Difference between revisions of "Axes Command"

Latest revision as of 16:26, 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.

@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.2}}</noinclude>
+<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 major and minor axes of a conic section.
+:{{Note|1=See also [[MajorAxis Command|MajorAxis]] and [[MinorAxis Command|MinorAxis]] commands.}}
+;Axes( <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)}}
+:{{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.}}