File:HyperbolicAnimation.gif
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HyperbolicAnimation.gif (489 × 443 pixels, file size: 1.09 MB, MIME type: image/gif, looped, 81 frames, 5.7 s)
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Summary
| Description |
English: Animated plot of the trigonometric (circular) and hyperbolic functions.
In red, curve of equation x² + y² = 1 (unit circle), and in blue, x² - y² = 1 (equilateral hyperbola), with the points (cos(θ),sin(θ)) and (1,tan(θ)) in red and (cosh(θ),sinh(θ)) and (1,tanh(θ)) in blue.
Français : Diagramme animé des fonctions trigonométriques usuelles et des fonctions hyperboliques
En rouge, la courbe d'équation x² + y² = 1 (le cercle unité), et en bleu celle d'équation, x² - y² = 1 (l'hyperbole équilaterale), avec les points points (cos(θ),sin(θ)) et (1,tan(θ)) représentés en rouge, ainsi que (cosh(θ),sinh(θ)) et (1,tanh(θ)) représenté en bleu. |
| Date | 10 November 2006 (original upload date) |
| Source | Own work ; |
| Author | Sam Derbyshire at English Wikipedia |
Licensing
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation Licence, 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 licence is included in the section entitled GNU Free Documentation Licence. |
  
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This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported licence. | |
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| This licensing tag was added to this file as part of the GFDL licensing update. |
Sam Derbyshire from en.wikipedia.org, the copyright holder of this work, hereby publishes it under the following licence:
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation Licence, 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 licence is included in the section entitled GNU Free Documentation Licence. Subject to disclaimers. |
Original upload log
The original description page was here. All following user names refer to en.wikipedia.
- 2006-11-10 22:28 Sam Derbyshire 489×443×7 (1142785 bytes) Animated plot of the trigonometric (circular) and hyperbolic functions. In red, curve of equation x² + y² = 1 (unit circle), and in blue, x² - y² = 1 (equilateral hyperbola), with the points (cos(θ),sin(θ)) and (1,tan(θ)) in red and (cosh(θ),sinh(
for red points,(1,tan∅)have the unlimited Y value; while (1,tanh∅)'s maximal y vlue is 1.That's what you see in this animated graph.
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 21:52, 2 May 2008 | | 489 × 443 (1.09 MB) | wikimediacommons>File Upload Bot (Magnus Manske) | {{BotMoveToCommons|en.wikipedia}} {{Information |Description={{en|Animated plot of the trigonometric (circular) and hyperbolic functions. In red, curve of equation x² + y² = 1 (unit circle), and in blue, x² - y² = 1 (equilateral hyperbola), w |
File usage
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