1. Perhaps a reference to Republic 472–3.

2. Republic 422e ff., 462a ff.

3. Nicomachean Ethics, V v. ‘Reciprocal equivalence’, to ison to antipeponthos, the principle of mutually supporting diversity of function, whereby (to take a simple example) a shoemaker provides shoes for a baker, who provides bread in return. Here, however, Aristotle uses the term in a wider and more political sense, to summarize the ‘services’ ruler and ruled render to each other by the proper performance of the duties of each role.