File:Sangaku Circles.JPG

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Original file (762 × 711 pixels, file size: 27 KB, MIME type: image/jpeg)

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Summary

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Description A sangaku puzzle in which three circles share a tangent and the outer two large circles touch while a small circle just fits between them. Given the radii of the large circles are r_left=36 and r_right=9, the radius of the small circle must conform to 1/sqroot(r_middle)=1/sqroot(r_left)+1/sqroot(r_right). In this case, 1/sqroot(4)=1/sqroot(36)+1/sqroot(9), or 1/2=1/6+1/3.
Date 6 December 2007 (original upload date)
Source Transferred from en.wikipedia
Author Original uploader was Tibbets74 at en.wikipedia
Permission
(Reusing this file)
Licensed under the GFDL by the author; Released under the GNU Free Documentation License.
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Sangaku three circles.svg

Licensing

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Tibbets74 at the English-language Wikipedia, the copyright holder of this work, hereby publishes it under the following license:
GNU head 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.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
Attribution: Tibbets74
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.
This licensing tag was added to this file as part of the GFDL licensing update.

Original upload log

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The original description page was here. All following user names refer to en.wikipedia.
  • 2007-12-06 02:17 Tibbets74 762×711×8 (27382 bytes) A sangaku puzzle in which three circles share a tangent and the outer two large circles touch while a small circle just fits between them. Given the radii of the large circles are r_left=36 and r_right=9, the radius of the small circle must conform to 1/s

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current18:35, 3 February 2008Thumbnail for version as of 18:35, 3 February 2008762 × 711 (27 KB)Arthena (talk | contribs){{Information |Description={{en|A sangaku puzzle in which three circles share a tangent and the outer two large circles touch while a small circle just fits between them. Given the radii of the large circles are r_left=36 and r_right=9, the radius of the

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