.90 | text |
| Sphere | is a | quadric surface | 0.90 | text |
| Sphere | is a | same as the area of the cross section of the circumscribing cylinder | 0.90 | text |
| Sphere | is a | special type of ellipsoid of revolution | 0.90 | text |
| Sphere | is a | one with the smallest surface area | 0.90 | text |
| Sphere | is a | only embedded surface that lacks boundary or singularities with constant positive mean curvature | 0.90 | text |
| Sphere | is a | only surface that lacks a boundary with constant | 0.90 | text |
| Sphere | is a | shorter segment of the great circle that includes the points.Many theorems from classical geometry hold true for spherical geometry as well | 0.90 | text |
| Sphere | is a | smooth surface with constant Gaussian curvature at each point equal to 1/r2 | 0.90 | text |
| Sphere | is a | surface called the real projective plane | 0.90 | text |
| Sphere | is a | spherical conic | 0.90 | text |
| Sphere | is a | circle of radius rS2 | 0.90 | text |
| Sphere | is a | 2-sphere | 0.90 | text |
| Sphere | is a | inverse image of a one-point set under the continuous function | 0.90 | text |
| Sphere | is a | solid of maximum volume.Archimedes wrote about the problem of dividing a sphere into segments whose volumes are in a given ratio | 0.90 | text |
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