Difference between revisions of "Axes Command"
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:{{Example|1=<div><code>Axes[x^2 + y^2 + z^2= 3]</code> returns the three lines</div> ''a'': ''X'' = (0, 0, 0) + ''λ'' (1, 0, 0), ''b'': ''X'' = (0, 0, 0) + ''λ'' (0, 1, 0) and ''c'': ''X'' = (0, 0, 0) + ''λ'' (0, 0, 1)}} | :{{Example|1=<div><code>Axes[x^2 + y^2 + z^2= 3]</code> returns the three lines</div> ''a'': ''X'' = (0, 0, 0) + ''λ'' (1, 0, 0), ''b'': ''X'' = (0, 0, 0) + ''λ'' (0, 1, 0) and ''c'': ''X'' = (0, 0, 0) + ''λ'' (0, 0, 1)}} | ||
:{{notes|1=Specifically: | :{{notes|1=Specifically: | ||
− | :* if the given quadric is a ''cylinder'', the command yields the two axes of the bottom circle and the rotation axis | + | :* if the given quadric is a ''cylinder'', the command yields the two axes of the bottom circle and the rotation axis. |
:* if the given quadric is a ''sphere'', the command yields the three axes parallel to the coordinate system axes.}} | :* if the given quadric is a ''sphere'', the command yields the three axes parallel to the coordinate system axes.}} |
Revision as of 10:43, 26 August 2015
- Axes[ <Conic> ]
- Returns the equations of the major and minor axes of a conic section.
- Axes[ <Quadric> ]
- Creates the 3 axes of the given quadric.
- Example:a: X = (0, 0, 0) + λ (1, 0, 0), b: X = (0, 0, 0) + λ (0, 1, 0) and c: X = (0, 0, 0) + λ (0, 0, 1)
Axes[x^2 + y^2 + z^2= 3]
returns the three lines
- Notes: Specifically:
- if the given quadric is a cylinder, the command yields the two axes of the bottom circle and the rotation axis.
- if the given quadric is a sphere, the command yields the three axes parallel to the coordinate system axes.