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7 Cards in this Set
- Front
- Back
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x^2/a^2 + y^2/b^2 + z^2/c^2 = 1
(three positive squares) |
Ellipse
(a,b,c equal, then sphere) |
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x^2/a^2 + y^2/b^2 - z^2/c^2 = 1
(two positive, one negative) |
Hyperboloid of 1 sheet
(Symmetry about isolated variable--e.g. the negative one) |
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x^2/a^2 - y^2/b^2 - z^2/c^2 = 1
(two negatives, one positive) |
Hyperboloid of two sheets
(empty set in the plane of the two negative variables) |
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x^2/a^2 + y^2/b^2 - z^2/c^2 = 0
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Cone
(symmetry about isolated variable) |
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z=x^2/a^2 + y^2/b^2
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Paraboloid
(Opens in 1st power variable) |
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z=x^2/a^2 - y^2/b^2
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Hyperbolic paraboloid
(saddle, set three points) |
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x^2/a^2+y^2/b^2=1
missing variable |
cylinder
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