band saw vs sawing machine

band saw and sawing machine both are nouns.

Word	Noun	Adjective	Verb	Adverb
band saw	Yes	No	No	No
sawing machine	Yes	No	No	No

As nouns, sawing machine is a hypernym of band saw; that is, sawing machine is a word with a broader meaning than band saw:

band saw: an endless saw consisting of a toothed metal band that is driven around two wheels
sawing machine: a power tool for cutting wood

Other hypernyms of band saw include power saw, saw.

band saw (noun)	sawing machine (noun)
an endless saw consisting of a toothed metal band that is driven around two wheels	a power tool for cutting wood