Normal spherical image of x

  • Thread starter drc4rd1n
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  • #1
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Helo..i have a problem about geometry..
How to show that the normal spherical image of x is never constant?
 

Answers and Replies

  • #2
what is normal image of a point??
please explain
 
  • #3
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what is normal image of a point??
please explain
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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