- To: mathgroup at smc.vnet.net
- Subject: [mg87828] Re: PolarPlot
- From: Helen Read <read at math.uvm.edu>
- Date: Fri, 18 Apr 2008 02:39:29 -0400 (EDT)
- References: <email@example.com> <firstname.lastname@example.org> <email@example.com> <firstname.lastname@example.org>
> Hi Helen,
>> just saw your reply. A coordinate system as you propose would assign
>> more than one coordinate tuple to any point. Although I can see
>> aplications in graphics (cycloids...), I do not think that this makes
>> life easier for calculations. There are enough problems with unique
>> maps, no need to make artificial ones.
I am not proposing anything. If you consult any calculus textbook, you
will see that defining r as a directed distance (which may be negative)
And as for non-unique coordinates, this would be the case for polar
coordinates even if we only allowed non-negative r, since you can always
add or subtract any multiple of 2Pi from the angle.
University of Vermont
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