find the pole of a given plane with respect to a given sphere
pole(A, p, s)
the name of the pole
The pole of a plane p with respect to a sphere is defined to be the point whose polar is the given plane p.
For a detailed description of the pole of A, use the routine detail.
The command with(geom3d,pole) allows the use of the abbreviated form of this command.
Obtain the coordinates of the poles of the planes 2⁢x+2⁢y−3⁢z+7=0, 4⁢x+z−3=0, and 5⁢x−y+3⁢z−8=0 with respect to the sphere x2+y2+z2−4⁢x+2⁢y−2⁢z=0, and show that they are collinear.
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