File:Spherical arc.svg
Jump to navigation
Jump to search
Size of this PNG preview of this SVG file: 498 × 488 pixels. Other resolutions: 245 × 240 pixels | 490 × 480 pixels | 784 × 768 pixels | 1,045 × 1,024 pixels | 2,090 × 2,048 pixels.
Original file (SVG file, nominally 498 × 488 pixels, file size: 5 KB)
Captions
Captions
2-dimensional slice of 3D spherical space embedded in E^4 showing a green straight line between two points
Summary[edit]
| Description |
English: The length of a geodesic in spherical space S^3 is straightforward to calculate if S^3 is embedded in R^4. This is useful for FLRW cosmology. |
| Date | |
| Source | Own work; This image and Fig. 1 of Mon.Not.Roy.Astron.Soc. 325 (2001) 138; doi:10.1046/j.1365-8711.2001.04392.x are both derivatives of the same original source code by me. |
| Author | Boud |
Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
xfig source code[edit]
The .svg version of the file is produced by
- the following .fig source code,
- several command line options: xfig -specialtext -latexfonts -startlatexFont default FILENAME.fig, and
- exporting to .svg format.
#FIG 3.2 Produced by xfig version 3.2.6a
Landscape
Center
Metric
A4
100.00
Single
-2
1200 2
5 1 0 12 12 7 0 0 -1 0.000 0 0 0 0 3689.260 4904.155 3615 2625 4710 2865 5610 3675
6 4709 2400 5250 2860
4 0 0 0 0 32 24 5.7596 4 285 210 4967 2770 q\001
4 0 0 100 0 0 24 5.7596 4 270 270 4709 2621 R\001
-6
1 3 0 1 7 7 100 0 -1 0.000 1 0.0000 585 7920 64 64 585 7920 630 7965
1 3 0 1 7 7 100 0 -1 0.000 1 0.0000 6570 1980 64 64 6570 1980 6615 2025
1 3 0 3 0 7 100 0 -1 0.000 1 0.0000 3615 4997 2390 2390 3615 4997 5205 6782
2 1 0 3 0 7 100 0 -1 0.000 0 0 -1 0 0 2
855 4980 6330 4980
2 1 0 3 0 7 100 0 -1 0.000 0 0 -1 0 0 2
3615 2250 3615 7665
2 1 0 3 0 7 100 0 -1 0.000 0 0 -1 0 0 2
3630 4995 5595 3675
2 1 0 2 0 7 0 0 -1 0.000 0 0 -1 0 0 2
3930 2272 4005 2190
2 1 0 2 0 7 0 0 -1 0.000 0 0 -1 0 0 2
5919 3429 5994 3347
2 1 2 3 0 7 0 0 -1 6.000 0 0 -1 0 0 2
5610 3705 3600 3705
2 1 0 2 0 7 0 0 -1 0.000 0 0 -1 0 0 2
3428 3662 3503 3580
2 1 2 3 0 7 0 0 -1 6.000 0 0 -1 0 0 2
5610 3720 5610 4980
2 1 0 2 0 7 0 0 -1 0.000 0 0 -1 0 0 2
5677 5198 5752 5116
4 0 0 100 0 2 24 0.0000 4 195 210 5730 3600 a\001
4 0 0 100 0 0 24 0.0000 4 270 405 750 5400 -R\001
4 0 0 100 0 2 24 0.0000 4 195 210 3735 2430 a\001
4 0 0 100 0 0 24 0.0000 4 270 270 3195 2520 R\001
4 0 0 100 0 0 18 0.0000 4 195 135 3915 2527 1\001
4 0 0 100 0 0 18 0.0000 4 195 135 5933 3712 2\001
4 0 0 0 0 0 24 0.0000 4 180 525 2963 3803 =w\001
4 0 0 100 0 0 18 0.0000 4 195 135 3376 3952 2\001
4 0 0 100 0 0 18 0.0000 4 195 135 5679 5460 2\001
4 0 0 100 0 0 24 0.0000 4 270 390 3435 2085 W\001
4 0 0 100 0 0 24 0.0000 4 270 405 3715 7735 -R\001
4 0 0 100 0 0 24 0.0000 4 270 270 6100 5445 R\001
4 0 0 100 0 0 24 0.0000 4 270 300 6495 5130 X\001
4 0 0 0 0 0 24 0.0000 4 180 540 5205 5332 = x\001
4 0 0 0 0 32 24 0.0000 4 285 210 4920 5380 q\001
4 0 0 0 0 0 24 0.0000 4 270 870 4049 5370 R sin\001
4 0 0 0 0 32 24 0.0000 4 285 210 2695 3820 q\001
4 0 0 0 0 0 24 0.0000 4 270 930 1732 3830 R cos\001
4 0 0 0 0 32 24 5.9167 4 285 210 3714 4618 q\001
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 23:53, 29 September 2020 | | 498 × 488 (5 KB) | Boud (talk | contribs) | Uploaded own work with UploadWizard |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
