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Quadratic surface

  1. Nov 28, 2013 #1
    The book is showing the trace for z=0 to be a hyperbola however I see y=x and y=-x
  2. jcsd
  3. Nov 28, 2013 #2


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    hi nameVoid! :smile:

    (try using the X2 button just above the Reply box :wink:)
    what book? :confused:

    yes, Z = 0 is the crossed lines y = ±x

    the curves for all other values of Z will be hyperbolas, fitting between y = ±x
  4. Nov 28, 2013 #3


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    Also, since the lines ##y=\pm x## are the asymptotes for the family of level curves for that surface, they are sometimes considered to be degenerate hyperbolas.
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