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# 13.6 Quadric Surfaces - x 6 = 0 two lines if y = 0...

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QUADRIC SURFACES name equation in standard form x = const cross-section y = const cross-section z = const cross-section sketch plane ax + by + cz = d line line line elliptic cylinder x 2 a 2 + y 2 b 2 = 1 two lines two lines ellipse parabolic cylinder y = ax 2 one line two lines parabola sphere x 2 + y 2 + z 2 = d 2 circle circle circle ellipsoid x 2 a 2 + y 2 b 2 + z 2 c 2 = 1 ellipse ellipse ellipse elliptic paraboloid x 2 a 2 + y 2 b 2 = z c parabola parabola ellipse elliptic cone x 2 a 2 + y 2 b 2 = z 2 c 2 two lines if x = 0 hyperbola
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Unformatted text preview: x 6 = 0 two lines if y = 0 hyperbola if y 6 = 0 ellipse hyperboloid of one sheet x 2 a 2 + y 2 b 2-z 2 c 2 = 1 hyperbola hyperbola ellipse hyperboloid of two sheets x 2 a 2 + y 2 b 2-z 2 c 2 =-1 hyperbola hyperbola ellipse hyperbolic paraboloid y 2 b 2-x 2 a 2 = z c parabola parabola hyperbola...
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