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SICI SPIRAL

Sici: initials of the Sine Integral (Si) and the Cosine Integral (Ci) (name given by [Von Seggern] in 1993 ?).
Other name: Nielsen spiral.

 
Cartesian parametrization: .
Complex parametrization: .
Curvilinear abscissa: .
Cartesian tangential angle: .
Radius of curvature: 
Intrinsic equation 1.
Transcendental curve.

The ordinate of the asymptote is equal to the value of the Dirichlet integral .
Curve very similar to the portion of hyperbolic spiral: .
Compare also to the Cornu spiral.
 
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© Robert FERRÉOL 2017