If L is the length to any point on the transition curve, and R is the radius of curvature, then the fundamental requirement of the transition curve is given by the condition: (Notation C an arbitrary constant)

1
LR = C
2
\(​\frac{L^{2}}{R}\) = C
3
\(​\frac{L^{2}}{2R}\) = C
4
\(​\frac{L}{R}\) = C

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