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is a shell bounded by two concentric, similar
Two geometrical objects are called similar if they both have the same shape. More precisely, either one is congruent to the result of a uniform scaling of the other...
In geometry, an ellipse is a plane curve that results from the intersection of a cone by a plane in a way that produces a closed curve. Circles are special cases of ellipses, obtained when the cutting plane is orthogonal to the cone's axis...
s (2D) or ellipsoid
When the thickness of the shell becomes negligible, it is called a thin homoeoid
If the outer shell is given by
the inner shell is given for
The thin homoeoid
is then given by the limit
A homoeoid can be used as a construction element of a matter or charge distribution. The gravitational or electromagnetic potential
*In linguistics, the potential mood*The mathematical study of potentials is known as potential theory; it is the study of harmonic functions on manifolds...
of a homoeoid homogeneously filled with matter or charge is constant inside the shell. This means that a test mass or charge will not feel any force inside the shell.