24 Feb
2009
24 Feb
'09
6:13 p.m.
On Tue, Feb 24, 2009 at 12:37 PM, Mathias Gaunard <mathias.gaunard@ens-lyon.org> wrote:
Shapes, volumes, etc. are sets of points. Various sets have a null area. This is perfectly valid and is not a logic error.
Points (a point is just a set of points which one element) and lines have zero area, this is common knowledge. This is even stated in the definition on "area" on wikipedia, for example.
http://mathworld.wolfram.com/Area.html says: "Area - The area of a surface or lamina is the amount of material needed to "cover" it completely. The area of a surface or collection of surfaces bounding a solid is called, not surprisingly, the surface area." which seems to restrict "area" to a surface or lamina. --Michael Fawcett