on the Internet和on the computer,例句如下

on the Internet和on the computer,例句如下
I often play computer games on the Internet 我经常在互联网上玩游戏
I often play computer games on the computer 我经常玩游戏通过电脑
我认为这两句都可以,不过哪一个是正确的

I often play computer games on the Internet 我经常在互联网上玩游戏 I often play computer...