Excerpt from The Transition Curve, or Curve of Adjustment: By the Method of Rectangular Co-Ordinates and by Deflection Angles; (Polar Co-Ordinates); Based on the French of M. Nordling, With Additional Problems

That of joining a tangent with a curve is a special case where one of the radii becomes infinitely great. Some of the recent spirals, adopted as curves of adjust ment in railroad location, easily develop from the equations of the cubic parabola by making the proper substitutions in them.

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