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SPIRAL OF THE HYPERBOLIC TANGENT
Polar equation: .
For k = 1/2:
Curvilinear abscissa: . Radius of curvature: . |
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Spiral with an
asymptotic circle with the above equation (animation in the header for
k ranging from 0 to 3).
This curve is the projection on xOy of the spherical curve: . |
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SPIRAL OF THE HYPERBOLIC COTANGENT
Polar equation: .
For k = 1/2:
Radius of curvature: . |
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Cf. the Poinsot spiral.
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© Robert FERRÉOL 2017