Toroid Washer (see edit below)
A surface of revolution obtained by rotating a closed plane curve about an axis parallel to the plane which does not intersect the curve. The simplest toroid is the torus. The word is also used to refer to a toroidal polyhedron (Gardner 1975).
Gardner, M. "Mathematical Games: On the Remarkable Császár Polyhedron and Its Applications in Problem Solving." Sci. Amer. 232, 102-107, May 1975.
The mathworld.wolfram description of a toroid specifically states that the axis of rotation does not intersect the shape being rotated, but on the mathworld.wolfram page describing a specific case of a toroid, called a torus, three types of tori are described:
- The axis of rotation for a ring torus does not intersect the rotated circle.
- The axis of rotation for a horn torus lies tangent to the rotated circle.
- The axis of rotation for a spindle torus intersects the rotated circle.
(All images in this post come from the Wikimedia commons and have been released into the public domain.)
Based on the comment by @dannysauer: "Given that you're trying to describe a specific kind of toroid, adding an adjective to the base "toroid" seems quite reasonable." I assume that in this case square toroid or rectangular toroid would be the terms being meant.
Like others, I'm not completely satisfied with the generic term toroid to describe the shape of a Compact Disk, since it covers so many other related shapes. Here are some other terms that may be more suitable:
A search on Google for the quoted text "axially bored cylinder" only returns eight results, mostly from patent descriptions. While descriptive and accurate, it's not common enough to be used in most applications.
The term cylindrical shell is much more common, especially among calculus aficionados, but like "axially bored cylinder" this term more accurately describes a tube than a disk with a hole through the middle. A cylindrical shell is a rectangular toroid where the height of the rotated rectangle is larger than its width.
A last term, that is also very common among the calculus folk, is one that appeared in the first few words of the original question. A washer is a rectangular toroid where the width of the rotated rectangle is larger than its height. This page on mathdemos.org has a number of great illustrations of "washers".