LINEAR ALGEBRA II es
NON-DEGENERATE QUADRICS
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LINEAR ALGEBRA II es |
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NON-DEGENERATE QUADRICS |
| Plane sections of an elliptic paraboloid. | |||||||||
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The canonical equation of an ellpitic parabolid
is: $\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}-z=0$ |
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| The intersection with planes parallel to the plane YZ (x=cte) will be: | |||||||||
| - a parábola. | |||||||||
| The intersection with planes parallel to the plane XZ (y=cte) will be: | |||||||||
| - a parábola. | |||||||||
| The intersection with planes parallel to the plane XY (z=cte) will be: | |||||||||
| - an ellipse, if cte>0. | - a point, if cte=0. | - empty, if cte<0. | |||||||
| Plane sections: | |||||||||
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School of Civil Engineering
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Universidade
da Coruńa |
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Academic Year 2023/2024 |
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