How does Honda's hybrid engine work?

I believe I understand the Prius technology, i.e. the combustion engine works until the batteries can take over, and then the batteries supply the power until they are exhausted. I believe the Honda hybrid technology for my 2007 Civic is different. I believe that the batteries somehow ‘assist’ the combustion engine, even when the combustion engine is working. If so, how is that possible? Thanks.