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Homework Help: Ask for translation

  1. Jan 21, 2012 #1
    1. The problem statement, all variables and given/known data

    This is the 1st problem in the section 1-5, do Carmo' Differential Geometry of Curves and Surfaces. It is in page 22.

    We have a parametrized curve

    [itex]\alpha (s)=(a\cos \frac{s}{c}, a\sin \frac{s}{c}[/itex],b[itex]\frac{s}{c})[/itex]

    with [itex]c^2=a^2+b^2[/itex].

    The 4th problem is to show that the lines containing [itex]n(s)[/itex] and passing through [itex]\alpha(s)[/itex] meet the [itex]z[/itex] axis under a constant angle equal to [itex]\pi /2[/itex]. What does this mean? What is the meaning of ''containing'' and ''passing through''? It sounds weird to me...

    n(s) is the normal vector of the curve.
    Last edited: Jan 21, 2012
  2. jcsd
  3. Jan 21, 2012 #2


    Staff: Mentor

    First, tell us what n(s) is.
  4. Jan 21, 2012 #3
    Oh, n(s) is the normal vector of the curve.
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