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We are interested here in the geometry of an ordinary sphere. In plane geometry we study points, lines, triangles, polygons, etc. On the sphere we have points, but there are no straight lines --- at least not in the usual sense.
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math.rice.edu/~pcmi/sphere/
math.rice.edu/~pcmi/sphere/
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Sphere Facts ... Of all the shapes, a sphere has the smallest surface area for a volume. Or put another way it can contain the greatest volume for a fixed surface area. ... The sphere appears in nature whenever a surface wants to be as small as possible. Examples include bubbles and water drops, can you think of more?
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www.mathsisfun.com/geometry/sphere.html
www.mathsisfun.com/geometry/sphere.html
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Spherical geometry - Wikipedia, the free encyclopedia
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Spherical geometry is the geometry of the two-dimensional surface of a sphere. It is an example of a non-Euclidean geometry. Two practical applications of the principles of spherical geometry are to ...
en.wikipedia.org/wiki/Spherical_geometry
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Lie sphere geometry - Wikipedia, the free encyclopedia
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Lie sphere geometry is a geometrical theory of planar or spatial geometry in which the fundamental concept is the circle or sphere. It was introduced by Sophus Lie in the nineteenth century. The main...
en.wikipedia.org/wiki/Lie_sphere_geometry
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We want to explore some aspects of geometry on the surface of the sphere. This is an interesting subject in itself, and it will come in handy later on when we discuss Descartes's angle-defect formula.
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www.geom.uiuc.edu/docs/doyle/mpls/handouts/node16.html
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An online calculator to calculate the surface area and volume of a Sphere. ... Online calculator to calculate the volume and the surface area of a sphere given its radius. ... More Online Geometry Calculators and Solvers.
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www.analyzemath.com/Geometry_calculators/volume_surface...
www.analyzemath.com/Geometry_calculators/volume_surface_sphere.html
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Britannica online encyclopedia article on sphere (mathematics), 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. ... CREATE MY sphere NEW DOCUMENT...
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www.britannica.com/EBchecked/topic/559619/sphere
www.britannica.com/EBchecked/topic/559619/sphere
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Definition of Sphere (geometry) in the Medical Dictionary. Sphere (geometry) explanation. Information about Sphere (geometry) in Free online English dictionary. What is Sphere (geometry)? Meaning of Sphere (geometry) medical term. ... (redirected from Sphere (geometry))
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medical-dictionary.thefreedictionary.com/Sphere+(geomet...
medical-dictionary.thefreedictionary.com/Sphere+(geometry)
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This book provides a modern treatment of Lie's geometry of spheres, its applications and the study of Euclidean space. It begins with Lie's construction of the space of spheres, including the fundamental notions of oriented contact, parabolic pencils of spheres and Lie sphere transformation. ... Lie Sphere Geometry:
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www.buy.com/prod/lie-sphere-geometry-with-applications-...
www.buy.com/prod/lie-sphere-geometry-with-applications-to-submanifolds/q/loc/106/205579169.html
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