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Differential Geometry ( Work Shop for Test 1) (5) Prove that a regular curve (i.e., curve...

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Basic Math

Differential Geometry ( Work Shop for Test 1)

(5) Prove that a regular curve (i.e., curve with positivecurvature at all points) is a helix iff the ratio of the torsion tocurvature is a constant. please use Differential Geometry Form notCalculus.

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Let tatbt2ct3 tatbt2ct3 is a helix 4b29a2c24b29a2c2 I think must be constant that is torsion to the curvature is constant so lets prove that tatbt2ct3 is a regular curve Helices are defined by requiring that the unit tangent makes a constant angle with a fixed line in space It is possible to prove that    See Answer
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