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- Created 2012-03-12
of a solid object is the total area of the object's faces and curved surfaces. The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of
of one-dimensional curves, or of the surface area for
(i.e., objects with flat polygonal
), for which the surface area is the sum of the areas of its faces. Smooth surfaces, such as a
, are assigned surface area using their representation as
s. This definition of surface area is based on methods of
A general definition of surface area was sought by
at the turn of the twentieth century. Their work led to the development of
geometric measure theory
, which studies various notions of surface area for irregular objects of any dimension. An important example is the
of a surface.
from Wikipedia (last updated: 10 December), licensed under
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