axe vs edge tool

axe and edge tool both are nouns.

Word	Noun	Adjective	Verb	Adverb
axe	Yes	No	Yes	No
edge tool	Yes	No	No	No

As nouns, edge tool is a hypernym of axe; that is, edge tool is a word with a broader meaning than axe:

axe: an edge tool with a heavy bladed head mounted across a handle
edge tool: any cutting tool with a sharp cutting edge (as a chisel or knife or plane or gouge)

axe (noun)	edge tool (noun)
an edge tool with a heavy bladed head mounted across a handle	any cutting tool with a sharp cutting edge (as a chisel or knife or plane or gouge)

axe (verb)	edge tool (verb)
terminate
chop or split with an ax