File:Poincare_disc_hyperbolic_parallel_lines.svg
From Wikipedia, the free encyclopedia
Size of this PNG preview of this SVG file: 532 × 532 pixels. Other resolutions: 240 × 240 pixels | 480 × 480 pixels | 768 × 768 pixels | 1,024 × 1,024 pixels | 2,048 × 2,048 pixels.
Original file (SVG file, nominally 532 × 532 pixels, file size: 550 KB)
This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
Summary
DescriptionPoincare disc hyperbolic parallel lines.svg |
English: In the Poincaré disc model of the hyperbolic plane, lines are represented by circular arcs orthogonal to the boundary of the closure of the disc. The thin black lines meet at a common point and do not intersect the thick blue line, illustrating that in the hyperbolic plane there are infinitely many lines parallel to a given line passing through the same point.
[License: as the sole author of this image, I hereby release it into the public domain.] |
Date | 26 April 2008 (original upload date) |
Source | Transferred from en.wikipedia to Commons. |
Author | Trevorgoodchild at English Wikipedia |
Licensing
Public domainPublic domainfalsefalse |
This work has been released into the public domain by its author, Trevorgoodchild at English Wikipedia. This applies worldwide. In some countries this may not be legally possible; if so: Trevorgoodchild grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.Public domainPublic domainfalsefalse |
Original upload log
The original description page was here. All following user names refer to en.wikipedia.
Date/Time | Dimensions | User | Comment |
---|---|---|---|
2008-04-29 14:09 | 532×532× (562863 bytes) | Trevorgoodchild | Minor modification to image -- putting in white background. |
2008-04-26 22:08 | 532×532× (567425 bytes) | Trevorgoodchild | In the Poincaré disc model of the hyperbolic plane, lines are represented by circular arcs orthogonal to the boundary of the closure of the disc. The thin black lines meet at a common point and do not intersect the thick blue line, illustrating that in t |
2008-04-26 22:02 | 211×211× (565790 bytes) | Trevorgoodchild | In the Poincaré disc model of the hyperbolic plane, lines are represented by circular arcs orthogonal to the boundary of the closure of the disc. The thin black lines meet at a common point and do not intersect the thick blue line, illustrating that in |
2008-04-26 22:01 | 211×211× (565790 bytes) | Trevorgoodchild | In the Poincaré disc model of the hyperbolic plane, lines are represented by circular arcs orthogonal to the boundary of the closure of the disc. The thin black lines meet at a common point and do not intersect the thick blue line, illustrating that in |
2008-04-26 22:00 | 211×211× (566114 bytes) | Trevorgoodchild | In the Poincaré disc model of the hyperbolic plane, lines are represented by circular arcs orthogonal to the boundary of the closure of the disc. The thin black lines meet at a common point and do not intersect the thick blue line, illustrating that in |
Items portrayed in this file
depicts
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 01:49, 9 November 2014 | 532 × 532 (550 KB) | Hyacinth | Transferred from en.wikipedia |
File usage
The following pages on the English Wikipedia use this file (pages on other projects are not listed):
Global file usage
The following other wikis use this file:
- Usage on en.wikibooks.org
- Usage on en.wiktionary.org
- Usage on fi.wikipedia.org
- Usage on id.wikipedia.org
- Usage on ro.wikipedia.org
- Usage on uk.wikipedia.org
- Usage on www.wikidata.org
Metadata
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
If the file has been modified from its original state, some details may not fully reflect the modified file.
Width | 531.738 |
---|---|
Height | 531.74 |