hand ax vs edge tool

hand ax and edge tool both are nouns.

Word	Noun	Adjective	Verb	Adverb
hand ax	Yes	No	No	No
edge tool	Yes	No	No	No

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

hand ax: a stone tool with a cutting edge; the stone is held in the hand and used for chopping
edge tool: any cutting tool with a sharp cutting edge (as a chisel or knife or plane or gouge)

hand ax (noun)	edge tool (noun)
a stone tool with a cutting edge; the stone is held in the hand and used for chopping	any cutting tool with a sharp cutting edge (as a chisel or knife or plane or gouge)