Re: sphere coordinates ,

how about in tripolar coordinates?

there's a cute problem that goes with spherical coordination:
find a path that goes one mile south, one mile west, and
one mile north, which is Hamiltonian (sik).

there are acutally two solutions!

> > IF you have the point (0, 0, 1) in rectangular coords. What is theta in
> > spherical coords?
> >
> > My book gives TAN(theta) = y/x, but y/x is undefined in this case.
> >
> >
>
> North pole is a singularity of the coordinate system...
> What is your longitude when you are at the north pole?
>
> Similar problem is asking what is theta at the origin in polar
> coordinates.

--Hemp for Haemarrhoids (Bogart that poultice) !!
http://members.tripod.com/~american_almanac

.

Relevant Pages

  • Re: sphere coordinates ,
    ... > there's a cute problem that goes with spherical coordination: ... newsgroup, you can find out by only reading the other newsgroup. ... >> North pole is a singularity of the coordinate system... ...
    (sci.math)
  • Re: totally OT: NWSE
    ... >> necessarily the North Pole. ... >longitude where going one mile east will ... >be walking a complete circle, ... but a circle with a line... ...
    (microsoft.public.fox.programmer.exchange)
  • Re: analytical Skill for Java Development
    ... This would imply that you are able, one mile from the north pole, to travel around the world in less than one mile. ...
    (comp.lang.java.programmer)
  • Re: alt.math.recreational, alt.math, sci.math
    ... One mile above the north pole? ... Of course the direction "North" has no meaning when you are at ... about the geographic pole vs. the magnetic pole. ...
    (sci.math)
  • Re: alt.math.recreational, alt.math, sci.math
    ... One mile above the north pole? ... More likely below it (by falling through the ice). ...
    (sci.math)
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