Reed's poem "Naming of Parts" makes use of a time-honored rhetorical device called amplification, in particular the use of eutrepismus: the numbering and ordering of parts under consideration. From the Greek, eutrepes, meaning "well-turning." Here's "Naming of Parts" used as an example of this locution, in a 2003 dictionary of poetic terms (Google Book Search).

Henry Peacham, in The Garden of Eloquence (1593), defines eutrepismus thusly:


Peacham also adds the following "Caution": 'It is verie behouefull to take heed that when the parte be numbred in generall, they be not forgotten in the particular prosecution: as he that promised to expound the twelve articles of the Creed, and after could remember but nine.'

So it would seem "Naming of Parts," or at least the sergeant-instructor's lesson, is also an example of a how-not-to.