graze (v.1)

"to feed on grass," Old English grasian, from græs "grass" (see grass). Compare Middle Dutch, Middle High German grasen, Dutch grazen, German grasen. Transitive sense from 1560s. Figurative use by 1570s. Related: Grazed; grazing.

graze (v.2)

"to touch lightly in passing," c. 1600, perhaps a transferred sense from graze (v.1) via a notion of cropping grass right down to the ground (compare German grasen "to feed on grass," used in military sense in reference to cannonballs that rebound off the ground). Related: Grazed; grazing. As a noun from 1690s, "an act of grazing."

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Definitions of graze from WordNet
graze (v.)
feed as in a meadow or pasture;
Synonyms: crop / browse / range / pasture
graze (v.)
break the skin (of a body part) by scraping;
She was grazed by the stray bullet
graze (v.)
let feed in a field or pasture or meadow;
Synonyms: crop / pasture
graze (v.)
scrape gently;
graze the skin
Synonyms: crease / rake
graze (v.)
eat lightly, try different dishes;
Synonyms: browse
graze (n.)
a superficial abrasion;
graze (n.)
the act of grazing;
Synonyms: grazing