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Table 4 Lengths L (on curve) corresponding with the values of X

From: A new, simple and accurate transition curve type, for use in road and railway alignment design

Projection

Clothoid

Cubic Parabola

SPTC (10 terms)

SPTC (4 terms)

SPTC (3 terms)

X(m)

L(m)

L(m)

L(m)

L(m)

L(m)

100

100.000

100.000

100.000

100.000

100.000

200

200.008

200.008

200.008

200.008

200.008

300

300.061

300.061

300.061

300.061

300.061

400

400.257

400.256

400.257

400.257

400.257

500

500.787

500.781

500.786

500.786

500.786

600

601.973

601.944

601.971

601.971

601.970

700

704.321

704.202

704.311

704.310

704.307

800

808.599

808.192

808.564

808.562

808.542

900

915.990

914.762

915.879

915.867

915.771

1000

1028.386

1025.000

1028.057

1027.980

1027.604