Elliptic Cylinders

This is the equation of an elliptic cylinder whose axis is the z-axis.

It is specified in implicit form.

> ellcyl:=x^2/a^2+y^2/b^2=1;

Let's check it out for a=1, and b=2

> ellcyl1:=subs({a=1,b=2},ellcyl);

>

Plot of elliptic cylinder "ellcyl1"