Archi, it seems you're lacking in understanding some of our drawing conventions. What you need to keep in mind is that things are shown in their 'unenergised' state. Since that state can change when power is applied, it can be hard to follow.
For a conventional 3-wire switch set-up:
Your 'stop' buttons are in series, while the 'start' buttons are in parallel. All of these buttons work together with a set of contacts on the coil to control power to the coil.
Also, the buttons are all -usually- 'momentary.' That is, the contacts change position only while your finger is pressing down on them.
When you press the 'start' button, the coil closes another set of contacts, that keeps the coil energized after you release the button. The machine will remain running until this secondary circuit is interrupted. That's what the stop buttons do- they kill power to this second path as well as to the path through the 'start' button.
You need only open the circuit for a moment for the coil to drop out. Then, you need to press 'start' to get things going again.
The advantage to this arrangement is that you can use a low voltage, low current circuit to control a larger machine - or several machines. You can easily add in other controls.
