Axe and Common axe

Axe noun - An edge tool with a heavy bladed head mounted across a handle.

Common axe and axe are semantically related. In some cases you can replace phrase "Common axe" with "Axe", this terms are similar.

Common axe noun - An ax with a long handle and a head that has one cutting edge and one blunt side.

Axe and common axe are semantically related. You can use "Axe" instead a noun phrase "Common axe".