The word 'machine' descends from one of the great PIE roots of power and ability, connecting it to a surprising family of words that includes 'may,' 'might,' and 'magic.' It entered English in the 1540s from French 'machine,' from Latin 'māchina' (a device, contrivance, apparatus, siege engine), borrowed from Greek 'mēkhanē' (a device, means, expedient, contrivance, machine). The Doric Greek form was 'mākhanā,' and both derive from PIE *magh- (to be able, to have power, to help).
The PIE root *magh- branched through two major pathways into English. Through Greek and Latin, it produced 'machine,' 'mechanism,' 'mechanic,' and 'mechanical' — all preserving the sense of 'a means of doing, a device that empowers.' Through Germanic, the same root produced 'may' (to have the power or ability to do something), 'might' (power, strength), and 'main' (originally 'strong, powerful,' as in 'main force'). Through Old Persian
The semantic thread connecting all these words is empowerment. A machine is a device that empowers its user to accomplish something beyond unaided human capacity. 'May' expresses permission or ability — having the power to do something. 'Might' is raw power or strength. And 'magic
In Greek, 'mēkhanē' had a broader range than modern English 'machine.' It could mean any contrivance, plan, or expedient — including a military stratagem, a theatrical stage device (the 'deus ex machina,' god from the machine, was literally a crane that lowered an actor playing a god onto the stage), or a rhetorical trick. Aristotle used 'mēkhanē' to discuss both physical levers and metaphorical means to an end.
Latin 'māchina' inherited this breadth: Vitruvius used it for war machines, water mills, and construction cranes; Cicero used it metaphorically for political contrivance. The word's association with theatrical stage machinery gave rise to the literary term 'deus ex machina' — an artificial resolution introduced from outside the plot, as if lowered by a stage crane.
The modern English narrowing of 'machine' to mean specifically a mechanical apparatus with moving parts is largely a product of the Industrial Revolution. Before the eighteenth century, 'machine' could still mean any device, contrivance, or organized system. The phrase 'political machine' preserves the older, broader sense of 'an organized system that operates efficiently.'
The distinction between 'engine' (from Latin 'ingenium,' inborn cleverness) and 'machine' (from Greek 'mēkhanē,' a means or device) is etymologically interesting: an engine emphasizes the ingenuity behind the invention, while a machine emphasizes the empowerment it provides. Both words converged on similar meanings through centuries of overlapping use.