hatch v.1

c. 1300 (mid-12c. in surnames), "small axe with a short handle," designed to be used by one hand, from Old French hachete "small combat-axe, hatchet," diminutive of hache "axe, battle-axe, pickaxe," possibly from Frankish *happja or some other Germanic source, from Proto-Germanic *hapjo- (source also of Old High German happa "sickle, scythe").

This is perhaps from PIE root *kop- "to beat, strike" (source also of Greek kopis "knife," koptein "to strike, smite," komma "piece cut off;" Lithuanian kaplys "hatchet," kapti, kapiu "to hew, fell;" Old Church Slavonic skopiti "castrate," Russian kopat' "to hack, hew, dig;" Albanian kep "to hew").

Hatchet-face in reference to one with sharp and prominent features is from 1650s. In Middle English, hatch itself was used in a sense "battle-axe." In 14c., hang up (one's) hatchet meant "stop what one is doing." Phrase bury the hatchet "lay aside instruments of war, forget injuries and make peace" (1754) is from a Native American peacemaking custom described from 1680. Hatchet-man was originally California slang for "hired Chinese assassin" (1880), later extended figuratively to journalists who attacked the reputation of a public figure (1944).

1650s, "to hack, chop into small pieces," from French hacher "chop up" (14c.), from Old French hache "ax" (see hatchet). Hash browns (1926) is short for hashed browned potatoes (1886), with the -ed omitted, as in mash potatoes. The hash marks on a football field were so called by 1954, from their similarity to hash marks, armed forces slang for "service stripes on the sleeve of a military uniform" (1909), which supposedly were called that because they mark the number of years one has had free food (that is, hash (n.1)) from the Army; but perhaps there is a connection with the noun form of hatch (v.2).