【Brush】 , 【graze】 , 【glance】 , 【shave】 , 【skim】 are comparable when they mean to touch lightly in passing.

【Brush】 implies a movement like the flick of a 【brush】 upon a surface: sometimes it suggests no more than an almost impalpable touching, but sometimes it suggests a light touching or rubbing that disperses something that it touches.

【Graze】 implies the swift passage of a bullet or any rapidly moving object so that it touches a person or thing abrading the surface or, in the case of a person, the skin.

【Glance】 (see also FLASH) basically implies a blow (as from a sword, a spear, or an ax) that owing to the hardness or resistance of what is struck turns aside or slips and so fails of its full effect; hence 【glance】 in its participial form glancing is often used to describe such a blow either in its course or effect.

【Shave】 implies a touching as lightly and closely as a razor that passes over the face; although it comes near to 【graze】 , it carries no implication of abrasion but rather in some contexts suggests a dangerous approach or a narrow escape.

【Skim】 (see also FLY) also implies a light touch in passing, but it never suggests the action of anything (as a bullet, a razor, or a weapon) that is even slightly dangerous; rather it suggests an avoidance of depths by someone or something that touches upon the surface or dips only into shallows ( 【skim】 a book in reading).