Difference between revisions of "Axes Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|conic}}
{{command|conic}}
 
 
; Axes[ <Conic> ]: Returns the equations of the major and minor axes of a conic section.
 
; Axes[ <Conic> ]: Returns the equations of the major and minor axes of a conic section.
  
 
:{{Note|1=See also [[MajorAxis Command|MajorAxis]] and [[MinorAxis Command|MinorAxis]] commands.}}
 
:{{Note|1=See also [[MajorAxis Command|MajorAxis]] and [[MinorAxis Command|MinorAxis]] commands.}}
 
  
 
;Axes[ <Quadric> ]
 
;Axes[ <Quadric> ]
 
:Creates the 3 axes of the given quadric.  
 
:Creates the 3 axes of the given quadric.  
 
:{{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 10:41, 26 August 2015


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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