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Computing Curvature in 3 space

  1. Dec 6, 2012 #1
    1. The problem statement, all variables and given/known data
    Consider the hyperboloid x2+y2-z2 = 1 at the point (1,0,0). Take the normal direction i to the surface.

    a) Compute the curvature of the circle x2+y2=1 on the hyperboloid (z=0) at the point (1,0).

    b) Compute the curvature of the hyperbola x2-z2=1 on the hyperboloid (y=0) at the point (1,0)


    2. Relevant equations
    Not sure (that's the problem)


    3. The attempt at a solution
    So I remember doing curvature in my basic calculus class, but I don't know how to apply it to curves in 3 space. If somebody could send me in the direction of an example (hopefully one that is very similar to this), or give me the equations needed to solve it, that is all I need, I will do the computations myself.
     
  2. jcsd
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