Difference between revisions of "Axes Command"

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<noinclude>{{Manual Page}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|conic}}
; Axes[Conic]: Returns the major and minor axes of a conic section.
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; Axes( <Conic> ): Returns the equations of the major and minor axes of a conic section.
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:{{Note|1=See also [[MajorAxis Command|MajorAxis]] and [[MinorAxis Command|MinorAxis]] commands.}}
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;Axes( <Quadric> )
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:Creates the 3 axes of the given quadric.
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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)}}
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:{{notes|1=Specifically:
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:* if the given quadric is a ''cylinder'', the command yields the two axes of the bottom circle and the rotation axis.
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:* if the given quadric is a ''sphere'', the command yields the three axes parallel to the coordinate system axes.}}

Latest revision as of 15:26, 4 October 2017


Axes( <Conic> )
Returns the equations of the major and minor axes of a conic section.
Note: See also MajorAxis and MinorAxis commands.
Axes( <Quadric> )
Creates the 3 axes of the given quadric.
Example:
Axes(x^2 + y^2 + z^2= 3) returns the three lines
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: 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.
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