From Reason:

[J]ust as with firearms in Heller, bladed weapons facially constitute “arms” within the meaning of the Second Amendment. Like firearms, bladed weapons fit the general definition of “arms” as “[w]eapons of offence” that may be “use[d] in wrath to cast at or strike another.” Moreover, contemporaneous sources confirm that, at the time of the adoption of the Second Amendment, the term “arms” was understood as generally extending to bladed weapons.