Translation of initiieren

I counted the bills and saw that ten thousand Lire were still missing. The old man return to the children, grabbed the oldest one for a second time and hit him again. A minute later he came back with the missing.
She even compares the hills across the station with the belly of a pregnant woman by saying that they do look like white elephants. Maybe she thinks that way but I am not really sure about that.
We walked by waterfalls and rivers, but the water was too cold to swimm in. The hike made us tired and we were in the valley, which meant that we had to climb up again. The climb was difficult.