Re: [boost] [geometry] area, length, centroid, behavior

Subject: Re: [boost] [geometry] area, length, centroid, behavior
From: Michael Fawcett (michael.fawcett_at_[hidden])
Date: 2009-02-24 13:13:51

On Tue, Feb 24, 2009 at 12:37 PM, Mathias Gaunard
<mathias.gaunard_at_[hidden]> 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