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Normal spherical image of x

  1. Oct 2, 2010 #1
    Helo..i have a problem about geometry..
    How to show that the normal spherical image of x is never constant?
     
  2. jcsd
  3. Oct 2, 2010 #2
    what is normal image of a point??
    please explain
     
  4. Oct 2, 2010 #3
    all functions anda curves considered here are assumed to be of class at least C3.
    If x(s) is a regular curve parametrized by arc length s, then t:(a,b)-> R3 defined a curve on S2..

    this curve might not be regular and is called the tangent spherical image of x.
    the normal spherical image n(s) and binomial spherical image b(s) of x can also be defined.

    so, the question is how to proof that the normal spherical image of x is never constant?
     
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