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| From | "F. Russell" <fr@random.info> |
|---|---|
| Newsgroups | sci.math |
| Subject | Re: Example of Non-Orthogonal Coordinates |
| Date | 2018-06-28 18:10 +0000 |
| Organization | NewsGuy.com |
| Message-ID | <ph38ae01bdb@news2.newsguy.com> (permalink) |
| References | (1 earlier) <297ebd44-e77d-4742-9dac-01810b72342b@googlegroups.com> <ph341b01vbu@news1.newsguy.com> <c3795c6f-d2fc-44b4-9a91-d3b2bedefa3d@googlegroups.com> <971eb177-974a-46a2-9ade-c014cc2eaf65@googlegroups.com> <a4c3ab85-8559-4feb-871e-654af0c7607e@googlegroups.com> |
On Thu, 28 Jun 2018 10:49:27 -0700, bursejan wrote: > Are these coordinates orthogonal. > I am too lazy to figure it out: > https://en.wikipedia.org/wiki/Hyperbolic_coordinates > Hyperbolic coordinates, as described by the relation: x = cos(u)*cos(v)*cos(phi) y = cos(u)*cos(v)*sin(phi) z = sinh(u)*sin(v) are orthogonal. The calculation of the metric tensor shows this.
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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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