Difference between revisions of "Axes Command"

Revision as of 11:41, 3 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.

@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.2}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>
 {{command|conic}}
 ; Axes[ <Conic> ]: Returns the equations of the major and minor axes of a conic section.
@@ Line 8: / Line 8: @@
 ;Axes[ <Quadric> ]
 :Creates the 3 axes of the given quadric.
-:{{Example|1=<div><code>Axes[x^2 + y^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:
 :* 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.}}