English - Bore

= to form a tunnel, mine, well, passage, by hollowing out, cutting through, or removing a core of material

Hebrew - בְּאֵר - bor

= pit, cistern, well

Family/Language Indo-European Reflexes: Gloss
Irish: barra bar, spike
Gaelic: barra bar, spike
Breton: barren bar, branch
Cornish: bara bar
Welsh: bar bar, rail
Old English: bearg/bearh barrow
  bor auger, gimlet
  borian to bore, pierce
Middle English: barow(e)/bar(r)ow/baru barrow
  barr(e) bar
  bor(i)en to bore
English: bar barrier, straight solid wood/metal implement
  bore to pierce with rotary tool
  borer rotary tool for boring
  burin stone-cutting tool with sharp beveled point
  foramen fenestra: small opening/orifice/perforation
  perforate to make hole(s) in
Frisian: baerg barrow
Dutch: barg barrow
  berg barrow
  boor borer, auger, gimlet
  boren to bore
Middle Low German: barc barrow
  bor borer, auger, gimlet
Old High German: bar(u)g/barc barrow
  boro auger
  borōn to bore
Middle High German: bar(re) bar
  born to bore
German: barre bar, ingot
  bohren to bore
  bohrer borer, auger, gimlet
Old Norse: barki throat
Old Icelandic: bora to bore (holes in)
  borr borer, auger, gimlet
Icelandic: bora to bore
  borr borer, auger, gimlet
  b÷rgr barrow
Danish: barre bar, ingot
  bor borer, auger, gimlet
  bore to bore
Swedish: borr borer, auger, gimlet
  borra to bore
Latin: feriō, ferīre to strike, cut, kill
  forāmen, forāminis hole, opening
  forō, forāre to bore, pierce
  perforo, perforare, perforatus to pierce, perforate
Late Latin: barra bar
Portuguese: barra bar
Spanish: barra bar
Old French: barre bar
French: barre bar
Old Occitan: barra bar
Italian: barra bar
Russian: baru bar
  bort hollowed-out tree
Albanian: brimŰ hole
Classical Armenian: beran mouth
Armenian: brem to dig, drill (out)
From TWOT:

b˘r: Cistern, dungeon, fountain, pit, well. See Jer 2:13, to which it is parallel in Prov 5:15.

A cistern dug in rock which stored water in the rainy season. In time the water stagnated, and earthquakes cracked the rock and plaster. Jeremiah contrasts Jehovah, an artesian well, with idolatry, a stagnant, leaky cistern.

Wells for water were dug in the earth (Gen 21:30; 26:18,21-22,25) and the discovery of water was an occasion for rejoicing, celebrated in song (Gen 26:32; Num 21:17-18). Ordinarily water had to be drawn (Gen 24:11,20), and so a flowing well ("living water") was a particularly good fortune (Gen 26:19). In a land where water was scarce, wells were a source of contention (Gen 26:19-21). Israel promised that they would drink no water from the wells of Edom and Ammon if they were allowed to pass through their territory (Num 20:17). When not in use, the well could be protected with a stone covering (Gen 29:2ff.). So covered, the well served as a hiding place for David's informers (2 Sam 17:18-21). Water was drawn by women, and so the well served as a meeting place for the servant of Abraham and Rebekah (Gen 24:11ff), Jacob and Rachel (Gen 29:2ff), and Moses and Zipporah (Ex 2:15ff).

From BDB:

בְּאֵר לַחַי רֹאִי well of the living One that seeth me, Gn 16:14.

בְּאֵר שֶׁ֫בַע = Beersheba well of seven, explained Gn 21:30, 31 as place of swearing by seven lambs, or, well of oath.

Numerous other citations.

We can see the many variations in use of the Indo-European word. These uses are paralleled in the Hebrew forms, bor, bar, and bur. The barrow in those languages probably came from the same root, where the barrow is similar to a pit.
Following are modern illustrations of the English use of the word bore.

A water well is an excavation or structure created in the ground by digging, driving, boring or drilling to access groundwater in underground aquifers.

An oil well is a general term for any boring through the earth's surface that is designed to find and acquire petroleum oil hydrocarbons.

Drilling a well is more than boring a hole into the earth. A finished well will consist of a borehole cut into the aquifer at a diameter large enough to accept the well casing which will receive the pump.

Delays feared as British Petroleum relief bore nears well.

Two of the best ways to bring clean water to Ugandans are with sheltered springs and bore holes (wells).

Drilling and Boring Tools

Jig boring is used to accurately enlarge existing holes and make their diameters highly accurate. Jig boring is used for holes that need to have diameter and total runout controlled to a high degree.