OK try this:
The motor needs two connections to the mains, live (the brown wire in a mains cable), and neutral (the blue wire in a mains cable).
It is usual to put the switch in the live wire. You could put it in the neutral, but for various reasons it is much safer in the live wire.
An AC motor does not care which way round it is connected, it will turn in the same direction which ever side is connected to live and neutral.
So what I intended was this:
Talking technical, for the other members here who are reading this,
how I show the connection to the capacitor, puts it in series with one of the two motor windings, thus creating a phase shifted current through one of the windings, which is what an induction motor needs to enable it to start.
Connecting the capacitor to the motor brown and green wires, puts it in parallel with the winding and does nothing to create the phase shift required to start the motor.
Does anyone here agree with me?
An afterthought.
It could be possible for the parallel connection to create a phase shifted current in the other winding so allowing the motor to start.
But to me this is just a mistake which fortuitously works.
JimB