Origins
The preposition 'by' is a versatile and high-frequency word in English, expressing proximity ('standβββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ by me'), agency ('painted by Rembrandt'), means ('travel by train'), and deadline ('finished by Friday'). This semantic range descends from a single ancient concept: 'around, on both sides.'
The word comes from Old English 'bΔ«' or 'bΔ«g' (by, near, beside, about, around), from Proto-Germanic *bi (around, about, near), from PIE *hβembΚ°i (around, on both sides). The loss of the initial vowel and the medial *-mbΚ°- cluster in the Germanic branch is regular: PIE *hβembΚ°i simplified to *bi through a series of well-attested sound changes.
The PIE root *hβembΚ°i produced striking cognates in the classical languages. Latin 'ambi-' (around, on both sides) gave English 'ambidextrous' (using both hands β literally 'right-handed on both sides'), 'ambiguous' (driving on both sides β going two ways), 'ambient' (going around), 'ambition' (a going around β originally canvassing for votes in Rome), and 'ambulance' (a walking-around β originally a mobile field hospital). Greek 'amphΓ' (αΌΞΌΟΞ―, around, on both sides) gave 'amphitheater' (a theater with seating on both sides, all around), 'amphibian' (living on both sides β land and water), 'amphora' (a vessel with handles on both sides), and 'amphibology' (an ambiguity β a meaning that goes both ways).
Old English Period
Within English, the prefix 'be-' is the unstressed form of 'by,' and it appears in dozens of common words. 'Become' is 'by-come' (to come around to a state). 'Before' is 'by-fore' (in front, around the front). 'Behind' is 'by-hind' (at the back). 'Below' is 'by-low.' 'Between' is 'by-twain' (by the two, in the space around two things). 'Believe' descends from Old English 'belΘ³fan,' with the 'be-' prefix intensifying the meaning. In each case, 'be-' carries the original sense of 'around, about, concerning.'
The compound 'bylaw' preserves a different etymology: the 'by-' in 'bylaw' is from Old Norse 'bΘ³r' (settlement, town), not from the preposition 'by.' A bylaw is a town-law, a local regulation. However, compounds like 'bystander' (one standing by), 'bypass' (a way going by), 'bygone' (gone by, past), and 'by-product' (a product produced alongside the main one) all use the preposition 'by' in its proximity sense.
German 'bei' (by, at, near) and Dutch 'bij' (at, near, by) are the direct cognates, preserving the spatial proximity sense. The agentive use of 'by' in passive constructions ('the book was written by her') developed in Middle English and represents an extension of the proximity sense: the agent is conceptualized as standing 'beside' the action.