Axes Command

Axes( <Conic> )

Returns the equations of the major and minor axes of a conic section.

See also MajorAxis and MinorAxis commands.
Axes( <Quadric> )

Creates the 3 axes of the given quadric.

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)

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.