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Show that the radius of curvature r (t) = (cost, Sint, t) of the Helix curve (coil spring) is constant. Is it the same as

Show that the radius of curvature r (t) = (cost, Sint, t) of the Helix curve (coil spring) is constant. Is it the same as the radius of curvature of the xy plane projection (= unit circle) of the curve?

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