More Parametrizations of SurfacesHyperboloid of one
Chapter 16, Problem 34E(choose chapter or problem)
Problem 34E
More Parametrizations of Surfaces
Hyperboloid of one sheet
a. Find a parametrization for the hyperboloid of one sheet x2 + y2 - z2 = 1 in terms of the angle associated with the
circle x2 + y2 = r 2 and the hyperbolic parameter u associated with the hyperbolic function r 2 - z2 = 1 (Hint:
b. Generalize the result in part (a) to the hyperboloid
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