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13.6 Surfaces - ET 12.6 M 13.6 Surfaces Quadratic curves In...

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ET 12.6; M 13.6. Surfaces Quadratic curves. In R 2 , some quadratic equa- tions define curves. Cylinders. A cylinder in R 3 is the set of all points in all lines that are parallel to a given line and meet a given curve. Some coordinate fails to appear in the equation of the cylinder when the given line is parallel to that coordinate axis. Basic quadric surfaces. Consider quadratic equa- tions in three variables with no terms involving prod-
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