Difference between revisions of "Paraboloid"
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(Created page with 'A paraboloid is a three-dimensional shape that has two terms of x, y, or z that are squared and one term of x, y, or z that is not. Examples of equations that describe paraboloid...') |
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| − | A paraboloid is a three-dimensional shape that has two terms of x, y, or z that are squared and one term of x, y, or z that is not. Examples of equations that describe paraboloids are: | + | A '''paraboloid''' is a [[three-dimensional]] shape that has two terms of x, y, or z that are squared and one term of x, y, or z that is not. Examples of equations that describe paraboloids are: |
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| − | <br>or az<sup>2</sup> - by<sup>2</sup> = x | + | ax<sup>2</sup> + by<sup>2</sup> = z |
| − | + | <br />or az<sup>2</sup> - by<sup>2</sup> = x | |
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| + | When both squared terms are positive, like in the first equation, the paraboloid is an [[Ellipse|elliptical]] paraboloid (shaped like a roundish, eggish blob). | ||
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| + | When one squared term is negative and one is positive, like in the second equation, the paraboloid is a [[Hyperbola|hyperbolic]] paraboloid (shaped like a saddle). | ||
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| + | [[Category:Geometry]] | ||
Latest revision as of 05:34, February 2, 2010
A paraboloid is a three-dimensional shape that has two terms of x, y, or z that are squared and one term of x, y, or z that is not. Examples of equations that describe paraboloids are:
ax2 + by2 = z
or az2 - by2 = x
When both squared terms are positive, like in the first equation, the paraboloid is an elliptical paraboloid (shaped like a roundish, eggish blob).
When one squared term is negative and one is positive, like in the second equation, the paraboloid is a hyperbolic paraboloid (shaped like a saddle).
