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Homework Help: Curve of intersection between surfaces

  1. Oct 4, 2005 #1
    I looked through some books and couldn't find how to find curves of intersection between surfaces.

    My question asks: explain why the curvature between surfaces z=x^2 and x^2+y^2=4 is the same of intersection between the surfaces z=4-y^2 and x^2+y^2=4.

    please help i feel really dumb right now. lol.
  2. jcsd
  3. Oct 5, 2005 #2


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    The two surfaces are both the same potato chip shaped surface. Try breaking the problem into two parts.

    (a) Is the surface defined by z=y^2 intersected with x^2+y^2=4 the same as the surfaced defined by z=x^2 intersected with x^2+y^2=4?

    (b) Is the surface defined by z=x^2+4 and x^2+y^2=4 the same as the surfaced defined by z=x^2 and x^2+y^2=4?

    The answer to both questions is yes. Why?

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