min

The root min braids together two separate Latin strands that happen to share the same three letters. Keeping them apart is the whole trick.

Strand one: digging. Latin mina and the verb mināre (in its later, mining sense) meant "to dig out ore from the earth." It came through Old French miner into English as the word we still use: a mine is a hole dug to pull metal, coal, or gems out of the ground; mining is that work; mineral is what you pull out. The picture is always the same — a tunnel driven down and along under the surface.

From this literal digging comes one of English's sneakiest verbs: undermine. Build it from under- + mine and it means "to dig a tunnel underneath something." In siege warfare that's exactly what attackers did — they dug under a castle wall until it collapsed. The modern meaning is the metaphor of that act: to undermine someone's confidence or authority is to quietly dig away at its foundations until it falls, without ever attacking it head-on. The damage happens out of sight, from below.

There is also a darker child of this strand: a mine as a buried bomb. The name comes from the same siege tradition — you dug a mine (tunnel) under the enemy and packed it with explosives. When tunnels gave way to buried charges, the bomb kept the name.

Strand two: jutting out. A completely different Latin verb, minēre, meant "to project, to jut out, to overhang" — think of a cliff or a crag leaning out over the valley below. On its own it barely survives in English, but with prefixes it gives a whole family of "sticking out" words.

- pro- (forward) + minēre → prominent: jutting forward. A prominent cheekbone literally sticks out; a prominent person figuratively stands out from the crowd. The noun is prominence (the state of standing out, or a thing that sticks out, like a solar prominence).
- e-/ex- (out, up) + minēre → eminent: jutting up above the rest. An eminent scientist towers over their field. The noun eminence is that towering reputation (and "Your Eminence" addresses a cardinal who stands high above ordinary clergy).
- Pile prefixes on for superlatives: pre- (before) + eminent → preeminent (standing above all others), and super- (above) + eminent → supereminent (towering even higher still).

The pattern for strand two: minēre gives you a thing that sticks out, and the prefix tells you which direction — pro- forward, e- upward. Whether it's a physical bump or a famous reputation, the image is something rising clear of its surroundings.

One deliberate boundary: do not fold the minus 'small' words into this root. minor, minute, minimum, diminish and minister (originally a 'lesser' servant) all come from Latin minus 'less' — a different source that just happens to look like min. Those live under the separate root minu. So inside min you have two ideas only: digging down (mine, undermine, mineral) and jutting out (prominent, eminent). Anything about smallness belongs elsewhere.