File:Apollonius problem animation smaller.gif
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Apollonius_problem_animation_smaller.gif (280 × 225 pixels, file size: 328 KB, MIME type: image/gif, looped, 94 frames, 26 s)
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This is a file from the Wikimedia Commons |
Summary
| Description | Animation of the solution to Apollonius' problem using the method of inversion. The original three circles (red, green and blue) are first expanded by the same amount ε until two of them (the red and the blue) touch. A grey circle of inversion is centered on their point of tengency, such that it intersects both the red and blue circles in two points. Upon inversion, the red and blue circles become parallel red and blue lines, whereas the green circle becomes another circle. There are several positions at which a yellow circle can be tangent to the two lines and to the new green circle. Upon re-inversion and shrinking its radius by ε, these yellow circles should be tangent to all three of the original three circles. |
| Date | |
| Source | Own work |
| Author | WillowW |
This animation was created with Blender by GIF.
Licensing
I, the copyright holder of this work, hereby publish it under the following licenses:
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 18:38, 7 January 2009 | | 280 × 225 (328 KB) | Hk kng | Size optimization |
| 19:08, 29 January 2008 |  | 280 × 225 (3 MB) | WillowW | {{Information |Description=Animation of the solution to Apollonius' problem using the method of inversion. The original three circles (red, green and blue) are first expanded by the same amount ε until two of them (the red and the blue) touch. A grey c |
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