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Example of Non-Orthogonal Coordinates

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Orthogonal coordinate systems are the most common
because they are easy to use.  Wikipedia has a list
of orthogonal coordinate systems:

https://en.wikipedia.org/wiki/Orthogonal_coordinates

I need some examples of non-orthogonal coordinate systems.
The reason is that ALL textbooks present non-orthogonal
systems in a totally general way and I want to practice on some
actual examples rather than dry generalized systems.

Can anyone provide an example or examples of non-orthogonal
coordinate systems?  By an example I mean the actual functions
that relate the Cartesian variables (x, y, z) to the
non-orthogonal coordinates (q1, q2, q3): x=f1(q1, q2, q3),
y=f2(q1, q2, q3), z=f3(q1, q2, q3) or the inverse relations.

I have searched and searched but can find no examples of
non-orthogonal coordinates.  Skew coordinates are non-orthogonal
but I am looking for more complicated examples.

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Example of Non-Orthogonal Coordinates "F. Russell" <fr@random.info> - 2018-06-28 15:37 +0000
  Re: Example of Non-Orthogonal Coordinates "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-28 09:45 -0700
    Re: Example of Non-Orthogonal Coordinates "F. Russell" <fr@random.info> - 2018-06-28 16:57 +0000
      Re: Example of Non-Orthogonal Coordinates konyberg <konyberg@online.no> - 2018-06-28 10:27 -0700
        Re: Example of Non-Orthogonal Coordinates "F. Russell" <fr@random.info> - 2018-06-28 17:41 +0000
          Re: Example of Non-Orthogonal Coordinates konyberg <konyberg@online.no> - 2018-06-28 11:14 -0700
        Re: Example of Non-Orthogonal Coordinates "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-28 10:42 -0700
          Re: Example of Non-Orthogonal Coordinates bursejan@gmail.com - 2018-06-28 10:49 -0700
            Re: Example of Non-Orthogonal Coordinates "F. Russell" <fr@random.info> - 2018-06-28 18:10 +0000
            Re: Example of Non-Orthogonal Coordinates bursejan@gmail.com - 2018-06-28 11:12 -0700
              Re: Example of Non-Orthogonal Coordinates "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-28 12:09 -0700
                Re: Example of Non-Orthogonal Coordinates "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-28 14:05 -0700
            Re: Example of Non-Orthogonal Coordinates "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-28 11:14 -0700
      Re: Example of Non-Orthogonal Coordinates "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-28 10:28 -0700
  Re: Example of Non-Orthogonal Coordinates FredJeffries <fredjeffries@gmail.com> - 2018-06-29 06:20 -0700
  Re: Example of Non-Orthogonal Coordinates Steven Carlip <carlip@physics.ucdavis.edu> - 2018-06-29 14:06 -0700

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