The word 'focus' entered English in the early seventeenth century directly from Latin 'focus,' which meant 'hearth' or 'fireplace.' The semantic leap from fireplace to optical convergence point was made by the German astronomer Johannes Kepler in 1604, in his work 'Ad Vitellionem Paralipomena.' Kepler needed a term for the point at which a lens or curved mirror concentrates light rays, and he chose 'focus' because the concentrated light at that point was intense enough to ignite materials — it produced fire, like a hearth. The metaphor was physically apt: the focal point of a lens is where light gathers its heat.
The Latin word 'focus' was central to Roman domestic life. The hearth was the physical and symbolic centre of the Roman household. The fire in the hearth provided warmth, light, and the means of cooking. It was also sacred: the household gods, the Lares and Penates, were associated with the hearth, and the cult of Vesta — goddess of the hearth — was one of the oldest in Roman religion
This centrality of the hearth explains why 'focus' generated words meaning 'centre' in so many Romance languages. French 'foyer' (entrance hall, lobby) comes from 'focus' — the foyer was originally the room with the fireplace, the warm heart of a building. In French theater, the 'foyer' is the lobby where the audience gathers, and 'foyer' in social work means 'home' or 'household.' Italian 'fuoco' (fire), Spanish 'fuego' (fire), and Portuguese 'fogo' (fire) are
The English word 'fuel' also derives from 'focus,' through Old French 'fouaille' (firewood), from Vulgar Latin *focālia (things for the fire). And 'curfew' comes from Old French 'couvre-feu' (cover the fire), a regulation requiring household fires to be banked at a set evening hour to prevent urban conflagrations. The Latin hearth thus generated words for fire, firewood, fire-covering, lobby, and optical convergence — an extraordinary semantic diaspora.
Kepler's optical 'focus' was adopted rapidly by scientists and mathematicians. In geometry, the foci (plural) of an ellipse are two special points around which the ellipse is defined — Kepler showed that planetary orbits are ellipses with the sun at one focus. In optics, the focal length of a lens is the distance from the lens to its focus. A camera focuses by adjusting the distance between the lens and the sensor
The figurative sense of 'focus' — meaning the centre of interest, activity, or attention — developed in the eighteenth century. 'The focus of the debate,' 'the focus of the investigation,' 'focus on the problem' — in each case, the optical metaphor is active: attention is being concentrated on a single point, like light through a lens. The psychological sense of 'focus' as concentrated mental attention became dominant in the twentieth century, particularly in educational and corporate discourse. 'Stay focused,' 'lose focus,' 'bring things
The verb 'to focus' (first attested in the mid-eighteenth century) completed the metaphor. To focus a telescope is to adjust it until the image is sharp. To focus one's mind is to concentrate it until the thought is clear. The parallelism between optical clarity and mental clarity is the same metaphor that drives 'lucid,' 'illuminate,' and 'elucidate' — the deep Indo-European equation between seeing and understanding