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Summary Of: Sphere (geometry)

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Sphere (disambiguation) | Globose nucleus | A sphere. | | Greek | symmetrical | geometrical | ball | surface | mathematics | three-dimensional | real number | ball | unit sphere | physics | analytic geometry | locus | trigonometric functions | spherical coordinates | differential equation | orthogonal | surface area | radius | surface area | volume | surface tension | specific surface area | An image of one of the most accurate man made spheres, as it refracts the image of Einstein in the background. This sphere was a fused quartz gyroscope for the Gravity Probe B experiment which differs in shape from a perfect sphere by no more than 40 atoms of thickness. It is thought that only neutron stars are smoother. It was announced on 1 July, 2008 that Australian scientists had created even more perfect spheres, accurate to 0.3 nanometers, as part of an international hunt to find a new global standard kilogram. | | refracts | fused quartz | gyroscope | Gravity Probe B | neutron stars | 1 July | Australian | nanometers | kilogram | cylinder | Archimedes | circle | diameter | ellipse | spheroid | antipodal points | great circle | great-circle distance | Riemannian circle | equator | meridians | longitude | axis of rotation | latitude | Earth | spheroidal | geoid | real projective plane | n-sphere | dimension | natural number | circle | 3-sphere | hyperspheres | Gamma function | metric space | normed | unit sphere | ball | Euclidean metric | topology | homeomorphic | (n+1)-ball | homeomorphic | metric | discrete topology | up to | homeomorphism | knot | up to | homeomorphism | spheroid | compact | topological manifold | boundary | smooth | diffeomorphic | Heine-Borel theorem | Great circle on a sphere | | Great circle | Spherical geometry | plane geometry | points | lines | arc length | great circle | geodesic | parallel postulate | spherical trigonometry | angles | trigonometry | similar | David Hilbert | Stephan Cohn-Vossen | plane | result | Apollonius of Perga | circle | plane | Meissner's tetrahedron | A normal vector to a sphere, a normal plane and its normal section. The curvature of the curve of intersection is the sectional curvature. For the sphere each normal section through a given point will be a circle of the same radius, the radius of the sphere. This means that every point on the sphere will be an umbilical point. | | normal direction | principal curvatures | umbilical points | principal curvature | focal surface | channel surfaces | cones | toruses | cyclides | Geodesics | soap bubbles | surface tension | mean curvature | minimal surfaces | Gaussian curvature | embedded | pseudosphere | Euler angles | rotation group | surfaces of revolution | helicoids | 3-sphere | Alexander horned sphere | Ball (mathematics) | Banach-Tarski Paradox | Circle | Curvature | Directional statistics | Dome (mathematics) | Dyson sphere | Hoberman sphere | Homology sphere | Homotopy groups of spheres | Homotopy sphere | Hypersphere | Metric space | Pseudosphere | Riemann sphere | Smale's paradox | Solid angle | Spherical cap | Spherical coordinates | Spherical Earth | Zoll sphere | Hilbert, David | ISBN 0-8284-1087-9 | | | | | | | | 2007 | 11-24 | Categories | Differential geometry | Elementary geometry | Surfaces | Topology | Greek loanwords |
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Sphere (geometry)".