So a Coinbase Transaction does not have anything to do with the site coinbase.com? It's just the terminology or I am wrong? I thought it's called virgin bitcoins?
Sorry, if I sound really stupid
no it is not called "virgin bitcoin"! at least i've never heard anybody refer to them in that way. the transaction itself is called "coinbase transaction" and the reward is referred to either as "block reward" or "newly generated coins".
a lot of different bitcoin related websites are using names that are used in bitcoin for protocol or otherwise. some examples: coinbase (exchange and wallet), blockchain (block explorer and wallet), merkle (news site), statoshi (statistics), ...