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Unformatted text preview: yz-plane we get a similar picture, since x and y play exactly the same role in the equation. The shape we get, like a cylinder that has been squeezed in the middle, is called a hyperboloid of one sheet (Figure 3.9 ). Now, let us simply change the sign of the constant in the previous equation: x 2 + y 2 − z 2 = − 1 . The intersection with the horizontal plane z = c is a circle x 2 + y 2 = c 2 − 1...
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.
- Fall '08