Webster's 1913 dictionary defines machine as:

MACHINE, noun. [From Latin, machina: machine, engine, device, trick, from Greek, means, expedient]
1. In general, any combination of bodies so connected that their relative motions are constrained, and by means of which force and motion may be transmitted and modified, as a screw and its nut, or a lever arranged to turn about a fulcrum or a pulley about its pivot, etc.; especially, a construction, more or less complex, consisting of a combination of moving parts, or simple mechanical elements, as wheels, levers, cams, etc., with their supports and connecting framework, calculated to constitute a prime mover, or to receive force and motion from a prime mover or from another machine, and transmit, modify, and apply them to the production of some desired mechanical effect or work, as weaving by a loom, or the excitation of electricity by an electrical machine.

I have chosen out some of the words above and indicated them with bold italics. Combined they form this shortened extract:

"Any combination of bodies so connected ... and by means of which force and motion may be transmitted and modified... especially a construction ... of ... wheels, levers, cams, etc, with their supports and connecting framework, calculated ... to receive force and motion... and transmit, modify, and apply them to the production of some desired mechanical effect ..."

Or pared down even more:

"bodies so connected ... by means of which force and motion may be transmitted and modifed ... some desired effect"

"Force and motion" are other names for "energy".

Compare this pared down statement to my statement of Axiom 1: "A machine is a physical object [body] through which energy can flow [by means of which force and motion may be transmitted], and because of its shape, the arrangement of its parts [bodies so connected], and other physical characteristics, causes the energy to be changed as it flows through [transmitted and modified]."