lathe vs shaping machine

lathe and shaping machine both are nouns.

Word	Noun	Adjective	Verb	Adverb
lathe	Yes	No	No	No
shaping machine	Yes	No	No	No

As nouns, shaping machine is a hypernym of lathe; that is, shaping machine is a word with a broader meaning than lathe:

lathe: machine tool for shaping metal or wood; the workpiece turns about a horizontal axis against a fixed tool
shaping machine: a machine tool for shaping metal or wood

Other hypernyms of lathe include shaper.

lathe (noun)	shaping machine (noun)
machine tool for shaping metal or wood; the workpiece turns about a horizontal axis against a fixed tool	a machine tool for shaping metal or wood