Brooks, Stephen wrote:
> >I would like to know the name of a line that links all points of equal
> >distance from a specific point. This is not necessarily just a circle
> >around the point if you take into consideration permeability of route
> >networks.
"Bill Huber" <[EMAIL PROTECTED]> replied:
> "Isometric curve" would be correct but I have never seen it used.
>
> The proper mathematical term really is "circle."
<snipped description>
> The terminological trick, then, is to specify what metric you mean:
> Euclidean, spherical, or network. The phrase, "circle in the network
> metric," or "network circle" for short, would be appropriate for the
> latter. This gives us three kinds of circles, respectively: (ordinary)
> circles, geodesic circles, and network circles.
Well, yes and no. As the network space is a series of lines,
a "network circle" is a collection of isolated points.
Mr. Brooks may be interested in a figure arrived at when the network
is embedded in a two-dimensional Euclidean space (i. e. it is displayed
on a map) and the network "circle" points are connected to each other
with lines across the new space. The lines do not serve any analytical
purpose; they exist for cosmetic purposes only.
HTH
Spencer
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