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A systematic overview of classical curve theory, including Frenet equations and their known solutions, some results on moving frames (relationship between Frenet and Bishop Frame), spherical curves and surface curves.
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| URL: |
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| Title: |
Classical Curve Theory |
| Description: |
A thesis on curve theory which explores a classical question: for
which types of curves can the Frenet equations be explicitly solved,
in other words: for which pairs of curvature κ and torsion τ functions
is the parameterization of the corresponding curve known? |
| Category: |
Frame
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Torsion
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Equations
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Surface
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Moving
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Classical
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Anton
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Solution
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Plane
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Theory
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Constant
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Spherical
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Helical
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Curve
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Precession
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Bishop
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Curvature
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Menninger
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Toni
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Kurventheorie
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Frenet
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Frenetgleichungen
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Frenetsche
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Ableitungsgleichungen
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Kruemmung
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Ebene
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Kurve
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Boeschungslinie
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Konstanter
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Praezession
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Sphaerische
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Kreisellinie
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Flaechenkurve
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