The inner connections are all common. It's obvious to those who aren't deliberately obtuse.
generator
1. A machine that converts mechanical energy into electricity to serve as a power source for other machines. Electrical generators found in power plants use water turbines, combustion engines, windmills, or other sources of mechanical energy to spin wire coils in strong magnetic fields, inducing an electric potential in the coils.
As it puts out AC, it is more precise to call it an alternator, but it is also a generator.