Pronunciation: /sfɪər/ ?
|Figure 1: Sphere||
A sphere is all points a given distance from a central point in
space. The distance of the surface of the sphere from the center is called the
|Equation of a sphere with the center at (0,0,0)||x2 + y2 + z2 = r2|
|Equation of a sphere with the center at (x0,y0,z0)||(x - x0)2 + (y - y0)2 + (z - z0)2 = r2|
|Volume of a sphere||v = 4/3 π r3|
|Surface Area of a sphere||s = 4 π r2|
|Table 1: Equations and formulas for spheres|
of a sphere in
is called a hypersphere. The equation for a
four-dimensional hypersphere is
(w - w0)2 + (x - x0)2 + (y - y0)2 + (z - z0)2 = r2.
A 2 dimensional sphere is called a
|Figure 2: Sphere showing a great circle and a small circle.||
A great circle is a
on a sphere with the same diameter as the sphere. Circles on a sphere that
are not great circles are called small circles. For more
information see Great Circle.
|Figure 3: Hemisphere||
A hemisphere is exactly half of a sphere. A hemisphere can
be created using any plane that
a diameter of the circle.
- Stöcker, K.H.. The Elements of Constructive Geometry, Inductively Presented, pg 50. Translated by Noetling, William A.M, C.E.. Silver, Burdett & Company, 1897. (Accessed: 2009-12-31). http://www.archive.org/stream/elementsofconstr00noetrich#page/50/mode/1up.
- sphere. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=sphere&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
- McAdams, David. Circle. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 2009-03-12. http://www.allmathwords.org/article.aspx?lang=en&id=Circle.
Cite this article as:
Sphere. 2009-12-31. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/s/sphere.html.
2009-12-31: Added "References" (McAdams, David.
2008-12-05: Changed 'equidistant' to 'a given distance' (McAdams, David.
2008-06-07: Corrected spelling (McAdams, David.
2008-04-01: Initial version (McAdams, David.