File:Easement Curve.png

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This diagram was created with SageMath.

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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