File:Easement Curve.png

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Easement_Curve.png (600 × 326 pixels, file size: 10 KB, MIME type: image/png)

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This diagram was created with SageMath.
Description
English: This is an example of a red easement (transition) curve between a blue straight line and a green circular arc. The circular arc is supposed to start at the end of the red easement curve. However, it is drawn as a full circle here.
Русский: Пример переходной кривой (красная) между прямой линией (синяя) и круговой кривой (зелёная).
Date
Source Own work
Author Ling Kah Jai

The followings are the Sage (website: http://www.sagemath.org/) codes that produce the graph:

   var('t')
   p = integral(taylor(cos(t^2),t, 0, 12), t)
   q = integral(taylor(sin(t^2),t, 0, 12), t)
   x1 = p.subs(t = 1)
   y1 = q.subs(t = 1)
   R = 0.5
   x2 = x1 - R*sin(1.0)
   y2 = y1 + R*cos(1.0)
   r1 = parametric_plot([p, q], (t, 0, 1), color = 'red')
   r2 = line([(-1.0, 0), (0,0)], rgbcolor = 'blue')
   r3 = circle((x2, y2), R, rgbcolor = 'green')
   show(r1 + r2 + r3, aspect_ratio = 1, axes=false)

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
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This file is licensed under the Creative Commons Attribution 3.0 Unported license.
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  • 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.

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Date/TimeThumbnailDimensionsUserComment
current11:58, 15 August 2009Thumbnail for version as of 11:58, 15 August 2009600 × 326 (10 KB)Ling Kah Jai~commonswiki (talk | contribs)color change
11:17, 15 August 2009Thumbnail for version as of 11:17, 15 August 2009600 × 326 (10 KB)Ling Kah Jai~commonswiki (talk | contribs){{Information |Description={{en|1=This is an example of an blue easement (transition) curve between a red straight line and a green circular arc. The circular arc is supposed to start at the end of the blue easement curve. However, it is drawn as a full c

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