When is simple machine is composed of an inclined plane into a spiral?

Answer 1

Perhaps your question refers to a wood or sheet-metal (or similar, threading/imbedding) screw. . . in that:

• The thread constitutes an inclined plane (once the mating material into which said screw is driven is also "threaded," the then "mating" planes, one fixed, one moving, slide along each other when screw is turned); and
• That plane is constantly changing along its length, following the path of a spiral, which is defined as (what would be a helix but for the fact that follows a path that is) a line which, beginning at some distance (diameter) from an axis line, then conforms to a path that moves along and revolves about that axis in such a manner that said diameter distance constantly diminishes until it reaches zero, or thereabout.

By way of contrast, a non-thread-cutting" screw (of a type commonly referred to as bolt . . . that requires either a nut or pre-tapped material to perform its function) would (also) utilize a (inclined plane) thread; however the tread would not describe a spiral but, rather, a helix.

Please note that when in active use (i.e., when driven) a screw would constitute a compound machine comprising inclined plane and lever (i.e., the slot/socket and driver tool).