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File:Easement curve.svg

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Original file (SVG file, nominally 575 × 321 pixels, file size: 2 KB)

Summary

 
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.

Sage source code: 

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)
Русский: Пример переходной кривой (красная) между прямой линией (синяя) и круговой кривой (зелёная).
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This is a retouched picture, which means that it has been digitally altered from its original version. Modifications: Vectorized. The original can be viewed here: Easement Curve.png: .

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
You are free:
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Original upload log

This image is a derivative work of the following images:

  • File:Easement_Curve.png licensed with Cc-by-3.0
    • 2009-08-15T11:58:48Z Ling Kah Jai 600x326 (9782 Bytes) color change
    • 2009-08-15T11:17:32Z Ling Kah Jai 600x326 (9792 Bytes) {{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. Ho

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inception

9 January 2012

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Date/TimeThumbnailDimensionsUserComment
current23:26, 15 May 2017Thumbnail for version as of 23:26, 15 May 2017575 × 321 (2 KB)Dingens5fix white background (sorry, didn't spot that locally in firefox)
23:20, 15 May 2017Thumbnail for version as of 23:20, 15 May 2017575 × 321 (2 KB)Dingens5code cleanup (no visible changes)
23:13, 15 May 2017Thumbnail for version as of 23:13, 15 May 2017575 × 321 (3 KB)Dingens5make lines a little thicker for better visibility at small scales
00:27, 9 January 2012Thumbnail for version as of 00:27, 9 January 2012575 × 321 (3 KB)InverseHypercube== {{int:filedesc}} == {{Created with Sage}} {{Information |Description={{en|1=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 easem

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