T.1.a.i) Cylinders

Here's a cylinder:

T.1.a.ii)

This time, go with a cylinder whose top is on the plane:

And whose bottom is on the plane:

Put:

And note that:

This gives you an easy way of plotting the cockeyed cylinder
-> whose top skin runs with the plane ,
-> whose bottom skin runs with the plane and
-> whose sides run with circles of radius perpendicular to the -axis and centered on the -axis:

T.1.b) Spheres

One way to see how to plot the sphere        
       
is to slice it with the plane
        where ,
and then to think about what you get.
What you get is the circle
       
plotted in the plane .
Now, when you go with a given radius , you can plot the sphere
       .
Take a look in the case that :

T.1.c)  Tubes

Remember the main unit normal and the binormal from the lesson on perpendicularity:

Lots of folks like to call what you see above by the name "moving frame".

Remember how much fun it was to make a tube consisting of all circles of a fixed radius centered on the curve and lying in planes perpendicular to the curve: