Why are the potentials the same?

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The discussion centers on understanding why the electric potentials are equal in a parallel capacitor configuration. It is clarified that capacitors connected in parallel share the same voltage across their terminals, leading to equal potentials. The confusion arises from interpreting the circuit layout, with one participant mistakenly thinking the capacitors are in series. However, the key point is that the positive terminals of both capacitors are connected, confirming their parallel arrangement. This understanding is crucial for applying the formula V = q/C correctly.
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Could someone tell me why the potentials are the same in http://i.imgur.com/EdnqE.jpg.

I am talking about right under the part where it says "Also, the potentials across them are now the same, so that V = q/C gives". I understand everything prior to that. I even understand the stuff after it! I just need to justify to myself the theory behind why the potentials are equal so that I can move on. Please be elaborate but a short response is fine.

Any input would be greatly appreciated!
Thanks in advance!
 
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They are connected in parallel so the potential is the same for both.
 
How do you discern that they are parallel? I was under the impression that "(b) After" is in series.
 
The positive terminal is connected to the positive terminal in both capacitors.
 

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