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Categories: Differential geometry Elementary geometry Surfaces Topology Greek loanwords |
Summary Of: Spherea sphere is the set of all points in... a mathematical sphere is considered to be a two... a sphere is an object... A sphere of any radius centered at the origin is described by the following... The sphere has the smallest surface area among all surfaces enclosing a given volume and it encloses... the sphere appears in nature... area in relation to the mass of a sphere is called the... 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... 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... experiment which differs in shape from a perfect sphere by no more than 40 atoms of thickness... for a given sphere has a volume which is 3... A sphere can also be defined as the surface formed by rotating a... Pairs of points on a sphere that lie on a straight line through its center are called... is a circle on the sphere that has the same center and radius as the sphere... If a particular point on a sphere is designated as its... Circles on the sphere that are parallel to the equator are lines of... A sphere is divided into two equal... sphere is a pair of endpoints of an interval... sphere is an ordinary sphere... sphere of unit radius centred at the origin is denoted... Note that the ordinary sphere is a 2... sphere of radius 1 is... a sphere may be an empty set... sphere is a pair of points with the... sphere is a circle... sphere is an ordinary sphere... A sphere need not be... The sphere is the inverse image of a one... Therefore the sphere is a closed... path connecting two points lying entirely in the sphere is a segment of the... describe eleven properties of the sphere and discuss whether these properties uniquely determine the sphere... which can be thought of as a sphere with infinite radius... The points on the sphere are all the same distance from a fixed point... first part is the usual definition of the sphere and determines it uniquely... The sphere has constant width and constant girth... For the sphere each normal section through a given point will be a circle of the same radius... This means that every point on the sphere will be an umbilical point... For the sphere each normal section through a given point will be a circle of the same radius... This means that every point on the sphere will be an umbilical point... For the sphere each normal section through a given point will be a circle of the same radius... This means that every point on the sphere will be an umbilical point... for the sphere these on the lines radiating out from the center of the sphere... For the sphere the curvatures of all normal sections are equal... The sphere and plane are the only surfaces with this property... The sphere does not have a surface of centers... For the sphere the center of every osculating circle is at the center of the sphere and the... All geodesics of the sphere are closed curves... For the sphere the geodesics are great circles... the sphere is the one with the smallest surface area... the sphere is the one having the greatest volume... The sphere has the smallest total mean curvature among all convex solids with a given surface area... these are constant at all points of the sphere then so is the mean curvature... The sphere has constant positive mean curvature... The sphere is the only surface without boundary or singularities with constant positive mean curvature... The sphere has constant positive Gaussian curvature... obtained by cutting a small slit in the sphere and bending it... these other surfaces would have boundaries and the sphere is the only surface without boundary with constant positive Gaussian curvature... The sphere is transformed into itself by a three... Consider a unit sphere place at the origin... computer animation showing how the inside of a sphere can turn outside...Encyclodia Page On: Sphere |
