File:Definitions for a cycloid.png

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Definitions_for_a_cycloid.png ‎(487 × 487 pixels, file size: 17 KB, MIME type: image/png)

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Summary

[edit]
Description A circle used for the definition of a cycloid. P is the point that traces the curve, A is the intersection of the circle and the line it is traveling on (in this case, the x-axis) and Q is the center of the circle.
Date
Source Own work
Author Friðrik Bragi Dýrfjörð
Permission
(Reusing this file)		 Public Domain

Mathematica Code

[edit]
Graphics[
 {
  {Thick, Circle[{1, 1}]},
  {PointSize[Large], Red, Point[{1, 1}]}, {PointSize[Large], Red, 
   Point[{1 - Sin[1], 1 - Cos[1]}]}, {PointSize[Large], Red, 
   Point[{1, 0}]},
  {Thick, Arrow[{{1, 1}, {1 - Sin[1], 1 - Cos[1]}}]},
  {Thick, Arrow[{{1, 1}, {1, 0}}]},
  {Text[Style["Q", Large, Bold], {1.1, 1.1}]},
  {Text[Style["P", Large, Bold], {0.2, 0.7}]},
  {Text[Style["A", Large, Bold], {1.1, 0.1}]},
  {Text[Style["\[Angle]\[Theta]", Large, Bold], {0.9, 0.8}]}
  
  }, Axes -> True]

Licensing

[edit]
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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Date/TimeThumbnailDimensionsUserComment
current03:05, 8 March 2008Thumbnail for version as of 03:05, 8 March 2008487 × 487 (17 KB)Friðrik Bragi Dýrfjörð (talk | contribs){{Information |Description=A circle used for the definiton of a cycloid. P is the point that traces the curve, A is the intersection of the circle and the line it is traveling on (in this case, the x-axis) and Q is the center of the circle. |Source=self-m

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